Q1
MCQ[1 Mark]
If a positive real satisfies the following equation
then the value of is
Type:
Quantitative Aptitude
510 QuestionsQ2
MCQ[1 Mark]
The next figure (indicated by '?') in the sequence is
Q3
MCQ[1 Mark]
Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
(S3) Each number is at least 20
Choose the option that is necessarily correct.
Q4
MCQ[2 Marks]
Consider a string P of length that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Figure (i). When both the strings are shortened by a length they can be re-arranged such that the shortened string K forms a full circle with the shortened string P as its diameter, as represented in Figure (ii). The value of is _______
Q5
MCQ[2 Marks]
The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with exactly one person sitting in each box. It is known that
(i) Meritorius' daughter and his brother are seated in the same column.
(ii) His son is seated diagonally across the sibling of the worst orator.
(iii) The best and worst orators are seated in the same row.
Who is the best orator?
Q6
MCQ[2 Marks]
Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?
Q7
MCQ[1 Mark]
A school has 100 students distributed among 1st to 10th standards. Based on this, which one of the following statements is always correct?
Q8
MCQ[1 Mark]
How many 3-digit numbers can be formed using three distinct single digit prime numbers?
Q9
MCQ[1 Mark]
In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is ____
Q10
MCQ[2 Marks]
As shown in the figure, circle 𝐶1 with center 𝑂1 and radius 𝑟1 touches the square 𝑉𝑊𝑋𝑌 at points 𝑃 and 𝑄 while circle 𝐶2 with center 𝑂2 and radius 𝑟2 touches the square 𝑉𝑊𝑋𝑌 at points 𝑅 and 𝑆. The two circles touch each other at 𝑇. Given 𝑟1 = 1 cm and ̅̅̅̅ ̅̅̅̅̅ = 4 cm, 𝑟2 = _____ cm. 𝑉𝑌 = 𝑉𝑊
Q11
MCQ[1 Mark]
The 2nd of June is a Thursday in a certain year. Which day of the week is the
3rd of July in that year?
(A) Thursday
(B) Friday
(C) Saturday
(D) Sunday
Q12
MCQ[2 Marks]
Circles 𝐶 , 𝐶 , and 𝐶 , with centers 𝑂 , 𝑂 , and 𝑂 , and radii 𝑟 , 𝑟 , and 𝑟 ,
1 2 3 1 2 3 1 2 3
respectively, touch each other as shown in the following figure. Given 𝑟 = 2 cm,
1
𝑟 = 1 cm and the angle ∠𝑂 𝑂 𝑂 is 90°, 𝑟 = _____ cm.
2 1 3 2 3
(A) 1
(−3+√17 )
2
(B) 1
(3+√17 )
2
(C) 1
(−2+√17 )
2
(D) 1
(−3+2√17 )
2
Q13
MCQ[1 Mark]
In the sequence of tiles shown below, the missing tile indicated by the question mark should be:
Q14
MCQ[1 Mark]
A school has 100 students distributed among 1st to 10th standards. Based on this, which one of the following statements is always correct?
Q15
MCQ[1 Mark]
How many 3-digit numbers can be formed using three distinct single digit prime numbers?
Q16
MCQ[1 Mark]
In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is
Q17
MCQ[2 Marks]
A paper shown in Panel I is folded along the dashed lines (---) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
Q18
MCQ[2 Marks]
Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such that any two corners that are connected by an edge must be of different colors. The minimum number of colors required to achieve this is
Q19
MCQ[2 Marks]
Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them:
i. Neither H2 nor H3 is the easternmost hill.
ii. Neither H2 nor H3 is the westernmost hill.
iii. Neither the easternmost hill nor the westernmost hill is the southernmost hill.
iv. Two hills are located to the west of H2.
v. The southernmost hill has at least two hills to its east.
The southernmost hill is
Q20
MCQ[2 Marks]
As shown in the figure, circle C1 with center O1 and radius r1 touches the square VWXY at points P and Q while circle C2 with center O2 and radius r2 touches the square VWXY at points R and S. The two circles touch each other at T. Given r1 = 1 cm and VY = VW = 4 cm, r2 =
Q21
MCQ[1 Mark]
The figure below is supposed to show three non-overlapping shapes - one oval and two triangles. Which one of the following figures P, Q, R, or S fits the missing portion indicated by '?' and completes the oval and the two triangles?
Q22
MCQ[1 Mark]
At how many points will the curves and intersect in the real plane?
Q23
MCQ[1 Mark]
Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?
Q24
MCQ[2 Marks]
In the given figure, is the diameter of a circle with center . Two points and are chosen on the circle such that . When and are extended, they meet at . The value of is
Q25
MCQ[2 Marks]
Based on the relationship between each polygon and the number inside it, the value of 'X' is
Q26
MCQ[2 Marks]
Consider a linear arrangement of seven bulbs under specified state change rules. The number of bulbs which are ON at the end of Step 8 is
Q27
MCQ[2 Marks]
P and Q are two positive integers such that . The product of the numbers P and Q is
Q28
MCQ[1 Mark]
In the sequence of tiles shown below, the missing tile indicated by the question mark should be ?
Q29
MCQ[1 Mark]
A school has 100 students distributed among 1st to 10th standards. Based on this, which one of the following statements is always correct?
Q30
MCQ[1 Mark]
How many 3-digit numbers can be formed using three distinct single digit prime numbers?
Q31
MCQ[1 Mark]
In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is
Q32
MCQ[2 Marks]
A paper shown in Panel I is folded along the dashed lines to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
Q33
MCQ[2 Marks]
Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such that any two corners that are connected by an edge must be of different colors. The minimum number of colors required to achieve this is
Q34
MCQ[2 Marks]
Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them:
i. Neither H2 nor H3 is the easternmost hill.
ii. Neither H2 nor H3 is the westernmost hill.
iii. Neither the easternmost hill nor the westernmost hill is the southernmost hill.
iv. Two hills are located to the west of H2.
v. The southernmost hill has at least two hills to its east.
The southernmost hill is
Q35
MCQ[2 Marks]
As shown in the figure, circle C1 with center O1 and radius r1 touches the square VWXY at points P and Q while circle C2 with center O2 and radius r2 touches the square VWXY at points R and S. The two circles touch each other at T. Given r1 = 1 cm and VY = VW = 4 cm, r2 is
Q36
MCQ[1 Mark]
The figure shows two 4-tile patterns. Either one or both of the patterns can be used any number of times and in any orientation to construct a new pattern. Which one of the options below cannot be constructed by using only these two 4-tile patterns assuming there are no overlaps among them?
Q37
MCQ[1 Mark]
Consider a knock-out women's badminton singles tournament where there are no ties. The loser in each game is eliminated from the tournament. Every player plays until she is defeated or remains the last undefeated player. The last undefeated player is declared the winner of the tournament. If there are 64 players in the beginning of the tournament, how many games should be played in total to declare the winner of the tournament?
Q38
MCQ[1 Mark]
A student needs to enroll for a minimum of 60 credits. A student cannot enroll for more than 70 credits. The credits are divided amongst project and three distinct sets of courses namely, core courses, specialization courses, and elective courses. It is compulsory for a student to enroll for exactly 15 credits of core courses and exactly 20 credits of project. In addition, a student has to enroll for a minimum of 10 credits of specialization courses. The maximum credits of elective courses that a student can enroll for is
Q39
MCQ[2 Marks]
In Panel I of the figure below, the front view and top view of a structure are shown. Which one of the 3D structures shown in Panel II possesses the views shown in Panel I?
Q40
MCQ[2 Marks]
For positive real numbers S and K, the function H_K(S) is defined as: H_K(S) = max(S-K, 0)... The graph below shows the plot of a function N(S) versus S. N(S) can be expressed as
Q41
MCQ[2 Marks]
In the 2020 summer Olympics' Javelin throw finals... In which round did Vitezlav Vesely have his best throw?
Q42
MCQ[2 Marks]
An unbiased six-faced dice... rolled twice in succession... The probability that the number appearing in the second roll is an integer multiple of the number appearing in the first roll is
Q43
MCQ[1 Mark]
The statements (S1), (S2), and (S3) pertain to the scores obtained by students in an exam. The maximum possible marks in the exam is 150.
(S1) The highest score is 100.
(S2) The fourth highest score is 76.
(S3) There are at least four students whose scores are within 25 of each other.
Which one of the following options is necessarily correct?
Q44
MCQ[1 Mark]
The figure below has exactly three intersecting line segments with a rectangular portion WXYZ missing. Which one of the following options P, Q, R, and S is the missing portion WXYZ?
Q45
MCQ[1 Mark]
Real numbers y, p, and n (all greater than 1) satisfy where the logarithms are taken to the bases and The value of n is
Q46
MCQ[1 Mark]
The following observation is made about the scores obtained by 100 students in an exam:
'For each student, there exists another student in the class such that their scores are at most ten marks away.'
If the above statement is false, which one of the following statements is necessarily true?
Q47
MCQ[2 Marks]
Three children P, Q, R and two grown-ups X, Y play a badminton doubles tournament. X and Y are parents to two of the children playing. The child of X is not the same as the child of Y. Exactly one of the children does not have a parent playing in the tournament. The following rules are followed:
(i) A parent and his/her child cannot be on the same team.
(ii) A match can feature at most one parent and his/her child, that is, a maximum of one parent-child pair can play in a match.
The following matches were played:
MATCH 1: TEAM 1: Q and R, TEAM 2: P and X
MATCH 2: TEAM 1: X and Y, TEAM 2: P and R
MATCH 3: TEAM 1: R and X, TEAM 2: Q and Y
Which one of the following options is correct?
Q48
MCQ[2 Marks]
Let represent the perimeter of a square with sides of length k. The value of the expression is
Q49
MCQ[2 Marks]
The city of Atlantis was crafted by the God of the seas, Poseidon. It was made of alternating concentric circular rings of land (shaded) and water (not shaded) as represented in the figure (not to scale). The radius of Inner Island was 2.5 stades (a unit of length used in ancient Greece). The water surrounding Inner Island was one stade wide (length AB). This was surrounded by two pairs of alternating rings of land and water. The first pair of land and water was two stades wide each (lengths BC and CD), and the outer pair is three stades wide each (lengths DE and EF).
The ratio of the surface area of the land to that of the water in the city of Atlantis is ______ (round off to two decimal places).
Q50
MCQ[1 Mark]
The figure shows three non-overlapping shapes (one oval and two triangles). Which one of the figures P, Q, R, or S fits the missing portion indicated by '?'?
Q51
MCQ[1 Mark]
At how many points will the curves y = x^2 and y = -x^2 - 2x - 1 intersect in the real (x, y) plane?
Q52
MCQ[1 Mark]
Which one of the following figures P, Q, R, or S correctly shows the 45° clockwise-rotated version of figure (I)?
Q53
MCQ[2 Marks]
In the given figure, PQ is the diameter of a circle with center O. Points R and S are on the circle with angle ROS = 80°. PR and QS extended meet at T. The value of angle RTS is
Q54
MCQ[2 Marks]
Based on the relationship between each polygon and the number inside it (6, 24, 120, X), the value of X is
Q55
MCQ[2 Marks]
Consider a linear arrangement of seven bulbs with specific transition rules applied at each step. The number of bulbs which are ON at the end of Step 8 is
Q56
MCQ[2 Marks]
P and Q are two positive integers such that P^2 = Q^2 + 13. The product of the numbers P and Q is
Q57
MCQ[1 Mark]
To continue the sequence of tiles shown, the tile indicated by the question mark should be
Q58
MCQ[1 Mark]
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is
Q59
MCQ[1 Mark]
The 2nd of June is a Thursday in a certain year. Which day of the week is the 3rd of July in that year?
Q60
MCQ[1 Mark]
A coin with heads facing up is shown as H and a coin with tails facing up is shown as T. Six coins are placed in the Starting Arrangement, as shown in the figure below. A "step" is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is
Q61
MCQ[2 Marks]
A paper shown in Panel I is folded along the dashed lines to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
Q62
MCQ[2 Marks]
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore,
1. the total number of patients with at least one of these conditions is 75,
2. the number of patients with high cholesterol is 10,
3. the number of patients with high BP is 45, and
4. the number of patients with only high BP and no other conditions is 20.
Then the number of patients who have both diabetes and high BP is
Q63
MCQ[2 Marks]
Four people P, Q, R, and S, of different ages, make the following observations.
P: I am younger than S.
Q: I am neither the youngest nor the oldest.
R: P is older than me.
Based on these observations, the youngest person is
Q64
MCQ[2 Marks]
Circles , , and , with centers , , and , and radii , and , respectively, touch each other as shown in the following figure. Given cm, cm and the angle is , ____ cm.
Q65
MCQ[1 Mark]
To continue the sequence of tiles shown, the tile indicated by the question mark should be
Q66
MCQ[1 Mark]
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is
Q67
MCQ[1 Mark]
The 2nd of June is a Thursday in a certain year. Which day of the week is the 3rd of July in that year?
Q68
MCQ[1 Mark]
A coin with heads facing up is shown as H and a coin with tails facing up is shown as T. Six coins are placed in the Starting Arrangement, as shown in the figure below. A "step" is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is
Q69
MCQ[2 Marks]
A paper shown in Panel I is folded along the dashed lines to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
Q70
MCQ[2 Marks]
Four people P, Q, R, and S, of different ages, make the following observations.\nP - I am younger than S.\nQ - I am neither the youngest nor the oldest.\nR - P is older than me.\nBased on these observations, the youngest person is
Q71
MCQ[2 Marks]
Circles C1, C2, and C3, with centers O1, O2, and O3, and radii r1, r2, and r3, respectively, touch each other as shown in the following figure. Given r1 = 2 cm, r2 = 1 cm and the angle angle O1O3O2 is 90 degrees, r3 = ____ cm.
Q72
MCQ[1 Mark]
If a positive real x satisfies the following equation , then the value of x is
Q73
MCQ[1 Mark]
The next figure (indicated by '?') in the sequence is
Q74
MCQ[1 Mark]
'All the mangoes in the basket are good.' If the above statement is false, then which one of the following statements is necessarily true?
Q75
MCQ[1 Mark]
Consider the following statements about four numbers: (S1) The average of the four numbers is 25. (S2) Each number is at most 40. (S3) Each number is at least 20. Choose the option that is necessarily correct.
Q76
MCQ[2 Marks]
Consider a string P of length that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Figure (i). When both the strings are shortened by a length they can be re-arranged such that the shortened string K forms a full circle with the shortened string P as its diameter, as represented in Figure (ii). The value of is
Q77
MCQ[2 Marks]
The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with exactly one person sitting in each box. It is known that:
(i) Meritorius' daughter and his brother are seated in the same column.
(ii) His son is seated diagonally across the sibling of the worst orator.
(iii) The best and worst orators are seated in the same row.
\nWho is the best orator?
Q78
MCQ[2 Marks]
Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?
Q79
MCQ[1 Mark]
To continue the sequence of tiles shown, the tile indicated by the question mark should be
Q80
MCQ[1 Mark]
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is
Q81
MCQ[1 Mark]
The 2nd of June is a Thursday in a certain year. Which day of the week is the 3rd of July in that year?
Q82
MCQ[1 Mark]
A coin with heads facing up is shown as H and a coin with tails facing up is shown as T. Six coins are placed in the Starting Arrangement (H H H T T T). The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement (T T T H H H) is
Q83
MCQ[2 Marks]
A paper shown in Panel I is folded along the dashed lines to construct a cube. Referring to cubes shown in Panel II, which one of the options is correct?
Q84
MCQ[2 Marks]
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore, 1) total patients with at least one condition = 75, 2) high cholesterol = 10, 3) high BP = 45, 4) only high BP and no other conditions = 20. The number of patients who have both diabetes and high BP is
Q85
MCQ[2 Marks]
Four people P, Q, R, and S, of different ages, make the following observations. P: I am younger than S. Q: I am neither the youngest nor the oldest. R: P is older than me. Based on these observations, the youngest person is
Q86
MCQ[2 Marks]
Circles , , and , with centers , , and , and radii , , and , respectively, touch each other as shown. Given cm, cm and the angle is , cm.
Q87
MCQ[1 Mark]
If a positive real satisfies the following equation , then the value of is
(A)
(B)
(C)
(D)
Q88
MCQ[1 Mark]
The next figure (indicated by '?') in the sequence is...
Q89
MCQ[1 Mark]
Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
(S3) Each number is at least 20\nChoose the option that is necessarily correct.
(A) (S1) and (S2) together imply (S3)
(B) (S2) and (S3) together imply (S1)
(C) (S1) and (S3) together imply (S2)
(D) (S1) implies (S3)
Q90
MCQ[2 Marks]
Consider a string P of length laid out as a straight-line segment. String K is a semicircular arc with P as diameter. Both strings are shortened by length , such that shortened K forms a full circle with shortened P as its diameter. The value of is
(A)
(B)
(C)
(D)
Q91
MCQ[2 Marks]
The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels, seated in a 2x2 grid. Conditions given: (i) Daughter and brother in same column. (ii) Son is seated diagonally across the sibling of the worst orator. (iii) Best and worst orators in the same row. Who is the best orator?
(A) Meritorius
(B) Meritorius' brother
(C) Meritorius' son
(D) Meritorius' daughter
Q92
MCQ[2 Marks]
Which one of the patterns labelled P, Q, R, and S is used to generate the given figure?
(A) P
(B) Q
(C) R
(D) S
Q93
MCQ[1 Mark]
A black square PQRS has been cut into two parts. One part of it is shown in Panel I. Which one of the shapes in Panel II is the other part?
Q94
MCQ[1 Mark]
A day can only be cloudy or sunny. The probability of a day being cloudy is 0.5, independent of the condition on other days. What is the probability that in any given four days, there will be three cloudy days and one sunny day?
Q95
MCQ[1 Mark]
The values of Stock A and Stock B on a particular day are Rs. 50 and Rs. 80, respectively. An investor invests Rs. 100 in Stock A and Rs. 80 in Stock B. He sells all the stocks the next day when the value of Stock A is Rs. 55 and Stock B is Rs. 70. The profit made by the investor is Rs.
Q96
MCQ[2 Marks]
Two tiles are missing in Panel I. Which one of the options in Panel II is the appropriate choice for the missing tiles?
Q97
MCQ[2 Marks]
Figures (i) and (ii) represent intercity highway systems. The black dots represent cities and the line segments between them represent intercity highways. A salesperson needs to make a trip. She needs to start from a city, visit each of the remaining cities exactly once, and finally return to the same city from which she started.
Which one of the following options is then true?
Q98
MCQ[2 Marks]
The figure in Panel I below is a grid of cells with four rows and four columns. The numbers on the top and on the left represent the number of cells that are to be shaded in that column and row, respectively. Which one of the options shown in Panel II below represents the grid shaded correctly?
Q99
MCQ[2 Marks]
An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice in succession and the number on the top face is recorded each time. The probability that the sum of the two recorded numbers is a prime number is
Q100
MCQ[1 Mark]
A black square PQRS has been cut into two parts. One part of it is shown in Panel I. Which one of the shapes in Panel II is the other part?
Q101
MCQ[1 Mark]
A day can only be cloudy or sunny. The probability of a day being cloudy is 0.5, independent of the condition on other days. What is the probability that in any given four days, there will be three cloudy days and one sunny day?
Q102
MCQ[1 Mark]
The values of Stock A and Stock B on a particular day are Rs. 50 and Rs. 80, respectively. An investor invests Rs. 100 in Stock A and Rs. 80 in Stock B. He sells all the stocks the next day when the value of Stock A is Rs. 55 and Stock B is Rs. 70. The profit made by the investor is Rs.
Q103
MCQ[2 Marks]
Two tiles are missing in Panel I. Which one of the options in Panel II is the appropriate choice for the missing tiles?
Q104
MCQ[2 Marks]
Figures (i) and (ii) represent intercity highway systems. The black dots represent cities and the line segments between them represent intercity highways. A salesperson needs to make a trip. She needs to start from a city, visit each of the remaining cities exactly once, and finally return to the same city from which she started.
Which one of the following options is then true?
Q105
MCQ[2 Marks]
An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice in succession and the number on the top face is recorded each time. The probability that the sum of the two recorded numbers is a prime number is
Q106
MCQ[1 Mark]
The 12 musical notes are given as and . Frequency of each note is times the frequency of the previous note. If the frequency of the note is , then the ratio of frequencies of notes and is:
Q107
MCQ[1 Mark]
The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration ' is:
Note: The figures shown are representative.
Q108
MCQ[1 Mark]
Which one of the following plots represents , where is a non-zero real number?
Note: The figures shown are representative.
Q109
MCQ[2 Marks]
A stick of length one meter is broken at two locations at distances of and from the origin (), as shown in the figure. Note that . Which one of the following is NOT a necessary condition for forming a triangle using the three pieces?
Note: All lengths are in meter. The figure shown is representative.
Q110
MCQ[2 Marks]
Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the round, student behind P leaves the game. After round, student behind Q leaves the game. After round, student behind V leaves the game. After round, student behind U leaves the game. Who all are left in the game after the round?
Note: The figure shown is representative.
Q111
MCQ[2 Marks]
An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is of the consulting fee, if the fee is up to ₹ . For higher fees, the overhead is ₹ plus of the amount by which the fee exceeds ₹ . The government charges a Goods and Services Tax of on the total amount (the consulting fee plus the overhead). An employee of the organization charges this entire amount, i.e., the consulting fee, overhead, and tax, to the client. If the client cannot pay more than ₹ , what is the maximum consulting fee that the employee can charge?
Q112
MCQ[1 Mark]
A rectangle has a length L and a width W, where L > W. If the width, W, is increased by 10%, which one of the following statements is correct for all values of L and W?
Q113
MCQ[2 Marks]
If a real variable 𝑥 satisfies 3𝑥2 = 27 × 9𝑥, then the value of 2𝑥2 (2𝑥)2 is:
Q114
MCQ[1 Mark]
The average marks obtained by a class in an examination were calculated as 30.8. However, while checking the marks entered, the teacher found that the marks of one student were entered incorrectly as 24 instead of 42. After correcting the marks, the average becomes 31.4. How many students does the class have?
Q115
MCQ[1 Mark]
Consider the relationships among P, Q, R, S, and T:
• P is the brother of Q.
• S is the daughter of Q.
• T is the sister of S.
• R is the mother of Q.
The following statements are made based on the relationships given above.
(1) R is the grandmother of S.
(2) P is the uncle of S and T.
(3) R has only one son.
(4) Q has only one daughter.
Which one of the following options is correct?
Q116
MCQ[2 Marks]
In the diagram, the lines QR and ST are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point P and line QR. What is the ratio of the area of the triangle PST to the area of the trapezium SQRT?
Q117
MCQ[2 Marks]
A fair six-faced dice, with the faces labelled '1', '2', '3', '4', '5', and '6', is rolled thrice. What is the probability of rolling '6' exactly once?
Q118
MCQ[2 Marks]
A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to purchase 3 scoops of ice-cream, in how many ways can one make that purchase?
Q119
MCQ[1 Mark]
The sum of the following infinite series is:
Q120
MCQ[1 Mark]
A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?
Q121
MCQ[1 Mark]
The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?
Q122
MCQ[2 Marks]
Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?
Q123
MCQ[2 Marks]
A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K). Which one of the following options displays the color codes that are consistent with the color model?
Q124
MCQ[2 Marks]
A circle with center at and radius intersects with another circle with center at and radius at two points. One of the points of intersection (x, y) is:
Q125
MCQ[2 Marks]
An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of , is identical to the original. Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?
Q126
MCQ[1 Mark]
The sum of the following infinite series is:
Q127
MCQ[1 Mark]
A thin wire is used to construct all edges of a cube of 1 m side. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame?
Q128
MCQ[1 Mark]
The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?
Q129
MCQ[2 Marks]
Rohit enters a restaurant at 1 PM when clock hands coincide, and leaves when they coincide again. Time spent is
Q130
MCQ[2 Marks]
Color model Venn diagram relationship analysis. Which option displays consistent color codes?
Q131
MCQ[2 Marks]
A circle with center and radius intersects another circle with center and radius . One intersection point is
Q132
MCQ[2 Marks]
Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?
Q133
MCQ[1 Mark]
The sum of the following infinite series is:
Q134
MCQ[1 Mark]
A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?
Q135
MCQ[1 Mark]
The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?
Q136
MCQ[2 Marks]
Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?
Q137
MCQ[2 Marks]
A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K). Which one of the following options displays the color codes that are consistent with the color model?
Q138
MCQ[2 Marks]
A circle with center at and radius intersects with another circle with center at and radius at two points. One of the points of intersection is:
Q139
MCQ[2 Marks]
An object is said to have an -fold rotational symmetry if the object, rotated by an angle of is identical to the original. Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?
Q140
MCQ[1 Mark]
The average marks obtained by a class in an examination were calculated as 30.8. However, while checking the marks entered, the teacher found that the marks of one student were entered incorrectly as 24 instead of 42. After correcting the marks, the average becomes 31.4. How many students does the class have?
Q141
MCQ[1 Mark]
Consider the relationships among P, Q, R, S, and T: P is the brother of Q. S is the daughter of Q. T is the sister of S. R is the mother of Q. The following statements are made based on the relationships given above. (1) R is the grandmother of S. (2) P is the uncle of S and T. (3) R has only one son. (4) Q has only one daughter. Which one of the following options is correct?
Q142
MCQ[1 Mark]
According to the map shown in the figure, which one of the following statements is correct?
Q143
MCQ[2 Marks]
In the diagram, the lines QR and ST are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point P and line QR. What is the ratio of the area of the triangle PST to the area of the trapezium SQRT?
Q144
MCQ[2 Marks]
A fair six-faced dice, with the faces labelled '1', '2', '3', '4', '5', and '6', is rolled thrice. What is the probability of rolling '6' exactly once?
Q145
MCQ[2 Marks]
A square paper, shown in figure (I), is folded along dotted lines and cut as shown in figure (IV). Which pattern will be obtained when unfolded?
Q146
MCQ[2 Marks]
A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to purchase 3 scoops of ice-cream, in how many ways can one make that purchase?
Q147
MCQ[1 Mark]
The 12 musical notes are given as C, , D, , E, F, , G, , A, and B. Frequency of each note is times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes and C is:
Q148
MCQ[1 Mark]
The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration n' is:
Note: The figures shown are representative.
Q149
MCQ[1 Mark]
Which one of the following plots represents , where x is a non-zero real number?
Note: The figures shown are representative.
Q150
MCQ[2 Marks]
A stick of length one meter is broken at two locations at distances of and from the origin (0), as shown in the figure. Note that . Which one of the following is NOT a necessary condition for forming a triangle using the three pieces?
Note: All lengths are in meter. The figure shown is representative.
Q151
MCQ[2 Marks]
Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the round, student behind P leaves the game. After round, student behind Q leaves the game. After round, student behind V leaves the game. After round, student behind U leaves the game. Who all are left in the game after the round?
Note: The figure shown is representative.
Q152
MCQ[2 Marks]
An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is 20% of the consulting fee, if the fee is up to 5,00,000. For higher fees, the overhead is 1,00,000 plus 10% of the amount by which the fee exceeds 5,00,000. The government charges a Goods and Services Tax of 18% on the total amount (the consulting fee plus the overhead). An employee of the organization charges this entire amount, i.e., the consulting fee, overhead, and tax, to the client. If the client cannot pay more than ₹10,00,000, what is the maximum consulting fee that the employee can charge?
Q153
MCQ[1 Mark]
The relationship between variables x and y is given by x + py + q = 0 and shown in the representative figure. Find p and q.
Q154
MCQ[1 Mark]
Match the items in Column-I (such as Animals, Zebra, Giraffe) with the appropriate Venn diagram representations in Column-II.
Q155
MCQ[1 Mark]
What is the value of ((3^81) / (27^4))^(1/3)?
Q156
MCQ[2 Marks]
In the given circular coded figure where EF = 30 and HJ = 80, find the appropriate values for entries (i) and (ii).
Q157
MCQ[2 Marks]
For unit diameter spheres at integer coordinates (l, m, n), let x be distance to nearest sphere and y to next nearest. Find y/x.
Q158
MCQ[2 Marks]
In triangle PQR with PT:TR = 3:2 and ST parallel to QR, semicircles on PS and PQ form shaded area PQS. Which statement is true?
Q159
MCQ[1 Mark]
If for all real values of x, which one of the following statements is true?
Q160
MCQ[1 Mark]
The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?
Q161
MCQ[1 Mark]
Let and denote two arbitrary prime numbers. Which one of the following statements is correct for all values of and ?
Q162
MCQ[2 Marks]
If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?
Q163
MCQ[2 Marks]
In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square. What is the area (in ) of the rectangle PLMN?
Q164
MCQ[2 Marks]
The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?
Q165
MCQ[1 Mark]
Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of and car Q travels East with a speed of . Car P travels continuously but car Q stops for some time after travelling for one hour. If both the cars are at the same distance from X at 11:30 AM, for how long (in minutes) did car Q stop?
Q166
MCQ[1 Mark]
The ceiling function of a real number x, denoted by , is defined as the smallest integer that is greater than or equal to x. Similarly, the floor function, denoted by , is defined as the largest integer that is smaller than or equal to x. Which one of the following statements is NOT correct for all possible values of x?
Q167
MCQ[1 Mark]
P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches and lost 5% of the matches. If they play 3 more matches, what is the probability of P winning exactly 2 of these 3 matches?
Q168
MCQ[2 Marks]
If HIDE and CAGE are coded as 19-23-7-11 and 5-2-17-11 respectively, then what is the code for HIGH?
Q169
MCQ[2 Marks]
The given figure is reflected about the horizontal dashed line and then rotated clockwise by about an axis perpendicular to the plane of the figure. Which one of the following options correctly shows the resultant figure?\nNote: The figures shown are representative.
Q170
MCQ[2 Marks]
Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?
Q171
MCQ[2 Marks]
A final year student appears for placement interview in two companies, S and T. Based on her interview performance, she estimates the probability of receiving job offers from companies S and T to be 0.8 and 0.6, respectively. Let be the probability that she receives job offers from both the companies. Select the most appropriate option.
Q172
MCQ[1 Mark]
An electricity utility company charges ₹ 7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?
Q173
MCQ[1 Mark]
In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively?
Q174
MCQ[1 Mark]
A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, conditions given... Which one of the following Pie charts correctly represents the balls in the bag?
Q175
MCQ[2 Marks]
For the clock shown in the figure, if , and , then which one among the given options is most appropriate for ?
Q176
MCQ[2 Marks]
Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions: , , . If integers 1 through 5 are used to construct such a number, the value of P is:
Q177
MCQ[2 Marks]
A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at ₹ 192 per kg. The cost of the variety P is ₹ 800 for 5 kg. The cost of the variety Q is ₹ 800 for 4 kg. If the person gets 8% profit, what is the P:Q ratio (by weight)?
Q178
MCQ[2 Marks]
Three villages P, Q, and R are located in such a way that the distance km, km, and km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?
Q179
MCQ[1 Mark]
If for all real values of , which one of the following statements is true?
(A)
(B)
(C)
(D)
Q180
MCQ[1 Mark]
The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?
Q181
MCQ[1 Mark]
Let and denote two arbitrary prime numbers. Which one of the following statements is correct for all values of and ?
(A) is not a prime number.
(B) is not a prime number.
(C) is a prime number.
(D) is a prime number.
Q182
MCQ[2 Marks]
If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?
(A) CEADP
(B) IDBFC
(C) JGIBC
(D) IBCEC
Q183
MCQ[2 Marks]
In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square. What is the area (in cm) of the rectangle PLMN?
(A)
(B) 2
(C) 8
(D) 4
Q184
MCQ[2 Marks]
The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?
(A) Bridges on P, Q, and T
(B) Bridges on P, Q, S, and T
(C) Bridges on Q, R, T, and V
(D) Bridges on P, Q, S, U, and V
Q185
MCQ[1 Mark]
If for all real values of x, which one of the following statements is true?
Q186
MCQ[1 Mark]
The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?\nNote: The figures shown are representative.
Q187
MCQ[1 Mark]
Let and denote two arbitrary prime numbers. Which one of the following statements is correct for all values of and ?
Q188
MCQ[2 Marks]
If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?
Q189
MCQ[2 Marks]
Which one of the following options is correct for the given data in the table?\nIteration (i): 0, 1, 2, 3\nInput (I): 20, -4, 10, 15\nOutput (X): 20, 16, 26, 41\nOutput (Y): 20, -80, -800, -12000
Q190
MCQ[2 Marks]
In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square.\nWhat is the area (in ) of the rectangle PLMN?\nNote: The figure shown is representative.
Q191
MCQ[2 Marks]
The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?\nNote: The figure shown is representative.
Q192
MCQ[1 Mark]
Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of and car Q travels East with a speed of . Car P travels continuously but car Q stops for some time after travelling for one hour. If both the cars are at the same distance from X at 11:30 AM, for how long (in minutes) did car Q stop?
Q193
MCQ[1 Mark]
The ceiling function of a real number , denoted by , is defined as the smallest integer that is greater than or equal to . Similarly, the floor function, denoted by , is defined as the largest integer that is smaller than or equal to . Which one of the following options is NOT correct for all possible values of ?
Q194
MCQ[1 Mark]
P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches and lost 5% of the matches. If they play 3 more matches, what is the probability of P winning exactly 2 of these 3 matches?
Q195
MCQ[2 Marks]
If HIDE and CAGE are coded as 19-23-7-11 and 5-2-17-11 respectively, then what is the code for HIGH?
Q196
MCQ[2 Marks]
The given figure is reflected about the horizontal dashed line and then rotated clockwise by about an axis perpendicular to the plane of the figure. Which one of the following options correctly shows the resultant figure?
Q197
MCQ[2 Marks]
Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?
Q198
MCQ[2 Marks]
A final year student appears for placement interview in two companies, S and T. Based on her interview performance, she estimates the probability of receiving job offers from companies S and T to be 0.8 and 0.6, respectively. Let be the probability that she receives job offers from both the companies. Select the most appropriate option.
Q199
MCQ[1 Mark]
In a locality, the houses are numbered in the following way:
The house-numbers on one side of a road are consecutive odd integers starting from , while the house-numbers on the other side of the road are consecutive even numbers starting from . The total number of houses is the same on both sides of the road.
If the difference of the sum of the house-numbers between the two sides of the road is , then the number of houses on each side of the road is
Q200
MCQ[1 Mark]
For positive integers and , with , . Then,
Q201
MCQ[1 Mark]
Which one of the given options is a possible value of in the following sequence?
Q202
MCQ[1 Mark]
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time hours to hours?
Q203
MCQ[2 Marks]
Three distinct sets of indistinguishable twins are to be seated at a circular table that has identical chairs. Unique seating arrangements are defined by the relative positions of the people.
How many unique seating arrangements are possible such that each person is sitting next to their twin?
Q204
MCQ[2 Marks]
In the array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule.
**Rule:** The number in a cell represents the count of crosses around its immediate neighboring cells (left, right, top, bottom, diagonals).
As per this rule, the maximum number of crosses possible in the empty column is
Q205
MCQ[2 Marks]
During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be , the ratio of the Earth-Sun and Earth-Moon distances is closest to
Q206
MCQ[1 Mark]
If two distinct non-zero real variables 𝑥 and 𝑦 are such that (𝑥+ 𝑦) is proportional to (𝑥−𝑦) then the value of 𝑥 𝑦
Q207
MCQ[1 Mark]
The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is
Q208
MCQ[1 Mark]
For positive non-zero real variables 𝑝 and 𝑞, if log (𝑝2 + 𝑞2) = log 𝑝+ log 𝑞+ 2 log 3 , then, the value of 𝑝4+𝑞4 𝑝2𝑞2 is
Q209
MCQ[2 Marks]
A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
Q210
MCQ[2 Marks]
A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Q211
MCQ[1 Mark]
If two distinct non-zero real variables and are such that is proportional to then the value of
Q212
MCQ[1 Mark]
Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Q213
MCQ[1 Mark]
The number of coins of ₹1, 25 paise, and 10 paise denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in 25 paise coins is
Q214
MCQ[1 Mark]
For positive non-zero real variables and , if , then, the value of is
Q215
MCQ[2 Marks]
A rectangular paper sheet of dimensions is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken.
Then, the ratio of the volume of jubilant cylindrical tube to the volume of the cube is
Q216
MCQ[2 Marks]
A rectangular paper of is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Q217
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is
Q218
MCQ[1 Mark]
If two variables x and y are such that is proportional to , then
Q219
MCQ[1 Mark]
Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Q220
MCQ[1 Mark]
The number of coins of ₹1, ₹2, and ₹5 denominations that a person has are in the ratio 5:3:13. Of the total money in coins, the percentage of money in ₹5 coins is
Q221
MCQ[1 Mark]
For positive non-zero real variables p and q, if
then, the value of is
Q222
MCQ[2 Marks]
A rectangular paper sheet of dimensions is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
Q223
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
Saturated fat: 20%, Trans fat: 5%, Carbohydrates: 35%, Unsaturated fat: 20%, Proteins: 20%.
Energy densities (kcal/g): Fats = 9.
The total fat (all three types), in grams, this person consumes is
Q224
MCQ[2 Marks]
A rectangular paper of is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Q225
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is
Q226
MCQ[1 Mark]
In a locality, houses are numbered with consecutive odd integers starting from 301 on one side and consecutive even integers starting from 302 on the other. If the difference of the sum of house-numbers between the two sides is 27, the number of houses on each side is
Q227
MCQ[1 Mark]
For positive integers and , with , . Then,
Q228
MCQ[1 Mark]
Which one of the given options is a possible value of in the following sequence? 3, 7, 15, , 63, 127, 255
Q229
MCQ[1 Mark]
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
Q230
MCQ[2 Marks]
Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique arrangements such that each person sits next to their twin:
Q231
MCQ[2 Marks]
Using the provided power generation chart and capacity factor formula, which technology has the highest Capacity Factor?
Q232
MCQ[2 Marks]
In the array shown, each cell represents the count of neighboring crosses. The maximum number of crosses possible in the empty column is
Q233
MCQ[2 Marks]
During half-moon phase, Earth-Moon-Sun form a right triangle. If Moon-Earth-Sun angle is , the ratio of Earth-Sun to Earth-Moon distances is closest to
Q234
MCQ[1 Mark]
In a locality, the houses are numbered with consecutive odd/even integers. If the difference of the sum of house-numbers between the two sides is 27, the number of houses on each side is
Q235
MCQ[1 Mark]
For , and , . If and , then the value of is
Q236
MCQ[1 Mark]
Which one of the given options is a possible value of in the sequence: 3, 7, 15, , 63, 127, 255?
Q237
MCQ[1 Mark]
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
Q238
MCQ[2 Marks]
Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs such that each person sits next to their twin. Unique arrangements = ?
Q239
MCQ[2 Marks]
In the 4x4 array shown, maximum number of crosses possible in the empty column is
Q240
MCQ[2 Marks]
During a half-moon phase, Earth-Moon-Sun form a right triangle with angle 89.85°. The ratio of Earth-Sun and Earth-Moon distances is closest to
Q241
MCQ[1 Mark]
If two distinct non-zero real variables x and y are such that (x+y) is proportional to (x-y) then the value of y/x is a constant.
Q242
MCQ[1 Mark]
Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13. The median of the sample is
Q243
MCQ[1 Mark]
The number of coins of ₹1, 25 paise, and 10 paise denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in 25 paise coins is
Q244
MCQ[1 Mark]
For positive non-zero real variables p and q, if log(p^2 + q^2) = log p + log q + 2 log 3, then, the value of (p^4 + q^4)/(p^2 q^2) is
Q245
MCQ[2 Marks]
A rectangular paper sheet of dimensions 54 cm x 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
Q246
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. The total fat (all three types), in grams, this person consumes is
Q247
MCQ[2 Marks]
A rectangular paper of 20 cm x 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Q248
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is
Q249
MCQ[1 Mark]
P, Q, R, S, and T have launched a new startup. Two of them are siblings. The office of the startup has just three rooms. All of them agree that the siblings should not share the same room. Given the valid room allocations, which one of the given options is the siblings?
Q250
MCQ[1 Mark]
Five years ago, the ratio of Aman's age to his father's age was 1:4, and five years from now, the ratio will be 2:5. What was his father's age when Aman was born?
Q251
MCQ[1 Mark]
For a real number , . The value of is
Q252
MCQ[1 Mark]
The greatest prime factor of is
Q253
MCQ[2 Marks]
Four identical cylindrical chalk-sticks, each of radius cm and length cm, are bound tightly together using a duct tape as shown in the following figure. The width of the duct tape is equal to the length of the chalk-stick. The area (in ) of the duct tape required to wrap the bundle of chalk-sticks once, is
Q254
MCQ[2 Marks]
An object appears as a specific image after first reflecting in a mirror and then reflecting on water. The original object is
Q255
MCQ[2 Marks]
Two identical sheets A and B, of dimensions , can be folded into half using two distinct operations, FO1 or FO2. In FO1, the axis of folding remains parallel to the initial long edge, and in FO2, the axis of folding remains parallel to the initial short edge. If sheet A is folded twice using FO1, and sheet B is folded twice using FO2, the ratio of the perimeters of the final shapes of A and B is
Q256
MCQ[1 Mark]
P wants a study table near the window for bird watching, and Q wants his bed close to the ceiling fan. Which room arrangement suits them best?
Q257
MCQ[1 Mark]
Express the decimal number 108 in the octal number system.
Q258
MCQ[1 Mark]
A customer pays 3,186.00 per shirt including 18% tax. The shopkeeper sells at 20% profit. What was the cost price from the producer?
Q259
MCQ[1 Mark]
If x:y = (a+1):(a-1) for a > 1, find the ratio (x^2 - y^2):(x^2 + y^2).
Q260
MCQ[2 Marks]
Given geometric figure with rhombus AFCD and dimensions, find the length of BF in cm.
Q261
MCQ[2 Marks]
If rack A translates towards the right in the pinion-rack gear assembly, which statement is correct?
Q262
MCQ[2 Marks]
In triangle ABC with base AB = 200 m and base angles 87.8°, find the distance of vertex C from the center of AB.
Q263
MCQ[1 Mark]
The 15 parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The minimum number of colors required is
Q264
MCQ[1 Mark]
How many 4-digit positive integers divisible by 3 can be formed using only the digits , such that no digit appears more than once in a number?
Q265
MCQ[1 Mark]
The sum of the following infinite series is
Q266
MCQ[2 Marks]
The probability of having only three children with two girls and one boy is
Q267
MCQ[2 Marks]
Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table.
- Person 1: A = ₹10,000, B = ₹20,000, C = ₹20,000
- Person 2: A = ₹20,000, B = ₹15,000, C = ₹15,000
At the end of one year, the total amount that Person 1 gets is ₹500 more than Person 2. The annual rate of return for the mutual funds B and C is 15% each. What is the annual rate of return for the mutual fund A?
Q268
MCQ[2 Marks]
Three different views of a dice are shown in the figure below.
The piece of paper that can be folded to make this dice is
Q269
MCQ[2 Marks]
Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?
Q270
MCQ[1 Mark]
A student was supposed to multiply a positive real number p with another positive real number q. Instead, the student divided p by q. If the percentage error in the student's answer is 80%, the value of q is
Q271
MCQ[1 Mark]
If the sum of the first 20 consecutive positive odd numbers is divided by , the result is
Q272
MCQ[1 Mark]
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is
Q273
MCQ[2 Marks]
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder... The ratio of the occupied space to the empty space of the container is
Q274
MCQ[2 Marks]
Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B. If viewed from direction Y, Figure A will appear as
Q275
MCQ[2 Marks]
Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is
Q276
MCQ[1 Mark]
Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}
Q277
MCQ[1 Mark]
In the following series, identify the number that needs to be changed to form the Fibonacci series.
1, 1, 2, 3, 6, 8, 13, 21, ...
Q278
MCQ[1 Mark]
The real variables , and the real constants satisfy
\nGiven that the denominators are non-zero, the value of is
Q279
MCQ[1 Mark]
Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw. If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?
Q280
MCQ[2 Marks]
Sets A, B, C ... [Note: Official Key marked this as MTA (Marks To All)]
Q281
MCQ[2 Marks]
A planar rectangular paper has two V-shaped pieces attached as shown below. This piece of paper is folded to make the following closed three-dimensional object. The number of folds required to form the above object is
Q282
MCQ[2 Marks]
Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is
[Note: Official Key marked this as MTA (Marks To All)]
Q283
MCQ[1 Mark]
Statements:
1. All heroes are winners.
2. All winners are lucky people.
Inferences:
I. All lucky people are heroes.
II. Some lucky people are heroes.
III. Some winners are heroes.
Which of the above inferences can be logically deduced from statements 1 and 2?
Q284
MCQ[1 Mark]
A student was supposed to multiply a positive real number with another positive real number . Instead, the student divided by . If the percentage error in the student's answer is 80%, the value of is
Q285
MCQ[1 Mark]
If the sum of the first 20 consecutive positive odd numbers is divided by , the result is
Q286
MCQ[1 Mark]
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is
Q287
MCQ[2 Marks]
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container... The ratio of the occupied space to the empty space of the container is
Q288
MCQ[2 Marks]
The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?
Q289
MCQ[2 Marks]
Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B. If viewed from direction Y, the planar image of the assembly (Figure A) will appear as
Q290
MCQ[2 Marks]
Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is
Q291
MCQ[1 Mark]
If two distinct non-zero real variables and are such that is proportional to then the value of or related ratio... [Note: options evaluate constant ratio properties]
Q292
MCQ[1 Mark]
Consider the following sample of numbers:
\nThe median of the sample is
(A) 13.5
(B) 14
(C) 11
(D) 18.7
Q293
MCQ[1 Mark]
The number of coins of ₹1, 25 paise, and 10 paise denominations that a person has are in the ratio . Of the total amount, the percentage of money in 25 paise coins is
(A)
(B)
(C)
(D)
Q294
MCQ[1 Mark]
For positive non-zero real variables and , if , then the value of is
(A) 79
(B) 81
(C) 9
(D) 83
Q295
MCQ[2 Marks]
A rectangular paper sheet of dimensions is taken. The two longer edges are joined to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
(A)
(B)
(C)
(D)
Q296
MCQ[2 Marks]
A rectangular paper of is folded 3 times along lines of symmetry perpendicular to the long edge. The perimeter of the final folded sheet (in cm) is
(A) 18
(B) 24
(C) 20
(D) 21
Q297
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is...
Q298
MCQ[1 Mark]
If two variables x and y are such that is proportional to , then
Q299
MCQ[1 Mark]
Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Q300
MCQ[1 Mark]
The number of coins of ₹1, ₹2, and ₹5 denominations that a person has are in the ratio 5:3:13. Total money in 25 coins is...
Q301
MCQ[1 Mark]
For positive non-zero real variables p and q, if
then, the value of is
Q302
MCQ[2 Marks]
A rectangular paper sheet of dimensions is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken.
Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
Q303
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
Saturated fat: 20%, Trans fat: 5%, Carbohydrates: 35%, Unsaturated fat: 20%, Proteins: 20%.
Energy density: Fat types = .
The total fat (all three types), in grams, this person consumes is
Q304
MCQ[2 Marks]
A rectangular paper of is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge.
The perimeter of the final folded sheet (in cm) is
Q305
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is...
Q306
MCQ[1 Mark]
A student was supposed to multiply a positive real number with another positive real number . Instead, the student divided by . If the percentage error in the student's answer is 80%, the value of is
Q307
MCQ[1 Mark]
If the sum of the first 20 consecutive positive odd numbers is divided by , the result is
Q308
MCQ[1 Mark]
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is
Q309
MCQ[2 Marks]
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder. The length of the container is equal to the length of the chalk-sticks. The ratio of the occupied space to the empty space of the container is
Q310
MCQ[2 Marks]
Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B. If viewed from direction Y, it will appear as
Q311
MCQ[2 Marks]
Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is
Q312
MCQ[1 Mark]
What is the smallest number with distinct digits whose digits add up to ?
Q313
MCQ[1 Mark]
In a class of students,
(i) there are students who neither like romantic movies nor comedy movies,
(ii) the number of students who like romantic movies is twice the number of students who like comedy movies, and
(iii) the number of students who like both romantic movies and comedy movies is .
How many students in the class like romantic movies?
Q314
MCQ[1 Mark]
How many rectangles are present in the given figure?
Q315
MCQ[2 Marks]
Which one of the following options represents the given graph?
Q316
MCQ[2 Marks]
Out of individuals in a town, unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid-positive individuals. The strategy is to:
(i) Collect saliva samples from all individuals and randomly group them into sets of .
(ii) Mix the samples within each set and test the mixed sample for covid.
(iii) If the test done in (ii) gives a negative result, then declare all the individuals to be covid negative.
(iv) If the test done in (ii) gives a positive result, then all the individuals are separately tested for covid.
Given this strategy, no more than ________ testing kits will be required to identify all the covid positive individuals irrespective of how they are grouped.
Q317
MCQ[2 Marks]
A rectangular sheet is folded times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions .
The total number of creases visible when the sheet is unfolded is ________.
Q318
MCQ[2 Marks]
To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
Q319
MCQ[2 Marks]
The coefficient of 𝑥4 in the polynomial (𝑥−1)3(𝑥−2)3 is equal to _______.
Q320
MCQ[1 Mark]
In the given figure, PQRS is a parallelogram with cm, cm and cm. What is the length of RS in cm?
Q321
MCQ[1 Mark]
A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry?
Q322
MCQ[2 Marks]
To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
Q323
MCQ[2 Marks]
The coefficient of in the polynomial is equal to
Q324
MCQ[2 Marks]
Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.
Q325
MCQ[1 Mark]
In the given figure, PQRS is a parallelogram with cm, cm and cm. What is the length of RS in cm?
Q326
MCQ[1 Mark]
A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry?
Q327
MCQ[2 Marks]
To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
Q328
MCQ[2 Marks]
The coefficient of in the polynomial is equal to
Q329
MCQ[2 Marks]
Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.
Q330
MCQ[1 Mark]
Eject : Insert :: Advance : ___ (By word meaning)
Q331
MCQ[1 Mark]
In the given figure, PQRSTV is a regular hexagon with each side of length 5 cm. A circle is drawn with its centre at V passing through P. What is the area (in ) of the shaded region?
Q332
MCQ[1 Mark]
Minimum number of boxes that must be colored black to achieve two lines of symmetry in the given grid structure.
Q333
MCQ[2 Marks]
Which option can be inferred about the mean, median, and mode for the given symmetric probability distribution P(x)?
Q334
MCQ[2 Marks]
Let , , and . Which inequality for logarithmic values is CORRECT?
Q335
MCQ[2 Marks]
A square of side 4 cm with a top semi-circle and two bottom circular arcs of radius 2 cm. The area of the shaded region is
Q336
MCQ[1 Mark]
In the given figure, PQRS is a parallelogram with cm, cm and cm. What is the length of RS in cm?
Q337
MCQ[1 Mark]
Based only on the provided information regarding June Huh, which one of the following statements can be logically inferred with certainty?
Q338
MCQ[1 Mark]
In the given figure with 16 unit squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry?
Q339
MCQ[2 Marks]
To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and cement are in the ratio 1:2. Total cost is 1000 rupees. What is the cost (in rupees) of cement used?
Q340
MCQ[2 Marks]
The coefficient of in the polynomial is equal to
Q341
MCQ[2 Marks]
Which one of the following shapes can be used to tile a flat plane without leaving any empty spaces?
Q342
MCQ[2 Marks]
Exhibition visitor arrival times uniform between 3 PM and 4 PM with specific exit rules. Probability that their visits overlapped is
Q343
MCQ[1 Mark]
A series of natural numbers F1, F2, F3, F4, F5, F6, F7, ... obeys F_(n+1) = F_n + F_(n-1) for all integers n >= 2. If F6 = 37 and F7 = 60, then what is F1?
Q344
MCQ[1 Mark]
Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?
Q345
MCQ[2 Marks]
Consider two functions of time (t), f(t) = 0.01 t^2 and g(t) = 4 t for 0 < t < \infty. Now consider the following two statements: (i) For some t > 0, g(t) > f(t). (ii) There exists a T, such that f(t) > g(t) for all t > T. Which one of the following options is TRUE?
Q346
MCQ[2 Marks]
f(x) and g(y) are functions of x and y, respectively, and f(x) = g(y) for all real values of x and y. Which one of the following options is necessarily TRUE for all x and y?
Q347
MCQ[2 Marks]
Which one of the options best describes the transformation of the 2-dimensional figure P to Q, and then to R, as shown?
Q348
MCQ[1 Mark]
What is the smallest number with distinct digits whose digits add up to 45?
Q349
MCQ[1 Mark]
In a class of 100 students,
(i) there are 30 students who neither like romantic movies nor comedy movies,
(ii) the number of students who like romantic movies is twice the number of students who like comedy movies, and
(iii) the number of students who like both romantic movies and comedy movies is 20.
How many students in the class like romantic movies?
Q350
MCQ[1 Mark]
How many rectangles are present in the given figure?
Q351
MCQ[2 Marks]
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures that have claws are ferocious.
Based only on the information provided above, which one of the following options can be logically inferred with certainty?
Q352
MCQ[2 Marks]
Which one of the following options represents the given graph?
Q353
MCQ[2 Marks]
Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid-positive individuals. Given this strategy, no more than _______ testing kits will be required to identify all the 100 covid positive individuals irrespective of how they are grouped.
Q354
MCQ[2 Marks]
A rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions .
The total number of creases visible when the sheet is unfolded is
Q355
MCQ[1 Mark]
What is the probability of rolling a '1' on the first roll and a '4' on the second roll of a fair six-sided die?
Q356
MCQ[1 Mark]
How many triangles are present in the given figure?
Q357
MCQ[2 Marks]
Based on registration rules and the fact that none from Human Sciences registered, which statements can be logically inferred?
Q358
MCQ[2 Marks]
Which of the following options represents the given graph?
Q359
MCQ[2 Marks]
What is the unit's place digit of the product 3^{999} * 7^{1000}?
Q360
MCQ[2 Marks]
A square of side 6 cm has two semicircles on its sides as boundaries. Find the area of the shaded region.
Q361
MCQ[1 Mark]
Given a fair six-faced dice where the faces are labelled '1', '2', '3', '4', '5', and '6', what is the probability of getting a '1' on the first roll of the dice and a '4' on the second roll?
Q362
MCQ[1 Mark]
A recent survey shows that of tobacco users were advised to stop consuming tobacco. The survey also shows that 3 out of 10 tobacco users attempted to stop using tobacco.
Based only on the information in the above passage, which one of the following options can be logically inferred with certainty?
Q363
MCQ[1 Mark]
How many triangles are present in the given figure?
Q364
MCQ[2 Marks]
Which one of the following options represents the given graph?
Q365
MCQ[2 Marks]
The digit in the unit's place of the product is
Q366
MCQ[2 Marks]
A square with sides of length is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as shown.
The area of the shaded region is _____ .
Q367
MCQ[1 Mark]
A 'frabjous' number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?
Q368
MCQ[1 Mark]
Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?
Q369
MCQ[1 Mark]
In the given diagram, ovals are marked at different heights (h) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?
Q370
MCQ[2 Marks]
Ankita has to climb 5 stairs starting at the ground... The value of is
Q371
MCQ[2 Marks]
Which one of the given figures P, Q, R and S represents the graph of the following function?
Q372
MCQ[2 Marks]
An opaque cylinder is suspended in the path of a parallel beam of light... Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?
Q373
MCQ[1 Mark]
The minute-hand and second-hand of a clock cross each other _____ times between 09:15:00 AM and 09:45:00 AM on a day.
Q374
MCQ[1 Mark]
The symbols , , , and are to be filled, one in each box, as shown below.\nThe rules for filling in the four symbols are as follows:
1) Every row and every column must contain each of the four symbols.
2) Every square delineated by bold lines must contain each of the four symbols.\nWhich symbol will occupy the box marked with '?' in the partially filled figure?
Q375
MCQ[2 Marks]
Consider the following inequalities
\nwhere and are positive integers.\nThe value of is
Q376
MCQ[2 Marks]
How many pairs of sets (S, T) are possible among the subsets of {1, 2, 3, 4, 5, 6} that satisfy the condition that S is a subset of T?
Q377
MCQ[2 Marks]
An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?
Q378
NAT[2 Marks]
The smallest perimeter that a rectangle with area of square units can have is ____ units. (Answer in integer)
Q379
MCQ[1 Mark]
In how many ways can cells in a grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown.
Q380
MCQ[1 Mark]
There are 4 red, 5 green, and 6 blue balls inside a box. If N number of balls are picked simultaneously, what is the smallest value of N that guarantees there will be at least two balls of the same colour?
Q381
MCQ[1 Mark]
Consider a circle with its centre at the origin (O), as shown. Two operations are allowed on the circle. Operation 1: Scale independently along the x and y axes. Operation 2: Rotation in any direction about the origin. Which figure among the options can be achieved through a combination of these two operations on the given circle?
Q382
MCQ[2 Marks]
Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many seating arrangements are possible such that every husband sits next to his wife?
Q383
MCQ[2 Marks]
If x satisfies the equation , then x is equal to
Q384
MCQ[2 Marks]
Consider a spherical globe rotating about an axis passing through its poles. There are three points P, Q, and R situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere. Let P, Q, and R move with speeds , , and , respectively. Which one of the following options is CORRECT?
Q385
MCQ[1 Mark]
In the given figure, PQRS is a parallelogram with , and . What is the length of in cm?
Q386
MCQ[1 Mark]
A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image... minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry?
(A) 3
(B) 4
(C) 5
(D) 6
Q387
MCQ[2 Marks]
To construct a wall, sand and cement are mixed in the ratio of . The cost of sand and that of cement are in the ratio of . If the total cost of sand and cement to construct the wall is rupees, what is the cost (in rupees) of cement used?
(A) 400
(B) 600
(C) 800
(D) 200
Q388
MCQ[2 Marks]
The coefficient of in the polynomial is equal to
(A) 33
(B) -3
(C) 30
(D) 21
Q389
MCQ[2 Marks]
Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.
(A) circle
(B) regular octagon
(C) regular pentagon
(D) rhombus
Q390
MCQ[1 Mark]
In the given figure, PQRS is a parallelogram with cm, cm and cm. What is the length of RS in cm?
(The diagram is representative.)
Q391
MCQ[1 Mark]
A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line.\nThe given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry?
Q392
MCQ[2 Marks]
To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
Q393
MCQ[2 Marks]
The coefficient of in the polynomial is equal to
Q394
MCQ[2 Marks]
Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.
Q395
MCQ[1 Mark]
A 'frabjous' number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?
Q396
MCQ[1 Mark]
Which one among the following statements must be TRUE about the median of a set of scores (such as candidates appearing for GATE)?
Q397
MCQ[1 Mark]
In the given diagram, ovals are marked at different heights () of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?
Q398
MCQ[2 Marks]
Ankita has to climb 5 stairs starting at the ground by moving either 1 or 2 stairs up at a stage without moving down. Let denote the number of possible ways to reach the stair (). The value of is
Q399
MCQ[2 Marks]
Which one of the given figures P, Q, R and S represents the graph of the function ?
Q400
MCQ[2 Marks]
An opaque cylinder is suspended in the path of a parallel beam of light to cast a shadow. Which of the shadow shapes P, Q, R, and S is NOT possible?
Q401
MCQ[1 Mark]
A function is defined in the interval on the -axis as
Which one of the following is the area under the curve for the interval on the -axis?
Q402
MCQ[1 Mark]
Let be a root of the equation .
Then the value of the expression is
Q403
MCQ[1 Mark]
A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters: **A** and **D**.
From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.
Q404
MCQ[2 Marks]
In a recently conducted national entrance test, boys constituted of those who appeared for the test. Girls constituted the remaining candidates and they accounted for of the qualified candidates.
Which one of the following is the correct logical inference based on the information provided in the above passage?
Q405
MCQ[2 Marks]
A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with another orange ball.
First ball is drawn. What is the probability of getting an orange ball in the next draw?
Q406
MCQ[2 Marks]
The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T and U, but not necessarily in the same order. Consider the following statements:
* The line joining P and R is parallel to the line joining Q and S.
* P is placed on the side opposite to the corner T.
* S and U cannot be placed on the same side.
Which one of the following statements is correct based on the above information?
Q407
MCQ[2 Marks]
A plot of land must be divided between four families. They want their individual plots to be similar in shape, not necessarily equal in area. The land has equally spaced poles, marked as dots in the below figure. Two ropes, R1 and R2, are already present and cannot be moved.
What is the least number of additional straight ropes needed to create the desired plots? A single rope can pass through three poles that are aligned in a straight line.
Q408
MCQ[1 Mark]
Which one of the following is a representation (not to scale and in bold) of all values of satisfying the inequality on the real number line?
Q409
MCQ[1 Mark]
If , what is the area bounded by for the interval on the x-axis?
Q410
MCQ[1 Mark]
A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct based on the above information?
Q411
MCQ[1 Mark]
Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other?
Q412
MCQ[2 Marks]
For the past days, the average daily production at a company was 100 units per day. If today's production of 180 units changes the average to 110 units per day, what is the value of ?
Q413
MCQ[2 Marks]
Consider the following functions for non-zero positive integers, and . ; ( terms). Which one of the following options is correct?
Q414
MCQ[2 Marks]
Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour. If the person starts from R at 7 AM and is required to visit S and return to R, what is the minimum time required?
Q415
MCQ[2 Marks]
Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M (4 circles) and case N (9 circles), are considered. What is the ratio of the areas of unshaded regions of case M to that of case N?
Q416
MCQ[1 Mark]
A sphere of radius cm is packed in a box of cubical shape. What should be the minimum volume (in ) of the box that can enclose the sphere?
Q417
MCQ[1 Mark]
Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute. P, Q and R operate at a constant rate. If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously, what is the capacity of the storage tank (in litres)?
Q418
MCQ[1 Mark]
Six persons P, Q, R, S, T and U are sitting around a circular table facing the center not necessarily in the same order. Consider the following statements:
• P sits next to S and T.
• Q sits diametrically opposite to P.
• The shortest distance between S and R is equal to the shortest distance between T and U.
Based on the above statements, Q is a neighbor of
Q419
MCQ[2 Marks]
A game consists of spinning an arrow around a stationary disk... Two such disks are used in a game where their arrows are independently spun. What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?
Q420
MCQ[2 Marks]
Consider the following inequalities:
(i)
(ii)
Which one of the following expressions below satisfies the above two inequalities?
Q421
MCQ[2 Marks]
Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
Q422
MCQ[1 Mark]
Two straight lines pass through the origin . One of them passes through the point and the other passes through the point . What is the area enclosed between the straight lines in the interval [0, 1] on the x-axis?
Q423
MCQ[1 Mark]
If , , and u is 50% more than s, what is the ratio p:u?
Q424
MCQ[1 Mark]
In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of the squares, PXWR, RUVZ and SPQT is
Q425
MCQ[2 Marks]
P invested 5000 per month for 6 months of a year and Q invested x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year. If at the end of that investment year, Q receives of the total profit, what is the value of x (in ₹)?
Q426
MCQ[2 Marks]
The frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one of the following is CORRECT?
Q427
MCQ[2 Marks]
In the square grid shown on the left, a person standing at P2 position is required to move to P5 position. The only movement allowed for a step involves, "two moves along one direction followed by one move in a perpendicular direction"... Without occupying any of the shaded squares at the end of each step, the minimum number of steps required to go from P2 to P5 is
Q428
MCQ[2 Marks]
Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visible in the above view may not be blank. Which one of the following represents a possible unfolding of the cube?
Q429
MCQ[1 Mark]
Two straight lines pass through the origin . One of them passes through and the other through . What is the area enclosed between the straight lines in the interval on the x-axis?
Q430
MCQ[1 Mark]
If , , and is 50% more than , what is the ratio ?
Q431
MCQ[1 Mark]
Relation among the areas of the squares PXWR, RUVZ and SPQT based on the tangential properties of the circle with center R.
Q432
MCQ[2 Marks]
P invested 5000 per month for 6 months and Q invested per month for 8 months. If Q receives of total profit, what is the value of ?
Q433
MCQ[2 Marks]
From the frequency distribution chart of student marks, which one of the following is CORRECT?
Q434
MCQ[2 Marks]
Grid movement path puzzle from P2 to P5 following knight-like step constraints without occupying shaded squares. Minimum steps required is
Q435
MCQ[1 Mark]
A sphere of radius cm is packed in a box of cubical shape. What should be the minimum volume (in ) of the box that can enclose the sphere?
Q436
MCQ[1 Mark]
Pipes P and Q fill a tank in 10 and 6 minutes. Pipe R empties it at 34 L/min. Operating simultaneously, it takes 1 hour to empty a full tank. Capacity of tank is litres.
Q437
MCQ[1 Mark]
Six persons P, Q, R, S, T and U are sitting around a circular table facing center based on given positional conditions. Q is a neighbor of
Q438
MCQ[1 Mark]
Minimum number of doors to be opened to go from point P to Q in the given building layout is
Q439
MCQ[2 Marks]
Two independent 8-sector disks are spun. What is the probability that the sum of the numbers is equal to 8?
Q440
MCQ[2 Marks]
Consider inequalities (i) and (ii) . Which expression satisfies both?
Q441
MCQ[2 Marks]
Which set of pieces can be assembled to form a square with a single round hole near the center?
Q442
MCQ[1 Mark]
A function y(x) is defined in the interval [0, 1] on the x-axis... Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?
Q443
MCQ[1 Mark]
Let r be a root of the equation x^2 + 2x + 6 = 0. Then the value of the expression (r+2)(r+3)(r+4)(r+5) is
Q444
MCQ[1 Mark]
From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome?
Q445
MCQ[2 Marks]
Which one of the following is the correct logical inference based on the information provided in the above passage?
Q446
MCQ[2 Marks]
First ball is drawn. What is the probability of getting an orange ball in the next draw?
Q447
MCQ[2 Marks]
Which one of the following statements is correct based on the above information?
Q448
MCQ[2 Marks]
What is the least number of additional straight ropes needed to create the desired plots? A single rope can pass through three poles that are aligned in a straight line.
Q449
MCQ[1 Mark]
A sum of money is to be distributed among P, Q, R, and S in the proportion 5:2:4:3, respectively. If R gets 1000 more than S, what is the share of Q (in ₹)?
Q450
MCQ[1 Mark]
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, cm, cm, cm and cm. What is the shortest distance between PQ and SR (in cm)?
Q451
MCQ[1 Mark]
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a 'hole in the interior' that can be formed within the grid using the unit squares as building blocks?
Q452
MCQ[1 Mark]
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery... which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.
Q453
MCQ[2 Marks]
Consider the following inequalities:
(i)
(ii)
Which one of the following expressions below satisfies the above two inequalities?
Q454
MCQ[2 Marks]
Four points , , , and represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral?
Q455
MCQ[2 Marks]
In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below. Based on the information given above, the person who has copied in the exam is
Q456
MCQ[2 Marks]
Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively... Which one of the following statements is correct as per the information provided above?
Q457
MCQ[1 Mark]
In a 500 m race, P and Q have speeds in the ratio 3:4. Q starts when P has covered 140 m. What is the distance between P and Q when P wins?
Q458
MCQ[1 Mark]
Bells P, Q, R ring every 20, 30, and 50 minutes. If rung together at 12:00 PM, when will they ring together next?
Q459
MCQ[1 Mark]
Given 'Some bottles are cups' and 'All cups are knives', which conclusions (I. Some bottles are knives, II. Some knives are cups, etc.) are valid?
Q460
MCQ[1 Mark]
A disc with identical front/rear patterns is flipped w.r.t. axes 1-1, 2-2, or 3-3. What is the probability that it DOES NOT retain the same views?
Q461
MCQ[2 Marks]
Two dice with faces Q, R, S, T, U, V are thrown. What is the probability that both outcomes are chosen only from {Q, U, V}?
Q462
MCQ[2 Marks]
Store S is 10% cheaper than M but charges 150 delivery (M is free). Buying from S saves 100. What is the price at store S?
Q463
MCQ[2 Marks]
Letters P, Q, R, S, T, U are placed on the vertices of a regular hexagon with specific geometric relations. Which option is correct?
Q464
MCQ[2 Marks]
An ant at grid corner P moves towards the top-right such that distance strictly decreases. Which figure shows a valid trajectory part?
Q465
MCQ[1 Mark]
A sum of money is to be distributed among P, Q, R, and S in the proportion 5:2:4:3, respectively.
If R gets 1000 more than S, what is the share of Q (in ₹)?
Q466
MCQ[1 Mark]
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR.
Further, it is given that, cm, cm, cm and cm.
What is the shortest distance between PQ and SR (in cm)?
Q467
MCQ[1 Mark]
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.
What is the maximum number of squares without a "hole in the interior" that can be formed within the grid using the unit squares as building blocks?
Q468
MCQ[1 Mark]
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region) is within the line of sight.
Which one of the following correctly represents the set of ALL possible locations among P, Q, R and S, where the security guard can be posted?
Q469
MCQ[2 Marks]
Consider the following inequalities:
(i)
(ii)
Which one of the following expressions below satisfies the above two inequalities?
Q470
MCQ[2 Marks]
Four points , , , and represent the vertices of a quadrilateral.
What is the area enclosed by the quadrilateral?
Q471
MCQ[2 Marks]
In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below:
- P: R has copied.
- Q: S has copied.
- R: P did not copy.
- S: Only one of us is telling the truth.
- T: R is telling the truth.
Given that S never lies, the person who has copied in the exam is
Q472
MCQ[2 Marks]
Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively.
Let X, Y and Z represent the following operations:
- X: rotation of the square by 180 degree with respect to the S-Q axis.
- Y: rotation of the square by 180 degree with respect to the P-R axis.
- Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T.
Consider the following three distinct sequences of operation: (1) XYZZ, (2) XY, (3) ZZZZ.
Which one of the following statements is correct?
Q473
MCQ[1 Mark]
A sphere of radius r cm is packed in a box of cubical shape. What should be the minimum volume (in ) of the box that can enclose the sphere?
Q474
MCQ[1 Mark]
Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute... what is the capacity of the storage tank (in litres)?
Q475
MCQ[1 Mark]
Six persons P, Q, R, S, T and U are sitting around a circular table facing the center... Based on the above statements, Q is a neighbor of
Q476
MCQ[1 Mark]
A building has several rooms and doors as shown in the top view of the building given below... What is the minimum number of doors that need to be opened in order to go from the point P to the point Q?
Q477
MCQ[2 Marks]
A game consists of spinning an arrow around a stationary disk... What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?
Q478
MCQ[2 Marks]
Consider the following inequalities. , . Which one of the following expressions below satisfies the above two inequalities?
Q479
MCQ[2 Marks]
Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
Q480
MCQ[1 Mark]
The average of the monthly salaries of M, N and S is ₹ 4000. The average of the
monthly salaries of N, S and P is ₹ 5000. The monthly salary of P is ₹ 6000.
What is the monthly salary of M as a percentage of the monthly salary of P?
(A)
50%
(B)
75%
(C)
100%
(D)
125%
Q481
MCQ[1 Mark]
A person travelled 80 km in 6 hours. If the person travelled the first part with a
uniform speed of 10 kmph and the remaining part with a uniform speed of 18
kmph.
What percentage of the total distance is travelled at a uniform speed
of 10 kmph?
(A)
28.25
(B)
37.25
(C)
43.75
(D)
50.00
Q482
MCQ[2 Marks]
A rhombus is formed by joining the midpoints of the sides of a unit square.
What is the diameter of the largest circle that can be inscribed within the
rhombus?
(A)
1
√2
(B)
1
2√2
(C)
√2
(D)
2√2
Q483
MCQ[2 Marks]
An equilateral triangle, a square and a circle have equal areas.
What is the ratio of the perimeters of the equilateral triangle to square to circle?
(A)
3√3 ∶2 ∶√𝜋
(B)
ට൫3 √3൯: 2 ∶√𝜋
(C)
ට൫3 √3൯: 4 ∶2√𝜋
(D)
ට൫3 √3൯: 2 ∶2√𝜋
Q484
MCQ[2 Marks]
In a 12-hour clock that runs correctly, how many times do the second, minute,
and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a day
to 3 AM the next day?
(A)
11
(B)
12
(C)
144
(D)
2
Q485
MCQ[1 Mark]
A sum of money is to be distributed among P, Q, R, and S in the proportion 5:2:4:3, respectively. If R gets 1000 more than S, what is the share of Q (in ₹)?
Q486
MCQ[1 Mark]
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, cm, cm, cm and cm. What is the shortest distance between PQ and SR (in cm)?
Q487
MCQ[1 Mark]
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a 'hole in the interior' that can be formed within the grid using the unit squares as building blocks?
Q488
MCQ[1 Mark]
An art gallery engages a security guard to ensure that the items displayed are protected... Which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.
Q489
MCQ[2 Marks]
Consider the following inequalities.
(i)
(ii)
Which one of the following expressions below satisfies the above two inequalities?
Q490
MCQ[2 Marks]
Four points , , , and represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral?
Q491
MCQ[2 Marks]
In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below. Statement of P: R has copied in the exam. Statement of Q: S has copied in the exam. Statement of R: P did not copy in the exam. Statement of S: Only one of us is telling the truth. Statement of T: R is telling the truth. The investigating team had authentic information that S never lies. Based on the information given above, the person who has copied in the exam is
Q492
MCQ[2 Marks]
Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively... Which one of the following statements is correct as per the information provided above?
Q493
MCQ[1 Mark]
A sum of money is to be distributed among P, Q, R, and S in the proportion , respectively. If R gets 1000 more than S, what is the share of Q (in ?)?
(A) 500
(B) 1000
(C) 1500
(D) 2000
Q494
MCQ[1 Mark]
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, , , and . What is the shortest distance between PQ and SR (in cm)?
(A) 1.80
(B) 2.40
(C) 4.20
(D) 5.76
Q495
MCQ[1 Mark]
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a "hole in the interior" that can be formed within the grid using the unit squares as building blocks?
(A) 15
(B) 20
(C) 21
(D) 26
Q496
MCQ[1 Mark]
An art gallery engages a security guard... boundary walls are opaque... Which one of the following correctly represents the set of ALL possible locations among P, Q, R and S where the security guard can be posted to watch over the entire inner space?
(A) P and Q
(B) Q
(C) Q and S
(D) R and S
Q497
MCQ[2 Marks]
Consider the following inequalities.
(i)
(ii) \nWhich one of the following expressions below satisfies the above two inequalities?
(A)
(B)
(C)
(D)
Q498
MCQ[2 Marks]
Four points , , , and represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral?
(A) 4
(B)
(C) 8
(D)
Q499
MCQ[2 Marks]
Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively. Operations X, Y, Z defined... sequences (1) XYZZ, (2) XY, (3) ZZZZ. Which statement is correct?
(A) The sequence of operations (1) and (2) are equivalent
(B) The sequence of operations (1) and (3) are equivalent
(C) The sequence of operations (2) and (3) are equivalent
(D) The sequence of operations (1), (2) and (3) are equivalent
Q500
MCQ[1 Mark]
A sum of money is to be distributed among P, Q, R, and S in the proportion 5:2:4:3, respectively.\nIf R gets 1000 more than S, what is the share of Q?
Q501
MCQ[1 Mark]
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, cm, cm, cm and cm.\nWhat is the shortest distance between PQ and SR (in cm)?
Q502
MCQ[1 Mark]
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.\nWhat is the maximum number of squares without a "hole in the interior" that can be formed within the grid using the unit squares as building blocks?
Q503
MCQ[1 Mark]
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard.\nIf the security guard does not move around the posted location and has a view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.
Q504
MCQ[2 Marks]
Consider the following inequalities:
(i)
(ii) \nWhich one of the following expressions below satisfies the above two inequalities?
Q505
MCQ[2 Marks]
Four points , , , and represent the vertices of a quadrilateral.\nWhat is the area enclosed by the quadrilateral?
Q506
MCQ[2 Marks]
Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively.\nLet X, Y and Z represent the following operations:\nX: rotation of the square by 180 degree with respect to the S-Q axis.\nY: rotation of the square by 180 degree with respect to the P-R axis.\nZ: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T.\nConsider the following three distinct sequences of operation (which are applied in the left to right order).
(1) XYZZ
(2) XY
(3) ZZZZ\nWhich one of the following statements is correct as per the information provided above?
Q507
MCQ[2 Marks]
A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within the rhombus?
Q508
MCQ[2 Marks]
An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters (circumferences) of the equilateral triangle to square to circle?
Q509
MCQ[2 Marks]
Given below are three conclusions drawn based on the statements:
1. All teachers are professors.
2. No professor is a male.
3. Some males are engineers.
Which conclusions can be logically inferred?
Q510
MCQ[2 Marks]
In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration?
Data Interpretation
57 QuestionsQ511
MCQ[2 Marks]
The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, items were sold with the average selling price of Rs. . The following observations were made:
(i) The quantity of S sold was twice that of T.
(ii) The quantity of R sold was thrice that of T.
(iii) The quantity of Q sold was four times that of T.
| Product | Unit selling price (Rs.) |
| :---: | :---: |
| P | 100 |
| Q | 60 |
| R | 60 |
| S | 40 |
| T | 50 |
What is the quantity of product P sold on that day?
Q512
MCQ[1 Mark]
In the sequence of tiles shown below, the missing tile indicated by the question mark should be
Q513
MCQ[2 Marks]
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
Q514
MCQ[2 Marks]
Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such that any two corners that are connected by an edge must be of different colors. The minimum number of colors required to achieve this is ________
Q515
MCQ[2 Marks]
Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them: i. Neither H2 nor H3 is the easternmost hill. ii. Neither H2 nor H3 is the westernmost hill. iii. Neither the easternmost hill nor the westernmost hill is the southernmost hill. iv. Two hills are located to the west of H2. v. The southernmost hill has at least two hills to its east. The southernmost hill is ________.
Q516
MCQ[1 Mark]
To continue the sequence of tiles shown, the tile indicated by the question mark
should be
(A)
(B)
(C)
(D)
Q517
MCQ[1 Mark]
Consider an art gallery whose walkways are shown as lines in the diagram. A
black dot represents a junction of two walkways. A guard may be placed at a
junction to watch over the walkways that join at that junction. The minimum
number of guards needed to watch all the walkways is ________.
(A) 2
(B) 3
(C) 4
(D) 5
Q518
MCQ[1 Mark]
A coin with heads facing up is shown as and a coin with tails facing up is
shown as .
Six coins are placed in the Starting Arrangement, as shown in the figure below.
A “step” is defined as interchanging a pair of adjacent coins without flipping
them. The minimum number of steps needed to go from the Starting Arrangement
to the Final Arrangement, as shown in the figure, is ________.
(A) 3
(B) 6
(C) 9
(D) 12
Q519
MCQ[2 Marks]
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a
cube. The shaded regions shown in Panel I appear on the outer surface of the cube.
Referring to cubes shown in Panel II, which one of the options is correct?
(A) Only (i) can correspond to the unfolded cube in Panel I.
(B) Only (ii) can correspond to the unfolded cube in Panel I.
(C) Both (i) and (ii) can correspond to the unfolded cube in Panel I.
(D) Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.
Q520
MCQ[2 Marks]
In a population, patients who have high cholesterol also have high blood-pressure
(BP). Some patients with high BP also have diabetes. There are no patients who
have both high cholesterol and diabetes. Furthermore,
1. the total number of patients with at least one of these conditions is 75,
2. the number of patients with high cholesterol is 10,
3. the number of patients with high BP is 45, and
4. the number of patients with only high BP and no other conditions is 20.
Then the number of patients who have both diabetes and high BP is _______
(A) 0
(B) 15
(C) 20
(D) 10
Q521
MCQ[2 Marks]
Four people P, Q, R, and S, of different ages, make the following observations.
P – I am younger than S.
Q – I am neither the youngest nor the oldest.
R – P is older than me.
Based on these observations, the youngest person is ______.
(A) P
(B) Q
(C) R
(D) S
Q522
MCQ[2 Marks]
Combinatorics deals with problems involving counting... Consider the following statements: P: Combinatorics is always invoked in the modeling of physical phenomena. Q: Modeling some physical phenomena involves assigning probabilities to combinatorial possibilities in order to compute average values of physical quantities. Based on the passage above, what can be inferred about statements P and Q?
Q523
MCQ[2 Marks]
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore,
1. the total number of patients with at least one of these conditions is 75,
2. the number of patients with high cholesterol is 10,
3. the number of patients with high BP is 45, and
4. the number of patients with only high BP and no other conditions is 20.\nThen the number of patients who have both diabetes and high BP is
Q524
MCQ[2 Marks]
The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of Rs. 60. Observations: (i) The quantity of S sold was twice that of T. (ii) The quantity of R sold was thrice that of T. (iii) The quantity of Q sold was four times that of T.
| Product | Unit selling price (Rs.) |
| --- | --- |
| P | 50 |
| Q | 100 |
| R | 60 |
| S | 60 |
| T | 40 |
\nWhat is the quantity of product P sold on that day?
Q525
MCQ[2 Marks]
The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of Rs. 60. The observations are:
- Q of S = Q of T
- Q of R = Q of T
- Q of Q = Q of T\nPrices: P = 50, Q = 100, R = 60, S = 60, T = 40.\nWhat is the quantity of product P sold on that day?
(A) 40
(B) 50
(C) 60
(D) 70
Q526
MCQ[2 Marks]
The figure in Panel I below is a grid of cells with four rows and four columns. The numbers on the top and on the left represent the number of cells that are to be shaded in that column and row, respectively. Which one of the options shown in Panel II below represents the grid shaded correctly?
Q527
MCQ[2 Marks]
The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze medals won by them. Based only on the data provided in the table, which one of the following statements is INCORRECT?
| Nation | Gold | Silver | Bronze |
| :--- | :---: | :---: | :---: |
| USA | 40 | 44 | 41 |
| Canada | 39 | 27 | 24 |
| Japan | 20 | 12 | 13 |
| Australia | 19 | 17 | 16 |
| France | 16 | 26 | 22 |
Q528
MCQ[1 Mark]
A 4 × 4 digital image has pixel intensities (𝑈) as shown in the figure. The number of pixels with 𝑈≤4 is:
Q529
MCQ[1 Mark]
In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of P, Q, and R ?
Q530
MCQ[2 Marks]
Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then it monotonically decreases. Let 𝑎1 and 𝑎2 (in years) denote the ages of the brothers and 𝑎1 < 𝑎2. Which one of the following statements is correct about their age on the day when they attain the same weight?
Q531
MCQ[2 Marks]
A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All the triangles (numbered 1 to 12) in the figure are used to form squares of side r cm and each numbered triangle is used only once to form a square. The number of squares that can be formed and the number of triangles required to form each square, respectively, are: Note: The figure shown is representative.
Q532
MCQ[2 Marks]
The number of patients per shift (𝑋) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹ 1000(𝑋−0.2), what is the average amount (in ₹) she has earned per shift in the past 100 shifts? Note: The figure shown is representative.
Q533
MCQ[1 Mark]
According to the map shown in the figure, which one of the following statements is correct?
Note: The figure shown is representative.
Q534
MCQ[2 Marks]
A square paper, shown in figure (I), is folded along the dotted lines as shown in the figures (II) and (III). Then a few cuts are made as shown in figure (IV). Which one of the following patterns will be obtained when the paper is unfolded?
Note: The figures shown are representative.
Q535
MCQ[2 Marks]
Based only on the information provided in the passage, which one of the following statements is true?
Q536
MCQ[2 Marks]
The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze medals won by them. Based only on the data provided in the table, which one of the following statements is INCORRECT?
Nation | Gold | Silver | Bronze
USA | 40 | 44 | 41
Canada | 39 | 24 | 27
Japan | 12 | 20 | 13
Australia | 19 | 17 | 16
France | 16 | 26 | 22
Q537
MCQ[2 Marks]
Based on the course scores of students P and Q given in the table, which statement is INCORRECT?
Q538
MCQ[2 Marks]
Which one of the following options is correct for the given data in the table?
Q539
MCQ[2 Marks]
Which one of the following options is correct for the given data in the table?
(A) ; ;
(B) ; ;
(C) ; ;
(D) ; ;
Q540
MCQ[2 Marks]
The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of .
The Capacity Factor of a power generation technology is:
Which one of the given technologies has the highest Capacity Factor?
Q541
MCQ[1 Mark]
If ‘→’ denotes increasing order of intensity, then the meaning of the words [dry → arid → parched] is analogous to [diet → fast → ________ ]. Which one of the given options is appropriate to fill the blank?
Q542
MCQ[1 Mark]
Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is
Q543
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. The typical energy density (kcal/g) of these macronutrients is given in the table. Macronutrient Energy density (kcal/g) Carbohydrates 4 Proteins 4 Unsaturated fat 9 Saturated fat 9 Trans fat 9 The total fat (all three types), in grams, this person consumes is
Q544
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is
Q545
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
[Pie chart: Carbohydrates 35%, Proteins 20%, Unsaturated fat 20%, Saturated fat 20%, Trans fat 5%]
The typical energy density (kcal/g) for fats (unsaturated, saturated, trans) is 9 kcal/g.
The total fat (all three types), in grams, this person consumes is
Q546
MCQ[2 Marks]
Which one of the given technologies has the highest Capacity Factor based on the chart?
Q547
MCQ[2 Marks]
The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index (BMI) in 2003 and 2023. Based on the data provided, which one of the following options is INCORRECT?
Q548
MCQ[2 Marks]
Based on the chart showing car purchases by Millennials and Gen X and fuel consumption from 2010 to 2020, which statement is true?
Q549
MCQ[1 Mark]
In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown.
The total number of votes cast in the election were , out of which were invalid.
Based on the data provided, the total number of valid votes received by the candidates B and C is
Q550
MCQ[2 Marks]
The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?
Q551
MCQ[2 Marks]
The bar chart gives the batting averages of VK and RS for 11 calendar years from 2012 to 2022. Considering that 2015 and 2019 are world cup years, which one of the following options is true?
Q552
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical diet (Carbohydrates 35%, Proteins 20%, Unsaturated fat 20%, Saturated fat 20%, Trans fat 5%). Energy densities: Carb 4, Protein 4, Fat 9 kcal/g. Total fat consumed in grams is
(A) 44.4
(B) 77.8
(C) 100
(D) 3,600
Q553
MCQ[2 Marks]
The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?
Q554
MCQ[1 Mark]
In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.) 7 P S 5 90° 4 90° V Q T R
Q555
MCQ[1 Mark]
In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college. Based only on the above information, which one of the following statements can be logically inferred with certainty?
Q556
MCQ[1 Mark]
A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry? (The figure is representative) P N M Q
Q557
MCQ[2 Marks]
Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement “Some human beings are not cruel creatures” is FALSE, then which of the following set of statement(s) can be logically inferred with certainty? (i) All human beings are cruel creatures. (ii) Some human beings are cruel creatures. (iii) Some creatures that are cruel are human beings. (iv) No human beings are cruel creatures.
Q558
MCQ[2 Marks]
Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.
Q559
MCQ[2 Marks]
The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place... Based only on the above passage, which one of the following statements can be inferred with certainty?
Q560
MCQ[1 Mark]
A survey for a certain year found that 90% of pregnant women received medical care at least once before giving birth. Of these women, 60% received medical care from doctors, while 40% received medical care from other healthcare providers. Given this information, which one of the following statements can be inferred with certainty?
Q561
MCQ[2 Marks]
Based only on the information provided above, which one of the following statements can be logically inferred with certainty?
Q562
MCQ[1 Mark]
Based on the survey showing 65% advised to stop and 3 out of 10 attempting to stop, which statement can be logically inferred?
Q563
MCQ[1 Mark]
A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III?
Q564
MCQ[1 Mark]
A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially. What is the minimum number of doors that need to be opened in order to go from the point P to the point Q?
Q565
MCQ[1 Mark]
From the given four statements, find the two statements that CANNOT BE TRUE simultaneously, assuming that there is at least one student in the class.
Q566
MCQ[2 Marks]
Which one of the following is the CORRECT logical inference based on the information in the above passage?
Q567
MCQ[1 Mark]
A block with a trapezoidal cross-section is placed over a block with rectangular
cross section as shown above.
Which one of the following is the correct drawing of the view of the 3D object
as viewed in the direction indicated by an arrow in the above figure?
(A)
(B)
(C)
(D)
Verbal Ability
218 QuestionsQ568
MCQ[1 Mark]
'The team _______ more than 300 runs in 20 overs _______ rains. However, some players needed to improve their batting skills.'
Choose the option with the correct sequence of words to fill the blanks.
Q569
MCQ[1 Mark]
'All the mangoes in the basket are good.'
If the above statement is false, then which one of the following statements is necessarily true?
Q570
MCQ[2 Marks]
'People are crowding around _______ pit into which _______ elephant has fallen. I have never seen an elephant looking more bewildered _______ miserable. Here it is in a most undignified position, thrust into a pit and made to look up _______ a vast, curiosity-stricken crowd.'
Choose the option with the correct sequence of words to fill the blanks.
Q571
MCQ[1 Mark]
“He often _____ the numbers. False claims are not going to help. Honesty _____ trust”, said the manager. Choose the option with the correct order of words to fill the blanks.
Q572
MCQ[2 Marks]
Charity : P :: Retaliation : Q Choose the appropriate pair of words P and Q that fit the analogy.
Q573
MCQ[1 Mark]
Suresh said, “I did it yesterday.”
Which one of the following options is the correct form of this sentence in indirect
speech?
(A) Suresh said that I did it yesterday.
(B) Suresh says I did it yesterday.
(C) Suresh says that he did it the day before.
(D) Suresh said that he had done it the day before.
Q574
MCQ[2 Marks]
Exacerbate : Mitigate :: ___________
Choose the option with the correct pair of words to fill the blank.
(A) Aggravate : Alleviate
(B) Alleviate : Precipitate
(C) Aggravate : Precipitate
(D) Emancipate : Exonerate
Q575
MCQ[1 Mark]
"He often ____ the numbers. False claims are not going to help. Honesty ____ trust", said the manager. Choose the option with the correct order of words to fill the blanks.
Q576
MCQ[2 Marks]
Charity: P :: Retaliation : Q. Choose the appropriate pair of words P and Q that fit the analogy.
Q577
MCQ[1 Mark]
In the sentence 'The shopkeeper sells lemons.', the word 'lemons' is the
Q578
MCQ[1 Mark]
Based on the given paragraph regarding Anish's match performance and captaincy, which statement is true?
Q579
MCQ[2 Marks]
Match the words in Column I with their synonyms in Column II.
Q580
MCQ[1 Mark]
"He often [blank1] the numbers. False claims are not going to help. Honesty [blank2] trust", said the manager. Choose the option with the correct order of words to fill the blanks.
Q581
MCQ[2 Marks]
Charity : P :: Retaliation : Q
Choose the appropriate pair of words P and Q that fit the analogy.
Q582
MCQ[1 Mark]
The antonym of the word protagonist is
Q583
MCQ[1 Mark]
'When the teacher is in the room, all students stand silently.' If the above statement is true, which one of the following statements is not necessarily true?
Q584
MCQ[1 Mark]
Among the following options, the antonym of the word 'nocturnal' is
Q585
MCQ[2 Marks]
Each one of the following clues contains a keyword that is partially filled.
Clue 1: Synonym of recognize (8 letters): _D_NT_FY
Clue 2: A story long enough to fill a book (5 letters): EL
Clue 3: Two of something (6 letters): PLE
Clue 4: A fraction of something, split equally into two parts (4 letters): _F
The first letter of each of the keywords can be rearranged to form a four-letter word.
Which one of the options below is a possible choice for the four-letter word?
Q586
MCQ[2 Marks]
If
Ref Fig gîⅎ ʇǝᴚ
12 34 AꞮ εS
Then
GATE - 2026 ?
Aptitude Test
Q587
MCQ[1 Mark]
In the sentence 'The shopkeeper sells lemons.', the word 'lemons' is the
Q588
MCQ[1 Mark]
Based on the provided paragraph regarding Anish's match performance and captaincy, which statement is true?
Q589
MCQ[2 Marks]
Match the words in Column I with their synonyms in Column II:
Column I: (i) Lonely, (ii) Literal, (iii) Lousy, (iv) Lethal
Column II: (p) Verbatim, (q) Solitary, (r) Deadly, (s) Terrible
Q590
MCQ[1 Mark]
Suresh said, "I did it yesterday."
Which one of the following options is the correct form of this sentence in indirect speech?
Q591
MCQ[2 Marks]
Exacerbate: Mitigate ::
Choose the option with the correct pair of words to fill the blank.
Q592
MCQ[1 Mark]
Suresh said, "I did it yesterday." Which one of the following options is the correct form of this sentence in indirect speech?
Q593
MCQ[2 Marks]
Exacerbate: Mitigate :: Choose the option with the correct pair of words to fill the blank.
Q594
MCQ[1 Mark]
The team scored more than 300 runs in 20 overs despite rains. However, some players needed to improve their batting skills. Choose the option with the correct sequence of words to fill the blanks.
Q595
MCQ[2 Marks]
'People are crowding around **[1]** pit into which **[2]** elephant has fallen. I have never seen an elephant looking more bewildered **[3]** miserable. Here it is in a most undignified position, thrust into a pit and made to look up **[4]** a vast, curiosity-stricken crowd.' Choose the option with the correct sequence of words to fill the blanks.
Q596
MCQ[1 Mark]
Suresh said, "I did it yesterday." Which one of the following options is the correct form of this sentence in indirect speech?
Q597
MCQ[2 Marks]
Exacerbate : Mitigate :: Choose the option with the correct pair of words to fill the blank.
Q598
MCQ[1 Mark]
'The team _______ more than 300 runs in 20 overs _______ rains. However, some players needed to improve their batting skills.' Choose the option with the correct sequence of words to fill the blanks.
(A) score; despite
(B) scoring; instead of
(C) scored; despite
(D) scoring; in spite of
Q599
MCQ[1 Mark]
'All the mangoes in the basket are good.' If the above statement is false, then which one of the following statements is necessarily true?
(A) All the mangoes in the basket are not good.
(B) No mango in the basket is good.
(C) In the basket, some of the mangoes are good and some are not good.
(D) There exists at least one mango in the basket that is not good.
Q600
MCQ[2 Marks]
'People are crowding around [blank 1] pit into which [blank 2] elephant has fallen. I have never seen an elephant looking more bewildered [blank 3] miserable. Here it is in a most undignified position, thrust into a pit and made to look up [blank 4] a vast, curiosity-stricken crowd.' Choose the option with the correct sequence of words to fill the blanks.
(A) an; a; at; and
(B) a; an; and; at
(C) and; a; an; at
(D) at; a; an; and
Q601
MCQ[1 Mark]
Expedite, Hasten, Hurry.
Fill the blank by choosing a word with a meaning similar to that of the words given above.
Q602
MCQ[1 Mark]
'When it is raining, peacocks dance.' Based only on this sentence, which one of the following options is necessarily true?
Q603
MCQ[2 Marks]
Water: P :: Food : Q.
Choose the P and Q combination from the options below to form a meaningful analogy.
Q604
MCQ[1 Mark]
Expedite, Hasten, Hurry, ______
Fill the blank by choosing a word with a meaning similar to that of the words given above.
Q605
MCQ[1 Mark]
'When it is raining, peacocks dance.'
Based only on this sentence, which one of the following options is necessarily true?
Q606
MCQ[2 Marks]
Water: P :: Food : Q
Choose the P and Q combination from the options below to form a meaningful analogy.
Q607
MCQ[1 Mark]
Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Group-I:
Group-II:
Q608
MCQ[1 Mark]
Had I learnt acting as a child, I ________ a famous film star.
Select the most appropriate option to complete the above sentence.
Q609
MCQ[2 Marks]
Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:
P. Over time, such adaptations lead to significant evolutionary changes with the potential to shape the development of new species.
Q. In natural world, organisms constantly adapt to their environments in response to challenges and opportunities.
R. This process of adaptation is driven by the principle of natural selection, where favorable traits increase an organism's chances of survival and reproduction.
S. As environments change, organisms that can adapt their behavior, structure and physiology to such changes are more likely to survive.
Q610
MCQ[1 Mark]
Courage : Bravery :: Yearning : __________ Select the most appropriate option to complete the analogy.
Q611
MCQ[1 Mark]
We __________ tennis in the lawn when it suddenly started to rain. Select the most appropriate option to complete the above sentence.
Q612
MCQ[2 Marks]
Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk. Column-I Column-II P. This house is in a mess. 1. Alright, I won’t bring it up during our conversations. Q. I am not happy with the marks given to me. 2. Well, you can easily look it up. R. Politics is a subject I avoid talking about. 3. No problem, let me clear it up for you. S. I don’t know what this word means. 4. Don’t worry, I will take it up with your teacher. Identify the option that has the correct match between Column-I and Column-II.
Q613
MCQ[1 Mark]
Ravi had ______ younger brother who taught at ______ university. He was widely regarded as ______ honorable man.
Select the option with the correct sequence of articles to fill in the blanks.
Q614
MCQ[1 Mark]
The CEO's decision to downsize the workforce was considered myopic because it sacrificed long-term stability to accommodate short-term gains.
Select the most appropriate option that can replace the word "myopic" without changing the meaning of the sentence.
Q615
MCQ[2 Marks]
Based only on the information provided in the above passage (G.K. Chesterton's "A Piece of Chalk"), which one of the following statements is true?
Q616
MCQ[1 Mark]
Is there any good show ____ television tonight? Select the most appropriate option to complete the above sentence.
Q617
MCQ[1 Mark]
As the police officer was found guilty of embezzlement, he was dismissed ____ from the service in accordance with the Service Rules. Select the most appropriate option to complete the above sentence.
Q618
MCQ[2 Marks]
"Why do they pull down and do away with crooked streets, I wonder, which are my delight, and hurt no man living? Every day the wealthier nations are pulling down one or another in their capitals and their great towns..." Based only on the information provided in the above passage, which one of the following statements is true?
Q619
MCQ[1 Mark]
Is there any good show ___ television tonight?
Q620
MCQ[1 Mark]
As the police officer was found guilty of embezzlement, he was ___ dismissed from the service in accordance with the Service Rules.
Q621
MCQ[2 Marks]
Based on Hilaire Belloc's 'The Crooked Streets' passage, which one of the statements is true?
Q622
MCQ[1 Mark]
Is there any good show [blank] television tonight? Select the most appropriate option to complete the above sentence.
Q623
MCQ[1 Mark]
As the police officer was found guilty of embezzlement, he was [blank] dismissed from the service in accordance with the Service Rules.
Q624
MCQ[2 Marks]
Based only on the information provided in the passage by Hilaire Belloc's 'The Crooked Streets', which one of the following statements is true?
Q625
MCQ[1 Mark]
Ravi had ___ younger brother who taught at ___ university. He was widely regarded as ___ honorable man. Select the option with the correct sequence of articles to fill in the blanks.
Q626
MCQ[1 Mark]
The CEO's decision to downsize the workforce was considered myopic because it sacrificed long-term stability to accommodate short-term gains. Select the most appropriate option that can replace the word "myopic" without changing the meaning of the sentence.
Q627
MCQ[1 Mark]
Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Group-I: Abuse → Insult → Ridicule
Group-II: [Missing] → Praise → Appreciate
Q628
MCQ[1 Mark]
Had I learnt acting as a child, I ______ a famous film star.
Select the most appropriate option to complete the above sentence.
Q629
MCQ[2 Marks]
Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:
P. Over time, such adaptations lead to significant evolutionary changes with the potential to shape the development of new species.
Q. In natural world, organisms constantly adapt to their environments in response to challenges and opportunities.
R. This process of adaptation is driven by the principle of natural selection, where favorable traits increase an organism's chances of survival and reproduction.
S. As environments change, organisms that can adapt their behavior, structure and physiology to such changes are more likely to survive.
Q630
MCQ[1 Mark]
Kavya didn't go to work yesterday as she ... feeling well. Select the most appropriate option to complete the sentence.
Q631
MCQ[1 Mark]
Good : Evil :: Genuine : ... Select the most appropriate option to complete the analogy.
Q632
MCQ[2 Marks]
Identify the correct sentence sequence to form a coherent paragraph about tigers and deer hunting.
Q633
MCQ[1 Mark]
Despite his initial hesitation, Rehman's _____ to contribute to the success of the project never wavered. Select the most appropriate option to complete the above sentence.
Q634
MCQ[1 Mark]
Bird : Nest :: Bee : _____ Select the correct option to complete the analogy.
Q635
MCQ[2 Marks]
Based only on the conversation below, identify the logically correct inference: "Even if I had known that you were in the hospital, I would not have gone there to see you", Ramya told Josephine.
Q636
MCQ[1 Mark]
Fish : Shoal :: Lion : _____. Select the correct option to complete the analogy.
Q637
MCQ[1 Mark]
Identify the grammatically correct sentence:
Q638
MCQ[2 Marks]
Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:
\nP. At once, without thinking much, people rushed towards the city in hordes with the sole aim of grabbing as much gold as they could.
\nQ. However, little did they realize about the impending hardships they would have to face on their way to the city: miles of mud, unfriendly forests, hungry beasts and inimical local lords all of which would reduce their chances of getting gold to almost zero.
\nR. All of them thought that easily they could lay their hands on gold and become wealthy overnight.
\nS. About a hundred years ago, the news that gold had been discovered in Kolar spread like wildfire and the whole State was in raptures.
Q639
MCQ[1 Mark]
Even though I had planned to go skiing with my friends, I had to ________ at the last moment because of an injury. Select the most appropriate option to complete the above sentence.
Q640
MCQ[1 Mark]
The President, along with the Council of Ministers, ________ to visit India next week. Select the most appropriate option to complete the above sentence.
Q641
MCQ[2 Marks]
Based only on the information provided in the passage, which one of the following statements is true?
Q642
MCQ[1 Mark]
Despite his initial hesitation, Rehman's _______ to contribute to the success of the project never wavered. Select the most appropriate option to complete the above sentence.
(A) ambivalence
(B) satisfaction
(C) resolve
(D) revolve
Q643
MCQ[1 Mark]
Bird : Nest :: Bee : _______\nSelect the correct option to complete the analogy.
(A) Kennel
(B) Hammock
(C) Hive
(D) Lair
Q644
MCQ[2 Marks]
Based only on the conversation below, identify the logically correct inference:
"Even if I had known that you were in the hospital, I would not have gone there to see you", Ramya told Josephine.
(A) Ramya knew that Josephine was in the hospital.
(B) Ramya did not know that Josephine was in the hospital.
(C) Ramya and Josephine were once close friends; but now, they are not.
(D) Josephine was in the hospital due to an injury to her leg.
Q645
MCQ[1 Mark]
Despite his initial hesitation, Rehman's ______ to contribute to the success of the project never wavered.\nSelect the most appropriate option to complete the above sentence.
Q646
MCQ[1 Mark]
Bird : Nest :: Bee : ______\nSelect the correct option to complete the analogy.
Q647
MCQ[2 Marks]
Based only on the conversation below, identify the logically correct inference:
"Even if I had known that you were in the hospital, I would not have gone there to see you", Ramya told Josephine.
Q648
MCQ[1 Mark]
Fish : Shoal :: Lion : _____
Select the correct option to complete the analogy.
Q649
MCQ[1 Mark]
Identify the grammatically correct sentence:
Q650
MCQ[2 Marks]
Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:
P. At once, without thinking much, people rushed towards the city in hordes with the sole aim of grabbing as much gold as they could.
Q. However, little did they realize about the impending hardships they would have to face on their way to the city: miles of mud, unfriendly forests, hungry beasts and inimical local lords all of which would reduce their chances of getting gold to almost zero.
R. All of them thought that easily they could lay their hands on gold and become wealthy overnight.
S. About a hundred years ago, the news that gold had been discovered in Kolar spread like wildfire and the whole State was in raptures.
Q651
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words is analogous to .
Which one of the given options is appropriate to fill the blank?
Q652
MCQ[2 Marks]
In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks.
From the ancient Athenian arena to the modern Olympic stadiums, athletics the potential for a spectacle. The crowd with bated breath as the Olympian artist twists his body, stretching the javelin behind him. Twelve strides in, he begins to cross-step. Six cross-steps in an abrupt stop on his left foot. As his body like a door turning on a hinge, the javelin is launched skyward at a precise angle.
Q653
MCQ[2 Marks]
In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks. Steve was advised to keep his head (i) before heading (ii) to bat; for, while he had a head (iii) batting, he could only do so with a cool head s (iv) his shoulders.
Q654
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words is analogous to .
Which one of the given options is appropriate to fill the blank?
Q655
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Steve was advised to keep his head (i) before heading (ii) to bat; for, while he had a head (iii) batting, he could only do so with a cool head (iv) his shoulders.
Q656
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [dry -> arid -> parched] is analogous to [diet -> fast -> __]. Which one of the given options is appropriate to fill the blank?
Q657
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Steve was advised to keep (i) _____ before heading to bat; for, while he had a head (ii) _____ batting, he could only do so with a cool head (iii) _____ his shoulders.
Q658
MCQ[1 Mark]
If '→' denotes increasing order of intensity, then the meaning of the words [simmer → seethe → smolder] is analogous to [break → raze → ___].
Q659
MCQ[2 Marks]
Select the best grammatical match for blanks (i) to (iv) in the provided athletic text passage.
Q660
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [simmer seethe smolder] is analogous to [break raze [blank]].
Q661
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Q662
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [dry -> arid -> parched] is analogous to [diet -> fast -> _]. Which one of the given options is appropriate to fill the blank?
Q663
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Q664
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words [charm enamor bewitch] is analogous to [bored ______ weary]. Which one of the given options is appropriate to fill the blank?
Q665
MCQ[2 Marks]
Sequence the following sentences (P, Q, R, S) in a coherent passage:
P: Shifu's student exclaimed, "Why do you run since the bull is an illusion?"
Q: Shifu said, "Surely my running away from the bull is also an illusion."
R: Shifu once proclaimed that all life is illusion.
S: One day, when a bull gave him chase, Shifu began running for his life.
Q666
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [talk -> shout -> scream] is analogous to [please -> ... -> pander]. Which one of the given options is appropriate to fill the blank?
Q667
MCQ[2 Marks]
Select the correct prepositions to fill the blanks in the sentence.
Q668
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words [sick infirm moribund] is analogous to [silly _____ daft].
Which one of the given options is appropriate to fill the blank?
Q669
MCQ[2 Marks]
Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the ability to digest dairy milk.
Based on the given passage, which of the following can be inferred?
Q670
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words [drizzle rain downpour] is analogous to [ quarrel feud]. Which one of the given options is appropriate to fill the blank?
Q671
MCQ[1 Mark]
Statements:
1. All heroes are winners.
2. All winners are lucky people.\nInferences:\nI. All lucky people are heroes.\nII. Some lucky people are heroes.\nIII. Some winners are heroes.\nWhich of the above inferences can be logically deduced from statements 1 and 2?
Q672
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.\nYoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) the freedom of her writings that stand (iv) .
Q673
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words [smile giggle laugh] is analogous to [disapprove chide ___]. Which one of the given options is appropriate to fill the blank?
Q674
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
\nProf. P **(i)** merely a man who narrated funny stories. **(ii)** in his blackest moments was he able to find humor. Prof. Q **(iii)** a man who hardly narrated funny stories. **(iv)** in his blackest moments he was capable of self-deprecating humor.
Q675
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [drizzle -> rain -> downpour] is analogous to [ -> quarrel -> feud]. Which one of the given options is appropriate to fill the blank?
Q676
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) her writings that stand (iv) the freedom of speech.
Q677
MCQ[1 Mark]
If '' denotes increasing order of intensity, then the meaning of the words [dry arid parched] is analogous to [diet fast \_]. Which one of the given options is appropriate to fill the blank?
(A) starve
(B) reject
(C) feast
(D) deny
Q678
MCQ[2 Marks]
In the given text, fill in the blanks with the correct prepositions/words: Steve was advised to keep his head (i) his shoulders... [Options match (C)]
Q679
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [dry arid parched] is analogous to [diet fast __].
Which one of the given options is appropriate to fill the blank?
Q680
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Steve was advised to keep his head (i) before heading to bat; (ii) batting, he could only do so with a cool head (iii) for, while he had a head (iv) his shoulders.
Q681
MCQ[1 Mark]
If '→' denotes increasing order of intensity, then the meaning of the words [drizzle → rain → downpour] is analogous to [______ → quarrel → feud]. Which one of the given options is appropriate to fill the blank?
Q682
MCQ[1 Mark]
Statements:
1. All heroes are winners.
2. All winners are lucky people.
Inferences:
I. All lucky people are heroes.
II. Some lucky people are heroes.
III. Some winners are heroes.
Which of the above inferences can be logically deduced from statements 1 and 2?
Q683
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) the freedom of speech. Her writings that stand (iv)
Q684
MCQ[1 Mark]
"I cannot support this proposal. My ________ will not permit it."
Q685
MCQ[1 Mark]
Courts : ________ :: Parliament : Legislature
(By word meaning)
Q686
MCQ[2 Marks]
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures that have claws are ferocious.
Based only on the information provided above, which one of the following options can be logically inferred with certainty?
Q687
MCQ[2 Marks]
Which one of the following options can be inferred from the given passage alone?
> When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine that I could just gaze off into space and be whisked to another planet.
> *[Excerpt from The Truth about Stories by T. King]*
Q688
MCQ[1 Mark]
“You are delaying the completion of the task. Send _______ contributions at the earliest.”
Q689
MCQ[1 Mark]
References : ______ : : Guidelines : Implement (By word meaning)
Q690
MCQ[2 Marks]
Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World Bank said Sri Lanka needed to adopt structural reforms that focus on economic stabilisation and tackle the root causes of its crisis. The latter has starved it of foreign exchange and led to shortages of food, fuel, and medicines. The bank is repurposing resources under existing loans to help alleviate shortages of essential items such as medicine, cooking gas, fertiliser, meals for children, and cash for vulnerable households. Based only on the above passage, which one of the following statements can be inferred with certainty?
Q691
MCQ[1 Mark]
"You are delaying the completion of the task. Send _______ contributions at the earliest."
Q692
MCQ[1 Mark]
Choose the word most analogous or matching by word meaning context to 'Guidelines : Implement :: References : _______'
Q693
MCQ[1 Mark]
In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college. Based only on the above information, which one of the following statements can be logically inferred with certainty?
Q694
MCQ[2 Marks]
Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following set of statement(s) can be logically inferred with certainty?
(i) All human beings are cruel creatures.
(ii) Some human beings are cruel creatures.
(iii) Some creatures that are cruel are human beings.
(iv) No human beings are cruel creatures.
Q695
MCQ[1 Mark]
"You are delaying the completion of the task. Send ____ contributions at the earliest."
Q696
MCQ[1 Mark]
References: [Reference word] :: Guidelines: Implement (By word meaning)
Q697
MCQ[1 Mark]
In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college. Based only on the above information, which one of the following statements can be logically inferred with certainty?
Q698
MCQ[2 Marks]
Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following set of statement(s) can be logically inferred with certainty?
Q699
MCQ[2 Marks]
The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place... Based only on the above passage, which one of the following statements can be inferred with certainty?
Q700
MCQ[1 Mark]
"I have not yet decided what I will do this evening; I ___ visit a friend."
Q701
MCQ[1 Mark]
A duck named Donald Duck says "All ducks always lie." Based on this, which statement can be logically inferred with certainty?
Q702
MCQ[2 Marks]
Based only on the truth of 'Some humans are intelligent', which option can be logically inferred with certainty?
Q703
MCQ[2 Marks]
Based on the passage about the James Webb telescope and dark matter, which statement is FALSE?
Q704
MCQ[1 Mark]
"You are delaying the completion of the task. Send [blank] contributions at the earliest." Select the most appropriate option to fill the blank.
Q705
MCQ[1 Mark]
Implement : Guidelines :: [blank] : References (By word meaning)
Q706
MCQ[2 Marks]
If the statement "Some human beings are not cruel creatures" is FALSE in the given imagined world, which set of statement(s) can be logically inferred with certainty?
Q707
MCQ[2 Marks]
Based only on the World Bank passage regarding Sri Lanka's economic crisis, which statement can be inferred with certainty?
Q708
MCQ[1 Mark]
We reached the station late, and ___ missed the train.
Q709
MCQ[2 Marks]
Which one of the following sentence sequences creates a coherent narrative?
Q710
MCQ[1 Mark]
"I cannot support this proposal. My _______ will not permit it."
Q711
MCQ[1 Mark]
Courts : Judiciary :: Parliament : Legislature
(By word meaning)
Q712
MCQ[2 Marks]
Which one of the following options can be inferred from the given passage alone?
Q713
MCQ[1 Mark]
Rafi told Mary, "I am thinking of watching a film this weekend." Report this statement in indirect speech: Rafi told Mary that he ... of watching a film that weekend.
Q714
MCQ[1 Mark]
Complete the analogy based on word meanings: Permit : ... :: Enforce : Relax
Q715
MCQ[2 Marks]
Which option does NOT describe or follow from the passage about cancer and cellular machinery metaphors?
Q716
MCQ[1 Mark]
Rafi told Mary, "I am thinking of watching a film this weekend."
The following reports the above statement in indirect speech:
Rafi told Mary that he _____ of watching a film that weekend.
Q717
MCQ[1 Mark]
Permit : _____ :: Enforce : Relax (By word meaning)
Q718
MCQ[2 Marks]
Students of all the departments of a college who have successfully completed the registration process are eligible to vote in the upcoming college elections. However, by the time the due date for registration was over, it was found that surprisingly none of the students from the Department of Human Sciences had completed the registration process.
Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?
(i) All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences.
(ii) None of the students from departments other than Human Sciences failed to complete the registration process within the due time.
(iii) All the eligible voters would certainly be students who are not from the Department of Human Sciences.
Q719
MCQ[2 Marks]
Which one of the options does NOT describe the passage below or follow from it?
Q720
MCQ[1 Mark]
The village was nestled in a green spot, _____ the ocean and the hills.
Q721
MCQ[1 Mark]
Disagree : Protest :: Agree : _____ (By word meaning)
Q722
MCQ[2 Marks]
Residency is a famous housing complex... Based only on the information provided above, which one of the following statements can be logically inferred with certainty?
Q723
MCQ[2 Marks]
The information contained in DNA is used to synthesize proteins... Based only on the information provided above, which of the following statements can be logically inferred with certainty?
Q724
MCQ[1 Mark]
He did not manage to fix the car himself, so he _____ in the garage.
Q725
MCQ[1 Mark]
Planting : Seed :: Raising : _____ (By word meaning)
Q726
MCQ[2 Marks]
In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi's friends at school were hardworking and kind too. But the teachers drew attention to Ravi's complete lack of interest in sports. The teachers believed that, along with some of his friends who showed similar disinterest in sports, Ravi needed to engage in some sports for his overall development.
\nBased only on the information provided above, which one of the following statements can be logically inferred with certainty?
Q727
MCQ[2 Marks]
Which one of the sentence sequences in the given options creates a coherent narrative?
(i) I could not bring myself to knock.
(ii) There was a murmur of unfamiliar voices coming from the big drawing room and the door was firmly shut.
(iii) The passage was dark for a bit, but then it suddenly opened into a bright kitchen.
(iv) I decided I would rather wander down the passage.
Q728
MCQ[1 Mark]
The line ran ________ the page, right through the centre, and divided the page into two.
Q729
MCQ[1 Mark]
Kind : ________ :: Often : Seldom (By word meaning)
Q730
MCQ[2 Marks]
Elvesland is a country that has peculiar beliefs and practices... Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty? (i) In Elvesland, one always declares one's love by gifting a white flower. (ii) In Elvesland, all emotions are declared by gifting flowers. (iii) In Elvesland, sometimes one expresses one's anger by gifting a flower that is not yellow. (iv) In Elvesland, sometimes one expresses one's love by gifting a white flower.
Q731
MCQ[2 Marks]
Based only on the following passage, which one of the options can be inferred with certainty? [Excerpt from These Hills Called Home by Temsula Ao]
Q732
MCQ[1 Mark]
"You are delaying the completion of the task. Send _______ contributions at the earliest."
(A) you are
(B) your
(C) you're
(D) yore
Q733
MCQ[1 Mark]
Blueprint : Design :: Guidelines : _________
(By word meaning)
(A) Sight
(B) Site
(C) Cite
(D) Plagiarise
Q734
MCQ[1 Mark]
In 2022, June Huh was awarded the Fields medal... Based only on the above information, which one of the following statements can be logically inferred with certainty?
(A) Every Fields medalist has won a medal in an International Mathematics Olympiad.
(B) Everyone who has dropped out of college has won the Fields medal.
(C) All Fields medalists are part-time poets.
(D) Some Fields medalists have dropped out of college.
Q735
MCQ[2 Marks]
Human beings are one among many creatures... If "Some human beings are not cruel creatures" is FALSE, which statements can be inferred?
(i) All human beings are cruel creatures.
(ii) Some human beings are cruel creatures.
(iii) Some creatures that are cruel are human beings.
(iv) No human beings are cruel creatures.
(A) only (i)
(B) only (iii) and (iv)
(C) only (i) and (ii)
(D) (i), (ii) and (iii)
Q736
MCQ[2 Marks]
The World Bank has declared that it does not plan to offer new financing to Sri Lanka... Based only on the above passage, which one of the following statements can be inferred with certainty?
(A) According to the World Bank, the root cause of Sri Lanka's economic crisis is that it does not have enough foreign exchange.
(B) The World Bank has stated that it will advise the Sri Lankan government about how to tackle the root causes of its economic crisis.
(C) According to the World Bank, Sri Lanka does not yet have an adequate macroeconomic policy framework.
(D) The World Bank has stated that it will provide Sri Lanka with additional funds for essentials such as food, fuel, and medicines.
Q737
MCQ[1 Mark]
"You are delaying the completion of the task. Send _______ contributions at the earliest."
Q738
MCQ[1 Mark]
______ :: Guidelines: Implement\nReferences: (By word meaning)
Q739
MCQ[1 Mark]
In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college.\nBased only on the above information, which one of the following statements can be logically inferred with certainty?
Q740
MCQ[2 Marks]
Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following set of statement(s) can be logically inferred with certainty?
(i) All human beings are cruel creatures.
(ii) Some human beings are cruel creatures.
(iii) Some creatures that are cruel are human beings.
(iv) No human beings are cruel creatures.
Q741
MCQ[2 Marks]
The World Bank has declared that it does not plan to offer new financing to Sri Lanka... Based only on the above passage, which one of the following statements can be inferred with certainty?
Q742
MCQ[1 Mark]
The village was nestled in a green spot, ______ the ocean and the hills.
Q743
MCQ[1 Mark]
Disagree : Protest :: Agree : _____
(By word meaning)
Q744
MCQ[2 Marks]
Residency is a housing complex where all well-established residents are academicians, and most of these academicians are authors of best-selling books. Which statement can be logically inferred with certainty?
Q745
MCQ[2 Marks]
Based on the text stating that only about 2% of human DNA consists of coding regions used to produce proteins, which statement can be logically inferred with certainty?
Q746
MCQ[1 Mark]
The ________ is too high for it to be considered ________.
Q747
MCQ[1 Mark]
Given below are four statements.
* **Statement 1:** All students are inquisitive.
* **Statement 2:** Some students are inquisitive.
* **Statement 3:** No student is inquisitive.
* **Statement 4:** Some students are not inquisitive.
From the given four statements, find the two statements that CANNOT BE TRUE simultaneously, assuming that there is at least one student in the class.
Q748
MCQ[2 Marks]
Some people believe that "what gets measured, improves". Some others believe that "what gets measured, gets gamed". One possible reason for the difference in the beliefs is the work culture in organizations. In organizations with good work culture, metrics help improve outcomes. However, the same metrics are counterproductive in organizations with poor work culture.
Which one of the following is the CORRECT logical inference based on the information in the above passage?
Q749
MCQ[1 Mark]
Writing too many things on the ______ while teaching could make the students get ______.
Q750
MCQ[2 Marks]
Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but also sneakily attack their prey. However, having this extra layer of black pigment results in lower collagen on their skin, making their skin more fragile. Which one of the following is the CORRECT logical inference based on the information in the above passage?
Q751
MCQ[1 Mark]
Inhaling the smoke from a burning _____ could _____ you quickly.
Q752
MCQ[2 Marks]
Rice, a versatile and inexpensive source of carbohydrate, is a critical component of diet worldwide. Climate change, causing extreme weather, poses a threat to sustained availability of rice. Scientists are working on developing Green Super Rice (GSR), which is resilient under extreme weather conditions yet gives higher yields sustainably. Which one of the following is the CORRECT logical inference based on the information given in the above passage?
Q753
MCQ[2 Marks]
Given below are three statements and four conclusions drawn based on the statements.
Statement 1: Some engineers are writers.
Statement 2: No writer is an actor.
Statement 3: All actors are engineers.
Conclusion I: Some writers are engineers.
Conclusion II: All engineers are actors.
Conclusion III: No actor is a writer.
Conclusion IV: Some actors are writers.
Which one of the following options can be logically inferred?
Q754
MCQ[1 Mark]
You should ____ when to say ____.
Q755
MCQ[1 Mark]
Given the statements:
- P is the sister of Q.
- Q is the husband of R.
- R is the mother of S.
- T is the husband of P.
Based on the above information, T is ____ of S.
Q756
MCQ[2 Marks]
Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eating healthy in the first year are more likely to have better overall health as they get older. Which one of the following is the CORRECT logical inference based on the information in the above passage?
Q757
MCQ[1 Mark]
You should ___ when to say ___.
Q758
MCQ[1 Mark]
Based on the given family relations, T is ___ of S.
Q759
MCQ[2 Marks]
Which one of the following is the CORRECT logical inference based on the information in the passage?
Q760
MCQ[1 Mark]
Inhaling the smoke from a burning [blank] could [blank] you quickly.
Q761
MCQ[2 Marks]
Based on the passage regarding Green Super Rice (GSR) and climate change, which logical inference is CORRECT?
Q762
MCQ[2 Marks]
Given 3 statements and 4 conclusions. Which option can be logically inferred?
Q763
MCQ[1 Mark]
The ___ is too high for it to be considered ___
Q764
MCQ[1 Mark]
Mr. X speaks ________ Japanese ________ Chinese.
Q765
MCQ[2 Marks]
Mosquitoes pose a threat to human health... Which one of the following is the correct logical inference based on the information in the above passage?
Q766
MCQ[1 Mark]
As you grow older, an injury to your ... may take longer to ... Select the correct homophones to fill the blanks.
Q767
MCQ[2 Marks]
Based on the passage about altruism (motivated by social bonding/group identification, not empathy or guilt), which inference is correct?
Q768
MCQ[1 Mark]
Mr. X speaks _____ Japanese _____ Chinese.
Q769
MCQ[2 Marks]
Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences.
Which one of the following is the correct logical inference based on the information in the above passage?
Q770
MCQ[1 Mark]
Inhaling the smoke from a burning _____ could _____ you quickly.
Q771
MCQ[2 Marks]
Rice, a versatile and inexpensive source of carbohydrate... Which one of the following is the CORRECT logical inference based on the information given in the above passage?
Q772
MCQ[2 Marks]
Given below are three statements and four conclusions drawn based on the statements... Which one of the following options can be logically inferred?
Q773
MCQ[1 Mark]
After playing _________ hours of tennis, I am feeling _________ tired to walk
back.
(A)
too / too
(B)
too / two
(C)
two / two
(D)
two / too
Q774
MCQ[1 Mark]
Four girls P, Q, R and S are studying languages in a University. P is learning
French and Dutch. Q is learning Chinese and Japanese. R is learning Spanish
and French. S is learning Dutch and Japanese.
Given that: French is easier than Dutch; Chinese is harder than Japanese; Dutch
is easier than Japanese, and Spanish is easier than French.
Based on the above information, which girl is learning the most difficult pair of
languages?
(A)
P
(B)
Q
(C)
R
(D)
S
Q775
MCQ[2 Marks]
Humans are naturally compassionate and honest. In a study using strategically
placed wallets that appear “lost”, it was found that wallets with money are more
likely to be returned than wallets without money. Similarly, wallets that had a key
and money are more likely to be returned than wallets with the same amount of
money alone. This suggests that the primary reason for this behavior is
compassion and empathy.
Which one of the following is the CORRECT logical inference based on the
information in the above passage?
(A)
Wallets with a key are more likely to be returned because people do not care
about money
(B)
Wallets with a key are more likely to be returned because people relate to
suffering of others
(C)
Wallets used in experiments are more likely to be returned than wallets that are
really lost
(D)
Money is always more important than keys
Q776
MCQ[2 Marks]
Given below are three conclusions drawn based on the following three
statements.
Statement 1: All teachers are professors.
Statement 2: No professor is a male.
Statement 3: Some males are engineers.
Conclusion I: No engineer is a professor.
Conclusion II: Some engineers are professors.
Conclusion III: No male is a teacher.
Which one of the following options can be logically inferred?
(A)
Only conclusion III is correct
(B)
Only conclusion I and conclusion II are correct
(C)
Only conclusion II and conclusion III are correct
(D)
Only conclusion I and conclusion III are correct
Q777
MCQ[1 Mark]
Mr. X speaks neither Japanese nor Chinese.
Q778
MCQ[2 Marks]
Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences. Which one of the following is the correct logical inference based on the information in the above passage?
Q779
MCQ[1 Mark]
Mr. X speaks _______ Japanese _______ Chinese.
(A) neither/or
(B) either/nor
(C) neither / nor
(D) also / but
Q780
MCQ[2 Marks]
Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences.\nWhich one of the following is the correct logical inference based on the information in the above passage?
(A) Using chemicals to kill mosquitoes is better than using genetically modified mosquitoes because genetic engineering is dangerous
(B) Using genetically modified mosquitoes is better than using chemicals to kill mosquitoes because they do not have any side effects
(C) Both using genetically modified mosquitoes and chemicals have undesired consequences and can be dangerous
(D) Using chemicals to kill mosquitoes may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence
Q781
MCQ[2 Marks]
In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.\nStatement of P: R has copied in the exam.\nStatement of Q: S has copied in the exam.\nStatement of R: P did not copy in the exam.\nStatement of S: Only one of us is telling the truth.\nStatement of T: R is telling the truth.\nThe investigating team had authentic information that S never lies.\nBased on the information given above, the person who has copied in the exam is
(A) R
(B) P
(C) Q
(D) T
Q782
MCQ[1 Mark]
Mr. X speaks ______ Japanese ______ Chinese.
Q783
MCQ[2 Marks]
Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences.\nWhich one of the following is the correct logical inference based on the information in the above passage?
Q784
MCQ[2 Marks]
In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.\nStatement of P: R has copied in the exam.\nStatement of Q: S has copied in the exam.\nStatement of R: P did not copy in the exam.\nStatement of S: Only one of us is telling the truth.\nStatement of T: R is telling the truth.\nThe investigating team had authentic information that S never lies.\nBased on the information given above, the person who has copied in the exam is
Q785
MCQ[2 Marks]
Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear "lost", it was found that wallets with money are more likely to be returned than wallets without money. Similarly, wallets that had a key and money are more likely to be returned than wallets with the same amount of money alone. This suggests that the primary reason for this behavior is compassion and empathy. Which one of the following is the CORRECT logical inference based on the information in the above passage?