Q1
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.
Type:
GATE 2026 — General Aptitude
160 QuestionsQ2
MCQ[1 Mark]
If a positive real satisfies the following equation
then the value of is
Q3
MCQ[1 Mark]
The next figure (indicated by '?') in the sequence is
Q4
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?
Q5
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.
Q6
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.
Q7
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?
Q8
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 _______
Q9
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?
Q10
MCQ[2 Marks]
Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?
Q11
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.
Q12
MCQ[1 Mark]
In the sequence of tiles shown below, the missing tile indicated by the question mark should be
Q13
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?
Q14
MCQ[1 Mark]
How many 3-digit numbers can be formed using three distinct single digit prime numbers?
Q15
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 ____
Q16
MCQ[2 Marks]
Charity : P :: Retaliation : Q Choose the appropriate pair of words P and Q that fit the analogy.
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 ̅̅̅̅ ̅̅̅̅̅ = 4 cm, 𝑟2 = _____ cm. 𝑉𝑌 = 𝑉𝑊
Q21
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.
Q22
MCQ[1 Mark]
To continue the sequence of tiles shown, the tile indicated by the question mark
should be
(A)
(B)
(C)
(D)
Q23
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
Q24
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
Q25
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
Q26
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
Q27
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.
Q28
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
Q29
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
Q30
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
Q31
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.
Q32
MCQ[1 Mark]
In the sequence of tiles shown below, the missing tile indicated by the question mark should be:
Q33
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?
Q34
MCQ[1 Mark]
How many 3-digit numbers can be formed using three distinct single digit prime numbers?
Q35
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
Q36
MCQ[2 Marks]
Charity: P :: Retaliation : Q. Choose the appropriate pair of words P and Q that fit the analogy.
Q37
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?
Q38
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
Q39
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
Q40
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 =
Q41
MCQ[1 Mark]
In the sentence 'The shopkeeper sells lemons.', the word 'lemons' is the
Q42
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?
Q43
MCQ[1 Mark]
At how many points will the curves and intersect in the real plane?
Q44
MCQ[1 Mark]
Based on the given paragraph regarding Anish's match performance and captaincy, which statement is true?
Q45
MCQ[1 Mark]
Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?
Q46
MCQ[2 Marks]
Match the words in Column I with their synonyms in Column II.
Q47
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
Q48
MCQ[2 Marks]
Based on the relationship between each polygon and the number inside it, the value of 'X' is
Q49
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
Q50
MCQ[2 Marks]
P and Q are two positive integers such that . The product of the numbers P and Q is
Q51
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.
Q52
MCQ[1 Mark]
In the sequence of tiles shown below, the missing tile indicated by the question mark should be ?
Q53
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?
Q54
MCQ[1 Mark]
How many 3-digit numbers can be formed using three distinct single digit prime numbers?
Q55
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
Q56
MCQ[2 Marks]
Charity : P :: Retaliation : Q
Choose the appropriate pair of words P and Q that fit the analogy.
Q57
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?
Q58
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
Q59
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
Q60
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
Q61
MCQ[1 Mark]
The antonym of the word protagonist is
Q62
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?
Q63
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?
Q64
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
Q65
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?
Q66
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?
Q67
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?
Q68
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
Q69
MCQ[2 Marks]
In the 2020 summer Olympics' Javelin throw finals... In which round did Vitezlav Vesely have his best throw?
Q70
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
Q71
MCQ[1 Mark]
Among the following options, the antonym of the word 'nocturnal' is
Q72
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?
Q73
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?
Q74
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
Q75
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?
Q76
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?
Q77
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?
Q78
MCQ[2 Marks]
Let represent the perimeter of a square with sides of length k. The value of the expression is
Q79
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).
Q80
MCQ[2 Marks]
If
Ref Fig gîⅎ ʇǝᴚ
12 34 AꞮ εS
Then
GATE - 2026 ?
Aptitude Test
Q81
MCQ[1 Mark]
In the sentence 'The shopkeeper sells lemons.', the word 'lemons' is the
Q82
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 '?'?
Q83
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?
Q84
MCQ[1 Mark]
Based on the provided paragraph regarding Anish's match performance and captaincy, which statement is true?
Q85
MCQ[1 Mark]
Which one of the following figures P, Q, R, or S correctly shows the 45° clockwise-rotated version of figure (I)?
Q86
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
Q87
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
Q88
MCQ[2 Marks]
Based on the relationship between each polygon and the number inside it (6, 24, 120, X), the value of X is
Q89
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
Q90
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
Q91
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?
Q92
MCQ[1 Mark]
To continue the sequence of tiles shown, the tile indicated by the question mark should be
Q93
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
Q94
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?
Q95
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
Q96
MCQ[2 Marks]
Exacerbate: Mitigate ::
Choose the option with the correct pair of words to fill the blank.
Q97
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?
Q98
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
Q99
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
Q100
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.
Q101
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?
Q102
MCQ[1 Mark]
To continue the sequence of tiles shown, the tile indicated by the question mark should be
Q103
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
Q104
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?
Q105
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
Q106
MCQ[2 Marks]
Exacerbate: Mitigate :: Choose the option with the correct pair of words to fill the blank.
Q107
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?
Q108
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
Q109
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
Q110
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.
Q111
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.
Q112
MCQ[1 Mark]
If a positive real x satisfies the following equation , then the value of x is
Q113
MCQ[1 Mark]
The next figure (indicated by '?') in the sequence is
Q114
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?
Q115
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.
Q116
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.
Q117
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?
Q118
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
Q119
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?
Q120
MCQ[2 Marks]
Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?
Q121
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?
Q122
MCQ[1 Mark]
To continue the sequence of tiles shown, the tile indicated by the question mark should be
Q123
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
Q124
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?
Q125
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
Q126
MCQ[2 Marks]
Exacerbate : Mitigate :: Choose the option with the correct pair of words to fill the blank.
Q127
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?
Q128
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
Q129
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
Q130
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.
Q131
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
Q132
MCQ[1 Mark]
If a positive real satisfies the following equation , then the value of is
(A)
(B)
(C)
(D)
Q133
MCQ[1 Mark]
The next figure (indicated by '?') in the sequence is...
Q134
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.
Q135
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)
Q136
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
Q137
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
Q138
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)
Q139
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
Q140
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
Q141
MCQ[1 Mark]
Expedite, Hasten, Hurry.
Fill the blank by choosing a word with a meaning similar to that of the words given above.
Q142
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?
Q143
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?
Q144
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.
Q145
MCQ[1 Mark]
'When it is raining, peacocks dance.' Based only on this sentence, which one of the following options is necessarily true?
Q146
MCQ[2 Marks]
Water: P :: Food : Q.
Choose the P and Q combination from the options below to form a meaningful analogy.
Q147
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?
Q148
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?
Q149
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?
Q150
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
Q151
MCQ[1 Mark]
Expedite, Hasten, Hurry, ______
Fill the blank by choosing a word with a meaning similar to that of the words given above.
Q152
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?
Q153
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?
Q154
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.
Q155
MCQ[1 Mark]
'When it is raining, peacocks dance.'
Based only on this sentence, which one of the following options is necessarily true?
Q156
MCQ[2 Marks]
Water: P :: Food : Q
Choose the P and Q combination from the options below to form a meaningful analogy.
Q157
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?
Q158
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?
Q159
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?
Q160
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