Q1
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:
Type:
GATE 2025 — General Aptitude
150 QuestionsQ2
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.
Q3
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:
Q4
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.
Q5
MCQ[1 Mark]
Which one of the following plots represents , where is a non-zero real number?
Note: The figures shown are representative.
Q6
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.
Q7
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.
Q8
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.
Q9
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 |
Q10
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?
Q11
MCQ[1 Mark]
Courage : Bravery :: Yearning : __________ Select the most appropriate option to complete the analogy.
Q12
MCQ[1 Mark]
We __________ tennis in the lawn when it suddenly started to rain. Select the most appropriate option to complete the above sentence.
Q13
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:
Q14
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 ?
Q15
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?
Q16
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.
Q17
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?
Q18
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.
Q19
MCQ[2 Marks]
If a real variable 𝑥 satisfies 3𝑥2 = 27 × 9𝑥, then the value of 2𝑥2 (2𝑥)2 is:
Q20
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.
Q21
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.
Q22
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.
Q23
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?
Q24
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?
Q25
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.
Q26
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?
Q27
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?
Q28
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?
Q29
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.
Q30
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?
Q31
MCQ[1 Mark]
Is there any good show ____ television tonight? Select the most appropriate option to complete the above sentence.
Q32
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.
Q33
MCQ[1 Mark]
The sum of the following infinite series is:
Q34
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?
Q35
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?
Q36
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?
Q37
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?
Q38
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?
Q39
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:
Q40
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?
Q41
MCQ[1 Mark]
Is there any good show ___ television tonight?
Q42
MCQ[1 Mark]
As the police officer was found guilty of embezzlement, he was ___ dismissed from the service in accordance with the Service Rules.
Q43
MCQ[1 Mark]
The sum of the following infinite series is:
Q44
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?
Q45
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?
Q46
MCQ[2 Marks]
Based on Hilaire Belloc's 'The Crooked Streets' passage, which one of the statements is true?
Q47
MCQ[2 Marks]
Rohit enters a restaurant at 1 PM when clock hands coincide, and leaves when they coincide again. Time spent is
Q48
MCQ[2 Marks]
Color model Venn diagram relationship analysis. Which option displays consistent color codes?
Q49
MCQ[2 Marks]
A circle with center and radius intersects another circle with center and radius . One intersection point is
Q50
MCQ[2 Marks]
Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?
Q51
MCQ[1 Mark]
Is there any good show [blank] television tonight? Select the most appropriate option to complete the above sentence.
Q52
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.
Q53
MCQ[1 Mark]
The sum of the following infinite series is:
Q54
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?
Q55
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?
Q56
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?
Q57
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?
Q58
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?
Q59
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:
Q60
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?
Q61
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.
Q62
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.
Q63
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?
Q64
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?
Q65
MCQ[1 Mark]
According to the map shown in the figure, which one of the following statements is correct?
Q66
MCQ[2 Marks]
Based only on the information provided in the passage, which one of the following statements is true?
Q67
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?
Q68
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?
Q69
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?
Q70
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?
Q71
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
Q72
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.
Q73
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:
Q74
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.
Q75
MCQ[1 Mark]
Which one of the following plots represents , where x is a non-zero real number?
Note: The figures shown are representative.
Q76
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.
Q77
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.
Q78
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.
Q79
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
Q80
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?
Q81
MCQ[1 Mark]
Kavya didn't go to work yesterday as she ... feeling well. Select the most appropriate option to complete the sentence.
Q82
MCQ[1 Mark]
Good : Evil :: Genuine : ... Select the most appropriate option to complete the analogy.
Q83
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.
Q84
MCQ[1 Mark]
Match the items in Column-I (such as Animals, Zebra, Giraffe) with the appropriate Venn diagram representations in Column-II.
Q85
MCQ[1 Mark]
What is the value of ((3^81) / (27^4))^(1/3)?
Q86
MCQ[2 Marks]
Identify the correct sentence sequence to form a coherent paragraph about tigers and deer hunting.
Q87
MCQ[2 Marks]
In the given circular coded figure where EF = 30 and HJ = 80, find the appropriate values for entries (i) and (ii).
Q88
MCQ[2 Marks]
Based on the course scores of students P and Q given in the table, which statement is INCORRECT?
Q89
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.
Q90
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?
Q91
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.
Q92
MCQ[1 Mark]
Bird : Nest :: Bee : _____ Select the correct option to complete the analogy.
Q93
MCQ[1 Mark]
If for all real values of x, which one of the following statements is true?
Q94
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?
Q95
MCQ[1 Mark]
Let and denote two arbitrary prime numbers. Which one of the following statements is correct for all values of and ?
Q96
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.
Q97
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 ?
Q98
MCQ[2 Marks]
Which one of the following options is correct for the given data in the table?
Q99
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?
Q100
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?
Q101
MCQ[1 Mark]
Fish : Shoal :: Lion : _____. Select the correct option to complete the analogy.
Q102
MCQ[1 Mark]
Identify the grammatically correct sentence:
Q103
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?
Q104
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?
Q105
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?
Q106
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.
Q107
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?
Q108
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.
Q109
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)?
Q110
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.
Q111
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.
Q112
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.
Q113
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?
Q114
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?
Q115
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?
Q116
MCQ[2 Marks]
Based only on the information provided in the passage, which one of the following statements is true?
Q117
MCQ[2 Marks]
For the clock shown in the figure, if , and , then which one among the given options is most appropriate for ?
Q118
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:
Q119
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)?
Q120
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?
Q121
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
Q122
MCQ[1 Mark]
Bird : Nest :: Bee : _______\nSelect the correct option to complete the analogy.
(A) Kennel
(B) Hammock
(C) Hive
(D) Lair
Q123
MCQ[1 Mark]
If for all real values of , which one of the following statements is true?
(A)
(B)
(C)
(D)
Q124
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?
Q125
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.
Q126
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.
Q127
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
Q128
MCQ[2 Marks]
Which one of the following options is correct for the given data in the table?
(A) ; ;
(B) ; ;
(C) ; ;
(D) ; ;
Q129
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
Q130
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
Q131
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.
Q132
MCQ[1 Mark]
Bird : Nest :: Bee : ______\nSelect the correct option to complete the analogy.
Q133
MCQ[1 Mark]
If for all real values of x, which one of the following statements is true?
Q134
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.
Q135
MCQ[1 Mark]
Let and denote two arbitrary prime numbers. Which one of the following statements is correct for all values of and ?
Q136
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.
Q137
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 ?
Q138
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
Q139
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.
Q140
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.
Q141
MCQ[1 Mark]
Fish : Shoal :: Lion : _____
Select the correct option to complete the analogy.
Q142
MCQ[1 Mark]
Identify the grammatically correct sentence:
Q143
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?
Q144
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 ?
Q145
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?
Q146
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.
Q147
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?
Q148
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?
Q149
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)?
Q150
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.