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Quantitative Aptitude(35)Data Interpretation(2)Verbal Ability(13)

Quantitative Aptitude

35 Questions

GATE→2026→General Aptitude→Quantitative Aptitude

Q1

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?

(A)

(S1) and (S2) together imply (S3)

(B)

(S1) and (S3) together imply (S2)

(C)

(S2) and (S3) together imply (S1)

(D)

(S1) implies (S3)

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q2

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?

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

Real numbers y, p, and n (all greater than 1) satisfy $(\log_{p^{1/n}}y)(\log_{y^{1/n}}p)=16$ where the logarithms are taken to the bases $p^{1/n}$ and $y^{1/n}.$ The value of n is

(A)

2

(B)

4

(C)

8

(D)

16

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q4

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?

(A)

For each student, the scores of all the other students are more than 10 marks away.

(B)

There exists at least one student in the class for whom the scores of all the other students are more than 10 marks away.

(C)

There is exactly one student in the class for whom the scores of some students are more than 10 marks away.

(D)

For each student, the score of exactly one other student is more than 10 marks away.

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q5

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?

(A)

P does not have any parent playing

(B)

Q does not have any parent playing

(C)

R does not have any parent playing

(D)

X does not have a child playing

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q6

MCQ[2 Marks]

Let $P_{k}$ represent the perimeter of a square with sides of length k. The value of the expression $P_{1}+P_{2}+P_{3}+\cdot\cdot\cdot+P_{10}$ is

(A)

55

(B)

110

(C)

220

(D)

440

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q7

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).

(A)

0.45

(B)

0.60

(C)

0.75

(D)

0.90

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q8

MCQ[1 Mark]

The 12 musical notes are given as C, $C^{\#}$, D, $D^{\#}$, E, F, $F^{\#}$, G, $G^{\#}$, A, $A^{\#}$ and B. Frequency of each note is $\sqrt[12]{2}$ 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 $F^{\#}$ and C is:

(A)

$\sqrt[6]{2}$

(B)

$\sqrt{2}$

(C)

$\sqrt[4]{2}$

(D)

2

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q9

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.

(A)

$(\frac{5}{3})^{\frac{n}{2}}$

(B)

$(\frac{5}{3})^{n}$

(C)

$(\frac{5}{3})$

(D)

$(\frac{5}{3})^{n(2n-1)}$

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q10

MCQ[1 Mark]

Which one of the following plots represents $f(x) = -\frac{|x|}{x}$, where x is a non-zero real number? Note: The figures shown are representative.

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q11

MCQ[2 Marks]

A stick of length one meter is broken at two locations at distances of $b_{1}$ and $b_{2}$ from the origin (0), as shown in the figure. Note that $0 < b_{1} < b_{2} < 1$. 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.

(A)

$b_{1} < 0.5$

(B)

$b_{2} > 0.5$

(C)

$b_{2} < b_{1} + 0.5$

(D)

$b_{1} + b_{2} < 1$

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q12

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 $1^{st}$ round, $4^{th}$ student behind P leaves the game. After $2^{nd}$ round, $5^{th}$ student behind Q leaves the game. After $3^{rd}$ round, $3^{rd}$ student behind V leaves the game. After $4^{th}$ round, $4^{th}$ student behind U leaves the game. Who all are left in the game after the $4^{th}$ round? Note: The figure shown is representative.

(A)

P; T; Q; S

(B)

V; P; T; Q

(C)

W; R; Q;

(D)

Q; T; V; W

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q13

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?

(A)

7,01,438

(B)

7,24,961

(C)

7,51,232

(D)

7,75,784

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q14

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?

(A)

P and T

(B)

P and S

(C)

T and Q

(D)

T and [Option D text]

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q15

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?

(A)

28 years

(B)

30 years

(C)

35 years

(D)

32 years

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q16

MCQ[1 Mark]

For a real number $x > 1$, $\frac{1}{\log_2 x} + \frac{1}{\log_3 x} + \frac{1}{\log_4 x} = 1$. The value of $x$ is

(A)

3

(B)

11

(C)

24

(D)

12

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q17

MCQ[1 Mark]

The greatest prime factor of $(3^{199} - 3^{196})$ is

(A)

13

(B)

17

(C)

3

(D)

11

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q18

MCQ[2 Marks]

Four identical cylindrical chalk-sticks, each of radius $r = 0.5$ cm and length $l = 10$ 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 $\text{cm}^2$) of the duct tape required to wrap the bundle of chalk-sticks once, is

(A)

$20(4+\pi)$

(B)

$20(8+\pi)$

(C)

$10(8+\pi)$

(D)

$10(4+\pi)$

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q19

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

(A)

62.5

(B)

Option B

(C)

Option C

(D)

6.25

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q20

MCQ[2 Marks]

Two identical sheets A and B, of dimensions $24 \text{ cm} \times 16 \text{ cm}$, 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

(A)

14:11

(B)

11:14

(C)

18:11

(D)

11:18

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q21

MCQ[1 Mark]

What is the smallest number with distinct digits whose digits add up to 45?

(A)

123555789

(B)

123457869

(C)

123456789

(D)

99999

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q22

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?

(A)

40

(B)

20

(C)

60

(D)

30

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q23

MCQ[1 Mark]

How many rectangles are present in the given figure?

(A)

8

(B)

9

(C)

10

(D)

12

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q24

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?

(A)

All creatures with claws are animals.

(B)

Some creatures with claws are non-ferocious.

(C)

Some non-ferocious creatures have claws.

(D)

Some ferocious creatures are creatures with claws.

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q25

MCQ[2 Marks]

Which one of the following options represents the given graph?

(A)

$f(x) = x^2 2^{-|x|}$

(B)

$f(x) = x 2^{-|x|}$

(C)

$f(x) = |x| 2^{-x}$

(D)

$f(x) = x 2^{-x}$

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q26

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.

(A)

700

(B)

600

(C)

800

(D)

1000

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q27

MCQ[2 Marks]

A $100 \text{ cm} \times 32 \text{ cm}$ 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 $100 \text{ cm} \times 1 \text{ cm}$. The total number of creases visible when the sheet is unfolded is

(A)

32

(B)

5

(C)

31

(D)

63

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q28

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 ₹)?

(A)

500

(B)

1000

(C)

1500

(D)

2000

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q29

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, $PQ = 11$ cm, $QR = 4$ cm, $RS = 6$ cm and $SP = 3$ cm. What is the shortest distance between PQ and SR (in cm)?

(A)

1.80

(B)

2.40

(C)

4.20

(D)

5.76

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q30

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 $4 \times 4$ grid using the unit squares as building blocks?

(A)

15

(B)

20

(C)

21

(D)

26

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q31

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.

(A)

P and Q

(B)

Q

(C)

Q and S

(D)

R and S

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q32

MCQ[2 Marks]

Consider the following inequalities: (i) $2x - 1 > 7$ (ii) $2x - 9 < 1$ Which one of the following expressions below satisfies the above two inequalities?

(A)

$x \le -4$

(B)

$-4 < x \le 4$

(C)

$4 < x < 5$

(D)

$x \ge 5$

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q33

MCQ[2 Marks]

Four points $P(0,1)$, $Q(0,-3)$, $R(-2,-1)$, and $S(2,-1)$ represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral?

(A)

4

(B)

$4\sqrt{2}$

(C)

8

(D)

$8\sqrt{2}$

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q34

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

(A)

R

(B)

P

(C)

Q

(D)

T

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q35

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?

(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

Explanation

Data Interpretation

2 Questions

GATE→2025→General Aptitude→Data Interpretation

Q36

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

(A)

France will occupy the third place if the list were made on the basis of the total number of medals won.

(B)

The order of the top two nations will not change even if the list is made on the basis of the total number of medals won.

(C)

USA and Canada together have less than 50% of the medals awarded to the nations in the above table.

(D)

Canada has won twice as many total medals as Japan.

Explanation

GATE→2024→General Aptitude→Data Interpretation

Q37

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?

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

Verbal Ability

13 Questions

GATE→2026→General Aptitude→Verbal Ability

Q38

MCQ[1 Mark]

Among the following options, the antonym of the word 'nocturnal' is

(A)

normal

(B)

diurnal

(C)

abnormal

(D)

exceptional

Explanation

GATE→2026→General Aptitude→Verbal Ability

Q39

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?

(A)

CHIN

(B)

COIN

(C)

ITCH

(D)

NOSE

Explanation

GATE→2026→General Aptitude→Verbal Ability

Q40

MCQ[2 Marks]

If Ref Fig $\rightarrow$ gîⅎ ʇǝᴚ 12 34 $\rightarrow$ AꞮ εS Then GATE - 2026 $\rightarrow$ ? Aptitude Test

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q41

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

(A)

Extol

(B)

Prize

(C)

Appropriate

(D)

Espouse

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q42

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.

(A)

will be

(B)

can

(C)

am going to be

(D)

could have been

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q43

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.

(A)

$P \rightarrow Q \rightarrow R \rightarrow S$

(B)

$Q \rightarrow S \rightarrow R \rightarrow P$

(C)

$R \rightarrow S \rightarrow Q \rightarrow P$

(D)

$S \rightarrow P \rightarrow R \rightarrow Q$

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q44

MCQ[1 Mark]

If '$\rightarrow$' denotes increasing order of intensity, then the meaning of the words [charm $\rightarrow$ enamor $\rightarrow$ bewitch] is analogous to [bored $\rightarrow$ ______ $\rightarrow$ weary]. Which one of the given options is appropriate to fill the blank?

(A)

jaded

(B)

baffled

(C)

dead

(D)

worsted

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q45

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.

(A)

SPRQ

(B)

SRPQ

(C)

RSPQ

(D)

QPRS

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q46

MCQ[1 Mark]

"I cannot support this proposal. My _______ will not permit it."

(A)

conscious

(B)

consensus

(C)

conscience

(D)

consent

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q47

MCQ[1 Mark]

Courts : Judiciary :: Parliament : Legislature (By word meaning)

(A)

Judiciary

(B)

Executive

(C)

Governmental

(D)

Legal

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q48

MCQ[2 Marks]

Which one of the following options can be inferred from the given passage alone?

(A)

It is a child's description of what he or she likes.

(B)

It is an adult's memory of what he or she liked as a child.

(C)

The child in the passage read stories about interplanetary travel only in parts.

(D)

It teaches us that stories are good for children.

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q49

MCQ[1 Mark]

Mr. X speaks ________ Japanese ________ Chinese.

(A)

neither/or

(B)

either/nor

(C)

neither / nor

(D)

also / but

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q50

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?

(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

Explanation