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Quantitative Aptitude(29)Data Interpretation(2)Verbal Ability(14)

Quantitative Aptitude

29 Questions

GATE→2026→General Aptitude→Quantitative Aptitude

Q1

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?

(A)

(i)

(B)

(ii)

(C)

(iii)

(D)

(iv)

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q2

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?

(A)

$1/4$

(B)

$3/4$

(C)

$2/3$

(D)

$3/8$

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q3

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.

(A)

0

(B)

5

(C)

10

(D)

20

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q4

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?

(A)

(i)

(B)

(ii)

(C)

(iii)

(D)

(iv)

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q5

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?

(A)

Such a trip is possible for (i), but not for (ii).

(B)

Such a trip is possible for (ii), but not for (i).

(C)

Such a trip is possible for both (i) and (ii).

(D)

Such a trip is possible neither for (i) nor for (ii).

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q6

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

(A)

$\frac{3}{36}$

(B)

$\frac{13}{36}$

(C)

$\frac{15}{36}$

(D)

$\frac{19}{36}$

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q7

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 $25\text{ km/h}$ and car Q travels East with a speed of $30\text{ km/h}$. 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?

(A)

10

(B)

12

(C)

15

(D)

18

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q8

MCQ[1 Mark]

The ceiling function of a real number $x$, denoted by $ce(x)$, is defined as the smallest integer that is greater than or equal to $x$. Similarly, the floor function, denoted by $fl(x)$, is defined as the largest integer that is smaller than or equal to $x$. Which one of the following options is NOT correct for all possible values of $x$?

(A)

$ce(x) \ge x$

(B)

$fl(x) \le x$

(C)

$ce(x) \ge fl(x)$

(D)

$fl(x) < ce(x)$

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q9

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?

(A)

$\frac{48}{125}$

(B)

$\frac{16}{125}$

(C)

$\frac{16}{25}$

(D)

$\frac{25}{48}$

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q10

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?

(A)

5-17-1-2

(B)

17-19-13-17

(C)

13-3-1-2

(D)

19-23-17-19

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q11

MCQ[2 Marks]

The given figure is reflected about the horizontal dashed line and then rotated clockwise by $90^\circ$ about an axis perpendicular to the plane of the figure. Which one of the following options correctly shows the resultant figure?

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q12

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)?

(A)

Circle; Square; Equilateral triangle; Isosceles triangle

(B)

Isosceles triangle; Equilateral triangle; Square; Circle

(C)

Equilateral triangle; Isosceles triangle; Square; Circle

(D)

Isosceles triangle; Square; Equilateral triangle; Circle

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q13

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 $p$ be the probability that she receives job offers from both the companies. Select the most appropriate option.

(A)

$0 \le p \le 0.2$

(B)

$0.4 \le p \le 0.6$

(C)

$0.2 \le p \le 0.4$

(D)

$0.6 \le p \le 1.0$

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q14

MCQ[1 Mark]

A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error in the student's answer is 80%, the value of $q$ is

(A)

5

(B)

$\sqrt{2}$

(C)

2

(D)

$\sqrt{5}$

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q15

MCQ[1 Mark]

If the sum of the first 20 consecutive positive odd numbers is divided by $20^2$, the result is

(A)

1

(B)

20

(C)

2

(D)

$1/2$

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q16

MCQ[1 Mark]

The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is

(A)

150

(B)

200

(C)

250

(D)

175

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q17

MCQ[2 Marks]

Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder. The length of the container is equal to the length of the chalk-sticks. The ratio of the occupied space to the empty space of the container is

(A)

5/2

(B)

7/2

(C)

9/2

(D)

7/3

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q18

MCQ[2 Marks]

Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B. If viewed from direction Y, it will appear as

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q19

MCQ[2 Marks]

Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is

(A)

$120^\circ$

(B)

$60^\circ$

(C)

$90^\circ$

(D)

$180^\circ$

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q20

MCQ[1 Mark]

A 'frabjous' number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?

(A)

125

(B)

720

(C)

60

(D)

80

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q21

MCQ[1 Mark]

Which one among the following statements must be TRUE about the median of a set of scores (such as candidates appearing for GATE)?

(A)

The median is at least as large as the mean.

(B)

The mean is at least as large as the median.

(C)

At most half the candidates have a score that is larger than the median.

(D)

At most half the candidates have a score that is larger than the mean.

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q22

MCQ[1 Mark]

In the given diagram, ovals are marked at different heights ($h$) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q23

MCQ[2 Marks]

Ankita has to climb 5 stairs starting at the ground by moving either 1 or 2 stairs up at a stage without moving down. Let $F(N)$ denote the number of possible ways to reach the $N^{th}$ stair ($F(1)=1, F(2)=2, F(3)=3$). The value of $F(5)$ is

(A)

8

(B)

7

(C)

6

(D)

5

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q24

MCQ[2 Marks]

Which one of the given figures P, Q, R and S represents the graph of the function $f(x) = ||x+2| - |x-1||$?

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q25

MCQ[2 Marks]

An opaque cylinder is suspended in the path of a parallel beam of light to cast a shadow. Which of the shadow shapes P, Q, R, and S is NOT possible?

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q26

MCQ[2 Marks]

A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within the rhombus?

(A)

$\frac{1}{\sqrt{2}}$

(B)

$\frac{1}{2\sqrt{2}}$

(C)

$\sqrt{2}$

(D)

$2\sqrt{2}$

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q27

MCQ[2 Marks]

An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters (circumferences) of the equilateral triangle to square to circle?

(A)

$3\sqrt{3}:2:\sqrt{\pi}$

(B)

$3\sqrt{3}:2:\sqrt{\pi}$

(C)

$3\sqrt{3}:4:2\sqrt{\pi}$

(D)

$3\sqrt{3}:2:2\sqrt{\pi}$

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q28

MCQ[2 Marks]

Given below are three conclusions drawn based on the statements: 1. All teachers are professors. 2. No professor is a male. 3. Some males are engineers. Which conclusions can be logically inferred?

(A)

Only conclusion III is correct

(B)

Only conclusion I and conclusion II are correct

(C)

Only conclusion II and conclusion III are correct

(D)

Only conclusion I and conclusion III are correct

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q29

MCQ[2 Marks]

In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration?

(A)

11

(B)

12

(C)

144

(D)

2

Explanation

Data Interpretation

2 Questions

GATE→2026→General Aptitude→Data Interpretation

Q30

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?

(A)

(i)

(B)

(ii)

(C)

(iii)

(D)

(iv)

Explanation

GATE→2024→General Aptitude→Data Interpretation

Q31

MCQ[2 Marks]

The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?

(A)

The risk reduction on increasing the steps/day from 0 to 10000 is less than the risk reduction on increasing the steps/day from 10000 to 20000.

(B)

The risk reduction on increasing the steps/day from 0 to 5000 is less than the risk reduction on increasing the steps/day from 15000 to 20000.

(C)

For any 5000 increment in steps/day the largest risk reduction occurs on going from 0 to 5000.

(D)

For any 5000 increment in steps/day the largest risk reduction occurs on going from 15000 to 20000.

Explanation

Verbal Ability

14 Questions

GATE→2026→General Aptitude→Verbal Ability

Q32

MCQ[1 Mark]

Expedite, Hasten, Hurry, ______ Fill the blank by choosing a word with a meaning similar to that of the words given above.

(A)

Accelerate

(B)

Retard

(C)

Provide

(D)

Disable

Explanation

GATE→2026→General Aptitude→Verbal Ability

Q33

MCQ[1 Mark]

'When it is raining, peacocks dance.' Based only on this sentence, which one of the following options is necessarily true?

(A)

Peacocks dance only when it is raining.

(B)

When peacocks dance, it is raining.

(C)

When peacocks are not dancing, it is not raining.

(D)

When it is not raining, peacocks do not dance.

Explanation

GATE→2026→General Aptitude→Verbal Ability

Q34

MCQ[2 Marks]

Water: P :: Food : Q Choose the P and Q combination from the options below to form a meaningful analogy.

(A)

P = Thirst; Q = Hunger

(B)

P = Drink; Q = Hunger

(C)

P = Thirst; Q = Satiated

(D)

P = Wet; Q = Critic

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q35

MCQ[1 Mark]

Fish : Shoal :: Lion : _____ Select the correct option to complete the analogy.

(A)

Pride

(B)

School

(C)

Forest

(D)

Series

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q36

MCQ[1 Mark]

Identify the grammatically correct sentence:

(A)

It is I who am responsible for this fiasco.

(B)

It is myself who is responsible for this fiasco.

(C)

It is I who is responsible for this fiasco.

(D)

It is I who are responsible for this fiasco.

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q37

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.

(A)

$P \to Q \to R \to S$

(B)

$Q \to S \to R \to P$

(C)

$S \to Q \to P \to R$

(D)

$S \to P \to R \to Q$

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q38

MCQ[1 Mark]

If '→' denotes increasing order of intensity, then the meaning of the words [drizzle → rain → downpour] is analogous to [______ → quarrel → feud]. Which one of the given options is appropriate to fill the blank?

(A)

bicker

(B)

bog

(C)

dither

(D)

dodge

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q39

MCQ[1 Mark]

Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes. III. Some winners are heroes. Which of the above inferences can be logically deduced from statements 1 and 2?

(A)

Only I and II

(B)

Only II and III

(C)

Only I and III

(D)

Only II

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q40

MCQ[2 Marks]

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) the freedom of speech. Her writings that stand (iv)

(A)

(i) out, (ii) down, (iii) in, (iv) by

(B)

(i) down, (ii) out, (iii) by, (iv) in

(C)

(i) out, (ii) down, (iii) by, (iv) in

(D)

(i) out, (ii) in, (iii) by, (iv) down

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q41

MCQ[1 Mark]

The village was nestled in a green spot, ______ the ocean and the hills.

(A)

through

(B)

in

(C)

at

(D)

between

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q42

MCQ[1 Mark]

Disagree : Protest :: Agree : _____ (By word meaning)

(A)

Refuse

(B)

Pretext

(C)

Recommend

(D)

Refute

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q43

MCQ[2 Marks]

Residency is a housing complex where all well-established residents are academicians, and most of these academicians are authors of best-selling books. Which statement can be logically inferred with certainty?

(A)

Some residents of the complex who are well established in their fields are also authors of some best-selling books.

(B)

All academicians residing in the complex are well established in their fields.

(C)

Some authors of best-selling books are residents of the complex who are well established in their fields.

(D)

Some academicians residing in the complex are well established in their fields.

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q44

MCQ[2 Marks]

Based on the text stating that only about 2% of human DNA consists of coding regions used to produce proteins, which statement can be logically inferred with certainty?

(A)

only (i)

(B)

only (ii)

(C)

both (i) and (ii)

(D)

neither (i) nor (ii)

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q45

MCQ[2 Marks]

Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear "lost", it was found that wallets with money are more likely to be returned than wallets without money. Similarly, wallets that had a key and money are more likely to be returned than wallets with the same amount of money alone. This suggests that the primary reason for this behavior is compassion and empathy. Which one of the following is the CORRECT logical inference based on the information in the above passage?

(A)

Wallets with a key are more likely to be returned because people do not care about money

(B)

Wallets with a key are more likely to be returned because people relate to suffering of others

(C)

Wallets used in experiments are more likely to be returned than wallets that are really lost

(D)

Money is always more important than keys

Explanation