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Quantitative Aptitude(32)Data Interpretation(4)Verbal Ability(15)

Quantitative Aptitude

32 Questions

GATE→2026→General Aptitude→Quantitative Aptitude

Q1

MCQ[1 Mark]

If a positive real x satisfies the following equation $\log_{2}x+\log_{\sqrt{2}}x=48$, then the value of x is

(A)

2^{16}

(B)

4^{16}

(C)

2^{14}

(D)

4^{14}

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

The next figure (indicated by '?') in the sequence is

(A)

a

(B)

b

(C)

c

(D)

d

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q3

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.

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q4

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.

(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)

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q5

MCQ[2 Marks]

Consider a string P of length $l$ 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 $x$ 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 $x/l$ is

(A)

\pi

(B)

\frac{\pi-1}{2\pi}

(C)

\frac{\pi}{2(\pi-1)}

(D)

\frac{\pi}{\pi-1}

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q6

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?

(A)

Meritorius

(B)

Meritorius' brother

(C)

Meritorius' son

(D)

Meritorius' daughter

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q8

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 $25~km/h$ and car Q travels East with a speed of $30~km/h$. 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

Q9

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 statements 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

Q10

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

Q11

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

Q12

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?\nNote: The figures shown are representative.

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q13

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

Q14

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

Q15

MCQ[1 Mark]

Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}

(A)

21

(B)

37

(C)

17

(D)

23

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q16

MCQ[1 Mark]

In the following series, identify the number that needs to be changed to form the Fibonacci series. 1, 1, 2, 3, 6, 8, 13, 21, ...

(A)

8

(B)

21

(C)

6

(D)

13

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q17

MCQ[1 Mark]

The real variables $x, y, z$, and the real constants $p, q, r$ satisfy $$\frac{x}{pq-r^{2}}=\frac{y}{qr-p^{2}}=\frac{z}{rp-q^{2}}$$\nGiven that the denominators are non-zero, the value of $px+qy+rz$ is

(A)

0

(B)

p+q+r

(C)

pqr

(D)

p^{2}+q^{2}+r^{2}

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q18

MCQ[1 Mark]

Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has $1/4$ probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw. If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?

(A)

3/8

(B)

1/8

(C)

1/16

(D)

3/16

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q19

MCQ[2 Marks]

Sets A, B, C ... [Note: Official Key marked this as MTA (Marks To All)]

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q20

MCQ[2 Marks]

A planar rectangular paper has two V-shaped pieces attached as shown below. This piece of paper is folded to make the following closed three-dimensional object. The number of folds required to form the above object is

(A)

8

(B)

6

(C)

4

(D)

5

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q21

MCQ[2 Marks]

Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is [Note: Official Key marked this as MTA (Marks To All)]

(A)

30^{\circ}

(B)

60^{\circ}

(C)

45^{\circ}

(D)

90^{\circ}

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q22

MCQ[1 Mark]

The minute-hand and second-hand of a clock cross each other _____ times between 09:15:00 AM and 09:45:00 AM on a day.

(A)

30

(B)

15

(C)

29

(D)

31

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q23

MCQ[1 Mark]

The symbols $\bigcirc$, $*$, $\square$, and $\Delta$ are to be filled, one in each box, as shown below.\nThe rules for filling in the four symbols are as follows: 1) Every row and every column must contain each of the four symbols. 2) Every $2\times 2$ square delineated by bold lines must contain each of the four symbols.\nWhich symbol will occupy the box marked with '?' in the partially filled figure?

(A)

*

(B)

\bigcirc

(C)

\square

(D)

\Delta

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q24

MCQ[2 Marks]

Consider the following inequalities $$p^{2}-4q<4$$ $$3p+2q<6$$\nwhere $p$ and $q$ are positive integers.\nThe value of $(p+q)$ is

(A)

2

(B)

1

(C)

3

(D)

4

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q25

MCQ[2 Marks]

How many pairs of sets (S, T) are possible among the subsets of {1, 2, 3, 4, 5, 6} that satisfy the condition that S is a subset of T?

(A)

729

(B)

728

(C)

665

(D)

664

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q26

MCQ[2 Marks]

An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q27

NAT[2 Marks]

The smallest perimeter that a rectangle with area of $4$ square units can have is ____ units. (Answer in integer)

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q28

MCQ[1 Mark]

The average of the monthly salaries of M, N and S is ₹ 4000. The average of the monthly salaries of N, S and P is ₹ 5000. The monthly salary of P is ₹ 6000. What is the monthly salary of M as a percentage of the monthly salary of P? (A) 50% (B) 75% (C) 100% (D) 125%

(A)

50%

(B)

75%

(C)

100%

(D)

125%

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q29

MCQ[1 Mark]

A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform speed of 18 kmph. What percentage of the total distance is travelled at a uniform speed of 10 kmph? (A) 28.25 (B) 37.25 (C) 43.75 (D) 50.00

(A)

28.25

(B)

37.25

(C)

43.75

(D)

50.00

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q30

MCQ[2 Marks]

A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within the rhombus? (A) 1 √2 (B) 1 2√2 (C) √2 (D) 2√2

(A)

1 √2

(B)

1 2√2

(C)

√2

(D)

2√2

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q31

MCQ[2 Marks]

An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters of the equilateral triangle to square to circle? (A) 3√3 ∶2 ∶√𝜋 (B) ට൫3 √3൯: 2 ∶√𝜋 (C) ට൫3 √3൯: 4 ∶2√𝜋 (D) ට൫3 √3൯: 2 ∶2√𝜋

(A)

3√3 ∶2 ∶√𝜋

(B)

ට൫3 √3൯: 2 ∶√𝜋

(C)

ට൫3 √3൯: 4 ∶2√𝜋

(D)

ට൫3 √3൯: 2 ∶2√𝜋

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q32

MCQ[2 Marks]

In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a day to 3 AM the next day? (A) 11 (B) 12 (C) 144 (D) 2

(A)

11

(B)

12

(C)

144

(D)

2

Explanation

Data Interpretation

4 Questions

GATE→2026→General Aptitude→Data Interpretation

Q33

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?

(A)

40

(B)

50

(C)

60

(D)

70

Explanation

GATE→2024→General Aptitude→Data Interpretation

Q34

MCQ[2 Marks]

The bar chart gives the batting averages of VK and RS for 11 calendar years from 2012 to 2022. Considering that 2015 and 2019 are world cup years, which one of the following options is true?

(A)

RS has a higher yearly batting average than that of VK in every world cup year.

(B)

VK has a higher yearly batting average than that of RS in every world cup year.

(C)

VK's yearly batting average is consistently higher than that of RS between the two world cup years (2016 to 2018).

(D)

RS's yearly batting average is consistently higher than that of VK in the last three years.

Explanation

GATE→2023→General Aptitude→Data Interpretation

Q35

MCQ[1 Mark]

A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III?

(A)

22.7

(B)

23.7

(C)

15.0

(D)

66.8

Explanation

GATE→2022→General Aptitude→Data Interpretation

Q36

MCQ[1 Mark]

A block with a trapezoidal cross-section is placed over a block with rectangular cross section as shown above. Which one of the following is the correct drawing of the view of the 3D object as viewed in the direction indicated by an arrow in the above figure? (A) (B) (C) (D)

(A)

a

(B)

b

(C)

c

(D)

d

Explanation

Verbal Ability

15 Questions

GATE→2026→General Aptitude→Verbal Ability

Q37

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.

(A)

score; despite

(B)

scoring; instead of

(C)

scored; despite

(D)

scoring; in spite of

Explanation

GATE→2026→General Aptitude→Verbal Ability

Q38

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.

(A)

an; a; at; and

(B)

a; an; and; at

(C)

and; a; an; at

(D)

at; a; an; and

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q39

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

Q40

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

Q41

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.

(A)

P \rightarrow Q \rightarrow R \rightarrow S

(B)

Q \rightarrow S \rightarrow R \rightarrow P

(C)

S \rightarrow Q \rightarrow P \rightarrow R

(D)

S \rightarrow P \rightarrow R \rightarrow Q

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q42

MCQ[1 Mark]

If '$\rightarrow$' denotes increasing order of intensity, then the meaning of the words [smile $\rightarrow$ giggle $\rightarrow$ laugh] is analogous to [disapprove $\rightarrow$ chide $\rightarrow$ ___]. Which one of the given options is appropriate to fill the blank?

(A)

reprove

(B)

praise

(C)

reprise

(D)

grieve

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q43

MCQ[2 Marks]

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. \nProf. P **(i)** merely a man who narrated funny stories. **(ii)** in his blackest moments was he able to find humor. Prof. Q **(iii)** a man who hardly narrated funny stories. **(iv)** in his blackest moments he was capable of self-deprecating humor.

(A)

(i) was, (ii) Only

(B)

(i) wasn't, (ii) Even

(C)

(i) was, (ii) Even

(D)

(i) wasn't, (ii) Only

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q44

MCQ[1 Mark]

He did not manage to fix the car himself, so he _____ in the garage.

(A)

got it fixed

(B)

getting it fixed

(C)

gets fixed

(D)

got fixed

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q45

MCQ[1 Mark]

Planting : Seed :: Raising : _____ (By word meaning)

(A)

Child

(B)

Temperature

(C)

Height

(D)

Lift

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q46

MCQ[2 Marks]

In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi's friends at school were hardworking and kind too. But the teachers drew attention to Ravi's complete lack of interest in sports. The teachers believed that, along with some of his friends who showed similar disinterest in sports, Ravi needed to engage in some sports for his overall development. \nBased only on the information provided above, which one of the following statements can be logically inferred with certainty?

(A)

All of Ravi's friends are hardworking and kind.

(B)

No one who is not a friend of Ravi is hardworking and kind.

(C)

None of Ravi's friends are interested in sports.

(D)

Some of Ravi's friends are hardworking and kind.

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q47

MCQ[2 Marks]

Which one of the sentence sequences in the given options creates a coherent narrative? (i) I could not bring myself to knock. (ii) There was a murmur of unfamiliar voices coming from the big drawing room and the door was firmly shut. (iii) The passage was dark for a bit, but then it suddenly opened into a bright kitchen. (iv) I decided I would rather wander down the passage.

(A)

(iv), (i), (iii), (ii)

(B)

(iii), (i), (ii), (iv)

(C)

(ii), (i), (iv), (iii)

(D)

(i), (iii), (ii), (iv)

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q48

MCQ[1 Mark]

After playing _________ hours of tennis, I am feeling _________ tired to walk back. (A) too / too (B) too / two (C) two / two (D) two / too

(A)

too / too

(B)

too / two

(C)

two / two

(D)

two / too

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q49

MCQ[1 Mark]

Four girls P, Q, R and S are studying languages in a University. P is learning French and Dutch. Q is learning Chinese and Japanese. R is learning Spanish and French. S is learning Dutch and Japanese. Given that: French is easier than Dutch; Chinese is harder than Japanese; Dutch is easier than Japanese, and Spanish is easier than French. Based on the above information, which girl is learning the most difficult pair of languages? (A) P (B) Q (C) R (D) S

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q50

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

(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

GATE→2022→General Aptitude→Verbal Ability

Q51

MCQ[2 Marks]

Given below are three conclusions drawn based on the following three statements. Statement 1: All teachers are professors. Statement 2: No professor is a male. Statement 3: Some males are engineers. Conclusion I: No engineer is a professor. Conclusion II: Some engineers are professors. Conclusion III: No male is a teacher. Which one of the following options can be logically inferred? (A) Only conclusion III is correct (B) Only conclusion I and conclusion II are correct (C) Only conclusion II and conclusion III are correct (D) Only conclusion I and conclusion III are correct

(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