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Quantitative Aptitude(34)Verbal Ability(15)

Quantitative Aptitude

34 Questions

GATE→2026→General Aptitude→Quantitative Aptitude

Q1

MCQ[1 Mark]

The figure below is supposed to show three non-overlapping shapes - one oval and two triangles. Which one of the following figures P, Q, R, or S fits the missing portion indicated by '?' and completes the oval and the two triangles?

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

At how many points will the curves $y = x^2$ and $y = -x^2 - 2x - 1$ intersect in the real $(x, y)$ plane?

(A)

0

(B)

1

(C)

2

(D)

3

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q4

MCQ[2 Marks]

In the given figure, $\overline{PQ}$ is the diameter of a circle with center $O$. Two points $R$ and $S$ are chosen on the circle such that $\angle ROS = 80^{\circ}$. When $\overline{PR}$ and $\overline{QS}$ are extended, they meet at $T$. The value of $\angle RTS$ is

(A)

40°

(B)

50°

(C)

60°

(D)

80°

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q5

MCQ[2 Marks]

Based on the relationship between each polygon and the number inside it, the value of 'X' is

(A)

720

(B)

596

(C)

24

(D)

240

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q6

MCQ[2 Marks]

Consider a linear arrangement of seven bulbs under specified state change rules. The number of bulbs which are ON at the end of Step 8 is

(A)

5

(B)

4

(C)

3

(D)

0

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

P and Q are two positive integers such that $P^2 = Q^2 + 13$. The product of the numbers P and Q is

(A)

13

(B)

26

(C)

39

(D)

42

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q8

MCQ[1 Mark]

The sum of the following infinite series is: $\frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + \dots$

(A)

\pi

(B)

1+e

(C)

e-1

(D)

e

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q9

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?

(A)

3

(B)

6

(C)

9

(D)

12

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q10

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?

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q11

MCQ[2 Marks]

Rohit enters a restaurant at 1 PM when clock hands coincide, and leaves when they coincide again. Time spent is

(A)

64 6/11

(B)

66 5/13

(C)

65 5/11

(D)

66 6/13

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q12

MCQ[2 Marks]

Color model Venn diagram relationship analysis. Which option displays consistent color codes?

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q13

MCQ[2 Marks]

A circle with center $(0.5, 0)$ and radius $0.5$ intersects another circle with center $(1, 1)$ and radius $1$. One intersection point is

(A)

(0,0)

(B)

(0.2, 0.4)

(C)

(0.5, 0.5)

(D)

(1,2)

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q14

MCQ[2 Marks]

Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q15

MCQ[1 Mark]

In a locality, houses are numbered with consecutive odd integers starting from 301 on one side and consecutive even integers starting from 302 on the other. If the difference of the sum of house-numbers between the two sides is 27, the number of houses on each side is

(A)

27

(B)

52

(C)

54

(D)

26

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q16

MCQ[1 Mark]

For positive integers $p$ and $q$, with $\frac{p}{q} \neq 1$, $(\frac{p}{q})^{\frac{p}{q}} = p^{(\frac{p}{q}-1)}$. Then,

(A)

q^p = p^q

(B)

q^p = p^(2q)

(C)

sqrt(q) = sqrt(p)

(D)

p-th root of q = q-th root of p

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q17

MCQ[1 Mark]

Which one of the given options is a possible value of $x$ in the following sequence? 3, 7, 15, $x$, 63, 127, 255

(A)

35

(B)

40

(C)

45

(D)

31

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q18

MCQ[1 Mark]

On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?

(A)

51

(B)

49

(C)

50

(D)

55

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q19

MCQ[2 Marks]

Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique arrangements such that each person sits next to their twin:

(A)

12

(B)

14

(C)

10

(D)

28

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q20

MCQ[2 Marks]

Using the provided power generation chart and capacity factor formula, which technology has the highest Capacity Factor?

(A)

T1

(B)

T2

(C)

T3

(D)

T4

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q21

MCQ[2 Marks]

In the $4 \times 4$ array shown, each cell represents the count of neighboring crosses. The maximum number of crosses possible in the empty column is

(A)

0

(B)

1

(C)

2

(D)

3

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q22

MCQ[2 Marks]

During half-moon phase, Earth-Moon-Sun form a right triangle. If Moon-Earth-Sun angle is $89.85^{\circ}$, the ratio of Earth-Sun to Earth-Moon distances is closest to

(A)

328

(B)

382

(C)

238

(D)

283

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q23

MCQ[1 Mark]

Eject : Insert :: Advance : ___ (By word meaning)

(A)

Advent

(B)

Progress

(C)

Retreat

(D)

Loan

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q24

MCQ[1 Mark]

In the given figure, PQRSTV is a regular hexagon with each side of length 5 cm. A circle is drawn with its centre at V passing through P. What is the area (in $\text{cm}^2$) of the shaded region?

(A)

25\pi/3

(B)

20\pi/3

(C)

6\pi

(D)

7\pi

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q25

MCQ[1 Mark]

Minimum number of boxes that must be colored black to achieve two lines of symmetry in the given grid structure.

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q26

MCQ[2 Marks]

Which option can be inferred about the mean, median, and mode for the given symmetric probability distribution P(x)?

(A)

mean = median = mode

(B)

mean < median < mode

(C)

mean > median = mode

(D)

mean < mode = median

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q27

MCQ[2 Marks]

Let $a = 30!$, $b = 50!$, and $c = 100!$. Which inequality for logarithmic values is CORRECT?

(A)

log_c a < log_b a < log_a b < log_a c

(B)

log_c a < log_a b < log_b a < log_b c

(C)

log_c a < log_b a < log_a c < log_a b

(D)

log_b a < log_c a < log_a b < log_a c

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q28

MCQ[2 Marks]

A square of side 4 cm with a top semi-circle and two bottom circular arcs of radius 2 cm. The area of the shaded region is

(A)

8

(B)

4

(C)

12

(D)

10

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q29

MCQ[1 Mark]

Two straight lines pass through the origin $(0,0)$. One of them passes through $(1,3)$ and the other through $(1,2)$. What is the area enclosed between the straight lines in the interval $[0, 1]$ on the x-axis?

(A)

0.5

(B)

1.0

(C)

1.5

(D)

2.0

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q30

MCQ[1 Mark]

If $p:q = 1:2$, $q:r = 4:3$, $r:s = 4:5$ and $u$ is 50% more than $s$, what is the ratio $p:u$?

(A)

2:15

(B)

16:15

(C)

1:5

(D)

16:45

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q31

MCQ[1 Mark]

Relation among the areas of the squares PXWR, RUVZ and SPQT based on the tangential properties of the circle with center R.

(A)

Area of SPQT = Area of RUVZ = Area of PXWR

(B)

Area of SPQT = Area of PXWR - Area of RUVZ

(C)

Area of PXWR = Area of SPQT - Area of RUVZ

(D)

Area of PXWR = Area of RUVZ - Area of SPQT

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q32

MCQ[2 Marks]

P invested 5000 per month for 6 months and Q invested $x$ per month for 8 months. If Q receives $4/9$ of total profit, what is the value of $x$?

(A)

2500

(B)

3000

(C)

4687

(D)

8437

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q33

MCQ[2 Marks]

From the frequency distribution chart of student marks, which one of the following is CORRECT?

(A)

mean > mode > median

(B)

mode > median > mean

(C)

mode > mean > median

(D)

median > mode > mean

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q34

MCQ[2 Marks]

Grid movement path puzzle from P2 to P5 following knight-like step constraints without occupying shaded squares. Minimum steps required is

(A)

4

(B)

5

(C)

6

(D)

7

Explanation

Verbal Ability

15 Questions

GATE→2026→General Aptitude→Verbal Ability

Q35

MCQ[1 Mark]

In the sentence 'The shopkeeper sells lemons.', the word 'lemons' is the

(A)

object

(B)

subject

(C)

predicate

(D)

verb

Explanation

GATE→2026→General Aptitude→Verbal Ability

Q36

MCQ[1 Mark]

Based on the given paragraph regarding Anish's match performance and captaincy, which statement is true?

(A)

Anish made hundred runs but was denied captaincy.

(B)

Anish was the captain of his team before the game today.

(C)

The current captain is older than Anish.

(D)

Anish is the youngest player in his team.

Explanation

GATE→2026→General Aptitude→Verbal Ability

Q37

MCQ[2 Marks]

Match the words in Column I with their synonyms in Column II.

(A)

(i)-(q); (ii)-(p); (iii)-(s); (iv)-(r)

(B)

(i)-(q); (ii)-(s); (iii)-(r); (iv)-(p)

(C)

(i)-(s); (ii)-(p); (iii)-(q); (iv)-(r)

(D)

(i)-(r); (ii)-(s); (iii)-(p); (iv)-(q)

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q38

MCQ[1 Mark]

Is there any good show ___ television tonight?

(A)

in

(B)

at

(C)

within

(D)

on

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q39

MCQ[1 Mark]

As the police officer was found guilty of embezzlement, he was ___ dismissed from the service in accordance with the Service Rules.

(A)

sumptuously

(B)

unintentionally

(C)

summarily

(D)

IT Roorkee

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q40

MCQ[2 Marks]

Based on Hilaire Belloc's 'The Crooked Streets' passage, which one of the statements is true?

(A)

The author of the passage takes delight in wondering.

(B)

The wealthier nations are pulling down the crooked streets in their capitals.

(C)

In the past, crooked streets were only built on islands.

(D)

Great broad ways are needed to protect commerce and history.

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q41

MCQ[1 Mark]

If '→' denotes increasing order of intensity, then the meaning of the words [simmer → seethe → smolder] is analogous to [break → raze → ___].

(A)

obfuscate

(B)

obliterate

(C)

fracture

(D)

fissure

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q42

MCQ[2 Marks]

Select the best grammatical match for blanks (i) to (iv) in the provided athletic text passage.

(A)

(i) hold, (ii) waits, (iii) culminates, (iv) pivot

(B)

(i) holds, (ii) wait, (iii) culminates, (iv) pivot

(C)

(i) hold, (ii) wait, (iii) culminate, (iv) pivots

(D)

(i) holds, (ii) waits, (iii) culminate, (iv) pivots

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q43

MCQ[1 Mark]

"I have not yet decided what I will do this evening; I ___ visit a friend."

(A)

mite

(B)

would

(C)

might

(D)

didn't

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q44

MCQ[1 Mark]

A duck named Donald Duck says "All ducks always lie." Based on this, which statement can be logically inferred with certainty?

(A)

Donald Duck always lies

(B)

Donald Duck always tells the truth

(C)

Donald Duck's statement is true

(D)

Donald Duck's statement is false

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q45

MCQ[2 Marks]

Based only on the truth of 'Some humans are intelligent', which option can be logically inferred with certainty?

(A)

No human is intelligent

(B)

All humans are intelligent

(C)

Some non-humans are intelligent

(D)

Some intelligent beings are humans

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q46

MCQ[2 Marks]

Based on the passage about the James Webb telescope and dark matter, which statement is FALSE?

(A)

No other telescope has captured images of stars older than those captured by James Webb

(B)

People other than astrophysicists may also believe in dark matter

(C)

James Webb telescope could be of use in research on dark matter

(D)

If dark matter was known to interact via strong-interaction, epithet dark would be justified

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q47

MCQ[1 Mark]

You should ___ when to say ___.

(A)

no/no

(B)

no/know

(C)

know/know

(D)

know/no

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q48

MCQ[1 Mark]

Based on the given family relations, T is ___ of S.

(A)

the grandfather

(B)

an uncle

(C)

the father

(D)

a brother

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q49

MCQ[2 Marks]

Which one of the following is the CORRECT logical inference based on the information in the passage?

(A)

Healthy eating is important for those with good health conditions, but not others

(B)

Eating healthy can be started at any age, earlier the better

(C)

Eating healthy and better overall health are more correlated at a young age

(D)

Healthy eating is more important for adults than kids

Explanation