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Quantitative Aptitude(36)Data Interpretation(1)Verbal Ability(14)

Quantitative Aptitude

36 Questions

GATE→2026→General Aptitude→Quantitative Aptitude

Q1

MCQ[1 Mark]

In the sequence of tiles shown below, the missing tile indicated by the question mark should be ?

(A)

(B)

(C)

(D)

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

A school has 100 students distributed among 1st to 10th standards. Based on this, which one of the following statements is always correct?

(A)

There are at least 10 students who belong to the same standard.

(B)

There is at least one student in each standard.

(C)

There are at most 10 students in 10th standard.

(D)

The total number of students from 1st to 5th standards is at least 50.

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

How many 3-digit numbers can be formed using three distinct single digit prime numbers?

(A)

64

(B)

24

(C)

12

(D)

4

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is

(A)

18

(B)

20

(C)

24

(D)

32

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q5

MCQ[2 Marks]

A paper shown in Panel I is folded along the dashed lines to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?

(A)

Only (i) can correspond to the unfolded cube in Panel I.

(B)

Only (ii) can correspond to the unfolded cube in Panel I.

(C)

Both (i) and (ii) can correspond to the unfolded cube in Panel I.

(D)

Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q6

MCQ[2 Marks]

Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such that any two corners that are connected by an edge must be of different colors. The minimum number of colors required to achieve this is

(A)

8

(B)

4

(C)

3

(D)

2

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them: i. Neither H2 nor H3 is the easternmost hill. ii. Neither H2 nor H3 is the westernmost hill. iii. Neither the easternmost hill nor the westernmost hill is the southernmost hill. iv. Two hills are located to the west of H2. v. The southernmost hill has at least two hills to its east. The southernmost hill is

(A)

H1

(B)

H2

(C)

H3

(D)

H4

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

As shown in the figure, circle C1 with center O1 and radius r1 touches the square VWXY at points P and Q while circle C2 with center O2 and radius r2 touches the square VWXY at points R and S. The two circles touch each other at T. Given r1 = 1 cm and VY = VW = 4 cm, r2 is

(A)

4 - 3\sqrt{2}

(B)

1 + 2\sqrt{2}

(C)

7 - 4\sqrt{2}

(D)

5 + 3\sqrt{2}

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q9

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)

1 + e

(B)

e - 1

(C)

e

(D)

e

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q10

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?

(A)

3

(B)

4

(C)

8

(D)

12

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q11

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)

(B)

(C)

(D)

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q12

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?

(A)

64 6/11

(B)

66 5/13

(C)

65 5/11

(D)

66 6/13

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q13

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?

(A)

(B)

(C)

(D)

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q14

MCQ[2 Marks]

A circle with center at $(x,y)=(0.5,0)$ and radius $=0.5$ intersects with another circle with center at $(x,y)=(1,1)$ and radius $=1$ at two points. One of the points of intersection $(x, y)$ is:

(A)

(0,0)

(B)

(0.2, 0.4)

(C)

(0.5, 0.5)

(D)

(1,2)

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q15

MCQ[2 Marks]

An object is said to have an $n$-fold rotational symmetry if the object, rotated by an angle of $\frac{2\pi}{n}$ 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?

(A)

(B)

(C)

(D)

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q16

MCQ[1 Mark]

In a locality, the houses are numbered with consecutive odd/even integers. 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

Q17

MCQ[1 Mark]

For $p > 0$, $q > 0$ and $p \neq 1$, $q \neq 1$. If $p^{q} = q^{p}$ and $q = p^2$, then the value of $p$ is

(A)

\sqrt{2}

(B)

q^p = p^{2q}

(C)

\sqrt{q} = \sqrt{p}

(D)

\sqrt[p]{q} = \sqrt[q]{p}

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q18

MCQ[1 Mark]

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

(A)

35

(B)

40

(C)

45

(D)

31

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q19

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)

48

(B)

49

(C)

50

(D)

55

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q20

MCQ[2 Marks]

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

(A)

12

(B)

14

(C)

10

(D)

28

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q21

MCQ[2 Marks]

In the 4x4 array shown, 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 a half-moon phase, Earth-Moon-Sun form a right triangle with angle 89.85°. The ratio of Earth-Sun and 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]

In the given figure, PQRS is a parallelogram with $PS = 7$ cm, $PT = 4$ cm and $PV = 5$ cm. What is the length of RS in cm?

(A)

$\frac{20}{7}$

(B)

$\frac{28}{5}$

(C)

$\frac{9}{2}$

(D)

$\frac{35}{4}$

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q24

MCQ[1 Mark]

Based only on the provided information regarding June Huh, which one of the following statements can be logically inferred with certainty?

(A)

Every Fields medalist has won a medal in an International Mathematics Olympiad.

(B)

Everyone who has dropped out of college has won the Fields medal.

(C)

All Fields medalists are part-time poets.

(D)

Some Fields medalists have dropped out of college.

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q25

MCQ[1 Mark]

In the given figure with 16 unit squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry?

(A)

3

(B)

4

(C)

5

(D)

6

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q26

MCQ[2 Marks]

To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and cement are in the ratio 1:2. Total cost is 1000 rupees. What is the cost (in rupees) of cement used?

(A)

400

(B)

600

(C)

800

(D)

200

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q27

MCQ[2 Marks]

The coefficient of $x^4$ in the polynomial $(x-1)^3(x-2)^3$ is equal to

(A)

33

(B)

-3

(C)

30

(D)

21

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q28

MCQ[2 Marks]

Which one of the following shapes can be used to tile a flat plane without leaving any empty spaces?

(A)

circle

(B)

regular octagon

(C)

regular pentagon

(D)

rhombus

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q29

MCQ[2 Marks]

Exhibition visitor arrival times uniform between 3 PM and 4 PM with specific exit rules. Probability that their visits overlapped is

(A)

5/9

(B)

4/9

(C)

2/9

(D)

7/9

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q30

MCQ[1 Mark]

A sphere of radius $r$ cm is packed in a box of cubical shape. What should be the minimum volume (in $\text{cm}^3$) of the box that can enclose the sphere?

(A)

\frac{r^3}{8}

(B)

r^3

(C)

2r^3

(D)

8r^3

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q31

MCQ[1 Mark]

Pipes P and Q fill a tank in 10 and 6 minutes. Pipe R empties it at 34 L/min. Operating simultaneously, it takes 1 hour to empty a full tank. Capacity of tank is litres.

(A)

26.8

(B)

60.0

(C)

120.0

(D)

127.5

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q32

MCQ[1 Mark]

Six persons P, Q, R, S, T and U are sitting around a circular table facing center based on given positional conditions. Q is a neighbor of

(A)

U and S

(B)

R and T

(C)

R and U

(D)

P and S

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q33

MCQ[1 Mark]

Minimum number of doors to be opened to go from point P to Q in the given building layout is

(A)

4

(B)

3

(C)

2

(D)

1

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q34

MCQ[2 Marks]

Two independent 8-sector disks are spun. What is the probability that the sum of the numbers is equal to 8?

(A)

1/16

(B)

5/64

(C)

3/32

(D)

7/64

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q35

MCQ[2 Marks]

Consider inequalities (i) $3p-q<4$ and (ii) $3q-p<12$. Which expression satisfies both?

(A)

p + q < 8

(B)

p + q = 8

(C)

8 <= p + q < 16

(D)

p + q >= 16

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q36

MCQ[2 Marks]

Which set of pieces can be assembled to form a square with a single round hole near the center?

(A)

option A

(B)

option B

(C)

option C

(D)

option D

Explanation

Data Interpretation

1 Question

GATE→2024→General Aptitude→Data Interpretation

Q37

MCQ[2 Marks]

Which one of the given technologies has the highest Capacity Factor based on the chart?

(A)

T3

(B)

T4

(C)

T2

(D)

T1

Explanation

Verbal Ability

14 Questions

GATE→2026→General Aptitude→Verbal Ability

Q38

MCQ[1 Mark]

"He often [blank1] the numbers. False claims are not going to help. Honesty [blank2] trust", said the manager. Choose the option with the correct order of words to fill the blanks.

(A)

exaggerates; engenders

(B)

excels; encourages

(C)

aggravates; alleviates

(D)

diminishes; eliminates

Explanation

GATE→2026→General Aptitude→Verbal Ability

Q39

MCQ[2 Marks]

Charity : P :: Retaliation : Q Choose the appropriate pair of words P and Q that fit the analogy.

(A)

P = Parsimonious; Q = Vengeful

(B)

P = Altruistic; Q = Amicable

(C)

P = Resentful; Q = Spiteful

(D)

P = Magnanimous; Q = Vindictive

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q40

MCQ[1 Mark]

Is there any good show [blank] television tonight? Select the most appropriate option to complete the above sentence.

(A)

in

(B)

at

(C)

within

(D)

on

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q41

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.

(A)

sumptuously

(B)

brazenly

(C)

unintentionally

(D)

summarily

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q42

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?

(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

Q43

MCQ[1 Mark]

If '->' denotes increasing order of intensity, then the meaning of the words [simmer $\rightarrow$ seethe $\rightarrow$ smolder] is analogous to [break $\rightarrow$ raze $\rightarrow$ [blank]].

(A)

obfuscate

(B)

obliterate

(C)

fracture

(D)

fissure

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q44

MCQ[2 Marks]

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.

(A)

hold, wait, culminates, pivot

(B)

holds, wait, culminate, pivots

(C)

holds, waits, culminates, pivot

(D)

hold, waits, culminate, pivots

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q45

MCQ[1 Mark]

"You are delaying the completion of the task. Send [blank] contributions at the earliest." Select the most appropriate option to fill the blank.

(A)

you are

(B)

your

(C)

you're

(D)

yore

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q46

MCQ[1 Mark]

Implement : Guidelines :: [blank] : References (By word meaning)

(A)

Sight

(B)

Site

(C)

Cite

(D)

Plagiarise

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q47

MCQ[2 Marks]

If the statement "Some human beings are not cruel creatures" is FALSE in the given imagined world, which set of statement(s) can be logically inferred with certainty?

(A)

only (i)

(B)

only (iii) and (iv)

(C)

only (i) and (ii)

(D)

(i), (ii) and (iii)

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q48

MCQ[2 Marks]

Based only on the World Bank passage regarding Sri Lanka's economic crisis, which statement can be inferred with certainty?

(A)

According to the World Bank, the root cause of Sri Lanka's economic crisis is that it does not have enough foreign exchange.

(B)

The World Bank has stated that it will advise the Sri Lankan government about how to tackle the root causes of its economic crisis.

(C)

According to the World Bank, Sri Lanka does not yet have an adequate macroeconomic policy framework.

(D)

The World Bank has stated that it will provide Sri Lanka with additional funds for essentials such as food, fuel, and medicines.

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q49

MCQ[1 Mark]

Inhaling the smoke from a burning [blank] could [blank] you quickly.

(A)

tire/tier

(B)

tire/tyre

(C)

tyre/tire

(D)

tyre/tier

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q50

MCQ[2 Marks]

Based on the passage regarding Green Super Rice (GSR) and climate change, which logical inference is CORRECT?

(A)

GSR is an alternative to regular rice, but it grows only in an extreme weather

(B)

GSR may be used in future in response to adverse effects of climate change

(C)

GSR grows in an extreme weather, but quantity of produce is lesser

(D)

Regular rice will continue to provide good yields even in extreme weather

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q51

MCQ[2 Marks]

Given 3 statements and 4 conclusions. Which option can be logically inferred?

(A)

Only conclusion I is correct

(B)

Only conclusion II and III are correct

(C)

Only conclusion I and III are correct

(D)

Either conclusion III or IV is correct

Explanation