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Quantitative Aptitude(35)Verbal Ability(15)

Quantitative Aptitude

35 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)

a

(B)

b

(C)

c

(D)

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 =

(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: $$\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+\frac{1}{5!}+\cdot\cdot\cdot$$

(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)

a

(B)

b

(C)

c

(D)

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)

$64\frac{6}{11}$

(B)

$66\frac{5}{13}$

(C)

$65\frac{5}{11}$

(D)

$66\frac{6}{13}$

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)

a

(B)

b

(C)

c

(D)

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)

a

(B)

b

(C)

c

(D)

d

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q16

MCQ[1 Mark]

If two variables x and y are such that $(x+y)$ is proportional to $\frac{x}{y}$, then $\frac{x}{y}$

(A)

depends on both x and y

(B)

depends only on x and not on y

(C)

depends only on y and not on x

(D)

is a constant

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q17

MCQ[1 Mark]

Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is

(A)

13.5

(B)

14

(C)

11

(D)

18.7

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q18

MCQ[1 Mark]

The number of coins of ₹1, ₹2, and ₹5 denominations that a person has are in the ratio 5:3:13. Of the total money in coins, the percentage of money in ₹5 coins is

(A)

option A

(B)

14 2/7 %

(C)

30%

(D)

option D (or equivalent C from key)

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q19

MCQ[1 Mark]

For positive non-zero real variables p and q, if $$\log (p^{2}+q^{2})=\log~p+\log~q+2~log~3,$$ then, the value of $\frac{p^{4}+q^{4}}{p^{2}q^{2}}$ is

(A)

79

(B)

81

(C)

9

(D)

83

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q20

MCQ[2 Marks]

A rectangular paper sheet of dimensions $54\text{ cm} \times 4\text{ cm}$ is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is

(A)

$1/\pi$

(B)

$2/\pi$

(C)

$3/\pi$

(D)

$4/\pi$

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q21

MCQ[2 Marks]

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. Saturated fat: 20%, Trans fat: 5%, Carbohydrates: 35%, Unsaturated fat: 20%, Proteins: 20%. Energy densities (kcal/g): Fats = 9. The total fat (all three types), in grams, this person consumes is

(A)

44.4

(B)

77.8

(C)

100

(D)

3,600

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q22

MCQ[2 Marks]

A rectangular paper of $20\text{ cm} \times 8\text{ cm}$ is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is

(A)

18

(B)

24

(C)

20

(D)

21

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q23

MCQ[2 Marks]

The least number of squares to be added in the figure to make AB a line of symmetry is

(A)

6

(B)

4

(C)

5

(D)

7

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q24

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)

20 / 7

(B)

28 / 5

(C)

9 / 2

(D)

35 / 4

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q25

MCQ[1 Mark]

A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. The given figure consists of 16 unit squares arranged as shown. In addition to the three black 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 that of cement are in the ratio of 1:2. If the total cost of sand and cement to construct the wall is 1000 rupees, then 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 (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.

(A)

circle

(B)

regular octagon

(C)

regular pentagon

(D)

rhombus

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q29

MCQ[1 Mark]

Two straight lines pass through the origin $(x_{0},y_{0})=(0,0)$. One of them passes through the point $(x_{1},y_{1})=(1,3)$ and the other passes through the point $(x_{2},y_{2})=(1,2)$. 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]

In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of the squares, PXWR, RUVZ and SPQT is

(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 of a year and Q invested x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year. If at the end of that investment year, Q receives $\frac{4}{9}$ of the total profit, what is the value of x (in ₹)?

(A)

2500

(B)

3000

(C)

4687

(D)

8437

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q33

MCQ[2 Marks]

The frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, 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]

In the square grid shown on the left, a person standing at P2 position is required to move to P5 position. The only movement allowed for a step involves, "two moves along one direction followed by one move in a perpendicular direction"... Without occupying any of the shaded squares at the end of each step, the minimum number of steps required to go from P2 to P5 is

(A)

4

(B)

5

(C)

6

(D)

7

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q35

MCQ[2 Marks]

Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visible in the above view may not be blank. Which one of the following represents a possible unfolding of the cube?

(A)

a

(B)

b

(C)

c

(D)

d (MTA - Mark to All / Cancelled or specific key)

Explanation

Verbal Ability

15 Questions

GATE→2026→General Aptitude→Verbal Ability

Q36

MCQ[1 Mark]

"He often ____ the numbers. False claims are not going to help. Honesty ____ 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

Q37

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

Q38

MCQ[1 Mark]

Is there any good show ____ 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

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. Select the most appropriate option to complete the above sentence.

(A)

sumptuously

(B)

brazenly

(C)

unintentionally

(D)

summarily

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q40

MCQ[2 Marks]

"Why do they pull down and do away with crooked streets, I wonder, which are my delight, and hurt no man living? Every day the wealthier nations are pulling down one or another in their capitals and their great towns..." Based only on the information provided in the above passage, 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

Q41

MCQ[1 Mark]

If '->' denotes increasing order of intensity, then the meaning of the words [dry -> arid -> parched] is analogous to [diet -> fast -> __]. Which one of the given options is appropriate to fill the blank?

(A)

starve

(B)

reject

(C)

feast

(D)

deny

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q42

MCQ[2 Marks]

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Steve was advised to keep (i) _____ before heading to bat; for, while he had a head (ii) _____ batting, he could only do so with a cool head (iii) _____ his shoulders.

(A)

option A

(B)

option B

(C)

(i) down, (ii) out, (iii) on (or matching option C)

(D)

option D

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q43

MCQ[1 Mark]

"You are delaying the completion of the task. Send ____ contributions at the earliest."

(A)

you are

(B)

your

(C)

you're

(D)

yore

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q44

MCQ[1 Mark]

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

(A)

Sight

(B)

Site

(C)

Cite

(D)

Plagiarise

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q45

MCQ[1 Mark]

In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college. Based only on the above information, 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→Verbal Ability

Q46

MCQ[2 Marks]

Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following 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

Q47

MCQ[2 Marks]

The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place... Based only on the above passage, which one of the following statements 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

Q48

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

Q49

MCQ[1 Mark]

Given the statements: - P is the sister of Q. - Q is the husband of R. - R is the mother of S. - T is the husband of P. Based on the above information, T is ____ of S.

(A)

the grandfather

(B)

an uncle

(C)

the father

(D)

a brother

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q50

MCQ[2 Marks]

Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eating healthy in the first year are more likely to have better overall health as they get older. Which one of the following is the CORRECT logical inference based on the information in the above passage?

(A)

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

(D)

Healthy eating is more important for adults than kids

Explanation