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Quantitative Aptitude(34)Verbal Ability(16)

Quantitative Aptitude

34 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]

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→2026→General Aptitude→Quantitative Aptitude

Q7

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

Q8

MCQ[1 Mark]

If $P e^{x} = Q e^{-x}$ for all real values of x, which one of the following statements is true?

(A)

$P=Q=0$

(B)

$P=Q=1$

(C)

$P=1; Q=-1$

(D)

$\frac{P}{Q}=0$

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q9

MCQ[1 Mark]

The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?\nNote: The figures shown are representative.

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q10

MCQ[1 Mark]

Let $p_1$ and $p_2$ denote two arbitrary prime numbers. Which one of the following statements is correct for all values of $p_1$ and $p_2$?

(A)

$p_1 + p_2$ is not a prime number.

(B)

$p_1 p_2$ is not a prime number.

(C)

$p_1 + p_2 + 1$ is a prime number.

(D)

$p_1 p_2 + 1$ is a prime number.

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q11

MCQ[2 Marks]

If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?

(A)

CEADP

(B)

IDBFC

(C)

JGIBC

(D)

IBCEC

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q12

MCQ[2 Marks]

Which one of the following options is correct for the given data in the table?\nIteration (i): 0, 1, 2, 3\nInput (I): 20, -4, 10, 15\nOutput (X): 20, 16, 26, 41\nOutput (Y): 20, -80, -800, -12000

(A)

$X(i) = X(i-1) + I(i)$; $Y(i) = Y(i-1) I(i)$; $i > 0$

(B)

$X(i) = X(i-1) I(i)$; $Y(i) = Y(i-1) + I(i)$; $i > 0$

(C)

$X(i) = X(i-1) I(i)$; $Y(i) = Y(i-1) I(i)$; $i > 0$

(D)

$X(i) = X(i-1) + I(i)$; $Y(i) = Y(i-1) I(i-1)$; $i > 0$

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q13

MCQ[2 Marks]

In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square.\nWhat is the area (in $\text{cm}^2$) of the rectangle PLMN?\nNote: The figure shown is representative.

(A)

$2\sqrt{2}$

(B)

2

(C)

8

(D)

4

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q14

MCQ[2 Marks]

The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?\nNote: The figure shown is representative.

(A)

Bridges on P, Q, and T

(B)

Bridges on P, Q, S, and T

(C)

Bridges on Q, R, T, and V

(D)

Bridges on P, Q, S, U, and V

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q15

MCQ[1 Mark]

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

(A)

Option A

(B)

Option B

(C)

Option C

(D)

is a constant

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q16

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

Q17

MCQ[1 Mark]

The number of coins of ₹1, ₹2, and ₹5 denominations that a person has are in the ratio 5:3:13. Total money in 25 coins is...

(A)

Option A

(B)

14 2/7 %

(C)

feasts

(D)

30%

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q18

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

Q19

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

Q20

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 density: Fat types = $9\text{ kcal/g}$. 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

Q21

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

Q22

MCQ[2 Marks]

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

(A)

Option A

(B)

4

(C)

5

(D)

7

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? (The diagram is representative.)

(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]

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.\nThe 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

Q25

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

Q26

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

Q27

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

Q28

MCQ[1 Mark]

A sum of money is to be distributed among P, Q, R, and S in the proportion 5:2:4:3, respectively.\nIf R gets 1000 more than S, what is the share of Q?

(A)

500

(B)

1000

(C)

1500

(D)

2000

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q29

MCQ[1 Mark]

A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, $PQ = 11$ cm, $QR = 4$ cm, $RS = 6$ cm and $SP = 3$ cm.\nWhat is the shortest distance between PQ and SR (in cm)?

(A)

1.80

(B)

2.40

(C)

4.20

(D)

5.76

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q30

MCQ[1 Mark]

The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.\nWhat is the maximum number of squares without a "hole in the interior" that can be formed within the $4\times4$ grid using the unit squares as building blocks?

(A)

15

(B)

20

(C)

21

(D)

26

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q31

MCQ[1 Mark]

An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard.\nIf the security guard does not move around the posted location and has a $360^{\circ}$ view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.

(A)

P and Q

(B)

Q

(C)

Q and S

(D)

R and S

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q32

MCQ[2 Marks]

Consider the following inequalities: (i) $2x - 1 > 7$ (ii) $2x - 9 < 1$\nWhich one of the following expressions below satisfies the above two inequalities?

(A)

$x \le -4$

(B)

$-4 < x \le 4$

(C)

$4 < x < 5$

(D)

$x \ge 5$

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q33

MCQ[2 Marks]

Four points $P(0,1)$, $Q(0,-3)$, $R(-2,-1)$, and $S(2,-1)$ represent the vertices of a quadrilateral.\nWhat is the area enclosed by the quadrilateral?

(A)

4

(B)

$4\sqrt{2}$

(C)

8

(D)

$8\sqrt{2}$

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q34

MCQ[2 Marks]

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively.\nLet X, Y and Z represent the following operations:\nX: rotation of the square by 180 degree with respect to the S-Q axis.\nY: rotation of the square by 180 degree with respect to the P-R axis.\nZ: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T.\nConsider the following three distinct sequences of operation (which are applied in the left to right order). (1) XYZZ (2) XY (3) ZZZZ\nWhich one of the following statements is correct as per the information provided above?

(A)

The sequence of operations (1) and (2) are equivalent

(B)

The sequence of operations (1) and (3) are equivalent

(C)

The sequence of operations (2) and (3) are equivalent

(D)

The sequence of operations (1), (2) and (3) are equivalent

Explanation

Verbal Ability

16 Questions

GATE→2026→General Aptitude→Verbal Ability

Q35

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

Q36

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

Q37

MCQ[2 Marks]

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

(A)

$P = \text{Thirst}; Q = \text{Hunger}$

(B)

$P = \text{Drink}; Q = \text{Hunger}$

(C)

$P = \text{Thirst}; Q = \text{Satiated}$

(D)

$P = \text{Wet}; Q = \text{Critic}$

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q38

MCQ[1 Mark]

Despite his initial hesitation, Rehman's ______ to contribute to the success of the project never wavered.\nSelect the most appropriate option to complete the above sentence.

(A)

ambivalence

(B)

satisfaction

(C)

resolve

(D)

revolve

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q39

MCQ[1 Mark]

Bird : Nest :: Bee : ______\nSelect the correct option to complete the analogy.

(A)

Kennel

(B)

Hammock

(C)

Hive

(D)

Lair

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q40

MCQ[2 Marks]

Based only on the conversation below, identify the logically correct inference: "Even if I had known that you were in the hospital, I would not have gone there to see you", Ramya told Josephine.

(A)

Ramya knew that Josephine was in the hospital.

(B)

Ramya did not know that Josephine was in the hospital.

(C)

Ramya and Josephine were once close friends; but now, they are not.

(D)

Josephine was in the hospital due to an injury to her leg.

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q41

MCQ[1 Mark]

If '->' denotes increasing order of intensity, then the meaning of the words [dry $\rightarrow$ arid $\rightarrow$ parched] is analogous to [diet $\rightarrow$ fast $\rightarrow$ __]. 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 his head (i) before heading to bat; (ii) batting, he could only do so with a cool head (iii) for, while he had a head (iv) his shoulders.

(A)

(i) on, (ii) down, (iii) for, (iv) on

(B)

(i) on, (ii) down, (iii) for, (iv) down

(C)

(i) down, (ii) out, (iii) for, (iv) on

(D)

(i) on, (ii) out, (iii) for, (iv) down

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]

______ :: Guidelines: Implement\nReferences: (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.\nBased 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? (i) All human beings are cruel creatures. (ii) Some human beings are cruel creatures. (iii) Some creatures that are cruel are human beings. (iv) No human beings are cruel creatures.

(A)

(i) only

(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... Based only on the above passage, which one of the following statements can be inferred with certainty?

(A)

Option A

(B)

Option B

(C)

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

(D)

Option D

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q48

MCQ[1 Mark]

Mr. X speaks ______ Japanese ______ Chinese.

(A)

neither/or

(B)

either/nor

(C)

neither / nor

(D)

also / but

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q49

MCQ[2 Marks]

Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences.\nWhich one of the following is the correct logical inference based on the information in the above passage?

(A)

Using chemicals to kill mosquitoes is better than using genetically modified mosquitoes because genetic engineering is dangerous

(B)

Using genetically modified mosquitoes is better than using chemicals to kill mosquitoes because they do not have any side effects

(C)

Both using genetically modified mosquitoes and chemicals have undesired consequences and can be dangerous

(D)

Using chemicals to kill mosquitoes may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q50

MCQ[2 Marks]

In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.\nStatement of P: R has copied in the exam.\nStatement of Q: S has copied in the exam.\nStatement of R: P did not copy in the exam.\nStatement of S: Only one of us is telling the truth.\nStatement of T: R is telling the truth.\nThe investigating team had authentic information that S never lies.\nBased on the information given above, the person who has copied in the exam is

(A)

R

(B)

P

(C)

Q

(D)

T

Explanation