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Quantitative Aptitude(32)Data Interpretation(3)Verbal Ability(15)

Quantitative Aptitude

32 Questions

GATE→2026→General Aptitude→Quantitative Aptitude

Q1

MCQ[1 Mark]

To continue the sequence of tiles shown, the tile indicated by the question mark should be

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is

(A)

2

(B)

3

(C)

4

(D)

5

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

The 2nd of June is a Thursday in a certain year. Which day of the week is the 3rd of July in that year?

(A)

Thursday

(B)

Friday

(C)

Saturday

(D)

Sunday

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

A coin with heads facing up is shown as H and a coin with tails facing up is shown as T. Six coins are placed in the Starting Arrangement, as shown in the figure below. A "step" is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is

(A)

3

(B)

6

(C)

9

(D)

12

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]

Four people P, Q, R, and S, of different ages, make the following observations.\nP - I am younger than S.\nQ - I am neither the youngest nor the oldest.\nR - P is older than me.\nBased on these observations, the youngest person is

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

Circles C1, C2, and C3, with centers O1, O2, and O3, and radii r1, r2, and r3, respectively, touch each other as shown in the following figure. Given r1 = 2 cm, r2 = 1 cm and the angle angle O1O3O2 is 90 degrees, r3 = ____ cm.

(A)

\frac{1}{2}(-3+\sqrt{17})

(B)

\frac{1}{2}(3+\sqrt{17})

(C)

\frac{1}{2}(-2+\sqrt{17})

(D)

\frac{1}{2}(-3+2\sqrt{17})

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q8

MCQ[1 Mark]

If $Pe^{x} = Qe^{-x}$ 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?

(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]

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. What is the area (in $\text{cm}^{2}$) of the rectangle PLMN?

(A)

$2\sqrt{2}$

(B)

2

(C)

8

(D)

4

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q13

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?

(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

Q14

MCQ[1 Mark]

A student was supposed to multiply a positive real number p with another positive real number q. Instead, the student divided p by q. If the percentage error in the student's answer is 80%, the value of q is

(A)

5

(B)

\sqrt{2}

(C)

0.2

(D)

\sqrt{5}

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q15

MCQ[1 Mark]

If the sum of the first 20 consecutive positive odd numbers is divided by $20^{2}$, the result is

(A)

1

(B)

20

(C)

2

(D)

1/2

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q16

MCQ[1 Mark]

The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is

(A)

150

(B)

200

(C)

250

(D)

175

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q17

MCQ[2 Marks]

Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder... The ratio of the occupied space to the empty space of the container is

(A)

5/2

(B)

7/2

(C)

9/2

(D)

11/2

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q18

MCQ[2 Marks]

Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B. If viewed from direction Y, Figure A will appear as

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q19

MCQ[2 Marks]

Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is

(A)

120^{\circ}

(B)

60^{\circ}

(C)

90^{\circ}

(D)

180^{\circ}

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q20

MCQ[1 Mark]

A 'frabjous' number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?

(A)

125

(B)

720

(C)

60

(D)

80

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q21

MCQ[1 Mark]

Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?

(A)

The median is at least as large as the mean.

(B)

The mean is at least as large as the median.

(C)

At most half the candidates have a score that is larger than the median.

(D)

At most half the candidates have a score that is larger than the mean.

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q22

MCQ[1 Mark]

In the given diagram, ovals are marked at different heights (h) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q23

MCQ[2 Marks]

Ankita has to climb 5 stairs starting at the ground... The value of $F(5)$ is

(A)

8

(B)

7

(C)

6

(D)

5

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q24

MCQ[2 Marks]

Which one of the given figures P, Q, R and S represents the graph of the following function? $f(x) = ||x+2| - |x-1||$

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q25

MCQ[2 Marks]

An opaque cylinder is suspended in the path of a parallel beam of light... 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→2022→General Aptitude→Quantitative Aptitude

Q26

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

Q27

MCQ[1 Mark]

Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute... what is the capacity of the storage tank (in litres)?

(A)

26.8

(B)

60.0

(C)

120.0

(D)

127.5

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q28

MCQ[1 Mark]

Six persons P, Q, R, S, T and U are sitting around a circular table facing the center... Based on the above statements, 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

Q29

MCQ[1 Mark]

A building has several rooms and doors as shown in the top view of the building given below... What is the minimum number of doors that need to be opened in order to go from the point P to the point Q?

(A)

4

(B)

3

(C)

2

(D)

1

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q30

MCQ[2 Marks]

A game consists of spinning an arrow around a stationary disk... What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?

(A)

\frac{1}{16}

(B)

\frac{5}{64}

(C)

\frac{3}{32}

(D)

\frac{7}{64}

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q31

MCQ[2 Marks]

Consider the following inequalities. $3p - q < 4$, $3q - p < 12$. Which one of the following expressions below satisfies the above two inequalities?

(A)

p + q < 8

(B)

p + q = 8

(C)

8 \le p + q < 16

(D)

p + q \ge 16

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q32

MCQ[2 Marks]

Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

Data Interpretation

3 Questions

GATE→2026→General Aptitude→Data Interpretation

Q33

MCQ[2 Marks]

In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore, 1. the total number of patients with at least one of these conditions is 75, 2. the number of patients with high cholesterol is 10, 3. the number of patients with high BP is 45, and 4. the number of patients with only high BP and no other conditions is 20.\nThen the number of patients who have both diabetes and high BP is

(A)

0

(B)

15

(C)

20

(D)

10

Explanation

GATE→2025→General Aptitude→Data Interpretation

Q34

MCQ[2 Marks]

Which one of the following options is correct for the given data in the table?

(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→2024→General Aptitude→Data Interpretation

Q35

MCQ[2 Marks]

The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?

(A)

The risk reduction on increasing the steps/day from 0 to 10000 is less than the risk reduction on increasing the steps/day from 10000 to 20000.

(B)

The risk reduction on increasing the steps/day from 0 to 5000 is less than the risk reduction on increasing the steps/day from 15000 to 20000.

(C)

For any 5000 increment in steps/day the largest risk reduction occurs on going from 0 to 5000.

(D)

For any 5000 increment in steps/day the largest risk reduction occurs on going from 15000 to 20000.

Explanation

Verbal Ability

15 Questions

GATE→2026→General Aptitude→Verbal Ability

Q36

MCQ[1 Mark]

Suresh said, "I did it yesterday." Which one of the following options is the correct form of this sentence in indirect speech?

(A)

Suresh said that I did it yesterday.

(B)

Suresh says I did it yesterday.

(C)

Suresh says that he did it the day before.

(D)

Suresh said that he had done it the day before.

Explanation

GATE→2026→General Aptitude→Verbal Ability

Q37

MCQ[2 Marks]

Exacerbate: Mitigate :: Choose the option with the correct pair of words to fill the blank.

(A)

Aggravate: Alleviate

(B)

Alleviate: Precipitate

(C)

Aggravate: Precipitate

(D)

Emancipate: Exonerate

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. Select 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 : _____ Select 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 '$\rightarrow$' denotes increasing order of intensity, then the meaning of the words [drizzle $\rightarrow$ rain $\rightarrow$ downpour] is analogous to [$\rule{1cm}{0.15mm}$ $\rightarrow$ quarrel $\rightarrow$ feud]. Which one of the given options is appropriate to fill the blank?

(A)

bicker

(B)

bog

(C)

dither

(D)

dodge

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q42

MCQ[1 Mark]

Statements: 1. All heroes are winners. 2. All winners are lucky people.\nInferences:\nI. All lucky people are heroes.\nII. Some lucky people are heroes.\nIII. Some winners are heroes.\nWhich of the above inferences can be logically deduced from statements 1 and 2?

(A)

Only I and II

(B)

Only II and III

(C)

Only I and III

(D)

Only II

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.\nYoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) the freedom of her writings that stand (iv) .

(A)

(i) out, (ii) down, (iii) in, (iv) up

(B)

(i) down, (ii) out, (iii) in, (iv) up

(C)

(i) down, (ii) out, (iii) up, (iv) in

(D)

(i) out, (ii) down, (iii) up, (iv) in

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q44

MCQ[1 Mark]

The village was nestled in a green spot, _____ the ocean and the hills.

(A)

through

(B)

in

(C)

at

(D)

between

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q45

MCQ[1 Mark]

Disagree : Protest :: Agree : _____ (By word meaning)

(A)

Refuse

(B)

Pretext

(C)

Recommend

(D)

Refute

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q46

MCQ[2 Marks]

Residency is a famous housing complex... Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

(A)

Some residents of the complex who are well established in their fields are also authors of some best-selling books.

(B)

All academicians residing in the complex are well established in their fields.

(C)

Some authors of best-selling books are residents of the complex who are well established in their fields.

(D)

Some academicians residing in the complex are well established in their fields.

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q47

MCQ[2 Marks]

The information contained in DNA is used to synthesize proteins... Based only on the information provided above, which of the following statements can be logically inferred with certainty?

(A)

only (i)

(B)

only (ii)

(C)

both (i) and (ii)

(D)

neither (i) nor (ii)

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q48

MCQ[1 Mark]

Inhaling the smoke from a burning _____ could _____ you quickly.

(A)

tire/tier

(B)

tire/tyre

(C)

tyre/tire

(D)

tyre/tier

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q49

MCQ[2 Marks]

Rice, a versatile and inexpensive source of carbohydrate... Which one of the following is the CORRECT logical inference based on the information given in the above passage?

(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 the quantity of produce is lesser than regular rice

(D)

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

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q50

MCQ[2 Marks]

Given below are three statements and four conclusions drawn based on the statements... Which one of the following options can be logically inferred?

(A)

Only conclusion I is correct

(B)

Only conclusion II and conclusion III are correct

(C)

Only conclusion I and conclusion III are correct

(D)

Either conclusion III or conclusion IV is correct

Explanation