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Quantitative Aptitude(37)Verbal Ability(13)

Quantitative Aptitude

37 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)

A

(B)

B

(C)

C

(D)

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 (H H H T T T). The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement (T T T H H H) 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. 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]

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) total patients with at least one condition = 75, 2) high cholesterol = 10, 3) high BP = 45, 4) only high BP and no other conditions = 20. The number of patients who have both diabetes and high BP is

(A)

0

(B)

15

(C)

20

(D)

10

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

Four people P, Q, R, and S, of different ages, make the following observations. P: I am younger than S. Q: I am neither the youngest nor the oldest. R: P is older than me. Based on these observations, the youngest person is

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

Circles $C_1$, $C_2$, and $C_3$, with centers $O_1$, $O_2$, and $O_3$, and radii $r_1$, $r_2$, and $r_3$, respectively, touch each other as shown. Given $r_1=2$ cm, $r_2=1$ cm and the angle $\angle O_1O_3O_2$ is $90^{\circ}$, $r_3=$ 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

Q9

MCQ[1 Mark]

An electricity utility company charges ₹ 7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?

(A)

₹ 604.8; 10%

(B)

₹ 504; 20%

(C)

₹ 604.8; 12%

(D)

₹ 720; 15%

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q10

MCQ[1 Mark]

In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively?

(A)

Q, M, 12, and 8

(B)

K, L, 10 and 14

(C)

I, J, 10, and 8

(D)

L, K, 12 and 8

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q11

MCQ[1 Mark]

A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, conditions given... Which one of the following Pie charts correctly represents the balls in the bag?

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q12

MCQ[2 Marks]

For the clock shown in the figure, if $O^* = O\;Q\;S\;Z\;P\;R\;T$, and $X^* = X\;Z\;P\;W\;O\;Q$, then which one among the given options is most appropriate for $P^*$?

(A)

P U W R T V X

(B)

P R T O Q S U

(C)

P T V Q S U W

(D)

P S U P R T V

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q13

MCQ[2 Marks]

Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions: $P<Q$, $S>P>T$, $R<T$. If integers 1 through 5 are used to construct such a number, the value of P is:

(A)

1

(B)

2

(C)

3

(D)

4

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q14

MCQ[2 Marks]

A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at ₹ 192 per kg. The cost of the variety P is ₹ 800 for 5 kg. The cost of the variety Q is ₹ 800 for 4 kg. If the person gets 8% profit, what is the P:Q ratio (by weight)?

(A)

5:4

(B)

3:4

(C)

3:2

(D)

1:1

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q15

MCQ[2 Marks]

Three villages P, Q, and R are located in such a way that the distance $PQ = 13$ km, $QR = 14$ km, and $RP = 15$ km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?

(A)

10.5

(B)

11.0

(C)

12.0

(D)

12.5

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q16

MCQ[1 Mark]

Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes. III. Some winners are heroes. Which 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 III

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q17

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)

2

(D)

\sqrt{5}

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q18

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

Q19

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

Q20

MCQ[2 Marks]

Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container... The ratio of the occupied space to the empty space of the container is

(A)

5/2

(B)

7/2

(C)

9/2

(D)

3

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q21

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 steps/day from 0 to 10000 is less than from 10000 to 20000.

(B)

The risk reduction on increasing steps/day from 0 to 5000 is less than 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

GATE→2024→General Aptitude→Quantitative Aptitude

Q22

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, the planar image of the assembly (Figure A) will appear as

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q23

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

Q24

MCQ[1 Mark]

In how many ways can cells in a $3\times3$ grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown.

(A)

2

(B)

9

(C)

3

(D)

6

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q25

MCQ[1 Mark]

There are 4 red, 5 green, and 6 blue balls inside a box. If N number of balls are picked simultaneously, what is the smallest value of N that guarantees there will be at least two balls of the same colour?

(A)

4

(B)

15

(C)

5

(D)

2

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q26

MCQ[1 Mark]

Consider a circle with its centre at the origin (O), as shown. Two operations are allowed on the circle. Operation 1: Scale independently along the x and y axes. Operation 2: Rotation in any direction about the origin. Which figure among the options can be achieved through a combination of these two operations on the given circle?

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q27

MCQ[2 Marks]

Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many seating arrangements are possible such that every husband sits next to his wife?

(A)

16

(B)

4

(C)

120

(D)

720

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q28

MCQ[2 Marks]

If x satisfies the equation $4^{8^{x}}=256$, then x is equal to

(A)

\frac{1}{2}

(B)

\log_{16}8

(C)

\frac{2}{3}

(D)

\log_{4}8

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q29

MCQ[2 Marks]

Consider a spherical globe rotating about an axis passing through its poles. There are three points P, Q, and R situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere. Let P, Q, and R move with speeds $v_{P}$, $v_{Q}$, and $v_{R}$, respectively. Which one of the following options is CORRECT?

(A)

v_{P}<v_{R}<v_{Q}

(B)

v_{P}<v_{Q}<v_{R}

(C)

v_{P}>v_{R}>v_{Q}

(D)

v_{P}=v_{R}\ne v_{Q}

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q30

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. If R gets 1000 more than S, what is the share of Q (in ₹)?

(A)

500

(B)

1000

(C)

1500

(D)

2000

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q31

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. What 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

Q32

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. What 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

Q33

MCQ[1 Mark]

An art gallery engages a security guard to ensure that the items displayed are protected... 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)

S

(B)

P and Q

(C)

Q

(D)

Q and S

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q34

MCQ[2 Marks]

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

(A)

x <= -4

(B)

-4 < x <= 4

(C)

4 < x < 5

(D)

x >= 5

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q35

MCQ[2 Marks]

Four points $P(0,1)$, $Q(0,-3)$, $R(-2,-1)$, and $S(2,-1)$ represent the vertices of a quadrilateral. What 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

Q36

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. Statement of P: R has copied in the exam. Statement of Q: S has copied in the exam. Statement of R: P did not copy in the exam. Statement of S: Only one of us is telling the truth. Statement of T: R is telling the truth. The investigating team had authentic information that S never lies. Based on the information given above, the person who has copied in the exam is

(A)

R

(B)

P

(C)

Q

(D)

T

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q37

MCQ[2 Marks]

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively... Which 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

13 Questions

GATE→2026→General Aptitude→Verbal Ability

Q38

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

Q39

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

Q40

MCQ[1 Mark]

Even though I had planned to go skiing with my friends, I had to ________ at the last moment because of an injury. Select the most appropriate option to complete the above sentence.

(A)

back up

(B)

back of

(C)

back on

(D)

back out

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q41

MCQ[1 Mark]

The President, along with the Council of Ministers, ________ to visit India next week. Select the most appropriate option to complete the above sentence.

(A)

wishes

(B)

will wish

(C)

is wishing

(D)

wish

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q42

MCQ[2 Marks]

Based only on the information provided in the passage, which one of the following statements is true?

(A)

The solitary man described in the passage is dead.

(B)

Strangers helped create a grand reputation for the solitary man described in the passage.

(C)

The solitary man described in the passage found joy in scattering fruits.

(D)

The solitary man worked in a court where he fell ill.

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q43

MCQ[1 Mark]

If '->' denotes increasing order of intensity, then the meaning of the words [drizzle -> rain -> downpour] is analogous to [ -> quarrel -> 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

Q44

MCQ[2 Marks]

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) her writings that stand (iv) the freedom of speech.

(A)

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

(B)

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

(C)

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

(D)

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

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q45

MCQ[1 Mark]

The line ran ________ the page, right through the centre, and divided the page into two.

(A)

across

(B)

of

(C)

between

(D)

about

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q46

MCQ[1 Mark]

Kind : ________ :: Often : Seldom (By word meaning)

(A)

Cruel

(B)

Variety

(C)

Type

(D)

Kindred

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q47

MCQ[2 Marks]

Elvesland is a country that has peculiar beliefs and practices... Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty? (i) In Elvesland, one always declares one's love by gifting a white flower. (ii) In Elvesland, all emotions are declared by gifting flowers. (iii) In Elvesland, sometimes one expresses one's anger by gifting a flower that is not yellow. (iv) In Elvesland, sometimes one expresses one's love by gifting a white flower.

(A)

only (ii)

(B)

(i), (ii) and (iii)

(C)

(i), (iii) and (iv)

(D)

only (iv)

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q48

MCQ[2 Marks]

Based only on the following passage, which one of the options can be inferred with certainty? [Excerpt from These Hills Called Home by Temsula Ao]

(A)

The mother was embarrassed about her daughter's singing at home.

(B)

The mother's feelings about her daughter's singing at home were only of annoyance.

(C)

The mother was not sure if Apenyo had inherited her love of singing from her father.

(D)

When Apenyo hummed at home, her mother tended to become thoughtful.

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q49

MCQ[1 Mark]

Mr. X speaks neither Japanese nor Chinese.

(A)

neither/or

(B)

either/nor

(C)

neither / nor

(D)

also / but

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q50

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. Which 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