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Quantitative Aptitude(29)Data Interpretation(1)Verbal Ability(10)

Quantitative Aptitude

29 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)

(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. 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. Then 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 in the following figure. 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→2024→General Aptitude→Quantitative Aptitude

Q9

MCQ[1 Mark]

The 15 parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The minimum number of colors required is

(A)

4

(B)

3

(C)

5

(D)

6

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q10

MCQ[1 Mark]

How many 4-digit positive integers divisible by 3 can be formed using only the digits $\{1, 3, 4, 6, 7\}$, such that no digit appears more than once in a number?

(A)

24

(B)

48

(C)

72

(D)

12

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q11

MCQ[1 Mark]

The sum of the following infinite series is $2 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{8} + \frac{1}{9} + \frac{1}{16} + \frac{1}{27} + \cdots$

(A)

11/3

(B)

9/2

(C)

5/2

(D)

7/2

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q12

MCQ[2 Marks]

The probability of having only three children with two girls and one boy is

(A)

3/8

(B)

1/3

(C)

1/4

(D)

1/2

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q13

MCQ[2 Marks]

Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table. - Person 1: A = ₹10,000, B = ₹20,000, C = ₹20,000 - Person 2: A = ₹20,000, B = ₹15,000, C = ₹15,000 At the end of one year, the total amount that Person 1 gets is ₹500 more than Person 2. The annual rate of return for the mutual funds B and C is 15% each. What is the annual rate of return for the mutual fund A?

(A)

7.5%

(B)

10%

(C)

15%

(D)

20%

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q14

MCQ[2 Marks]

Three different views of a dice are shown in the figure below. The piece of paper that can be folded to make this dice is

(A)

Option (A)

(B)

Option (B)

(C)

Option (C)

(D)

Option (D)

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q15

MCQ[2 Marks]

Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?

(A)

A rhombus

(B)

A triangle

(C)

An ellipse

(D)

A hexagon

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q16

MCQ[1 Mark]

Given a fair six-faced dice where the faces are labelled '1', '2', '3', '4', '5', and '6', what is the probability of getting a '1' on the first roll of the dice and a '4' on the second roll?

(A)

\frac{1}{36}

(B)

\frac{1}{6}

(C)

\frac{5}{6}

(D)

\frac{1}{3}

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q17

MCQ[1 Mark]

A recent survey shows that $65\%$ of tobacco users were advised to stop consuming tobacco. The survey also shows that 3 out of 10 tobacco users attempted to stop using tobacco. Based only on the information in the above passage, which one of the following options can be logically inferred with certainty?

(A)

A majority of tobacco users who were advised to stop consuming tobacco made an attempt to do so.

(B)

A majority of tobacco users who were advised to stop consuming tobacco did not attempt to do so.

(C)

Approximately 30% of tobacco users successfully stopped consuming tobacco.

(D)

Approximately 65% of tobacco users successfully stopped consuming tobacco.

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q18

MCQ[1 Mark]

How many triangles are present in the given figure?

(A)

12

(B)

16

(C)

20

(D)

24

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q19

MCQ[2 Marks]

Which one of the following options represents the given graph?

(A)

$f(x) = x^2 2^{-|x|}$

(B)

$f(x) = x 2^{-|x|}$

(C)

$f(x) = |x| 2^{-x}$

(D)

$f(x) = x 2^{-x}$

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q20

MCQ[2 Marks]

The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is

(A)

7

(B)

1

(C)

3

(D)

9

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q21

MCQ[2 Marks]

A square with sides of length $6\text{ cm}$ is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as shown. The area of the shaded region is _____ $\text{cm}^2$.

(A)

$9\pi$

(B)

18

(C)

20

(D)

$18\pi$

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q22

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

Q23

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

Q24

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 $4 \times 4$ grid using the unit squares as building blocks?

(A)

15

(B)

20

(C)

21

(D)

26

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q25

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 boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region) is within the line of sight. Which one of the following correctly represents the set of ALL possible locations among P, Q, R and S, where the security guard can be posted?

(A)

P and Q

(B)

Q

(C)

Q and S

(D)

R and S

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q26

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)

$x \le -4$

(B)

$-4 < x \le 4$

(C)

$4 < x < 5$

(D)

$x \ge 5$

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q27

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

Q28

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: - P: R has copied. - Q: S has copied. - R: P did not copy. - S: Only one of us is telling the truth. - T: R is telling the truth. Given that S never lies, the person who has copied in the exam is

(A)

R

(B)

P

(C)

Q

(D)

T

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q29

MCQ[2 Marks]

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively. Let X, Y and Z represent the following operations: - X: rotation of the square by 180 degree with respect to the S-Q axis. - Y: rotation of the square by 180 degree with respect to the P-R axis. - Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T. Consider the following three distinct sequences of operation: (1) XYZZ, (2) XY, (3) ZZZZ. Which one of the following statements is correct?

(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

Data Interpretation

1 Question

GATE→2024→General Aptitude→Data Interpretation

Q30

MCQ[1 Mark]

In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were $1,15,000$, out of which $5,000$ were invalid. Based on the data provided, the total number of valid votes received by the candidates B and C is

(A)

45,000

(B)

49,500

(C)

51,750

(D)

54,000

Explanation

Verbal Ability

10 Questions

GATE→2026→General Aptitude→Verbal Ability

Q31

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

Q32

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→2024→General Aptitude→Verbal Ability

Q33

MCQ[1 Mark]

If '$\rightarrow$' denotes increasing order of intensity, then the meaning of the words [sick $\rightarrow$ infirm $\rightarrow$ moribund] is analogous to [silly $\rightarrow$ _____ $\rightarrow$ daft]. Which one of the given options is appropriate to fill the blank?

(A)

frown

(B)

fawn

(C)

vein

(D)

vain

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q34

MCQ[2 Marks]

Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the ability to digest dairy milk. Based on the given passage, which of the following can be inferred?

(A)

All human beings can digest dairy milk.

(B)

No human being can digest dairy milk.

(C)

Digestion of dairy milk is essential for human beings.

(D)

In human beings, digestion of dairy milk is a consequence of mutation of gene.

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q35

MCQ[1 Mark]

Rafi told Mary, "I am thinking of watching a film this weekend." The following reports the above statement in indirect speech: Rafi told Mary that he _____ of watching a film that weekend.

(A)

thought

(B)

is thinking

(C)

am thinking

(D)

was thinking

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q36

MCQ[1 Mark]

Permit : _____ :: Enforce : Relax (By word meaning)

(A)

Allow

(B)

Forbid

(C)

License

(D)

Reinforce

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q37

MCQ[2 Marks]

Students of all the departments of a college who have successfully completed the registration process are eligible to vote in the upcoming college elections. However, by the time the due date for registration was over, it was found that surprisingly none of the students from the Department of Human Sciences had completed the registration process. Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty? (i) All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences. (ii) None of the students from departments other than Human Sciences failed to complete the registration process within the due time. (iii) All the eligible voters would certainly be students who are not from the Department of Human Sciences.

(A)

(i) and (ii)

(B)

(i) and (iii)

(C)

only (i)

(D)

only (iii)

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q38

MCQ[2 Marks]

Which one of the options does NOT describe the passage below or follow from it?

(A)

It is a reflection of why cancer seems so modern to most of us.

(B)

It tells us that modern cell biology uses and promotes metaphors of machinery.

(C)

Modern cell biology encourages metaphors of machinery, and cancer is often imagined as a machine.

(D)

Modern cell biology never uses figurative language, such as metaphors, to describe or explain anything.

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q39

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

Q40

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