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Quantitative Aptitude(25)Data Interpretation(11)Verbal Ability(14)

Quantitative Aptitude

25 Questions

GATE→2026→General Aptitude→Quantitative Aptitude

Q1

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

(A)

Thursday

(B)

Friday

(C)

Saturday

(D)

Sunday

Explanation

GATE→2026→General Aptitude→Quantitative Aptitude

Q2

MCQ[2 Marks]

Circles 𝐶 , 𝐶 , and 𝐶 , with centers 𝑂 , 𝑂 , and 𝑂 , and radii 𝑟 , 𝑟 , and 𝑟 , 1 2 3 1 2 3 1 2 3 respectively, touch each other as shown in the following figure. Given 𝑟 = 2 cm, 1 𝑟 = 1 cm and the angle ∠𝑂 𝑂 𝑂 is 90°, 𝑟 = _____ cm. 2 1 3 2 3 (A) 1 (−3+√17 ) 2 (B) 1 (3+√17 ) 2 (C) 1 (−2+√17 ) 2 (D) 1 (−3+2√17 ) 2

(A)

1 (−3+√17 ) 2

(B)

1 (3+√17 ) 2

(C)

1 (−2+√17 ) 2

(D)

1 (−3+2√17 ) 2

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

The average marks obtained by a class in an examination were calculated as 30.8. However, while checking the marks entered, the teacher found that the marks of one student were entered incorrectly as 24 instead of 42. After correcting the marks, the average becomes 31.4. How many students does the class have?

(A)

25

(B)

28

(C)

30

(D)

32

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

Consider the relationships among P, Q, R, S, and T: • P is the brother of Q. • S is the daughter of Q. • T is the sister of S. • R is the mother of Q. The following statements are made based on the relationships given above. (1) R is the grandmother of S. (2) P is the uncle of S and T. (3) R has only one son. (4) Q has only one daughter. Which one of the following options is correct?

(A)

Both (1) and (2) are true.

(B)

Both (1) and (3) are true.

(C)

Only (3) is true.

(D)

Only (4) is true.

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q5

MCQ[2 Marks]

In the diagram, the lines QR and ST are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point P and line QR. What is the ratio of the area of the triangle PST to the area of the trapezium SQRT?

(A)

\frac{1}{3}

(B)

\frac{1}{4}

(C)

\frac{2}{5}

(D)

\frac{1}{2}

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q6

MCQ[2 Marks]

A fair six-faced dice, with the faces labelled '1', '2', '3', '4', '5', and '6', is rolled thrice. What is the probability of rolling '6' exactly once?

(A)

\frac{75}{216}

(B)

\frac{1}{6}

(C)

\frac{1}{18}

(D)

\frac{25}{216}

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to purchase 3 scoops of ice-cream, in how many ways can one make that purchase?

(A)

4

(B)

20

(C)

24

(D)

48

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q8

MCQ[1 Mark]

If two distinct non-zero real variables $x$ and $y$ are such that $(x+y)$ is proportional to $(x-y)$ then the value of $\frac{x}{y}$

(A)

depends on xy

(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

Q9

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

Q10

MCQ[1 Mark]

The number of coins of ₹1, 25 paise, and 10 paise denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in 25 paise coins is

(A)

21%

(B)

14 2/7 %

(C)

10%

(D)

30%

Explanation

GATE→2024→General Aptitude→Quantitative Aptitude

Q11

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

Q12

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 jubilant 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

Q13

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

Q14

MCQ[2 Marks]

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

(A)

3

(B)

5

(C)

7

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q15

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)

\frac{20}{7}

(B)

\frac{28}{5}

(C)

\frac{9}{2}

(D)

\frac{35}{4}

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q16

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

Q17

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

Q18

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

Q19

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

Q20

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

Q21

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. P, Q and R operate at a constant rate. If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously, 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

Q22

MCQ[1 Mark]

Six persons P, Q, R, S, T and U are sitting around a circular table facing the center not necessarily in the same order. Consider the following statements: • P sits next to S and T. • Q sits diametrically opposite to P. • The shortest distance between S and R is equal to the shortest distance between T and U. 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

Q23

MCQ[2 Marks]

A game consists of spinning an arrow around a stationary disk... Two such disks are used in a game where their arrows are independently spun. 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

Q24

MCQ[2 Marks]

Consider the following inequalities: (i) $3p-q<4$ (ii) $3q-p<12$ 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\ge16

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q25

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)

Piece Set A

(B)

Piece Set B

(C)

Piece Set C

(D)

Piece Set D

Explanation

Data Interpretation

11 Questions

GATE→2026→General Aptitude→Data Interpretation

Q26

MCQ[1 Mark]

To continue the sequence of tiles shown, the tile indicated by the question mark should be (A) (B) (C) (D)

(A)

(B)

(C)

(D)

Explanation

GATE→2026→General Aptitude→Data Interpretation

Q27

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

(A)

2

(B)

3

(C)

4

(D)

5

Explanation

GATE→2026→General Aptitude→Data Interpretation

Q28

MCQ[1 Mark]

A coin with heads facing up is shown as and a coin with tails facing up is shown as . 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

(A)

3

(B)

6

(C)

9

(D)

12

Explanation

GATE→2026→General Aptitude→Data Interpretation

Q29

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.

(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→Data Interpretation

Q30

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

(A)

0

(B)

15

(C)

20

(D)

10

Explanation

GATE→2026→General Aptitude→Data Interpretation

Q31

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

(A)

P

(B)

Q

(C)

R

(D)

S

Explanation

GATE→2025→General Aptitude→Data Interpretation

Q32

MCQ[1 Mark]

According to the map shown in the figure, which one of the following statements is correct? Note: The figure shown is representative.

(A)

The library is located to the northwest of the canteen.

(B)

The hospital is located to the east of the chemistry lab.

(C)

The chemistry lab is to the southeast of physics lab.

(D)

The classrooms and canteen are next to each other.

Explanation

GATE→2025→General Aptitude→Data Interpretation

Q33

MCQ[2 Marks]

A square paper, shown in figure (I), is folded along the dotted lines as shown in the figures (II) and (III). Then a few cuts are made as shown in figure (IV). Which one of the following patterns will be obtained when the paper is unfolded? Note: The figures shown are representative.

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2024→General Aptitude→Data Interpretation

Q34

MCQ[2 Marks]

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. [Pie chart: Carbohydrates 35%, Proteins 20%, Unsaturated fat 20%, Saturated fat 20%, Trans fat 5%] The typical energy density (kcal/g) for fats (unsaturated, saturated, trans) is 9 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→2023→General Aptitude→Data Interpretation

Q35

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→Data Interpretation

Q36

MCQ[1 Mark]

A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially. 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

Verbal Ability

14 Questions

GATE→2026→General Aptitude→Verbal Ability

Q37

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.

(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

Q38

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

(A)

Aggravate : Alleviate

(B)

Alleviate : Precipitate

(C)

Aggravate : Precipitate

(D)

Emancipate : Exonerate

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q39

MCQ[1 Mark]

Ravi had ______ younger brother who taught at ______ university. He was widely regarded as ______ honorable man. Select the option with the correct sequence of articles to fill in the blanks.

(A)

a; a; an

(B)

the; an; a

(C)

a; an; a

(D)

an; an; a

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q40

MCQ[1 Mark]

The CEO's decision to downsize the workforce was considered myopic because it sacrificed long-term stability to accommodate short-term gains. Select the most appropriate option that can replace the word "myopic" without changing the meaning of the sentence.

(A)

visionary

(B)

shortsighted

(C)

progressive

(D)

innovative

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q41

MCQ[2 Marks]

Based only on the information provided in the above passage (G.K. Chesterton's "A Piece of Chalk"), which one of the following statements is true?

(A)

The author of the passage carries a mirror in his pocket to reflect upon things.

(B)

The author of the passage had decided to write a poem on epics.

(C)

The pocket-knife is described as the infant of the sword.

(D)

Epics are described as too inconvenient to write.

Explanation

GATE→2024→General Aptitude→Verbal Ability

Q42

MCQ[1 Mark]

If '$\rightarrow$' 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

Q43

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 (ii) to bat; for, while he had a head (iii) batting, he could only do so with a cool head (iv) his shoulders.

(A)

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

(B)

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

(C)

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

(D)

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

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q44

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

Q45

MCQ[1 Mark]

Choose the word most analogous or matching by word meaning context to 'Guidelines : Implement :: References : _______'

(A)

Sight

(B)

Site

(C)

Cite

(D)

Plagiarise

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q46

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

Q47

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)

only (i)

(B)

only (iii) and (iv)

(C)

only (i) and (ii)

(D)

(i), (ii) and (iii)

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, is a critical component of diet worldwide. Climate change, causing extreme weather, poses a threat to sustained availability of rice. Scientists are working on developing Green Super Rice (GSR), which is resilient under extreme weather conditions yet gives higher yields sustainably. 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. Statement 1: Some engineers are writers. Statement 2: No writer is an actor. Statement 3: All actors are engineers. Conclusion I: Some writers are engineers. Conclusion II: All engineers are actors. Conclusion III: No actor is a writer. Conclusion IV: Some actors are writers. 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