Aptitude Mechanical previous year questions with answer

Ques 1 Gate 2024

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If ‘→’ denotes increasing order of intensity, then the meaning of the words [smile → giggle → laugh] is analogous to [disapprove → ________ → chide]. Which one of the given options is appropriate to fill the blank?

A

reprove

B

praise

C

reprise

D

grieve

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Ques 2 Gate 2024

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Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}

A

21

B

29

C

37

D

23

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Ques 3 Gate 2024

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Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw. If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?

A

3/8

B

1/8

C

1/16

D

3/16

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Ques 4 Gate 2024

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The real variables 𝑥, 𝑦, 𝑧, and the real constants 𝑝, 𝑞, 𝑟 satisfy

Given that the denominators are non-zero, the value of 𝑝𝑥 + 𝑞𝑦 + 𝑟𝑧 is

A

0

B

1

C

pqr

D

p²+q²+r²

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Ques 5 Gate 2024

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In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks.
Prof. P ___(i)___ merely a man who narrated funny stories. ___(ii)___ in his blackest moments he was capable of self-deprecating humor.
Prof. Q ___(iii)___ a man who hardly narrated funny stories. ___(iv)___ in his blackest moments was he able to find humor.

A

(i) was (ii) Only (iii) wasn’t (iv) Even

B

(i) was (ii) Even (iii) wasn’t (iv) Only

C

(i) wasn’t (ii) Even (iii) was (iv) Only

D

(i) wasn’t (ii) Only (iii) was (iv) Even

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Ques 6 Gate 2024

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A planar rectangular paper has two V-shaped pieces attached as shown below.

This piece of paper is folded to make the following closed three-dimensional object. The number of folds required to form the above object is

A

9

B

7

C

11

D

8

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Ques 7 Gate 2023

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The minute hand and second hand of a clock cross each other.............times between 09:15:00 AM and 09:45:00 AM on a day

A

29

B

30

C

15

D

31

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Ques 8 Gate 2023

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Consider the following inequalities p² – 4q < 4; 3p + 2q < 6 where p and q are positive integers. The value of (p + q).

A

1

B

2

C

3

D

4

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Ques 9 Gate 2023

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How many pairs of sets (S,T) are possible among the subsets of {1,2,3,4,5,6} that satisfy the condition that S is the subset of T?

A

665

B

664

C

729

D

728

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Ques 10 Gate 2023

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In a recently held parent teacher meeting, the teacher had very few complaints about Ravi. After all Ravi was a hardworking and kind student. Incidentally, almost all Ravi’s friend at school were hard working and king too. But the teacher drew attention to Ravi’s complete lack of interest in sports. The teacher believed that along with some of his friends who showed similar disinterest in sports. Ravi needed to engage in some sports for his overall development, which statement is logically correct.

A

Some of Ravi’s friends are hardworking and kind.

B

None of the Ravi’s friends are interested in sports.

C

All of Ravi’s friends are hardworking and kind.

D

No one who is not a friend of Ravi is hard working and kind.

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