Mechanical Engineering Gate 2025 Questions with Answer

Ques 14 GATE 2025


Consider a velocity field &vec;V=3z î+0 ĵ+Cx k̂, where C is a constant. If the flow is irrotational, the value of C is ______ (rounded off to 1 decimal place).


(1.0) is the correct answer.

Ques 15 GATE 2025


Consider a Pelton wheel of 1 m diameter. The magnitude of relative velocity of water at the bucket inlet is same as the magnitude of relative velocity of water at the bucket exit. The absolute speed of water at the bucket inlet is 125.66 m s-1. For maximum power output from the Pelton wheel, the rpm of the Pelton wheel is ______ (rounded off to 1 decimal place).


(1200.0) is the correct answer.

Ques 16 GATE 2025


Fish: Shoal :: Lion: _____
Select the correct option to complete the analogy.

A

Pride

B

School

C

Forest

D

Series


(a) is the correct answer.

Ques 17 GATE 2025


Identify the grammatically correct sentence:

A

It is I who am responsible for this fiasco.

B

It is myself who is responsible for this fiasco.

C

It is I who is responsible for this fiasco.

D

It is I who are responsible for this fiasco.


(a) is the correct answer.

Ques 18 GATE 2025


Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h. Car P travels continuously but car Q stops for some time after travelling for one hour. If both the cars are at the same distance from X at 11:30 AM, for how long (in minutes) did car Q stop?

A

10

B

12

C

15

D

18


(a) is the correct answer.

Ques 19 GATE 2025


The ceiling function of a real number x, denoted by ce(x), is defined as the smallest integer that is greater than or equal to x. Similarly, the floor function, denoted by fl(x) is defined as the largest integer that is smaller than or equal to x. Which one of the following statements is NOT correct for all possible values of x?

A

ce(x)≥x

B

fl(x)≤x

C

ce(x)≥fl(x)

D

fl(x)


(d) is the correct answer.

Ques 20 GATE 2025


P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches and lost 5% of the matches.
If they play 3 more matches, what is the probability of P winning exactly 2 of these 3 matches?

A

48/125

B

16/125

C

16/25

D

25/48


(a) is the correct answer.

Ques 21 GATE 2025


Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:
P. At once, without thinking much, people rushed towards the city in hordes with the sole aim of grabbing as much gold as they could.
Q. However, little did they realize about the impending hardships they would have to face on their way to the city: miles of mud, unfriendly forests, hungry beasts and inimical local lords all of which would reduce their chances of getting gold to almost zero.
R. All of them thought that easily they could lay their hands on gold and become wealthy overnight.
S. About a hundred years ago, the news that gold had been discovered in Kolar spread like wildfire and the whole State was in raptures.

A

P→Q→R→S

B

Q→S→R→P

C

S→Q→P→R

D

S→P→R→Q


(d) is the correct answer.

Ques 22 GATE 2025


If HIDE and CAGE are coded as 19-23-7-11 and 5-2-17-11 respectively, then what is the code for HIGH?

A

5-17-1-2

B

17-19-13-17

C

13-3-1-2

D

19-23-17-19


(b) is the correct answer.

Ques 23 GATE 2025


The given figure is reflected about the horizontal dashed line and then rotated clockwise by 90° about an axis perpendicular to the plane of the figure.
Which one of the following options correctly shows the resultant figure?
Note: The figures shown are representative.

A

B

C

D


(a) is the correct answer.

Ques 24 GATE 2025


Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?

A

Circle; Square; Equilateral triangle; Isosceles triangle

B

Isosceles triangle; Equilateral triangle; Square; Circle

C

Equilateral triangle; Isosceles triangle; Square; Circle

D

Isosceles triangle; Square; Equilateral triangle; Circle


(b) is the correct answer.

Ques 25 GATE 2025


A final year student appears for placement interview in two companies, S and T. Based on her interview performance, she estimates the probability of receiving job offers from companies S and T to be 0.8 and 0.6, respectively. Let p be the probability that she receives job offers from both the companies. Select the most appropriate option.

A

0≤p≤0.2

B

0.4≤p≤0.6

C

0.2≤p≤0.4

D

0.6≤p≤1.0


(b) is the correct answer.

Ques 26 GATE 2025


Consider a cylindrical furnace of 5 m diameter and 5 m length with bottom, top and curved surfaces maintained at uniform temperatures of 800 K, 1500 K and 500 K, respectively. The view factor between the bottom and top surfaces, F12 is 0.2. The magnitude of net radiation heat transfer rate between the bottom surface and the curved surface is ______ kW (rounded off to 1 decimal place).
All surfaces of the furnace can be assumed as black.
The Stefan-Boltzmann constant, σ=5.67×10-8 W m-2K-4.


(140.0) is the correct answer.

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