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GATE ME 2021 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

GATE ME 2021 previous year paper: 65 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

65 Qs

Total Questions

100 Marks

Total Marks

0 Mins

Duration

Section-wise Paper Structure

Fluid Mechanics and Thermal Sciences

16 Qs

25% of total marks

Applied Mechanics and Design

16 Qs

25% of total marks

Materials, Manufacturing and Industrial Engineering

14 Qs

22% of total marks

Engineering Mathematics

9 Qs

14% of total marks

Quantitative Aptitude

4 Qs

6% of total marks

Analytical Aptitude

4 Qs

6% of total marks

Verbal Aptitude

1 Qs

2% of total marks

Spatial Aptitude

1 Qs

2% of total marks

Free Solved Questions with Step-by-Step Solutions

Authentic examination problems with detailed derivations and answer keys.

Question 1

2021 PYQ

In which of the following pairs of cycles, both cycles have at least one isothermal process?

Question 2

2021 PYQ

Superheated steam at 1500 kPa, has a specific volume of 2.75 m<sup>3</sup>/kmol and compressibility factor (Z) of 0.95. The temperature of steam is______°C (round off to the nearest integer).

Question 3

2021 PYQ

A hot steel spherical ball is suddenly dipped into a low temperature oil bath. Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart?

Question 4

2021 PYQ

The loading and unloading response of a metal is shown in the figure. The elastic and plastic strains corresponding to 200 MPa stress, respectively, are

Question 5

2021 PYQ

Consider a reciprocating engine with crank radius R and connecting rod of length L. The secondary unbalance force for this case is equivalent to primary unbalance force due to a virtual crank of _______

Question 6

2021 PYQ

A cantilever beam of length, L, and flexural rigidity, EI, is subjected to an end moment, M, as shown in the figure. The deflection of the beam at x = \frac{L}{2} is

Question 7

2021 PYQ

In a machining operation, if a cutting tool traces the workpiece such that the directrix is perpendicular to the plane of the generatrix as shown in figure, the surface generated is

Question 8

2021 PYQ

The correct sequence of machining operations to be performed to finish a large diameter through hole is

Question 9

2021 PYQ

In modern CNC machine tools, the backlash has been eliminated by

Question 10

2021 PYQ

If y(x) satisfies the differential equation (sin x) \frac{d y}{d x} + y cos x = 1, subject to the condition y (π /2) = π /2, then y (π /6) is

Question 11

2021 PYQ

The value of lim_{x \to 0} (\frac{1 - c o s x}{x ^{2}}) is

Question 12

2021 PYQ

The Dirac-delta function (δ (t - t_{0})) for t, t_{0} \in R, has the following property \int_{a}^{b} ϕ (t) δ (t - t_{0}) d t = {ϕ (t_{0}) 0 a < t_{0} < b otherwise The Laplace transform of the Dirac-delta function δ (t - a) for a > 0; L (δ (t - a)) = F (s) is

Question 13

2021 PYQ

In the above figure, O is the center of the circle and, M and N lie on the circle. The area of the right triangle MON is 50 cm 2 . What is the area of the circle in cm 2 ?

Question 14

2021 PYQ

If " \oplus " means " - ", " \otimes " means " \div ", " Δ " means " + ", " \nabla " means " \times ", then, the value of the expression (2 \oplus 3) Δ (4 \otimes 2) \nabla4 is

Question 15

2021 PYQ

The number of hens, ducks and goats in farm P are 65, 91 and 169, respectively. The total number of hens, ducks and goats in a nearby farm Q is 416. The ratio of hens:ducks:goats in farm Q is 5:14:13. All the hens, ducks and goats are sent from farm Q to farm P. The new ratio of hens:ducks:goats in farm P is_____

Question 16

2021 PYQ

Ms. X came out of a building through its front door to find her shadow due to the morning sun falling to her right side with the building to her back. From this, it can be inferred that building is facing_________

Question 17

2021 PYQ

“The increased consumption of leafy vegetables in the recent months is a clear indication that the people in the state have begun to lead a healthy lifestyle” Which of the following can be logically inferred from the information presented in the above statement?

Question 18

2021 PYQ

Oxpeckers and rhinos manifest a symbiotic relationship in the wild. The oxpeckers warn the rhinos about approaching poachers, thus possibly saving the lives of the rhinos. Oxpeckers also feed on the parasitic ticks found on rhinos. In the symbiotic relationship described above, the primary benefits for oxpeckers and rhinos respectively are,

Question 19

2021 PYQ

Consider the following sentences: (i) After his surgery, Raja hardly could walk. (ii) After his surgery, Raja could barely walk. (iii) After his surgery, Raja barely could walk. (iv) After his surgery, Raja could hardly walk. Which of the above sentences are grammatically CORRECT?

Question 20

2021 PYQ

A jigsaw puzzle has 2 pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

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GATE ME 2021 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

GATE ME 2021 previous year paper: 65 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

Paper breakdown

65 questions · 100 marks. Fluid Mechanics and Thermal Sciences: 16 · Applied Mechanics and Design: 16 · Materials, Manufacturing and Industrial Engineering: 14 · Engineering Mathematics: 9 · Quantitative Aptitude: 4 · Analytical Aptitude: 4 · Verbal Aptitude: 1 · Spatial Aptitude: 1

Free sample questions from GATE ME 2021 Question Paper

Question 1 · Fluid Mechanics and Thermal Sciences · 2021 MCQ

In which of the following pairs of cycles, both cycles have at least one isothermal process?

A.
Diesel cycle and Otto cycle
B.
Carnot cycle and Stirling cycle
C.
Brayton cycle and Rankine cycle
D.
Bell-Coleman cycle and Vapour compression refrigeration cycle

Question 2 · Fluid Mechanics and Thermal Sciences · 2021 MCQ

Superheated steam at 1500 kPa, has a specific volume of 2.75 m<sup>3</sup>/kmol and compressibility factor (Z) of 0.95. The temperature of steam is______°C (round off to the nearest integer).

A.
522
B.
471
C.
249
D.
198

Question 3 · Fluid Mechanics and Thermal Sciences · 2021 MCQ

A hot steel spherical ball is suddenly dipped into a low temperature oil bath.
Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart?

A.
Biot number and Fourier number
B.
Reynolds number and Prandtl number
C.
Biot number and Froude number
D.
Nusselt number and Grashoff number

Question 4 · Applied Mechanics and Design · 2021 MCQ

The loading and unloading response of a metal is shown in the figure. The elastic and plastic strains corresponding to 200 MPa stress, respectively, are

A.
0.01 and 0.01
B.
0.02 and 0.01
C.
0.01 and 0.02
D.
0.02 and 0.02

Question 5 · Applied Mechanics and Design · 2021 MCQ

Consider a reciprocating engine with crank radius R and connecting rod of length L. The secondary unbalance force for this case is equivalent to primary unbalance force due to a virtual crank of _______

A.
radius $\frac{L ^{2}}{4 R}$ rotating at half the engine speed
B.
radius $\frac{R}{4}$ rotating at half the engine speed
C.
radius $\frac{R ^{2}}{4 L}$ rotating at twice the engine speed
D.
radius $\frac{L}{2}$ rotating at twice the engine speed

Question 6 · Applied Mechanics and Design · 2021 MCQ

A cantilever beam of length, L, and flexural rigidity, EI, is subjected to an end moment, M, as shown in the figure. The deflection of the beam at $x = \frac{L}{2}$ is

A.
$\frac{M L ^{2}}{2 E I}$
B.
$\frac{M L ^{2}}{4 E I}$
C.
$\frac{M L ^{2}}{8 E I}$
D.
$\frac{M L ^{2}}{16 E I}$

Question 7 · Materials, Manufacturing and Industrial Engineering · 2021 MCQ

In a machining operation, if a cutting tool traces the workpiece such that the directrix is perpendicular to the plane of the generatrix as shown in figure, the surface generated is

A.
plane
B.
cylindrical
C.
spherical
D.
a surface of revolution

Question 8 · Materials, Manufacturing and Industrial Engineering · 2021 MCQ

The correct sequence of machining operations to be performed to finish a large diameter through hole is

A.
drilling, boring, reaming
B.
boring, drilling, reaming
C.
drilling, reaming, boring
D.
boring, reaming, drilling

Question 9 · Materials, Manufacturing and Industrial Engineering · 2021 MCQ

In modern CNC machine tools, the backlash has been eliminated by

A.
preloaded ballscrews
B.
rack and pinion
C.
ratchet and pinion
D.
slider crank mechanism

Question 10 · Engineering Mathematics · 2021 MCQ

If y(x) satisfies the differential equation

(sin x) \frac{d y}{d x} + y cos x = 1

,
subject to the condition

y (π /2) = π /2

, then

y (π /6)

A.
0
B.
$\frac{π}{6}$
C.
$\frac{π}{3}$
D.
$\frac{π}{2}$

Question 11 · Engineering Mathematics · 2021 MCQ

The value of $lim_{x \to 0} (\frac{1 - c o s x}{x ^{2}})$ is

A.
$\frac{1}{4}$
B.
$\frac{1}{3}$
C.
$\frac{1}{2}$
D.
1

Question 12 · Engineering Mathematics · 2021 MCQ

The Dirac-delta function

(δ (t - t_{0}))

for

t, t_{0} \in R

, has the following property

\int_{a}^{b} ϕ (t) δ (t - t_{0}) d t = {ϕ (t_{0}) 0 a < t_{0} < b otherwise

The Laplace transform of the Dirac-delta function

δ (t - a)

for

a > 0

;

L (δ (t - a)) = F (s)

A.
0
B.
$\infty$
C.
$e^{s a}$
D.
$e^{- s a}$

Question 13 · Quantitative Aptitude · 2021 MCQ

In the above figure, O is the center of the circle and, M and N lie on the circle.
The area of the right triangle MON is 50 cm².
What is the area of the circle in cm²?

A.
2π
B.
50π
C.
75π
D.
100π

Question 14 · Quantitative Aptitude · 2021 MCQ

If "

\oplus

" means "

-

", "

\otimes

" means "

\div

", "

Δ

" means "

+

", "

\nabla

" means "

\times

",
then, the value of the expression

(2 \oplus 3) Δ (4 \otimes 2) \nabla4

A.
-1
B.
-0.5
C.
6
D.
7

Question 15 · Quantitative Aptitude · 2021 MCQ

The number of hens, ducks and goats in farm P are 65, 91 and 169, respectively. The total number of hens, ducks and goats in a nearby farm Q is 416. The ratio of hens:ducks:goats in farm Q is 5:14:13. All the hens, ducks and goats are sent from farm Q to farm P.
The new ratio of hens:ducks:goats in farm P is_____

A.
5:7:13
B.
5:14:13
C.
10:21:26
D.
21:10:26

Question 16 · Analytical Aptitude · 2021 MCQ

Ms. X came out of a building through its front door to find her shadow due to the morning sun falling to her right side with the building to her back.
From this, it can be inferred that building is facing_________

A.
North
B.
East
C.
West
D.
South

Question 17 · Analytical Aptitude · 2021 MCQ

“The increased consumption of leafy vegetables in the recent months is a clear indication that the people in the state have begun to lead a healthy lifestyle” Which of the following can be logically inferred from the information presented in the above statement?

A.
The people in the state did not consume leafy vegetables earlier.
B.
Consumption of leafy vegetables may not be the only indicator of healthy lifestyle.
C.
Leading a healthy lifestyle is related to a diet with leafy vegetables.
D.
The people in the state have increased awareness of health hazards causing by consumption of junk foods.

Question 18 · Analytical Aptitude · 2021 MCQ

Oxpeckers and rhinos manifest a symbiotic relationship in the wild. The oxpeckers warn the rhinos about approaching poachers, thus possibly saving the lives of the rhinos. Oxpeckers also feed on the parasitic ticks found on rhinos.
In the symbiotic relationship described above, the primary benefits for oxpeckers and rhinos respectively are,

A.
Oxpeckers get a food source, rhinos have no benefit.
B.
Oxpeckers save their habitat from poachers while the rhinos have no benefit.
C.
Oxpeckers get a food source, rhinos may be saved from the poachers.
D.
Oxpeckers save the lives of poachers, rhinos save their own lives.

Question 19 · Verbal Aptitude · 2021 MCQ

Consider the following sentences: (i) After his surgery, Raja hardly could walk.
(ii) After his surgery, Raja could barely walk.
(iii) After his surgery, Raja barely could walk.
(iv) After his surgery, Raja could hardly walk.
Which of the above sentences are grammatically CORRECT?

A.
(i) and (ii)
B.
(i) and (iii)
C.
(iii) and (iv)
D.
(ii) and (iv)

Question 20 · Spatial Aptitude · 2021 MCQ

A jigsaw puzzle has 2 pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

A.
Figure (A)
B.
Figure (B)
C.
Figure (C)
D.
Figure (D)

Free Solved Questions with Step-by-Step Solutions

Unlock All 65 Questions in Real Examination Mode

More GATE ME Previous Year Papers

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More Preparation Resources for ME

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Official Question Papers

Chapter-wise Practice

Weightage & Syllabus

Personalised first. High quality throughout.

Built around you, not around a syllabus PDF

Revision that hits your weak spots

Questions calibrated to the real exam

Notes written for recall, not for volume

One place for everything

Honest progress

Unlock the whole course

GATE ME 2021 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

Paper breakdown

Free sample questions from GATE ME 2021 Question Paper

Other GATE ME papers