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GATE ME 2024 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

GATE ME 2024 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

Materials, Manufacturing and Industrial Engineering

16 Qs

25% of total marks

Fluid Mechanics and Thermal Sciences

15 Qs

23% of total marks

Applied Mechanics and Design

15 Qs

23% of total marks

Engineering Mathematics

9 Qs

14% of total marks

Quantitative Aptitude

5 Qs

8% of total marks

Verbal Aptitude

2 Qs

3% of total marks

Spatial Aptitude

2 Qs

3% of total marks

Analytical 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

2024 PYQ

The phases present in pearlite are

Question 2

2024 PYQ

The “Earing” phenomenon in metal forming is associated with

Question 3

2024 PYQ

The grinding wheel used to provide the best surface finish is

Question 4

2024 PYQ

The velocity field of a two-dimensional, incompressible flow is given by V = 2 sinh x \hat{i} + v (x, y) \hat{j} where \hat{i} and \hat{j} denote the unit vectors in x and y directions, respectively. If v (x, 0) = cosh x, then v (0, - 1) is

Question 5

2024 PYQ

A plane, solid slab of thickness L, shown in the figure, has thermal conductivity k that varies with the spatial coordinate x as k = A + B x, where A and B are positive constants(A> 0, B> 0). The slab walls are maintained at fixed temperatures of T (x = 0) = 0 and T (x = L) = T_{0} > 0 . The slab has no internal heat sources. Considering one-dimensional heat transfer, which one of the following plots qualitatively depicts the steady-state temperature distribution within the slab?

Question 6

2024 PYQ

Consider incompressible laminar flow over a flat plate with freestream velocity of u_{\infty} . The Nusselt number corresponding to this flow velocity is N u_{1} . If the freestream velocity is doubled, the Nusselt number changes to N u_{2} . Choose the correct option for N u_{2} / N u_{1} .

Question 7

2024 PYQ

For a ball bearing, the fatigue life in millions of revolutions is given by L = (\frac{C}{P})^{n}, where P is the constant applied load and C is the basic dynamic load rating. Which one of the following statements is TRUE?

Question 8

2024 PYQ

The change in kinetic energy Δ E of an engine is 300 J, and minimum and maximum shaft speeds are ω_{min} = 220 rad/s and ω_{ma x} = 280 rad/s, respectively. Assume that the torque-time function is purely harmonic. To achieve a coefficient of fluctuation of 0.05, the moment of inertia(in kg.m^{2}) of the flywheel to be mounted on the engine shaft is

Question 9

2024 PYQ

A ram in the form of a rectangular body of size l = 9 m and b = 2 m is suspended by two parallel ropes of lengths 7 m. Assume the center-of-mass of the body is at its geometric center and g = 9.81 m/s^{2} . For striking the object P with a horizontal velocity of 5 m/s, what is the angle θ with the vertical from which the ram should be released from rest?

Question 10

2024 PYQ

In order to numerically solve the ordinary differential equation \frac{d y}{d t} = - y for t > 0, with an initial condition y (0) = 1, the following scheme is employed \frac{y _{n + 1} - y _{n}}{Δ t} = - \frac{1}{2} (y_{n + 1} + y_{n}) . Here, Δ t is the time step and y_{n} = y (n Δ t) for n = 0, 1, 2, .... This numerical scheme will yield a solution with non-physical oscillations for Δ t > h . The value of h is

Question 11

2024 PYQ

The value of the surface integral \iint_{S} z d x d y where S is the external surface of the sphere x^{2} + y^{2} + z^{2} = R^{2} is

Question 12

2024 PYQ

Let f (z) be an analytic function, where z = x + i y . If the real part of f (z) is cosh x cos y, and the imaginary part of f (z) is zero for y = 0, then f (z) is

Question 13

2024 PYQ

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

Question 14

2024 PYQ

In the following series, identify the number that needs to be changed to form the Fibonacci series. 1, 1, 2, 3, 6, 8, 13, 21,...

Question 15

2024 PYQ

The real variables x, y, z, and the real constants p, q, r satisfy \frac{x}{pq - r ^{2}} = \frac{y}{q r - p ^{2}} = \frac{z}{r p - q ^{2}} Given that the denominators are non-zero, the value of p x + q y + r z is

Question 16

2024 PYQ

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

Question 17

2024 PYQ

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.

Question 18

2024 PYQ

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

Question 19

2024 PYQ

Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is

Question 20

2024 PYQ

How many combinations of non-null sets A, B, C are possible from the subsets of {2, 3, 5} satisfying the conditions:(i) A is a subset of B, and(ii) B is a subset of C?

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GATE ME 2024 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

GATE ME 2024 previous year paper: 65 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

Paper breakdown

65 questions · 100 marks. Materials, Manufacturing and Industrial Engineering: 16 · Fluid Mechanics and Thermal Sciences: 15 · Applied Mechanics and Design: 15 · Engineering Mathematics: 9 · Quantitative Aptitude: 5 · Verbal Aptitude: 2 · Spatial Aptitude: 2 · Analytical Aptitude: 1

Free sample questions from GATE ME 2024 Question Paper

Question 1 · Materials, Manufacturing and Industrial Engineering · 2024 MCQ

The phases present in pearlite are

A.
austenite and ferrite
B.
cementite and austenite
C.
ferrite and cementite
D.
martensite and ferrite

Question 2 · Materials, Manufacturing and Industrial Engineering · 2024 MCQ

The “Earing” phenomenon in metal forming is associated with

A.
deep drawing
B.
rolling
C.
extrusion
D.
forging

Question 3 · Materials, Manufacturing and Industrial Engineering · 2024 MCQ

The grinding wheel used to provide the best surface finish is

A.
A36L5V
B.
A54L5V
C.
A60L5V
D.
A80L5V

Question 4 · Fluid Mechanics and Thermal Sciences · 2024 MCQ

The velocity field of a two-dimensional, incompressible flow is given by

V = 2 sinh x \hat{i} + v (x, y) \hat{j}

where

\hat{i}

and

\hat{j}

denote the unit vectors in x and y directions, respectively. If

v (x, 0) = cosh x

, then

v (0, - 1)

A.
1
B.
2
C.
3
D.
4

Question 5 · Fluid Mechanics and Thermal Sciences · 2024 MCQ

A plane, solid slab of thickness L, shown in the figure, has thermal conductivity k that varies with the spatial coordinate x as

k = A + B x

, where A and B are positive constants(A> 0, B> 0). The slab walls are maintained at fixed temperatures of

T (x = 0) = 0

and

T (x = L) = T_{0} > 0

. The slab has no internal heat sources.
Considering one-dimensional heat transfer, which one of the following plots qualitatively depicts the steady-state temperature distribution within the slab?

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

Question 6 · Fluid Mechanics and Thermal Sciences · 2024 MCQ

Consider incompressible laminar flow over a flat plate with freestream velocity of $u_{\infty}$ . The Nusselt number corresponding to this flow velocity is $N u_{1}$ . If the freestream velocity is doubled, the Nusselt number changes to $N u_{2}$ . Choose the correct option for $N u_{2} / N u_{1}$ .

A.
$2$
B.
2
C.
1.26
D.
1

Question 7 · Applied Mechanics and Design · 2024 MCQ

For a ball bearing, the fatigue life in millions of revolutions is given by $L = (\frac{C}{P})^{n}$ , where P is the constant applied load and C is the basic dynamic load rating. Which one of the following statements is TRUE?

A.
n= 3, assuming that the inner racing is fixed and outer racing is revolving
B.
n= 1/3, assuming that the inner racing is fixed and outer racing is revolving
C.
n= 3, assuming that the outer racing is fixed and inner racing is revolving
D.
n= 1/3, assuming that the outer racing is fixed and inner racing is revolving

Question 8 · Applied Mechanics and Design · 2024 MCQ

The change in kinetic energy $Δ E$ of an engine is 300 J, and minimum and maximum shaft speeds are $ω_{min} = 220$ rad/s and $ω_{ma x} = 280$ rad/s, respectively. Assume that the torque-time function is purely harmonic. To achieve a coefficient of fluctuation of 0.05, the moment of inertia(in kg.m $^{2}$ ) of the flywheel to be mounted on the engine shaft is

A.
0.113
B.
0.096
C.
0.071
D.
0.053

Question 9 · Applied Mechanics and Design · 2024 MCQ

A ram in the form of a rectangular body of size $l = 9$ m and $b = 2$ m is suspended by two parallel ropes of lengths 7 m. Assume the center-of-mass of the body is at its geometric center and $g = 9.81$ m/s $^{2}$ . For striking the object P with a horizontal velocity of 5 m/s, what is the angle $θ$ with the vertical from which the ram should be released from rest?

A.
$67. 1^{\circ}$
B.
$40. 2^{\circ}$
C.
$35. 1^{\circ}$
D.
$79. 5^{\circ}$

Question 10 · Engineering Mathematics · 2024 MCQ

In order to numerically solve the ordinary differential equation

\frac{d y}{d t} = - y

for

t > 0

, with an initial condition

y (0) = 1

, the following scheme is employed

\frac{y _{n + 1} - y _{n}}{Δ t} = - \frac{1}{2} (y_{n + 1} + y_{n})

.
Here,

Δ t

is the time step and

y_{n} = y (n Δ t)

for

n = 0, 1, 2, ....

This numerical scheme will yield a solution with non-physical oscillations for

Δ t > h

. The value of

h

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

Question 11 · Engineering Mathematics · 2024 MCQ

The value of the surface integral

\iint_{S} z d x d y

where S is the external surface of the sphere

x^{2} + y^{2} + z^{2} = R^{2}

A.
0
B.
$4 π R^{3}$
C.
$\frac{4 π}{3} R^{3}$
D.
$π R^{3}$

Question 12 · Engineering Mathematics · 2024 MCQ

Let $f (z)$ be an analytic function, where $z = x + i y$ . If the real part of $f (z)$ is $cosh x cos y$ , and the imaginary part of $f (z)$ is zero for $y = 0$ , then $f (z)$ is

A.
$cosh x exp (- i y)$
B.
$cosh z exp z$
C.
$cosh z cos y$
D.
$cosh z$

Question 13 · Quantitative Aptitude · 2024 MCQ

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

A.
21
B.
29
C.
37
D.
23

Question 14 · Quantitative Aptitude · 2024 MCQ

In the following series, identify the number that needs to be changed to form the Fibonacci series.
1, 1, 2, 3, 6, 8, 13, 21,...

A.
8
B.
21
C.
6
D.
13

Question 15 · Quantitative Aptitude · 2024 MCQ

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

\frac{x}{pq - r ^{2}} = \frac{y}{q r - p ^{2}} = \frac{z}{r p - q ^{2}}

Given that the denominators are non-zero, the value of

p x + q y + r z

A.
0
B.
1
C.
pqr
D.
$p^{2} + q^{2} + r^{2}$

Question 16 · Verbal Aptitude · 2024 MCQ

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

Question 17 · Verbal Aptitude · 2024 MCQ

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

Question 18 · Spatial Aptitude · 2024 MCQ

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

Question 19 · Spatial Aptitude · 2024 MCQ

Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is

A.
$3 0^{\circ}$
B.
$6 0^{\circ}$
C.
$4 5^{\circ}$
D.
$9 0^{\circ}$

Question 20 · Analytical Aptitude · 2024 MCQ

How many combinations of non-null sets A, B, C are possible from the subsets of {2, 3, 5} satisfying the conditions:(i) A is a subset of B, and(ii) B is a subset of C?

A.
28
B.
27
C.
18
D.
19

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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 2024 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

Paper breakdown

Free sample questions from GATE ME 2024 Question Paper

Other GATE ME papers