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GATE ME 2023 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

GATE ME 2023 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

Applied Mechanics and Design

16 Qs

25% of total marks

Materials, Manufacturing and Industrial Engineering

15 Qs

23% of total marks

Fluid Mechanics and Thermal Sciences

15 Qs

23% of total marks

Engineering Mathematics

9 Qs

14% of total marks

Quantitative Aptitude

4 Qs

6% of total marks

Verbal Aptitude

3 Qs

5% of total marks

Analytical Aptitude

2 Qs

3% 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

2023 PYQ

The effective stiffness of a cantilever beam of length L and flexural rigidity EI subjected to a transverse tip load W is

Question 2

2023 PYQ

The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid?

Question 3

2023 PYQ

A beam is undergoing pure bending as shown in the figure. The stress (σ) -strain (ϵ) curve for the material is also given. The yield stress of the material is σ_{Y} . Which of the option(s) given represent(s) the bending stress distribution at cross-section AA after plastic yielding?

Question 4

2023 PYQ

With reference to the Economic Order Quantity(EOQ) model, which one of the options given is correct?

Question 5

2023 PYQ

Which one of the options given represents the feasible region of the linear programming model: Maximize 45 X_{1} + 60 X_{2} X_{1} \leq 45, X_{2} \leq 50, 10 X_{1} + 10 X_{2} \geq 600, 25 X_{1} + 5 X_{2} \leq 750

Question 6

2023 PYQ

A cuboidal part has to be accurately positioned first, arresting six degrees of freedom and then clamped in a fixture, to be used for machining. Locating pins in the form of cylinders with hemi-spherical tips are to be placed on the fixture for positioning. Four different configurations of locating pins are proposed as shown. Which one of the options given is correct?

Question 7

2023 PYQ

Air(density= 1.2 kg/m^{3}, kinematic viscosity= 1.5 \times 1 0^{- 5} m^{2} /s) flows over a flat plate with a free-stream velocity of 2 m/s. The wall shear stress at a location 15 mm from the leading edge is τ_{w} . What is the wall shear stress at a location 30 mm from the leading edge?

Question 8

2023 PYQ

Consider an isentropic flow of air(ratio of specific heats= 1.4) through a duct as shown in the figure. The variations in the flow across the cross-section are negligible. The flow conditions at Location 1 are given as follows: P_{1} = 100 kPa, ρ_{1} = 1.2 kg/m^{3}, u_{1} = 400 m/s The duct cross-sectional area at Location 2 is given by A_{2} = 2 A_{1}, where A_{1} denotes the duct cross-sectional area at Location 1. Which one of the given statements about the velocity u_{2} and pressure P_{2} at Location 2 is TRUE?

Question 9

2023 PYQ

Consider incompressible laminar flow of a constant property Newtonian fluid in an isothermal circular tube. The flow is steady with fully-developed temperature and velocity profiles. The Nusselt number for this flow depends on

Question 10

2023 PYQ

A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box containing 200 components produced by the machine follows a Poisson distribution. The mean and the variance of the distribution are

Question 11

2023 PYQ

The figure shows the plot of a function over the interval [- 4, 4] . Which one of the options given CORRECTLY identifies the function?

Question 12

2023 PYQ

A vector field B (x, y, z) = x \hat{i} + y \hat{j} - 2 z \hat{k} is defined over a conical region having height h = 2, base radius r = 3 and axis along z, as shown in the figure. The base of the cone lies in the x-y plane and is centered at the origin. If n denotes the unit outward normal to the curved surface S of the cone, the value of the integral \int_{S} B \cdot n d S equals_________.(Answer in integer)

Question 13

2023 PYQ

A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III?

Question 14

2023 PYQ

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.

Question 15

2023 PYQ

Consider the following inequalities p^{2} - 4 q < 4 3 p + 2 q < 6 where p and q are positive integers. The value of (p + q) is_______.

Question 16

2023 PYQ

He did not manage to fix the car himself, so he_______ in the garage.

Question 17

2023 PYQ

Planting: Seed:: Raising:_____(By word meaning)

Question 18

2023 PYQ

Which one of the sentence sequences in the given options creates a coherent narrative? (i) I could not bring myself to knock. (ii) There was a murmur of unfamiliar voices coming from the big drawing room and the door was firmly shut. (iii) The passage was dark for a bit, but then it suddenly opened into a bright kitchen. (iv) I decided I would rather wander down the passage.

Question 19

2023 PYQ

The symbols,, , and are to be filled, one in each box, as shown below. The rules for filling in the four symbols are as follows. 1) Every row and every column must contain each of the four symbols. 2) Every 2\times2 square delineated by bold lines must contain each of the four symbols. Which symbol will occupy the box marked with ‘ ’ in the partially filled figure?

Question 20

2023 PYQ

In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi’s friends at school were hardworking and kind too. But the teachers drew attention to Ravi’s complete lack of interest in sports. The teachers 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. Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

Question 21

2023 PYQ

An opaque pyramid(shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?

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GATE ME 2023 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

GATE ME 2023 previous year paper: 65 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

Paper breakdown

65 questions · 100 marks. Applied Mechanics and Design: 16 · Materials, Manufacturing and Industrial Engineering: 15 · Fluid Mechanics and Thermal Sciences: 15 · Engineering Mathematics: 9 · Quantitative Aptitude: 4 · Verbal Aptitude: 3 · Analytical Aptitude: 2 · Spatial Aptitude: 1

Free sample questions from GATE ME 2023 Question Paper

Question 1 · Applied Mechanics and Design · 2023 MCQ

The effective stiffness of a cantilever beam of length L and flexural rigidity EI subjected to a transverse tip load W is

A.
$\frac{3 E I}{L ^{3}}$
B.
$\frac{2 E I}{L ^{3}}$
C.
$\frac{L ^{3}}{2 E I}$
D.
$\frac{L ^{3}}{3 E I}$

Question 2 · Applied Mechanics and Design · 2023 MCQ

The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid?

Question 3 · Applied Mechanics and Design · 2023 MSQ

A beam is undergoing pure bending as shown in the figure. The stress

(σ)

-strain

(ϵ)

curve for the material is also given. The yield stress of the material is

σ_{Y}

.
Which of the option(s) given represent(s) the bending stress distribution at cross-section AA after plastic yielding?

Question 4 · Materials, Manufacturing and Industrial Engineering · 2023 MCQ

With reference to the Economic Order Quantity(EOQ) model, which one of the options given is correct?

A.
Curve P1: Total cost, Curve P2: Holding cost, Curve P3: Setup cost, and Curve P4: Production cost.
B.
Curve P1: Holding cost, Curve P2: Setup cost, Curve P3: Production cost, and Curve P4: Total cost.
C.
Curve P1: Production cost, Curve P2: Holding cost, Curve P3: Total cost, and Curve P4: Setup cost.
D.
Curve P1: Total cost, Curve P2: Production cost, Curve P3: Holding cost, and Curve P4: Setup cost.

Question 5 · Materials, Manufacturing and Industrial Engineering · 2023 MCQ

Which one of the options given represents the feasible region of the linear programming model:
Maximize

45 X_{1} + 60 X_{2}

X_{1} \leq 45

X_{2} \leq 50

10 X_{1} + 10 X_{2} \geq 600

25 X_{1} + 5 X_{2} \leq 750

A.
Region P
B.
Region Q
C.
Region R
D.
Region S

Question 6 · Materials, Manufacturing and Industrial Engineering · 2023 MCQ

A cuboidal part has to be accurately positioned first, arresting six degrees of freedom and then clamped in a fixture, to be used for machining. Locating pins in the form of cylinders with hemi-spherical tips are to be placed on the fixture for positioning. Four different configurations of locating pins are proposed as shown.
Which one of the options given is correct?

A.
Configuration P1 arrests 6 degrees of freedom, while Configurations P2 and P4 are over-constrained and Configuration P3 is under-constrained.
B.
Configuration P2 arrests 6 degrees of freedom, while Configurations P1 and P3 are over-constrained and Configuration P4 is under-constrained.
C.
Configuration P3 arrests 6 degrees of freedom, while Configurations P2 and P4 are over-constrained and Configuration P1 is under-constrained.
D.
Configuration P4 arrests 6 degrees of freedom, while Configurations P1 and P3 are over-constrained and Configuration P2 is under-constrained.

Question 7 · Fluid Mechanics and Thermal Sciences · 2023 MCQ

Air(density= 1.2 kg/m $^{3}$ , kinematic viscosity= $1.5 \times 1 0^{- 5}$ m $^{2}$ /s) flows over a flat plate with a free-stream velocity of 2 m/s. The wall shear stress at a location 15 mm from the leading edge is $τ_{w}$ . What is the wall shear stress at a location 30 mm from the leading edge?

A.
$τ_{w} /2$
B.
$2 τ_{w}$
C.
$2 τ_{w}$
D.
$τ_{w} / 2$

Question 8 · Fluid Mechanics and Thermal Sciences · 2023 MCQ

Consider an isentropic flow of air(ratio of specific heats= 1.4) through a duct as shown in the figure.
The variations in the flow across the cross-section are negligible. The flow conditions at Location 1 are given as follows:

P_{1} = 100

kPa,

ρ_{1} = 1.2

kg/m

^{3}

u_{1} = 400

m/s
The duct cross-sectional area at Location 2 is given by

A_{2} = 2 A_{1}

, where

A_{1}

denotes the duct cross-sectional area at Location 1. Which one of the given statements about the velocity

u_{2}

and pressure

P_{2}

at Location 2 is TRUE?

A.
$u_{2} < u_{1}, P_{2} < P_{1}$
B.
$u_{2} < u_{1}, P_{2} > P_{1}$
C.
$u_{2} > u_{1}, P_{2} < P_{1}$
D.
$u_{2} > u_{1}, P_{2} > P_{1}$

Question 9 · Fluid Mechanics and Thermal Sciences · 2023 MCQ

Consider incompressible laminar flow of a constant property Newtonian fluid in an isothermal circular tube. The flow is steady with fully-developed temperature and velocity profiles. The Nusselt number for this flow depends on

A.
neither the Reynolds number nor the Prandtl number
B.
both the Reynolds and Prandtl numbers
C.
the Reynolds number but not the Prandtl number
D.
the Prandtl number but not the Reynolds number

Question 10 · Engineering Mathematics · 2023 MCQ

A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box containing 200 components produced by the machine follows a Poisson distribution. The mean and the variance of the distribution are

A.
3 and 3, respectively
B.
$3$ and $3$ , respectively
C.
0.015 and 0.015, respectively
D.
3 and 9, respectively

Question 11 · Engineering Mathematics · 2023 MCQ

The figure shows the plot of a function over the interval $[- 4, 4]$ . Which one of the options given CORRECTLY identifies the function?

A.
$∣2 - x ∣$
B.
$∣2 - ∣ x ∣∣$
C.
$∣2 + ∣ x ∣∣$
D.
$2 - ∣ x ∣$

Question 12 · Engineering Mathematics · 2023 NAT

A vector field

B (x, y, z) = x \hat{i} + y \hat{j} - 2 z \hat{k}

is defined over a conical region having height

h = 2

, base radius

r = 3

and axis along z, as shown in the figure. The base of the cone lies in the x-y plane and is centered at the origin.
If n denotes the unit outward normal to the curved surface S of the cone, the value of the integral

\int_{S} B \cdot n d S

equals_________.(Answer in integer)

Question 13 · Quantitative Aptitude · 2023 MCQ

A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts.
What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III?

A.
22.7
B.
23.7
C.
15.0
D.
66.8

Question 14 · Quantitative Aptitude · 2023 MCQ

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.
30
B.
15
C.
29
D.
31

Question 15 · Quantitative Aptitude · 2023 MCQ

Consider the following inequalities

p^{2} - 4 q < 4

3 p + 2 q < 6

where p and q are positive integers.
The value of

(p + q)

is_______.

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

Question 16 · Verbal Aptitude · 2023 MCQ

He did not manage to fix the car himself, so he_______ in the garage.

A.
got it fixed
B.
getting it fixed
C.
gets fixed
D.
got fixed

Question 17 · Verbal Aptitude · 2023 MCQ

Planting: Seed:: Raising:_____
(By word meaning)

A.
Child
B.
Temperature
C.
Height
D.
Lift

Question 18 · Verbal Aptitude · 2023 MCQ

Which one of the sentence sequences in the given options creates a coherent narrative?
(i) I could not bring myself to knock.
(ii) There was a murmur of unfamiliar voices coming from the big drawing room and the door was firmly shut.
(iii) The passage was dark for a bit, but then it suddenly opened into a bright kitchen.
(iv) I decided I would rather wander down the passage.

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

Question 19 · Analytical Aptitude · 2023 MCQ

The symbols,, , and are to be filled, one in each box, as shown below.
The rules for filling in the four symbols are as follows.
1) Every row and every column must contain each of the four symbols.
2) Every 2×2 square delineated by bold lines must contain each of the four symbols.
Which symbol will occupy the box marked with ‘ ’ in the partially filled figure?

Question 20 · Analytical Aptitude · 2023 MCQ

In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi’s friends at school were hardworking and kind too. But the teachers drew attention to Ravi’s complete lack of interest in sports. The teachers 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.
Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

A.
All of Ravi’s friends are hardworking and kind.
B.
No one who is not a friend of Ravi is hardworking and kind.
C.
None of Ravi’s friends are interested in sports.
D.
Some of Ravi’s friends are hardworking and kind.

Question 21 · Spatial Aptitude · 2023 MCQ

An opaque pyramid(shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?

A.
P
B.
Q
C.
R
D.
S

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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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 2023 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

Paper breakdown

Free sample questions from GATE ME 2023 Question Paper

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