What are the questions asked in GATE 2022 Mechanical Engineering Set 1 exam?

Complete set of questions from GATE 2022 ME Set 1 exam covering Thermodynamics, Fluid Mechanics, Manufacturing Engineering, Strength of Materials, Heat Transfer, Machine Design, Theory of Machines, and more with detailed solutions.

Where can I download GATE 2022 Mechanical Engineering Set 1 question paper?

You can download the complete GATE 2022 Mechanical Engineering Set 1 question paper with solutions from ExamPrev. The PDF includes all questions with detailed explanations.

How many questions were in GATE 2022 ME Set 1 paper?

GATE 2022 Mechanical Engineering Set 1 paper consisted of 65 questions including MCQs, MSQs, and numerical answer type questions covering all major topics.

Are solutions provided for GATE 2022 ME Set 1 questions?

Yes, detailed step-by-step solutions with explanations are provided for all questions from GATE 2022 Mechanical Engineering Set 1 paper.

What is the difference between GATE 2022 Set 1 and Set 2?

GATE 2022 ME had two sets with different questions but similar difficulty levels and topic distribution. Both sets covered the same syllabus with equal weightage.

Mechanical Engineering Gate Yearwise

Mechanical Engineering Gate 2022 Set-1 Questions with Answer

1 2 3 4 5

Ques 40 Gate 2022 Set-1

The average of the monthly salaries of M, N and S is ₹ 4000. The average of the monthly salaries of N, S and P is ₹ 5000. The monthly salary of P is ₹ 6000.What is the monthly salary of M as a percentage of the monthly salary of P?

75%

100%

125%

(a) is the correct answer.

Ques 41 Gate 2022 Set-1

Solution of ∇²𝑇 = 0 in a square domain (0 < 𝑥 < 1 and 0 < 𝑦 < 1) with boundary conditions:

𝑇(𝑥, 0) = 𝑥; 𝑇(0, 𝑦) = 𝑦; 𝑇(𝑥, 1) = 1 + 𝑥; 𝑇(1, 𝑦) = 1 + 𝑦

is

T(x, y) = x − xy+ y

T(x,y)=x+y

T(x,y)=-x+y

T(x,y)=x+xy+y

(b) is the correct answer.

Ques 42 Gate 2022 Set-1

The Fourier series expansion of x³ in the interval −1 ≤ 𝑥 < 1 with periodic continuation has

only sine terms

only cosine terms

both sine and cosine terms

only sine terms and a non-zero constant

(a) is the correct answer.

Ques 43 GATE 2022 SET-1

The limit has a finite value for a real α. The value of α and the corresponding limit p are?

α = −3π, p = π

α = −2π, p = 2π

α = π, p = π

α = 2π, p = 3π

(b) is the correct answer.

Ques 44 GATE 2022 SET-1

Given a function 𝜑 = 1/2(x² + y² + z²) in three-dimensional Cartesian space, the value of the surface integral

where 𝑆 is the surface of a sphere of unit radius and 𝐧' is the outward unit normal vector on 𝑆, is

4π

3π

4π/3

(a) is the correct answer.

Ques 45 GATE 2022 SET-1

If is a symmetric matrix, the value of k is?

−0.4

(1 + √1561)/12

(b) is the correct answer.

Ques 46 GATE 2022 SET-1

The value of the integral

evaluated over a counter-clockwise circular contour in the complex plane enclosing only the pole z = i, where i is the imaginary unit, is?

(-1 + i)π

(1 + i)π

2(1 - i)π

(2 + i)π

Ques 47 GATE 2022 SET-1

The system of linear equations in real (x, y) given by

involves a real parameter 𝛼 and has infinitely many non-trivial solutions for special value(s) of 𝛼. Which one or more among the following options is/are non-trivial solution(s) of (𝑥,𝑦) for such special value(s) of 𝛼?

x = 2, y = -2

x = -1, y = 4

x = 1, y = 1

x = 4, y = -2

(a, b) is the correct answer.

Ques 48 GATE 2022 SET-1

Let a random variable X follow Poisson distribution such that

The value of Prob(X = 3) is __________ (round off to 2 decimal places).

(0.18) is the correct answer.

Ques 49 GATE 2022 SET-1

Consider two vectors
A⃗ = 5i + 7j + 2k
B⃗ = 3i - j + 6k.
Magnitude of the component of 𝑎⃗ orthogonal to 𝑏⃗ in the plane containing the vectors 𝑎⃗ and 𝑏⃗ is __________ (round off to 2 decimal places).

(5.92) is the correct answer.

Ques 50 GATE 2022 SET-1

In a linear programming problem, if a resource is not fully utilized, the shadow price of that resource is?

Positive

Negative

Zero

Infinity

Ques 51 GATE 2022 SET-1

Which one of the following is NOT a form of inventory?

Raw materials

Work-in-process materials

Finished goods

CNC Milling Machines

(d) is the correct answer.

Ques 52 GATE 2022 SET-1

Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE?

A body subjected to hydrostatic pressure has no shear stress.

If a long solid steel rod is subjected to tensile load, then its volume increases.

Maximum shear stress theory is suitable for failure analysis of brittle materials.

If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.

(a, b, c) is the correct answer.

1 2 3 4 5

Total Unique Visitors

Loading......

Mechanical Engineering Gate Yearwise

Mechanical Engineering Gate 2022 Set-1 Questions with Answer

Question Options

Sign in to ExamPrev