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Exam Details

Mechanical Engineering (ME) 2013 [Session 1]

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Questions 65
Duration 180 mins
Package Mechanical Engineering (ME) - Previous Year Papers

Paper pattern & analysis

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Showing all 65 questions in this paper.

Subject distribution

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Topic distribution

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Subtopic distribution

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Difficulty distribution

Easy 64 98.5%
Hard 1 1.5%

Question type distribution

Multiple Choices 64 98.5%
Fill in the blanks 1 1.5%

Instructions

Mechanical Engineering (ME) 2013 [Session 1] – Instructions
  • Total number of questions: 65
  • 30 questions carry one mark each
  • 35 questions carry two marks each
  • Negative marking: 1/3 of the marks allotted to the question
  • Use of calculator is allowed
  • This is a proctored examination
  • All other browser applications will be automatically closed
  • After three warnings, the examination window will close automatically

Syllabus

Full Syllabus

Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
2013 · Unclassified
Mechanical Engineering (ME) 2013 [Session 1]
Q.1 – Q.25 carry one mark each.

The partial differential equation ∂u/∂t + ∂u/∂x = ∂2u/∂x2 is a

A
linear equation of order 2
B
non-linear equation of order 1
C
linear equation of order 1
D
non-linear equation of order 2
2
2013 · Unclassified
Mechanical Engineering (ME) 2013 [Session 1]

The eigenvalues of a symmetric matrix are all

A
complex with non-zero positive imaginary part.
B
complex with non-zero negative imaginary part.
C
real.
D
pure imaginary.
3
2013 · Unclassified
Mechanical Engineering (ME) 2013 [Session 1]

Match the CORRECT pairs.

Numerical Integration SchemeOrder of Fitting Polynomial
P. Simpson’s 3/8 Rule1. First
Q. Trapezoidal Rule2. Second
R. Simpson’s 1/3 Rule3. Third
A
P-2, Q-1, R-3
B
P-3, Q-2, R-1
C
P-1, Q-2, R-3
D
P-3, Q-1, R-2
4
2013 · Unclassified
Mechanical Engineering (ME) 2013 [Session 1]

A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young’s modulus of the material varies linearly from E1 to E2 along the length of the rod, the normal stress developed at the section-SS is

A
P/A
B
P(E₁−E₂)/(AE₁+E₂)
C
PE₂/AE₁
D
PE₁/AE₂
5
2013 · Unclassified
Mechanical Engineering (ME) 2013 [Session 1]

Two threaded bolts A and B of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt A is 4 times that of bolt B and the mean diameter of bolt A is 12 mm, the mean diameter of bolt B in mm is

A
16
B
24
C
36
D
48
6
2013 · Unclassified
Mechanical Engineering (ME) 2013 [Session 1]

A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the rod, as shown in the figure below. If OA = 1 m, the magnitude of the absolute acceleration of the block at location A in m/s2 is

A
3
B
4
C
5
D
6