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Exam Details

Mechanical Engineering (ME) 2007

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Questions 85
Duration 180 mins
Package Mechanical Engineering (ME) - Previous Year Papers

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Showing all 85 questions in this paper.

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Subtopic distribution

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Difficulty distribution

Easy 85 100%

Question type distribution

Multiple Choices 85 100%

Instructions

Mechanical Engineering (ME) 2007 – Instructions
  • Total number of questions: 85
  • 20 questions carry one mark each
  • 65 questions carry two marks each
  • Negative marking: 1/4 of the marks allotted to the question
  • Use of calculator is allowed
  • This is a proctored examination
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Syllabus

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Sample questions from this paper

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

1
2007 · Unclassified
Mechanical Engineering (ME) 2007
Q.1 – Q.20 carry one mark each.

The minimum value of function y = x2 in the interval [1,5] is

A
0
B
1
C
25
D
undefined
2
2007 · Unclassified
Mechanical Engineering (ME) 2007

If a square matrix A is real and symmetric, then the eigenvalues

A
are always real
B
are always real and positive
C
are always real and non-negative
D
occur in complex conjugate pairs
3
2007 · Unclassified
Mechanical Engineering (ME) 2007

If φ(x, y) and ψ(x, y) are functions with continuous second derivatives, then φ(x, y) + iψ(x, y) can be expressed as an analytic function of x + iy (i = √-1), when

A
B
C
D
4
2007 · Unclassified
Mechanical Engineering (ME) 2007

The partial differential equation ∂2φ/∂x2 + ∂2φ/∂y2 + (∂φ/∂x)(∂φ/∂y) = 0 has

A
degree 1 order 2
B
degree 1 order 1
C
degree 2 order 1
D
degree 2 order 2
5
2007 · Unclassified
Mechanical Engineering (ME) 2007

Which of the following relationships is valid only for reversible processes undergone by a closed system of simple compressible substance (neglect changes in kinetic and potential energy)?

A
δQ = dU + δW
B
T dS = dU + p dV
C
T dS = dU + δW
D
δQ = dU + p dV
6
2007 · Unclassified
Mechanical Engineering (ME) 2007

Water has a critical specific volume of 0.003155 m3/kg. A closed and rigid steel tank of volume 0.025 m3 contains a mixture of water and steam at 0.1 MPa. The mass of the mixture is 10 kg. The tank is now slowly heated. The liquid level inside the tank

A
will rise
B
will fall
C
will remain constant
D
may rise or fall depending on the amount of heat transferred