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Exam Details

Mechanical Engineering 2007

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Questions 85
Duration 180 mins
Package ESE & GATE ME - Previous Year Papers

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Showing all 85 questions in this paper.

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Difficulty distribution

Medium 68 80%
Easy 10 11.8%
Hard 7 8.2%

Question type distribution

Multiple Choices 85 100%

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Syllabus

Sample

Sample questions from this paper

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1
2007 · Unclassified
Mechanical Engineering 2007
The minimum value of function y = x2 in the interval [1, 5] is
A
0
B
1
C
undefined
D
25
2
2007 · Unclassified
Mechanical Engineering 2007
If a square matrix A is real and symmetric, then the eigen values
A
are always real
B
are always real and non–negative
C
occur in complex conjugate pairs
D
are always real and positive
3
2007 · Unclassified
Mechanical Engineering 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 = ), when
A
B
C
D
4
2007 · Unclassified
Mechanical Engineering 2007
The partial differential equation has
A
degree 1 order 2
B
degree 2 order 1
C
degree 2 order 2
D
degree 1 order 1
5
2007 · Unclassified
Mechanical Engineering 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 + pdV
C
T dS = dU + δW
D
δQ = dU + pdV
6
2007 · Unclassified
Mechanical Engineering 2007
Water has a critical specific volume of 0.003155m3 /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 remain constant
C
may rise or fall depending on the amount of heat transferred
D
will fall