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Exam Details

Production & Industrial Engineering (PI) 2017

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Questions 65
Duration 180 mins
Package Production & Industrial Engineering (PI) - 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 43 66.2%
Hard 22 33.8%

Question type distribution

Multiple Choices 44 67.7%
Fill in the blanks 21 32.3%

Instructions

Production & Industrial Engineering (PI) 2017 – 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
2017 · Unclassified
Production & Industrial Engineering (PI) 2017
Q.1 – Q.5 carry one mark each.

Divergence of the curl of a twice differentiable continuous vector function is

A
unity
B
infinity
C
zero
D
a unit vector
2
2017 · Unclassified
Production & Industrial Engineering (PI) 2017

For two non-zero vectors A̅ and B̅, if A̅ + B̅ is perpendicular to A̅ − B̅, then

A
the magnitude of A̅ is twice the magnitude of B̅
B
the magnitude of A̅ is half the magnitude of B̅
C
A̅ and B̅ cannot be orthogonal
D
the magnitudes of A̅ and B̅ are equal
3
2017 · Unclassified
Production & Industrial Engineering (PI) 2017

For an orthogonal matrix Q, the valid equality is

A
Qᵀ = Q⁻¹
B
Q = Q⁻¹
C
Qᵀ = Q
D
det(Q) = 0
4
2017 · Unclassified
Production & Industrial Engineering (PI) 2017

The product of a complex number z = x + iy and its complex conjugate z̅ is

A
x²
B
y²
C
x² − y²
D
x² + y²
5
2017 · Unclassified
Production & Industrial Engineering (PI) 2017

Using Simpson’s 1/3 rule for numerical integration, the consecutive points are joined by a

A
line
B
parabola
C
polynomial with power 3
D
polynomial with power 1/3
6
2017 · Unclassified
Production & Industrial Engineering (PI) 2017
Q.6 – Q.10 carry two marks each.

For a two dimensional state-of-stress defined as σxx = σγγ = τxγ = S, the Mohr’s circle of stress has

A
center at (S, 0) and radius S
B
center at (0,0) and radius S
C
center at (S, 0) and radius 0
D
center at (S/2, 0) and radius 2S