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Exam Details

Production & Industrial Engineering (PI) 2012

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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 65 100%

Question type distribution

Multiple Choices 65 100%

Instructions

Production & Industrial Engineering (PI) 2012 – 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
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  • 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
2012 · Unclassified
Production & Industrial Engineering (PI) 2012
Q.1 – Q.25 carry one mark each.

lim (x→0) [(1−cos x)/x2] is

A
1/4
B
1/2
C
1
D
2
2
2012 · Unclassified
Production & Industrial Engineering (PI) 2012

For the spherical surface x2 + y2 + z2 = 1, the unit outward normal vector at the point (−1/√2, 1/√2, 0) is given by

A
1/√2 i + 1/√2 j
B
1/√2 i − 1/√2 j
C
k̂
D
1/√3 i + 1/√3 j + 1/√3 k̂
3
2012 · Unclassified
Production & Industrial Engineering (PI) 2012

Consider the function f(x) = |x| in the interval −1 ≤ x ≤ 1. At the point x = 0, f(x) is

A
continuous and differentiable.
B
non-continuous and differentiable.
C
continuous and non-differentiable.
D
neither continuous nor differentiable.
4
2012 · Unclassified
Production & Industrial Engineering (PI) 2012

At x = 0, the function f(x) = x3 + 1 has

A
a maximum value
B
a minimum value
C
a singularity
D
a point of inflection
5
2012 · Unclassified
Production & Industrial Engineering (PI) 2012

The area enclosed between the straight line y = x and the parabola y = x2 in the x-y plane is

A
1/6
B
1/4
C
1/3
D
1/2
6
2012 · Unclassified
Production & Industrial Engineering (PI) 2012

For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is

A
1
B
2
C
4
D
8