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Exam Details

Production & Industrial Engineering (PI) 2011

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Questions 65
Duration 180 mins
Package Production & Industrial Engineering (PI) - Previous Year Papers

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Difficulty distribution

Easy 65 100%

Question type distribution

Multiple Choices 65 100%

Instructions

Production & Industrial Engineering (PI) 2011 – 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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Syllabus

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Sample questions from this paper

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

1
2011 · Unclassified
Production & Industrial Engineering (PI) 2011
Q.1 – Q.25 carry one mark each.

If matrix A = and matrix B = , the transpose of product of these two matrices, i.e. (AB)T is equal to

A
B
C
D
2
2011 · Unclassified
Production & Industrial Engineering (PI) 2011

If A (0,4,3), B (0,0,0) and C (3,0,4) are three points defined in x, y, z coordinate system, then which one of the following vectors is perpendicular to both the line vectors BA and BC?

A
16î + 9ĵ − 12k̂
B
16î − 9ĵ + 12k̂
C
16î − 9ĵ − 12k̂
D
16î + 9ĵ + 12k̂
3
2011 · Unclassified
Production & Industrial Engineering (PI) 2011

The solution of the differential equation d2y/dx2 + dy/dx + 9y = 9x + 6 with C1 and C2 as constants is

A
y = (C₁x + C₂)e⁻ˣ + x
B
y = C₁e⁻ˣ + C₂e⁻ˣ + x
C
y = (C₁ + C₂)e⁻ˣ + x
D
y = (C₁x + C₂)eˣ + x
4
2011 · Unclassified
Production & Industrial Engineering (PI) 2011

The line integral ∫(y dx + x dy) from P1 (x1, y1) to P2 (x2, y2) along the semi-circle P1P2 shown in the figure is

A
x₁y₂ − x₂y₁
B
(y₂² − y₁²) + (x₂² − x₁²)
C
(x₂ − x₁)(y₂ − y₁)
D
(y₂ − y₁)² + (x₂ − x₁)²
5
2011 · Unclassified
Production & Industrial Engineering (PI) 2011

It is estimated that the average number of events during a year is three. What is the probability of occurrence of not more than two events over a two-year duration? Assume that the number of events follows a Poisson distribution.

A
0.052
B
0.062
C
0.072
D
0.082
6
2011 · Unclassified
Production & Industrial Engineering (PI) 2011

A circular steel shaft is under elastic deformation due to torsion. The relationship between modulus of elasticity (E) and shear modulus of elasticity (G), taking ν as Poisson’s ratio, is

A
G = 2E(1 + ν)
B
E = 2G(1 + ν)
C
G = 2E/(1 + ν)
D
E = 2G/(1 + ν)