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Exam Details

Production & Industrial Engineering (PI) 2007

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Questions 85
Duration 180 mins
Package Production & Industrial Engineering (PI) - Previous Year Papers

Paper pattern & analysis

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Showing all 85 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 85 100%

Question type distribution

Multiple Choices 85 100%

Instructions

Production & Industrial Engineering (PI) 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

Full Syllabus

Sample questions from this paper

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

1
2007 · Unclassified
Production & Industrial Engineering (PI) 2007
Q.1 – Q.20 carry one mark each.

If a complex variable z = √3/2 + i/2, then z2 is

A
2√3 i · 2
B
-1/2 + √3/2
C
√3/2 - i/2
D
√3/8 + i/8
2
2007 · Unclassified
Production & Industrial Engineering (PI) 2007

Two cards are drawn at random in succession, with replacement, from a deck of 52 well shuffled cards. Probability of getting both 'Aces' is

A
1/169
B
2/169
C
1/13
D
2/13
3
2007 · Unclassified
Production & Industrial Engineering (PI) 2007

The angle (in degrees) between two planar vectors a = √3/2 i + 1/2 j and b = √3/2 i - 1/2 j is

A
30
B
60
C
90
D
120
4
2007 · Unclassified
Production & Industrial Engineering (PI) 2007

What is the value of lim (x→π/4) (cos x - sin x) / (x - π/4)

A
√2
B
0
C
-√2
D
Limit does not exist
5
2007 · Unclassified
Production & Industrial Engineering (PI) 2007

The determinant | 1+b b | evaluates to | b 1+b |

A
0
B
2b(b-1)
C
2(1-b)(1+2b)
D
3b(1+b)
6
2007 · Unclassified
Production & Industrial Engineering (PI) 2007

f(x) = |x| is a function defined for real numbers x. The directional derivative of f at x = 0 in the direction d = 1 is

A
1
B
0
C
-1/2
D
-1