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Exam Details

Engineering Sciences (XE) 2017

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Questions 245
Duration 180 mins
Package Engineering Sciences (XE) - Previous Year Papers

Paper pattern & analysis

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Showing all 245 questions in this paper.

Subject distribution

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Topic distribution

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Subtopic distribution

No subtopic classification is available.

Difficulty distribution

Easy 169 69%
Hard 76 31%

Question type distribution

Multiple Choices 176 71.8%
Fill in the blanks 69 28.2%

Instructions

Engineering Sciences (XE) 2017 – Instructions
  • Total number of questions: 245
  • 239 questions carry one mark each
  • 6 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
Engineering Sciences (XE) 2017
Q.1 – Q.5 carry one mark each.

If π/α ∫ from 0 to α sin y/y dy = 1/2 for some α ≥ 1, then the value of α is ______.

Write your response
2
2017 · Unclassified
Engineering Sciences (XE) 2017

Three fair dice are rolled simultaneously. The probability of getting a sum of 5 is

A
1/108
B
1/72
C
1/54
D
1/36
3
2017 · Unclassified
Engineering Sciences (XE) 2017

Suppose α, β, γ and δ are constants such that p(x) = δ + γ (x + 1) + β x (x + 1)(x - 1) + α x (x + 1)(x - 1) is the interpolating polynomial for the data (-1, -3), (0, 1), (1, -1), and (2, -3). Then the value of γ - β is ______.

A
P-1, Q-2, R-3, S-4
B
P-4, Q-1, R-3, S-2
C
P-1, Q-4, R-2, S-3
D
P-2, Q-4, R-3, S-1
4
2017 · Unclassified
Engineering Sciences (XE) 2017

Consider the ordinary differential equation y'' + α y' + β y = 0, where α and β are constants. If y(x) = x ex is a solution of the above equation, then the value of β - α is ______.

A
P-3, Q-4, R-2, S-1
B
P-4, Q-3, R-1, S-2
C
P-1, Q-2, R-3, S-4
D
P-2, Q-3, R-1, S-4
5
2017 · Unclassified
Engineering Sciences (XE) 2017

Consider the system of linear equations 2x2 + x3 = 0, -2x1 - x3 = 0, -x1 + x2 = 1. The above system has

A
a unique solution
B
infinite number of solutions
C
no solution
D
only two distinct solutions
6
2017 · Unclassified
Engineering Sciences (XE) 2017
Q.6 – Q.11 carry two marks each.

Let C be a simple smooth closed curve enclosing the region R in the xy-plane. Let C be oriented counterclockwise. If the value of the integral ∮C (y + ex2) dx + (3x + cos y) dy is 16, then the area of R is ______.

A
Both a) and r) are true and r) is the correct reason for a)
B
Both a) and r) are true but r) is not the correct reason for a)
C
Both a) and r) are false
D
a) is true but r) is false