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Exam Details

2017 Electrical Engineering

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Questions 150
Duration 180 mins
Package Indian Economic Service and Indian Statistical Service Examination - Previous Year Papers

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Showing all 150 questions in this paper.

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Difficulty distribution

Medium 50 33.3%
Hard 50 33.3%
Easy 50 33.3%

Question type distribution

Multiple Choices 150 100%

Syllabus

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Sample questions from this paper

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1
2017 · Unclassified
2017 Electrical Engineering
If a square matrix of order 100 has exactly 15 distinct eigenvalues, then the degree of the minimal polynomial is
A
At least 15
B
At most 15
C
Always 15
D
Exactly 100
2
2017 · Unclassified
2017 Electrical Engineering
The solution of the differential equation y √{1 - x²} dy + x √{1 - y²} dx = 0 is
A
√{1 - x²} = c
B
√{1 - y²} = c
C
√{1 - x²} + √{1 - y²} = c
D
√{1 + x²} + √{1 + y²} = c
3
2017 · Unclassified
2017 Electrical Engineering
The general solution of the differential equation d⁴ y/dx⁴ - 2 d³ y/dx³ + 2 d² y/dx² - 2 dy/dx + y = 0 is
A
y = (c₁ - c₂ x) e^x + c₃ \cos x + c₄ \sin x
B
y = (c₁ + c₂ x) e^x - c₃ \cos x + c₄ \sin x
C
y = (c₁ + c₂ x) e^x + c₃ \cos x + c₄ \sin x
D
y = (c₁ + c₂ x) e^x + c₃ \cos x - c₄ \sin x
4
2017 · Unclassified
2017 Electrical Engineering
Given the Fourier series in (-\pi, \pi) for f(x) = x \cos x, the value of a₀ will be
A
- 2/3 \pi²
B
0
C
2
D
(-1)^n 2n/n² - 1
5
2017 · Unclassified
2017 Electrical Engineering
The Fourier series expansion of the saw-toothed waveform f(x) = x in (-\pi, \pi) of period 2\pi gives the series, 1 - 1/3 + 1/5 - 1/7 + .... The sum is equal to
A
\(\pi/2\)
B
\(\pi²/4\)
C
\(\pi²/16\)
D
\(\pi/4\)
6
2017 · Unclassified
2017 Electrical Engineering
What is the value of m for which 2x - x² + my² is harmonic?
A
1
B
-1
C
2
D
-2