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Exam Details

2024 Paper - II 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

Hard 50 33.3%
Easy 50 33.3%
Medium 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
2024 · Unclassified
2024 Paper - II Electrical Engineering
What is the value of \( \int₀^{2+i} (\overline{z})² dz \), along the line \( y = x/2 \)?
A
\(5/3 (2 - i) \)
B
\(1/3 (2 - i) \)
C
\(4/3 (2 + i) \)
D
2 - i
2
2024 · Unclassified
2024 Paper - II Electrical Engineering
The following is the frequency distribution of a random sample of weekly earnings of 509 employees : What is the average weekly earning?
A
26.16
B
24.87
C
28.61
D
20.74
3
2024 · Unclassified
2024 Paper - II Electrical Engineering
The numbers examined, the mean weight and the standard deviation in each group of examination by three medical examiners are given below. What is the standard deviation of the entire data when grouped together? Med. exam. | Nos. examined | Mean wt. (lb) | SD (lb) A | 50 | 113 | 6 B | 60 | 120 | 7 C | 90 | 115 | 8
A
8.183 lb
B
7.746 lb
C
7.152 lb
D
6.981 lb
4
2024 · Unclassified
2024 Paper - II Electrical Engineering
The solution for \( d⁴ x/dt⁴ + 4x = 0 \) is
A
\(x = e^{-t} (c₁ \cos 2t + c₂ \sin 2t) + e^{t} (c₃ \cos 2t + c₄ \sin 2t) \)
B
\(x = e^{-t} (c₁ \cos 4t + c₂ \sin 4t) + e^{t} (c₃ \cos 4t + c₄ \sin 4t) \)
C
\(x = e^{-t} (c₁ \cos t + c₂ \sin t) + e^{t} (c₃ \cos t + c₄ \sin t) \)
D
\(x = e^{-2t} (c₁ \cos t + c₂ \sin t) + e^{4t} (c₃ \cos t + c₄ \sin t) \)
5
2024 · Unclassified
2024 Paper - II Electrical Engineering
What is the deflection u(x, y, t) of the square membrane with a = b and c = 1, if the initial velocity is zero and the initial deflection is f(x, y) = A sin x sin 2y?
A
A sin x sin 2y
B
A sin x sin 2y sin(1t)
C
A sin x sin 2y tan(6t)
D
A sin x sin 2y cos(5t)
6
2024 · Unclassified
2024 Paper - II Electrical Engineering
If u = x log xy, where x³ + y³ + 3xy = 1, what is du/dx?
A
du/dx = log xy - x(x² + y) / y(y² + x)
B
du/dx = 0.5 + log xy - x(x² + 2y) / y(y² + x)
C
du/dx = 2 + log xy - x(x² + y) / y(y² + 2x)
D
du/dx = 1 + log xy - x(x² + y) / y(y² + x)