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Exam Details

2025 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

Easy 50 33.3%
Medium 50 33.3%
Hard 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
2025 · Unclassified
2025 Paper - II Electrical Engineering
What is the value of b such that the system of homogeneous equations 2x + y + 2z = 0 x + y + 3z = 0 4x + 3y + bz = 0 has non-trivial solution?
A
4
B
6
C
8
D
10
2
2025 · Unclassified
2025 Paper - II Electrical Engineering
The orthogonal trajectories of the hyperbolas x² - y² = c are
A
x² + y² = c
B
x + y = c
C
xy = c
D
x² + y² + 2x = c
3
2025 · Unclassified
2025 Paper - II Electrical Engineering
The value of the integral \int_C x² y dS, where C is the curve defined by x = 3cos t, y = 3sin t, 0 ≤ t ≤ π/2 is
A
20
B
24
C
27
D
31
4
2025 · Unclassified
2025 Paper - II Electrical Engineering
Let D be the region bounded by the closed cylinder x² + y² = 16, z = 0, z = 4, and v = 3x² i + 6y² j + zk, then by divergence theorem \iiint_D (∇ · v) dV is
A
46π
B
64π
C
84π
D
96π
5
2025 · Unclassified
2025 Paper - II Electrical Engineering
In the Fourier series expansion of the function f(x) = x sin x, -π ≤ x ≤ π the value of the Fourier coefficient a₁ is
A
-3/2
B
-1/2
C
2/3
D
-2/5
6
2025 · Unclassified
2025 Paper - II Electrical Engineering
The partial differential equation formed by the elimination of arbitrary function from z = f(x² - y²) is
A
xp + yq = 0
B
yp - xq = 0
C
yp + zq = 0
D
yp + xq = 0