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Exam Details

2020 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.

Subject distribution

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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
2020 · Unclassified
2020 Electrical Engineering
Eigen values of the Matrix \[ \begin{bmatrix} 3 & -1 & -1 \\ -1 & 3 & -1 \\ -1 & -1 & 3 \end{bmatrix} \] are
A
1, 1, 2001
B
1, 1, 2002
C
1, 4, 2004
D
1, 2, 2004
2
2020 · Unclassified
2020 Electrical Engineering
The solution of the differential equation \[ d² y/dx² - dy/dx - 2y = 3e^{2x}, \] where, y(0) = 0 and y'(0) = -2 is
A
y = e^{-x} - e^{2x} + xe^{2x}
B
y = e^{x} - e^{-2x} - xe^{2x}
C
y = e^{-x} + e^{2x} + xe^{2x}
D
y = e^{x} - e^{-2x} + xe^{2x}
3
2020 · Unclassified
2020 Electrical Engineering
If \( Z = e^{ax+by} F(ax - by) \); the value of \( b \partial Z/\partial x + a \partial Z/\partial y \) is
A
2Z
B
2a
C
2b
D
2abZ
4
2020 · Unclassified
2020 Electrical Engineering
The general integral of the partial differential equation \[ y² p - xyq = x(z - 2y) \] is
A
\(\phi(x² + y², y² - yz) = 0 \)
B
\(\phi(x² - y², y² + yz) = 0 \)
C
\(\phi(xy, yz) = 0 \)
D
\(\phi(x + y, \ln x - z) = 0 \)
5
2020 · Unclassified
2020 Electrical Engineering
If \( d² y/dt² + y = 0 \) under the conditions \( y = 1, dy/dt = 0, \) when \( t = 0, \) then y is equal to
A
sin t
B
cos t
C
tan t
D
cot t
6
2020 · Unclassified
2020 Electrical Engineering
If the system \[ 2x - y + 3z = 2 \\ x + y + 2z = 2 \\ 5x - y + az = b \] has infinitely many solutions, then the values of a and b, respectively, are
A
-8 and 6
B
8 and 6
C
-8 and -6
D
8 and -6