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Exam Details

2019 Electrical Engineering Paper

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Questions 150
Duration 180 mins
Package Engineering Services (Preliminary) Examination - Previous Year Papers

Paper pattern & analysis

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Subject distribution

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Topic distribution

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Subtopic 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
2019 · Unclassified
2019 Electrical Engineering Paper
What are the values of k for which the system of equations (3k - 8)x + 3y + 3z = 0 3x + (3k - 8)y + 3z = 0 3x + 3y + (3k - 8)z = 0 has a non-trivial solution ?
A
k = 2/3, 11/3, 10/3
B
k = 2/3, 10/3, 11/3
C
k = 11/3, 11/3, 11/3
D
k = 2/3, 11/3, 11/3
2
2019 · Unclassified
2019 Electrical Engineering Paper
If \[A = \begin{bmatrix} 2 + i & 3 & -1 + 3i \\ -5 & i & 4 - 2i \end{bmatrix},\] then AA* will be (where, A* is the conjugate transpose of A)
A
Unitary matrix
B
Orthogonal matrix
C
Hermitian matrix
D
Skew Hermitian matrix
3
2019 · Unclassified
2019 Electrical Engineering Paper
If y = 2x³ - 3x² + 3x - 10, the value of \Delta³ y will be (where, \Delta is forward differences operator)
A
10
B
11
C
12
D
13
4
2019 · Unclassified
2019 Electrical Engineering Paper
The solution of the differential equation x² d² y/dx² - x dy/dx + y = \log x is
A
y = (c₁ + c₂ x) \log x + 2 \log x + 3
B
y = (c₁ + c₂ x²) \log x + \log x + 2
C
y = (c₁ + c₂ x) \log x + \log x + 2
D
y = (c₁ + c₂ \log x) x + \log x + 2
5
2019 · Unclassified
2019 Electrical Engineering Paper
The area between the parabolas y² = 4ax and x² = 4ay is
A
2/3 a²
B
14/3 a²
C
16/3 a²
D
17/3 a²
6
2019 · Unclassified
2019 Electrical Engineering Paper
The volume of the solid surrounded by the surface \[\left( x/a \right)^{2/3} + \left( y/b \right)^{2/3} + \left( z/c \right)^{2/3} = 1\] is
A
\(4 \pi abc/35\)
B
abc/35
C
\(2 \pi abc/35\)
D
\(\pi abc/35\)