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Exam Details

2021 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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Topic distribution

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Subtopic distribution

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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
2021 · Unclassified
2021 Electrical Engineering
If \( \lambda \) is eigenvalues of A, and A is idempotent matrix, then
A
\(\lambda \neq 0 \)
B
\(\lambda \neq 1 \)
C
Either \(\lambda = 0 \) or \(\lambda = 1 \)
D
\(\lambda \neq 0 \) and \(\lambda = 1 \)
2
2021 · Unclassified
2021 Electrical Engineering
The eigenvalues of the matrix \( \begin{bmatrix} 5 & 4 \\ 1 & 2 \end{bmatrix} \) are
A
5 and 2
B
1 and 4
C
1 and 6
D
7 and 5
3
2021 · Unclassified
2021 Electrical Engineering
Using Runge's formula of order 2, when \( x = 1.1 \), given \( dy/dx = 3x + y² \) and \( y = 1.2 \) when \( x = 1 \), taking \( h = 0.1 \). The value of y will be nearly
A
1.3
B
1.5
C
1.7
D
1.9
4
2021 · Unclassified
2021 Electrical Engineering
The expression \( \left( \Delta²/E \right) e^x \cdot E e^x/\Delta² e^x \) (the interval of differencing being h) is
A
\(e^{x-h} \)
B
\(e^{x+h} \)
C
\(e^x \)
D
2\(e^x \)
5
2021 · Unclassified
2021 Electrical Engineering
The solution of differential equation \( (x² y - 2xy²) dx - (x³ - 3x² y) dy = 0 \), is
A
\(x/y - 2 \log x + 3 \log y = c \)
B
\(y/x - 2 \log y + 3 \log x = c \)
C
\(x/y + 2 \log x - 3 \log y = c \)
D
\(y/x + 2 \log y - 3 \log x = c \)
6
2021 · Unclassified
2021 Electrical Engineering
If \( u = x \log xy \), where \( x³ + y³ + 3xy = 1 \), then \( du/dx \) is
A
1 - \log xy + x(x² + y)/y(y² + x)
B
1 - \log xy - y(x² + y)/x(y² + x)
C
1 + \log xy - x(x² + y)/y(y² + x)
D
1 + \log xy + x(x² + y)/y(y² + x)