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Exam Details

2020 Mathematics

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Questions 120
Duration 180 mins
Package Combined Defence Services Examination (I) - Previous Year Papers

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Showing all 120 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 40 33.3%
Hard 40 33.3%
Easy 40 33.3%

Question type distribution

Multiple Choices 120 100%

Syllabus

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Sample questions from this paper

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1
2020 · Unclassified
2020 Mathematics
If matrix A = \[\begin{bmatrix} 1 - i & i \\ -i & 1 - i \end{bmatrix}\] where i = √{-1}, then which one of the following is correct ?
A
A is hermitian
B
A is skew-hermitian
C
(\overline{A})^T + A is hermitian
D
(\overline{A})^T + A is skew-hermitian
2
2020 · Unclassified
2020 Mathematics
The term independent of x in the binomial expansion of \[\left( 2/x² - √{x} \right)^{10}\] is equal to
A
180
B
120
C
90
D
72
3
2020 · Unclassified
2020 Mathematics
If \((1 + 2x - x²)⁶ = a₀ + a₁ x + a₂ x² + ... + a_{12} x^{12}\), then what is \(a₀ - a₁ + a₂ - a₃ + a₄ - ... + a_{12}\) equal to ?
A
32
B
64
C
2048
D
4096
4
2020 · Unclassified
2020 Mathematics
If C(20, n + 2) = C(20, n - 2), then what is n equal to ?
A
18
B
25
C
10
D
12
5
2020 · Unclassified
2020 Mathematics
For how many values of k, is the matrix \[\begin{bmatrix} 0 & k & 4 \\ -k & 0 & -5 \\ -k & k & -1 \end{bmatrix}\] singular ? [IMAGE]
A
Only one
B
Only two
C
Only four
D
Infinite
6
2020 · Unclassified
2020 Mathematics
The number \((1101101 + 1011011)₂\) can be written in decimal system as
A
(198)_{10}
B
(199)_{10}
C
(200)_{10}
D
(201)_{10}