Exam Details
2021 Mathematics
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Questions
120
Duration
180 mins
Package
Combined SO (Grade B) LDC Examination - Previous Year Papers
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Difficulty distribution
120questions
Medium
40
33.3%
Hard
40
33.3%
Easy
40
33.3%
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120questions
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120
100%
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Full Syllabus
Sample questions from this paper
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2021 · Unclassified
2021 Mathematics
The smallest positive integer n for which \( \left( 1 - i/1 + i \right)^{n²} = 1 \) where \( i = √{-1} \), is
2021 · Unclassified
2021 Mathematics
The value of x, satisfying the equation \( \log_{\cos x} \sin x = 1 \), where \( 0 < x < \pi/2 \), is
2021 · Unclassified
2021 Mathematics
If \( \Delta \) is the value of the determinant
\( \left| \begin{matrix} a₁ & b₁ & c₁ \\ a₂ & b₂ & c₂ \\ a₃ & b₃ & c₃ \end{matrix} \right| \)
then what is the value of the following determinant?
\( \left| \begin{matrix} p a₁ & b₁ & q c₁ \\ p a₂ & b₂ & q c₂ \\ p a₃ & b₃ & q c₃ \end{matrix} \right| \)
(\( p \neq 0 \) or 1, \( q \neq 0 \) or 1)
2021 · Unclassified
2021 Mathematics
If \( C₀, C₁, C₂, \cdots, C_n \) are the coefficients in the expansion of \( (1 + x)^n \), then what is the value of \( C₁ + C₂ + C₃ + \cdots + C_n \)?
2021 · Unclassified
2021 Mathematics
If \( a + b + c = 4 \) and \( ab + bc + ca = 0 \), then what is the value of the following determinant?
\( \left| \begin{matrix} a & b & c \\ b & c & a \\ c & a & b \end{matrix} \right| \)
2021 · Unclassified
2021 Mathematics
The number of integer values of k, for which the equation \( 2 \sin x = 2k + 1 \) has a solution, is