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Exam Details

2023 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

Medium 40 33.3%
Hard 40 33.3%
Easy 40 33.3%

Question type distribution

Multiple Choices 120 100%

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Sample questions from this paper

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1
2023 · Unclassified
2023 Mathematics
If ω is a non-real cube root of 1, then what is the value of \( \left| 1-\omega/\omega + \omega² \right| \)?
A
√3
B
√2
C
1
D
4/√{3}
2
2023 · Unclassified
2023 Mathematics
What is the number of 6-digit numbers that can be formed only by using 0, 1, 2, 3, 4 and 5 (each once); and divisible by 6?
A
96
B
120
C
192
D
312
3
2023 · Unclassified
2023 Mathematics
What is the binary number equivalent to decimal number 1011?
A
1011
B
111011
C
11111001
D
111110011
4
2023 · Unclassified
2023 Mathematics
Let A be a matrix of order 3×3 and |A| = 4. If |2 adj(3A)| = 2^α 3^β, then what is the value of (α + β)?
A
12
B
13
C
17
D
24
5
2023 · Unclassified
2023 Mathematics
If α and β are the distinct roots of equation x2 - x + 1 = 0, then what is the value of \( \left| \frac{\alpha^{100} + \beta^{100}}{\alpha^{100} - \beta^{100}} \right| \)?
A
√3
B
√2
C
1
D
1/√{3}
6
2023 · Unclassified
2023 Mathematics
Let A and B be symmetric matrices of same order, then which one of the following is correct regarding (AB - BA)? 1. Its diagonal entries are equal but nonzero 2. The sum of its non-diagonal entries is zero Select the correct answer using the code given below:
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2