Exam Details
2024 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
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2024 · Unclassified
2024 Mathematics
Let A and B be matrices of order 3×3. If |A| = \(1/2√{2}\) and |B| = \(1/729\), then what is the value of \(\left| 2B(adj(3A)) \right|\) ?
2024 · Unclassified
2024 Mathematics
If z is any complex number and \(iz³ + z² - z + i = 0\), where \(i = √{-1}\), then what is the value of \(\left(|z| + 1\right)²\) ?
2024 · Unclassified
2024 Mathematics
What is the sum of all four digit numbers formed by using all digits 0, 1, 4, 5 without repetition of digits?
2024 · Unclassified
2024 Mathematics
If x, y and z are the cube roots of unity, then what is the value of xy + yz + zx?
2024 · Unclassified
2024 Mathematics
A man has 7 relatives (4 women and 3 men). His wife also has 7 relatives (3 women and 4 men). In how many ways can they invite 3 women and 3 men so that 3 of them are man's relatives and 3 of them are his wife's relatives?
2024 · Unclassified
2024 Mathematics
A triangle PQR is such that 3 points lie on the side PQ, 4 points on QR and 5 points on RP respectively. Triangles are constructed using these points as vertices. What is the number of triangles so formed?