NDA 2021 Mathematics question

MathematicsDeterminantsNDA 2021

Let

A=

where , , and are any four different prime numbers less than 20. What is the maximum value of the determinant?

Answer: (C)

Solution

The value of the determinant is . The primes less than 20 are 2, 3, 5, 7, 11, 13, 17, 19. To maximise , make as large as possible and as small as possible using four different

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Question ID VK-033504