If the constant term in the expansion of (3x^ 3 - 2x^ 2 + 5/x^ 5 )^ 10 is 2^ k I, where I is an odd integer, then the value of k is equal to -

JEE Main 2022 Mathematics question

If the constant term in the expansion of is , where I is an odd integer, then the value of k is equal to -

Answer: (4)

The constant term of is the coefficient of in . The general term is with 8p + 7q = 50 and p + q + r = 10, whose only solution is p = 1, q

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Question ID VK-035331