If X = 4^n - 3n - 1 : n N and Y = 9(n - 1) : n N , where N is the set of natural numbers, then X Y is equal to:

JEE Main 2014 Mathematics question

If and , where N is the set of natural numbers, then is equal to:

Answer: (A)

, a multiple of 9, but not every multiple of 9

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Question ID VK-008727