Statement 1: If n is an odd prime, then the integral part of ( 5+2 )^n-2^ n+1 is divisible by 2n. Statement 2: If n is prime, then ^nC_1, ^nC_2, , ^nC_ n-1 must be divisible by n.

JEE Main Mathematics question

Statement 1: If is an odd prime, then the integral part of is divisible by . Statement 2: If is prime, then must be divisible by .

(A)Assertion is True, Reason is True; Reason is correct explanation for AssertionCorrect
(B)Assertion is True, Reason is True; Reason is not correct explanation for Assertion
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is True

Answer: (A)

Statement 2 is true: for prime and , and does not divide , so . For odd let and with ; then is an integer, hence the

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Question ID VK-021131