JEE Mathematics Online Test Binomial Theorem Set B

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Question 1

Question

Statement 1 : If x = nCn–1 + n+1Cn–1 + n+2Cn–1 + ........ +2nCn–1, then x+1/ 2n+1 is integer.
Statement 2 : nCr + nCr–1 = n+1Cr and nCr is divisible by n if n and r are co-prime.

Answer
Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
Statement-1 is True, Statement-2 is False.
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
Statement-1 is False, Statement-2 is True.