10th Class Mathematics Real Numbers Question Bank MCQs - Real Number

If n is an even natural number, then the largest natural number by which n(n +1)(n+ 2) is divisible, is

A) 6

B) 8

C) 12

D) 24

Correct Answer: D

Solution :

Since n is divisible by 2 therefore (n + 2) is divisible by 4 and hence n (n + 2) is divisible by 8.

Also n n +1 n + 2 are three consecutive numbers.

So one of them is divisible by 3.

Hence n (n +1) (n + 2) must be divisible by 24.