Question

Two integers m, n are such that m = n² − n

Statement 1: Then m² − 2m is divisible by 24. because 

Statement 2: Product of r successive integers is divisible by r! 

(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

(B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.

(C) Statement-1 is True, Statement-2 is False.

(D) Statement-1 is False, Statement-2 is True.

Answer 1

Correct option  (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

m² − 2m = (n² − n) 2 − 2(n² − n)

= (n − 1)n(n + 1)(n − 2)