M/N WILL BE AN INTEGER IF M IS DIVISIBLE BY N. FOR M TO BE DIVISIB...

22. m/n will be an integer if m is divisible by n. For m to be

divisible by n, the elements of n's prime box (i.e. the prime factors

that make up n) must also appear in m's prime box.

(1) INSUFFICIENT: If 2m is divisible by n, the elements of n's prime

box are in 2m's prime box. However, since 2m contains a 2 in its

prime box because of the coefficient 2, m alone may not have all of

the elements of n's prime box. For example, if 2m = 6 and n = 2,

2m is divisible by n but m is not.

(2) SUFFICIENT: If m is divisible by 2n, m's prime box contains a 2

and the elements of n's prime box. Therefore m must be divisible

by n.

The correct answer is B.