If P represents the product of the first 14 positive integers, then P is not a
multiple of:  Choose the correct choice from the following choices.
A) 99 B) 84 C) 51 D) 65 E) 57

Rationale: a ) 99 = 9 * 11 b ) 84 = 4 * 7 * 3 c ) 51 = 17 * 3 d ) 65 = 5 * 13 e ) 57 = 19 * 3 since 17 is not there in first 15 positive numbers it is the only possibility c
Answer: C