Exactly what are these statements about a certain positive integer n is true? Which statement is true? We use process of elimination to find which statement must be true. If n equals 2, then n would be prime. These statements cannot both be true, so both d and b must be false. Also, if n is divisible by 6, then it must be divisible by 3, and therefore b can't be the right answer. If n is divisible by 3 and not divisible by 6, then n must also be odd. Therefore, n cannot be divisible by 3 and a is not true. By process of elimination, we know that only c can be true. An example of a number could be 25.

positive integer

prime number

divisible

process of elimination

example number