Hi All,

We're told that N is a positive integer. We're asked if N is ODD. This is a YES/NO question and we can solve it by TESTing VALUES.

1) N has exactly two positive factors.

For N to have exactly 2 factors, N must be a PRIME number.

IF...

N=2, then the factors are 1 and 2 and the answer to the question is NO.

N=3, then the factors are 1 and 3 and the answer to the question is YES.

Fact 1 is INSUFFICIENT

2) N is different from 2.

N=3, then the answer to the question is YES.

N=4, then the answer to the question is NO.

Fact 2 is INSUFFICIENT

Combined, we know that N must be PRIME and that it cannot be 2. All of the remaining possibilities are ALL ODD, so the answer to the question is ALWAYS YES.

Combined, SUFFICIENT

Final Answer:

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Rich

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