Hi All,

We're told that Q is less than 10. We're asked if Q is a PRIME number. This is a YES/NO question.

1) Q^2 - 2 = P; P is prime and P < 10.

The information in Fact 1 severely limits the possible values of P (which will limit the possible values of Q. Since P is PRIME and P < 10....

P can be 2, 3, 5 or 7

By extension, Q could be +2, - 2, +√5, -√5, +√7, -√7, +3 or -3

IF...

Q=2 or 3, then the answer to the question is YES.

Q = any of the other values, then the answer to the question is NO.

Fact 1 is INSUFFICIENT

2) Q + 2 is NOT prime, but Q is a positive integer.

The information in Fact 2 limits the possible values of Q to the following: 2, 4, 6, 7 or 8

IF...

Q = 2 or 7, then the answer to the question is YES.

Q = 4, 6 or 8, then the answer to the question is NO.

Fact 2 is INSUFFICIENT

Combined, there's ONLY ONE value that 'fits' both Facts (Q=2)

Combined, SUFFICIENT

Final Answer:

GMAT assassins aren't born, they're made,

Rich

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