Hi All,

We're asked if P is EVEN. This is a YES/NO question. We can solve it by TESTing VALUES. To start though, we have not been told ANYTHING about P, so it could be positive, negative, 0, an integer, a fraction, etc.

1) P^5 is EVEN

This tells us that P^5 could be any even number (re: -2, 0, 2, 4, 6, etc.)

IF....

P^5 = 32, then P = 2 and the answer to the question is YES.

P^5 = 2, then P = a non-integer and the answer to the question is NO.

Fact 1 is INSUFFICIENT

2) 142P - 82 = Even

With the equation in Fact 2, we're subtracting an even number (82) from 142P and getting an even number, thus 142P is EVEN.

IF....

142P = 142, then P = 1 and the answer to the question is NO.

142P = 284, then P = 2 and the answer to the question is YES.

Fact 2 is INSUFFICIENT

Combined, we know:

P^5 is even

142P is even

The only values that fit both Facts are even integers, so the answer to the question is ALWAYS YES.

Final Answer:

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

Rich

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