Hi richachamption,
To start, this should be in the DS Forum. That having been said, this prompt can be solved by TESTing VALUES and using Number Properties. The key is to recognize that the variables are not necessarily positive integers.
We're asked if MP > M. This is a YES/NO question.
1) M > P > 0
IF... M = 4, P = 2, then the answer to the question is YES.
IF... M = 4, P = 1/2, then the answer to the question is NO.
Fact 1 is INSUFFICIENT
2) P is LESS than 1
This Fact tells us NOTHING about the value of M.
IF... M = 4, P = 1/2, then the answer to the question is NO.
IF... M = -4, P = 1/2, then the answer to the question is YES.
Fact 2 is INSUFFICIENT
Combined, we know that...
P is LESS than 1
M > P > 0
Since P = positive fraction, then M = larger positive and the answer to the question is ALWAYS NO (since multiplying a positive number by a positive fraction will ALWAYS lead to a product that is smaller than the first number).
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
