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abhirup1711
- Senior | Next Rank: 100 Posts
- Posts: 66
- Joined: Wed Jul 13, 2011 2:27 pm•Followed by: 2 members
Statement 1: m > p > 0abhirup1711 wrote:Is mp greater than m?
(1) m > p > 0
(2) p is less than 1
Since m > 0, we can simplify the question stem by dividing by m:
mp > m
p > 1.
Question stem rephrased: Is p > 1?
Since it's possible that p=1/2 or that p=2, INSUFFICIENT.
Statement 2: p < 1
Case 1: p=0 and m=1, with the result that mp = 1*0 = 0.
Here, mp < m.
Case 2: p=0 and m=-1, with the result that mp = -1*0 = 0.
Here, mp > m.
INSUFFICIENT.
Statements combined:
Question rephrased in statement 1: Is p > 1?
Statement 2: p < 1.
Since statement 2 gives a definitive answer to the rephrased question, SUFFICIENT.
The correct answer is C.
