pappueshwar wrote:Is m>n?
(1) m/n > 1
(2) (m-n) /n > (m-n) /m
OA IS E
Algebra often is the best way to prove that a statement is SUFFICIENT.
To prove that a statement is INSUFFICIENT, plugging in numbers often is faster.
Statement 1: m/n > 1.
It's possible that m=2 and n=1, in which case m>n.
It's possible that m=-2 and n=-1, in which case m<n.
INSUFFICIENT.
Statement 2: (m-n)/n > (m-n)/m
If m=2 and n=1, then m-n=1.
1/1 > 1/2
1 > 1/2.
In this case, m>n.
If m=-2 and n=-1, then m-n = -2-(-1) = -1.
-1/-1 > -1/-2
1 > 1/2.
In this case, m<n.
Since both statements are satisfied by m=2,n=1 and by m=-2,n=-1, and in the first case m>n and in the second case m<n, INSUFFICIENT.
The correct answer is
E.
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