Bunuel
Is m > n?
(1) 3/7 < m < 5/7
(2) 2/7 < n < 4/7
The question is whether m > n or whether m-n > 0. Individually the statements are obviously not sufficient as each statement talks about just one entity out of m/n and not the other. So lets combine them.
We are given the range of m as 3/7 < m < 5/7. And we are also given the range of n as 2/7 < n < 4/7. If we mutliply this range of n by -1, we will get:
-2/7 > n > -4/7 (signs of inequality will flip because we are mutliplying by a negative number).
OR -4/7 < n < -2/7.
Now range of m and -n are both inequalities in the same direction, so we can add them.
Adding the range of 'm' and '-n' we get:
3/7+(-4/7) < m+(-n) < 5/7+(-4/7) OR
-1/7 < m-n < 1/7.
So the required entity m-n could be negative or 0 or positive. We thus cant say whether m-n> 0 or m-n=0 or m-n <0.
Not sufficient.
Hence
E answer.