xtremecoder007 wrote:Is m + z > 0 ?
I) m - 3z > 0
II) 4z - m > 0
Statement 1: m > 3z.
If z=0 and m=1, m+z = 1+0 = 1.
If z=-1 and m=0, m+z = 0 + (-1) = -1.
Since in the first case m+z>0, and in the second case m+z<0, INSUFFICIENT.
Statement 2: m < 4z.
If z=0 and m=-1, m+z = -1+0 = -1.
If z=1 and m=0, m+z = 0+1 = 1.
Since in the first case m+z<0, and in the second case m+z>0, INSUFFICIENT.
Statements 1 and 2 combined:
Linking together 4z>m and m>3z, we get:
4z>m>3z
4z>3z
z>0.
Since z>0 and m>3z, we know that m>0.
Thus, m+z>0.
SUFFICIENT.
The correct answer is
C.
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