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A. (x+y+z+4)/4>(x+y+z)/3 => x+y+z<12 Cannot prove z-y=y-x Not sufficient
Consider x=0, y=5, z=6 4.5<5 => Satisfies this condition; but z-y <> y-x
Consider x=0, y=5, z=10 4.5<5 => Satisfies this condition; and z-y=y-x Not Sufficient
Combining (A) and (B) pick numbers which add up to less than 12 and satisfy B x=0, y=5, z=6; but z-y <> y-x in other words, we have to pick y > 4. The minimum seq. 4,5,6 (1,5,7) adds up to >12 hence wrong! So the answer is NO. Sufficient
Is this the OA? There must be a better and efficient way to do this!