if you consider 1/2 as K in statement B, then if you consider K to be 2 in statement B, both result in different answers so B is not sufficient.

seems like on DS questions i have to test negatives and fractions both to be sure about the numbers i'm picking....sucks

Just split up the fractions.

Stmt1: 1/(k-1)>0 = 1/k - 1/1 >0
1/k - 1>0, so 1/k>1 ----->thus if 1/k is greater than 1, it has to be greater than 0

SUFFICIENT

Stmt 2: 1/(k+1)>0

1/k + 1 >0, so 1/k> -1

not sufficient.

Answer is A

From statement 1 - 1/k-1>0
for this statement to be true k needs to be an integer > 1.if we take k to be a fraction or a negative integer the staement wuldnt be true .so k needs to be a +ve integer

Statement A is sufficient.

From statement 2- 1/k+1 > 0
k can be be a positive number or a negative fraction for the condition to be true.
If k is a negative fraction 1/k would be <0>0
hence statement 2 is insufficient

Answer would be A