saxenarahul021 wrote:Is 4 < w < 7?
(1) w > 5
(2) w < 6

Target question:Is 4 < w < 7?

Statement 1: w > 5
There are many values of w that meet this condition. Here are two:
Case a: w = 6, in which means that it is the case that 4 < w < 7
Case b: w = 8, in which means that it is not the case that 4 < w < 7
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: w < 6
There are many values of w that meet this condition. Here are two:
Case a: w = 5, in which means that it is the case that 4 < w < 7
Case b: w = 1, in which means that it is not the case that 4 < w < 7
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined:
If we combine both statements, we get 5 < w < 6
If x has a value between 5 and 6, then it is definitely the case that 4 < w < 7
Since we can now answer the target question with certainty, the combined statements are SUFFICIENT

Answer = C

Cheers,
Brent