akxshay wrote:

I understand that 1) is SUFFICIENT because x > 6.25 hence x > 6, but not sure why 2) is SUFFICIENT ?

37^1/2 can have two values -6.08 and +6.08. If I consider +6.08 then it is sufficient, but what about the negative value ?

If I take the negative value then x > -6.08 which means x is not > 6. Hence the answer should be A), but the OA is D)

I am sure I am making some mistake, kindly help me to understand if my interpretation of taking a -ve is wrong and why ?

The mistake you are making is that \(x^2 = 36\) has 2 roots \(\pm 6\) (as it is a second degree equation in x) but \(x=\sqrt{36}\) only has 1 solution = +6 as it is a linear equation in x

Thus, from statement 2, \(x > \sqrt{37}\) means that \(x > 6.aaa\) and NOT \(x > - 6.aaa\)

Remember this rule for GMAT.

Thus both statements are sufficient.

D is the correct answer.

Hope this helps.