Aussy2000 wrote:

chetan2u wrote:

Is \(\frac{a}{b}>0\)?

(1) \(a+b = 0\)

(2) \(|\frac{a}{b}|>0\)

self made

For yes/no DS questions, the correct answer is definitely yes or definitely NO .

Statement 1 is a define No while statement 2 is a definite yes. so the correct answer should be D

Hi Aussy

Statement 2 is actually NOT a definite yes. Its given that |a/b| > 0 or modulus of a/b is positive. For any non-zero number, its modulus will be positive only.

We can have say a=b=2, and so a/b = 2/2 =1 and |a/b| = 1. Here a/b > 0 and |a/b| is also > 0

But we can also have say a=-2 and b=2 and so a/b = -2/2 = -1 but |a/b| = 1. So here a/b < 0 but |a/b| >0

So we can't say whether a/b will be positive or negative on the basis of second statement.

Also in GMAT, whenever the answer is D, both statements give the same answer. So its NOT possible to get No from statement 1 and Yes from statement 2. If I ever come across such a case in my practice (different answers from the two statements) I know I am going off somewhere and I recheck.