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Source: — Data Sufficiency |

by GMATGuruNY » Wed Mar 16, 2016 10:38 am
iMyself wrote:is x<y?

(1) y/x<1
(2) y<0
Both statements are satisfied if y=-1 and x=1:
Statement 1: -1/1 < 1
Statement 2: -1 < 0
In this case, x>y.

Both statements are satisfied if y=-1 and x=-2:
Statement 1: -1/-2 < 1
Statement 2: -1 < 0
In this case, x<y.

Since the answer to the question stem is NO in the first case but YES in the second case, the two statements combined are INSUFFICIENT.

The correct answer is E.
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by Matt@VeritasPrep » Thu Mar 17, 2016 10:33 pm
S1:

0 < 1 - (y/x)

0 < (x - y)/x

If x > 0, then we have

0 < x - y

but if 0 > x, we have

0 > x - y

giving us conflicting results; INSUFFICIENT.

S2::

We know nothing about the sign of x; INSUFFICIENT.

S1+S2::

We still know nothing about the sign of x; INSUFFICIENT.
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