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Source: — Data Sufficiency |
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by shankar.ashwin » Fri Oct 28, 2011 7:26 pm
BIMO

(1) gives you 2 possibilities.
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by gmatblood » Wed Nov 02, 2011 1:30 pm
shankar.ashwin wrote:BIMO

(1) gives you 2 possibilities.
Can someone elaborate on this!?

Thanks.
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by GmatMathPro » Wed Nov 02, 2011 1:50 pm
gmatblood wrote:
shankar.ashwin wrote:BIMO

(1) gives you 2 possibilities.
Can someone elaborate on this!?

Thanks.
For statement 1, if you plug in the values of A,B,C, and D, multiply it out and simplify everything, you get 4x^2-y^2=9. Factoring, we get (2x+y)(2x-y)=9. This will be true if 2x-y=9 and 2x+y=1. Solving this system gives us x=5/2 and y=4 and x*y=10. Or it could be that 2x-y=3 and 2x+y=3. Solving this system gives us x=3/2 and y=0 or x*y=0. There are infinitely many other possibilities for x*y, as there is no reason to restrict our attention to integer factors of 9, but this is enough to prove statement 1 insufficient.

For statement 2, if you plug everything in and simplify, a lot of things cancel out and you end up with x*y=15. Hence, regardless of the values of x and y, their product is always 15. Hence, statement 2 is sufficient.

Ans: B
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