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GMAT prep question - is the OA wrong?

Expert replies
by StarDust845 » Sat Dec 15, 2007 12:26 pm
The question is simple.

If x > 0, is x > y ?

1) 7x - 4y = 3
2) 4x - 7y = 3

I believe the answer is D, but OA is different. Is my answer wrong?

Calista.
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Source: — Data Sufficiency |

by sujaysolanki » Sat Dec 15, 2007 5:14 pm
Corrected to B ...trying picking numbers say put x =1 or 1/2 it will hold for stmt 1 ..not to for Hope this helps
Last edited by sujaysolanki on Sat Dec 15, 2007 5:44 pm, edited 1 time in total.
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by StarDust845 » Sun Dec 16, 2007 7:53 am
Ah ha! I see what you are saying and then I approached my solution again and now I see the fallacy in my reasoning.

Here is how I solved (or thought that I solved) it.

The slope of the first equation is > 1. So I plotted the graph briefly and because slope is > 1, I assumed x is always less than y for x > 0.

For e.g assume a line with slope 1 passing through origin. The points in Quadrant I towards left of that line will always be x <y> y I extrapolated this fundamental to this GMAT question.. I assumed wrong obviously.

This can't be extrapolated. Thanks for your answer. This probably saved me from more mistakes, I would have made down the line.

Calista.
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by samirpandeyit62 » Sun Dec 16, 2007 8:32 pm
If x > 0, is x > y ?

1) 7x - 4y = 3

i.e 7x > 4y or x > 4/7*y

so in this case x>y is possible, but it is also possibe that

x is less than y e.g x =0.8 *y

2) 4x - 7y = 3

i.e 4x > 7y

or x > 7/4*y

i.e x > 7/4*y > y

i.e x >y SUFF B

Hi Eric/Gabriel,
Is there a problem with inequality signs, whenever I put two inequality signs on successive lines, they somehow get merged into one.
Regards
Samir
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by StarDust845 » Mon Dec 17, 2007 8:46 am
Beautiful! Thanks.

Calista.
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by gabriel » Mon Dec 17, 2007 9:51 am
@ Samir, can u send Eric a PM stating the exact problem. Thanks.

Regards.
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