Geometry

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Geometry

by ruwan_ss » Sun Jun 15, 2014 7:24 pm
Line L passes through points R(0,-5) and S(4,0) (See Below). Point P with coordinates (x,y) is a point on the line L. Is xy > 0?

1) x > 4

2) -5 < y < 0
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by kvcpk » Mon Jun 16, 2014 5:16 am
We are given 2 points on the line. Equation for the line can be derived, though not necessary here.

1) x > 4
By looking at the graph, we know that whenever x is greater than 4, y is greater than 0.
Hence xy>0
SUFFICIENT

2) -5 < y < 0
As per the graph, This means y is lying in the 4th quadrant.
Therefore x is greater than 0.
y<0, x>0
hence xy<0
SUFFICIENT

However, I have not seen any question where the 2 statements are in conflict with each other.
Statement 1 says xy>0 and statement 2 says xy<0
I am reluctant to choose D
Is this the OA? or am I missing something?
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don't be afraid of failure and don't abandon it.
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by GMATinsight » Mon Jun 16, 2014 7:20 am
Please find the detailed explanation in the attached jpg file.



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by GMATinsight » Mon Jun 16, 2014 7:44 am
You are absolutely right kvcpk. GMAT never gives statements that give conflicting Answers. Therefore I find this question not fit for GMAT. However the same question can be considered for practicing the concepts needed to solve questions that have potential to come in GMAT.
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by ruwan_ss » Mon Jun 16, 2014 8:21 pm
Thanks for all the solutions. I modified this question to get two conflicting answers because I wanted to know what would happen if there were two conflicting statements which are sufficient.

If any instructor can clarify this would be greatly appreciated. Thanks once again!

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by Brent@GMATPrepNow » Mon Jun 16, 2014 9:06 pm
ruwan_ss wrote:Thanks for all the solutions. I modified this question to get two conflicting answers because I wanted to know what would happen if there were two conflicting statements which are sufficient.

If any instructor can clarify this would be greatly appreciated. Thanks once again!
If you're looking for additional confirmation on this, I'll weigh in and say that the two statements in a DS question will NOT contradict each other.

Consider this example:
What is the value of x?
1) 2x = 6
2) x + 1 = 8

The above cannot be a true DS question, because the two statements contradict each other. Statement 1 tells us that x = 3, and statement 2 tells us that x = 7.

For more on this feature of DS questions, you can watch our free video titled "Useful Contradictions": https://www.gmatprepnow.com/module/gmat- ... cy?id=1104
In the video, we see how this fact can help us avoid careless mistakes.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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