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DS - Geometry

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Source: — Data Sufficiency |
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by f2001290 » Fri Jun 22, 2007 6:42 am
My thought is that it is A.

Explanation:

The shortest distance between two parallel lines is the perpendicular distance.

As x decreases, length of PQ increases.
Similarly, As y decreases, length of SR increases.

Since (A) says x>y. then SR>PQ.

This explanation is theoretical, I couldn't solve it mathematically.
Any mathematical genius out there, please help.
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by jrbrown2 » Sun Jun 24, 2007 9:31 am
I think it's A.

Let's picture it. Let's assume that X = Y. Then PQ = SR.
To make X>Y, one could either increase X or decrease Y.
If Y decreases the top end of RS (point S) moves further to the right increasing the length of PS.
If X increases the top end of PQ (point P) moves further to the left also increasing the length of PS.
So (1) is sufficient.

Statement 2 doesn't say anything about the relationship of X w/ respect Y. So it's insufficient.
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by gabriel » Mon Jun 25, 2007 9:15 am
.. the intercepts between 2 parallel line are equal only if they are inclined at the same angle ... so clearly A is the answer ...
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