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In the figure above, if \(x\) and \(y\) are each less than

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by BTGmoderatorLU » Sat Aug 10, 2019 1:33 pm

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Source: GMAT Prep

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In the figure above, if \(x\) and \(y\) are each less than 90 and \(PS \parallel QR\), is the length of segment \(PQ\) less than the length of segment \(SR\)?

1) \(x > y\)
2)\( x + y > 90\)

The OA is A
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Source: — Data Sufficiency |

by Jay@ManhattanReview » Mon Aug 12, 2019 5:13 am
BTGmoderatorLU wrote:Source: GMAT Prep

Image

In the figure above, if \(x\) and \(y\) are each less than 90 and \(PS \parallel QR\), is the length of segment \(PQ\) less than the length of segment \(SR\)?

1) \(x > y\)
2)\( x + y > 90\)

The OA is A
Note that is xº = yº, then PQ = SR, if xº > yº, then PQ < SR, and if xº < yº, then PQ > SR.

Let's take each statement one by one.

1) \(x > y\)

=> PQ < SR. The answer is yes. Sufficient.

2)\( x + y > 90\)

All three cases discussed above are applicable. Insufficient.

The correct answer: A

Hope this helps!

-Jay
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