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GMATPrep question about angles

Expert replies
Source: — Problem Solving |

by bubbliiiiiiii » Wed Aug 10, 2011 12:50 am
E
Regards,

Pranay
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by bubbliiiiiiii » Wed Aug 10, 2011 12:52 am
How much did you score in the quant section of this test?

The idea behind asking the question above is to when geometry questions appear in GMAT Prep?
Regards,

Pranay
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by kiwitaker » Wed Aug 10, 2011 1:08 am
Hey Pranay - I correct answer according to GMAT Prep is C.. I dont understand the reasoning behind this..

It was the 7th question on the exam.. I got a 47 for Quant on this particular test.
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by bubbliiiiiiii » Wed Aug 10, 2011 1:32 am
Yes the answer is C.

Here is how it is.

x=180-(Angle RSQ + Angle UST)

Option A:

QR=RS. We only know that Angle RQS and Angle RSQ are equal. Nothing can be deduced about Angle UST.
Also, Angle QRS = 180 - (Angle RQS + Angle RSQ).
Thus, Insufficient.

Option B:

ST = UT. We only know that Angle SUT and Angle UST are equal. Nothing can be deduced about Angle RSQ.
Also, Angle STU = 180 -(Angle SUT + Angle UST)
Thus, Insufficient.

A and B:

Now we know that,
Angle SUT and Angle UST are equal, and
Angle RQS and Angle RSQ are equal.

Moreover, consider the Triangle RPT, we know that Angle PRT + Angle PTR = 90 degrees.
since, triangle RPT is right angled triangle.

Synthesizing the information we have.

x=180-(Angle RSQ + Angle UST) ..... I

Angle PRT + Angle PTR = 90 degrees. ...... II
=> 180 - 2*RSQ + 180 - 2*UST = 90
on solving this we get,

Angle RSQ + Angle UST = 135.

Substituting this in I

we get x = 45 degrees.

Hope it helps :)
Regards,

Pranay
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by GMATGuruNY » Wed Aug 10, 2011 2:06 am
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by kiwitaker » Wed Aug 10, 2011 11:25 pm
Thanks everyone for the replies.. :-)

PS: My GMAT is tomorrow!
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by bubbliiiiiiii » Wed Aug 10, 2011 11:48 pm
All the best and do share your story with us. :)
Regards,

Pranay
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