GMATPrep question about angles
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bubbliiiiiiii
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bubbliiiiiiii
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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?
The idea behind asking the question above is to when geometry questions appear in GMAT Prep?
Regards,
Pranay
Pranay
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bubbliiiiiiii
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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
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
Pranay
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
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bubbliiiiiiii
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