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GMAT Prep question - Geometry

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sathishkumarjva9888: Senior | Next Rank: 100 Posts; Posts: 46; Joined: Sun Dec 18, 2011 7:11 pm; Thanked: 1 times

by sathishkumarjva9888 » Mon Apr 30, 2012 10:05 am

Please help me how to solve this problem.

OA: D

I made a mistake by selecting E instead of C, which i assumed to be correct.

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Source: Beat The GMAT — Problem Solving | Mon Apr 30, 2012 10:05 am

aneesh.kg: Master | Next Rank: 500 Posts; Posts: 385; Joined: Mon Apr 16, 2012 8:40 amFollowed by: 29 members; Location: Pune, India; Thanked: 186 times

by aneesh.kg » Mon Apr 30, 2012 10:14 am

We need:
angle PRS - angle PQR
=(180 - angle PRQ) - angle PQR
= 180 - (angle PRQ + angle PQR)
= angle QPR

So all we need is to see if the angle QPR can be found.

Statement (1): angle QPR = 30
SUFFICIENT
Statement (2): angle PQR + angle PRQ = 150
or, angle QPR = 30
SUFFICIENT

(D) should be the answer

Aneesh Bangia
GMAT Math Coach
[email protected]

GMATPad:
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