GMAT Prep DS Problem

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yellepeddi: Newbie | Next Rank: 10 Posts; Posts: 2; Joined: Tue Mar 15, 2011 4:54 pm

by yellepeddi » Wed Mar 16, 2011 3:05 am

Need help solving GMAT Prep DS problem

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Source: Beat The GMAT — Data Sufficiency | Wed Mar 16, 2011 3:05 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Wed Mar 16, 2011 3:57 am

Check this link: https://www.beatthegmat.com/gmat-prep-t73077.html

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Wed Mar 16, 2011 4:39 am

yellepeddi wrote:Need help solving GMAT Prep DS problem

Plug in for the angles.

As we plug in, we have to satisfy the conditions in the problem and follow the rules of geometry.
Angles opposite equal sides of a triangle must be equal.
The sum of angles inside a triangle must be 180.
The sum of angles that form a straight line must be 180.

The goal is to see what happens to the value of x.
If x can be only 1 value, the statement is sufficient.
If x can be more than 1 value, the statement is insufficient.

Statement 1: QR = RS

The drawing above shows that x can be more than 1 value.
Insufficient.

Statement 2: ST = TU

The drawing above shows that x can be more than 1 value.
Insufficient.

Statements 1 and 2 combined:

The drawings above show that x can be only 1 value.
The figure on the left and that on the right include different combinations of angles that satisfy the conditions in the problem and follow the rules of geometry.
In each case, x=45.
Sufficient.

The correct answer is C.

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