Data Sufficiency problem regarding triangles

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Mr.Hollywood: Senior | Next Rank: 100 Posts; Posts: 34; Joined: Mon Oct 24, 2011 2:04 pm; Thanked: 1 times

by Mr.Hollywood » Wed Dec 07, 2011 6:50 pm

In â–³PQR, if PQ=a, QR=a+2 and PR=b, which of the three angles of â–³PQR has the greatest degree measure?

1, b=a+3
2, a=2

Thanks guy!!!

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Source: Beat The GMAT — Data Sufficiency | Wed Dec 07, 2011 6:50 pm

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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 Dec 07, 2011 6:57 pm

Mr.Hollywood wrote:In â–³PQR, if PQ=a, QR=a+2 and PR=b, which of the three angles of â–³PQR has the greatest degree measure?

1, b=a+3
2, a=2

Thanks guy!!!

The question asks which angle will be the largest. So, here we can use the fact that the longest side is always opposite to the largest interior angle.

Since from statement 1, we know that PR is the longest side (as from statement 1, PR = a + 3), so the angle opposite to PR will be the largest; SUFFICIENT.

Statement 2 says a = 2, but that does not give any information about the largest side, so it is NOT sufficient.

So, the correct answer is A.

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