Quadrilateral inscribed in circle

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mariah: Master | Next Rank: 500 Posts; Posts: 131; Joined: Tue Aug 05, 2008 3:28 pm; Thanked: 2 times

by mariah » Sat Feb 04, 2012 4:16 am

Quadrilateral PXQY is inscribed in a circle. Is angle x equal to angle y?
1). Angle P is not equal to Q.
2). PQ is the diameter of the circle.

Oa B

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Source: Beat The GMAT — Data Sufficiency | Sat Feb 04, 2012 4:16 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 » Sat Feb 04, 2012 4:50 am

mariah wrote:Quadrilateral PXQY is inscribed in a circle. Is angle x equal to angle y?
1). Angle P is not equal to Q.
2). PQ is the diameter of the circle.

Oa B

Opposite angles in any quadrilateral inscribed in a circle add to 180Âº.

(1) Angle P is not equal to Q does not necessarily imply that angle X is equal to angle Y, it may or may not be equal. We need additional info to find this; NOT sufficient.

(2) PQ is the diameter of the circle again implies that in semicircle PYQ, angle PYQ = 90Âº and in semicircle PXQ, angle PXQ = 90Âº; SUFFICIENT.

The correct answer is B.

Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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