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Triangle Problem

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Triangle Problem

by nafishasan » Sun Feb 05, 2012 10:37 pm
ABC and PQR are both triangles. Is the area of triangle ABC greater than the area of triangle PQR?"¨"¨

1.Sides AB=PQ, BC=QR, and AC=PR
"¨2. Angles A=P, B=Q, and C=R

A. Together the statements are sufficient, but alone neither statement is sufficient
B. Together the statements are not sufficient
C. Both statements are sufficient alone
D. Statement 1 alone is sufficient, but statement 2 alone is not sufficient
E. Statement 2 alone is sufficient, but statement 1 alone is not sufficient
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Source: — Data Sufficiency |

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by Anurag@Gurome » Sun Feb 05, 2012 10:57 pm
nafishasan wrote:ABC and PQR are both triangles. Is the area of triangle ABC greater than the area of triangle PQR?"¨"¨

1.Sides AB=PQ, BC=QR, and AC=PR
"¨2. Angles A=P, B=Q, and C=R

A. Together the statements are sufficient, but alone neither statement is sufficient
B. Together the statements are not sufficient
C. Both statements are sufficient alone
D. Statement 1 alone is sufficient, but statement 2 alone is not sufficient
E. Statement 2 alone is sufficient, but statement 1 alone is not sufficient
(1) AB = PQ, BC = QR, AC = PR implies that triangles ABC and PQR are congruent triangles, so both will have an equal area. So, the answer to the question is "no"; SUFFICIENT.

(2) Angles A = P, B = Q, and C = R but we do not the lengths of the sides, so the area of triangle ABC may or may not be greater than the area of triangle PQR; NOT sufficient.

The correct answer is D.

Note: As per the GMAT format, the correct answer is A.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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