Exam GMAT Section 2 Quantitative topic 2 question 68 discussion

Actual exam question from Test Prep's GMAT Section 2 Quantitative

Question #: 68
Topic #: 2

[All GMAT Section 2 Quantitative Questions]

What is the area of the shaded region?

(1) ABC is equilateral.

(2) The length of
is 16 inches.

A. Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.
B. Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.
C. The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).
D. The problem can be solved using EITHER statement (1) only or statement (2) only.
E. The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

Show Suggested Answer

Suggested Answer: C 🗳️
Because you know that the triangle is equilateral from statement (1), you also know that each side has the same measure and that each angle is 60 degrees. This does not, however, tell you the length of the diameter or radius of the circle, which you need to know in order to find the area. Statement (2) alone is also insufficient because it tells you the length of one side of the triangle, but no other information about the figure. Using both statements together, the diameter is then
16; thus, the radius is 8. Therefore, the area of the semicircle can be calculated.

by [deleted] at March 9, 2025, 5:08 p.m.

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