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11 Sep 2018, 03:11
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (01:28) correct
19%
(01:26)
wrong
based on 23
sessions
History
Date
Time
Result
Not Attempted Yet
Given a rectangle and circle that share a center with a vertex of a triangle as shown above, what is the area of the shaded region?
(1) The area of the inscribed rectangle is 4.
(2) The rectangle shown is a square.
Attachment:
image016.jpg [ 2.22 KiB | Viewed 1343 times ]
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
11 Sep 2018, 04:13
Kudos
Bookmarks
Bunuel
ARea of the shaded region can be calculated in two ways
1) (Area of Circle-Area of square (if it's a square))/4
2) Area of sector - Area of triangle adjacent to the shaded area
Question : Area of the shaded region = ?
Statement 1: The area of the inscribed rectangle is 4
Since we don't know whether the rectangle is square or not also we don't know the area of circle hence
NOT SUFFICIENT
Statement 2: The rectangle shown is a square.
But the measure of any dimension or area is unknown hence
NOT SUFFICIENT
Combining the two statements
Square with area 4 will have dimension of side as 2 and diagonal (i.e. diameter of circle) 2√2 hence
we can calculate area of circle π(2√2)^2 and also area of shaded region = [π(2√2)^2 - 4]/4
SUFFICIENT
Answer: option C
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