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04 Jul 2018, 23:20
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D
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:
79% (01:36) correct
21%
(01:45)
wrong
based on 44
sessions
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AB and CD are both diameters of a circle with centre O. So A, B, C, D all lie on the circumference of the circle. Sum of areas of sector AOC and sector BOD is what fraction of the total area of the circle?
(1) Angle AOD = 100 degrees.
(2) Angle AOC = 80 degrees.
(1) Angle AOD = 100 degrees.
(2) Angle AOC = 80 degrees.
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
04 Jul 2018, 23:53
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amanvermagmat
Questions like these, which talk about a figure without giving it, are much easier to answer if we draw them out first.
This is an Alternative approach.
(1) Drawing a circle with two diameters and writing in AOD = 100, we can fill the angle opposite to it to be 100. Since the 4 angles sum to 360, the remaining two sum to 360 - 200 = 160.
So sectors AOC and BOD are proportional to 160 degrees of the circle meaning they have 160/360 of the area.
Sufficient.
(2) repeating the same process as above gives us exactly the same values.
Sufficient.
(D) is our answer.
05 Jul 2018, 01:04
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Quote:
amanvermagmat
Please refer the affixed diagram for the explanation.
Both statements are alone sufficient.
Ans. (D)
Attachments
Sector.JPG [ 34.55 KiB | Viewed 2669 times ]
