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24 Jan 2016, 06:22
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (01:59) correct
26%
(01:21)
wrong
based on 113
sessions
History
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Time
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Not Attempted Yet
In the circle with center C above, what is the area of right triangle ACE?
(1) AE equals 16 inches.
(2) BD equals 12 inches.
Attachment:
2016-01-24_1720.png [ 6.05 KiB | Viewed 2789 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:
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Data Sufficiency Forum
26 Jan 2016, 23:29
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Bunuel
Area of ACE=1/2*AE*CE
Statement 1: AE=16, but no info about CE is given so insufficient
Statement 2: BD=12, thus BC=1/2*BD=6, but no info about AE and CE, insufficient
1&2 together: we have AE but we donot have sufficient data to calculate value of CE, so insufficient.
IMO answer is E
27 Nov 2017, 23:24
Kudos
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Area of right triangle ACE = 1/2 * AE * CE
(1) AE = 16, but we cannot find CE on the basis of this data. Insufficient.
(2) BD = 12. This is the diameter of the circle. So we know radius = BC = CD = 6. But we cannot find CE or AE on the basis of this. Insufficient.
After combining the two statements, we still have no way to find CE. IF we had AB, then AC would be known (AB+BC). And then we could have calculate the area (we have two sides, third side of right angle triangle can be calculated using pythagoras, and area can be determined). But AB is not given. Insufficient.
Hence E answer
(1) AE = 16, but we cannot find CE on the basis of this data. Insufficient.
(2) BD = 12. This is the diameter of the circle. So we know radius = BC = CD = 6. But we cannot find CE or AE on the basis of this. Insufficient.
After combining the two statements, we still have no way to find CE. IF we had AB, then AC would be known (AB+BC). And then we could have calculate the area (we have two sides, third side of right angle triangle can be calculated using pythagoras, and area can be determined). But AB is not given. Insufficient.
Hence E answer
