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16 Jun 2020, 06:52
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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:
55%
(hard)
Question Stats:
64% (02:28) correct
36%
(02:52)
wrong
based on 97
sessions
History
Date
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Not Attempted Yet
What fraction of the square ABCD above, where AE = EB, is shaded?
A. 1/6
B. 1/5
C. 1/4
D. 1/3
E. 1/2
Are You Up For the Challenge: 700 Level Questions
Attachment:
2020-06-16_1748.png [ 38.12 KiB | Viewed 6748 times ]
16 Jun 2020, 23:46
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I want to share a simple solution WHICH DOES NOT INVOLVE MAKING ANY SKETCH/DIAGRAM, but a tiny little imagination.
The shaded area is ‘less than triangle ADC’ therefore less than ½ of area of square.
Imagine diagonal line joining Point D and B. Let us say the point of intersection of two diagonals is O.
Now, the shaded area is ‘more than triangle DOC’ therefore more than ¼ of area of square.
Out of 5 options, how many options have value between ½ and ¼ ? Just 1/3.
The shaded area is ‘less than triangle ADC’ therefore less than ½ of area of square.
Imagine diagonal line joining Point D and B. Let us say the point of intersection of two diagonals is O.
Now, the shaded area is ‘more than triangle DOC’ therefore more than ¼ of area of square.
Out of 5 options, how many options have value between ½ and ¼ ? Just 1/3.
General Discussion
16 Jun 2020, 07:17
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Bunuel
Answer: Option D
Please check the attachment for explanation. Check the video solution for step-by-step solution (The solution shows the uninformed first attempt at question)
Attachments
Screenshot 2020-06-16 at 7.46.26 PM.png [ 681.48 KiB | Viewed 6398 times ]
