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23 Oct 2018, 21:21
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D
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Difficulty:
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88% (01:15) correct
12%
(01:45)
wrong
based on 73
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In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the length of line segment BC?
Note: Figure not drawn to scale
A. 2
B. 3
C. 4
D. 5
E. 6
GMAT_PS_Magoosh_315.png [ 3.1 KiB | Viewed 4832 times ]
Note: Figure not drawn to scale
A. 2
B. 3
C. 4
D. 5
E. 6
Attachment:
GMAT_PS_Magoosh_315.png [ 3.1 KiB | Viewed 4832 times ]
23 Oct 2018, 21:25
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Bunuel
Let,
AB = a
BC = b
CD = c
DE = d
AE = a+b+c+d = 20
AD = a+b+c = 14
i.e. d = 20 - 14 = 6
CD = c = 6
EB = b+c+d = 17
i..e b+6+6 = 17
i.e. b = 5
i.e. a = 14 - 5 - 6 = 3
Answer: Option D
24 Oct 2018, 00:11
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Bunuel
\(AE = AB + BC + CD + DE\)
Or, \(AE = AD + DE\)
So, \(20 = 14 + DE\)
Or, \(DE = 6\)
Now, break down parts and solve ...
Attachment:
Solution.png [ 4.14 KiB | Viewed 4345 times ]
