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25 Dec 2018, 02:46
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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:
5%
(low)
Question Stats:
90% (02:08) correct
10%
(01:52)
wrong
based on 109
sessions
History
Date
Time
Result
Not Attempted Yet
In the diagram above, AD = BE = 6 and CD = 3(BC). If AE = 8, then BC =
A. 6
B. 4
C. 3
D. 2
E. 1
Attachment:
2018-12-25_1345.png [ 3.97 KiB | Viewed 20458 times ]
25 Dec 2018, 03:44
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Solution:
Let the distance between AB, BC, CD, & DE be a, b, c, and d units respectively.
Given that, AD = BE
=> a + b + c = b + c + d
=> a = d, i.e. AB = DE
Again AD = BE = 6
AD = a + b + c = 6
And AE = 8
a + b + c + d = 8
Therefore, d = 2 (Since a + b + c = 6)
a = d = 2
Again consider a + b + c + d = 8
Given that CD = 3(BC), i.e. c = 3b
a + b + 3b + d = 8
2 + 4B + 2 = 8 (Since a = d = 2)
4b = 4
b = 1, i.e. BC = 1
Hence, the correct answer is option E. 1
Let the distance between AB, BC, CD, & DE be a, b, c, and d units respectively.
Given that, AD = BE
=> a + b + c = b + c + d
=> a = d, i.e. AB = DE
Again AD = BE = 6
AD = a + b + c = 6
And AE = 8
a + b + c + d = 8
Therefore, d = 2 (Since a + b + c = 6)
a = d = 2
Again consider a + b + c + d = 8
Given that CD = 3(BC), i.e. c = 3b
a + b + 3b + d = 8
2 + 4B + 2 = 8 (Since a = d = 2)
4b = 4
b = 1, i.e. BC = 1
Hence, the correct answer is option E. 1
25 Dec 2018, 08:45
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Bunuel
let bc = x so cd= 3x
AB= 6-4x
and we can say
6-4x+4x+6-4x=8
solve for x we get =1
IMO E
