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28 May 2018, 18:04
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C
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Difficulty:
55%
(hard)
Question Stats:
64% (02:06) correct
36%
(02:02)
wrong
based on 295
sessions
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Not Attempted Yet
In the figure, if the area of triangle DFE is 10 units, what is the area of triangle ABC?
A. AB || DE
B. F is the mid-point of CD and C is the mid point of BF.
A. AB || DE
B. F is the mid-point of CD and C is the mid point of BF.
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fig.PNG [ 4.3 KiB | Viewed 6200 times ]
28 May 2018, 19:17
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GMATSkilled
Nothing much in main statement, so let's start with statement I ..
A. AB||DE..
This tells us that ABC and DCE are SIMILAR triangles
So their sides are in same RATIO..but nothing more
Insufficient
B. F is the mid-point of CD and C is the mid point of BF
This tells us that area of DEF is equal to ares of CEF or area of DCE is 2*10=20..
But nothing about ABC
Insufficient
Combined..
ABC and CDE are similar triangles.
Since C is the midpoint of BF we can find ratio of sides CB and CD..
If DF is x, cF=BC=X
So BC:CD=1:2
In similar triangles, ratio of area is square of ratio of sides.
So 1:4 so 5:20
Area is 5
Sufficient
General Discussion
01 May 2019, 01:37
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