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12 Apr 2014, 11:27
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B
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Difficulty:
75%
(hard)
Question Stats:
46% (01:45) correct
54%
(02:01)
wrong
based on 304
sessions
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If BC = BD, what is the length of BC?
(1) x = 30
(2) AD = 1
Attachment:
DS1.png [ 11.15 KiB | Viewed 10607 times ]
13 Apr 2014, 06:56
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If BC = BD, what is the length of BC?
Look at the diagram below:
As you can see fro the stem we can get that \(\angle{DBA} \angle{DAB}=2x\), from which it follows that AD = BD, thus AD = BD = BC.
(1) x = 30. This statement must be insufficient, because we are asked to find the length and all we know are angles. Not sufficient
(2) AD = 1 --> we know that AD = BC, thus BC = 1. Sufficient.
Answer: B.
Hope it's clear.
Attachment:
Untitled.png [ 12.22 KiB | Viewed 10056 times ]
General Discussion
JusTLucK04
GMAT 1: 730 Q51 V38
Posts: 272
12 Apr 2014, 16:21
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ind23
An easy one..just assign x to Angle-BDC & Angle-BCD..keep on applying the Sum of all angles is 180 rule until you get all the angles in terms of x
You get
-->Angle DAB = Angle DBA = 2x
--> AD = BD
As BD=BC
--> AD=BD=BC=1
As given in B
So B it is
