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GRE Math Challenge #51- BD/AB or DC/BC

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE Math Challenge #51- BD/AB or DC/BC [#permalink] New post 03 May 2015, 00:31
Expert's post
00:00

Question Stats:

100% (00:48) correct 0% (00:00) wrong based on 5 sessions
Image

Quantity A: BD/AB
Quantity B: DC/BC

• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined

[Reveal] Spoiler:
Attachment:
Quant1.jpg
Quant1.jpg [ 10.73 KiB | Viewed 3130 times ]
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #51- BD/AB or DC/BC [#permalink] New post 04 Oct 2016, 01:28
Great question. Can anybody give the answer and explanation?
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Re: GRE Math Challenge #51- BD/AB or DC/BC [#permalink] New post 31 Oct 2016, 10:09
If the triangle was (equilateral or isosceles or AD=DC) then BD/AB = Sin60 and DC/BC=Cos60. So Choice A. but
it is not mentioned in question. so it could be any triangle hence Choice D.
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Re: GRE Math Challenge #51- BD/AB or DC/BC [#permalink] New post 13 Nov 2016, 07:53
Expert's post
sandy wrote:
Image

Quantity A: BD/AB
Quantity B: DC/BC


Let's sketch some diagrams that CONFORM to the given information (triangle with perpendicular line drawn from top vertex)

Here's one:
Image
In this diagram, BD is much shorter than AB, so BD/AB is a small number that's pretty close to 0.
Also, we can see that DC and BC are close to having the same length. So, DC/BC is pretty close to 1
So, in this instance, Quantity B is greater.



Here's another diagram:
Image
In this diagram, BD and AB are close to having the same length. So BD/AB is probably between 0.5 and 1
Also, we can see that DC is much shorter than BC, so DC/BC is a small number that's pretty close to 0
So, in this instance, Quantity A is greater.

Answer:
[Reveal] Spoiler:
D

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Re: GRE Math Challenge #51- BD/AB or DC/BC   [#permalink] 13 Nov 2016, 07:53
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GRE Math Challenge #51- BD/AB or DC/BC

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