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In the fi…gure, what is the value of y

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In the fi…gure, what is the value of y [#permalink] New post 06 Jul 2012, 09:12
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

61% (01:47) correct 39% (00:37) wrong based on 18 sessions
In the fi…gure, what is the value of y?

(1) y = 2x
(2) Angle DCA = 30

If y = 2x, doesn't it mean that triangle ABC is inscribed in a circle? Angle ABC would be in the center, and angle ABC would be an inscribed angle.

Source: http://www.gmathacks.com
[Reveal] Spoiler: OA

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Re: In the fi…gure, what is the value of y [#permalink] New post 06 Jul 2012, 12:25
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Re: In the fi…gure, what is the value of y [#permalink] New post 06 Jul 2012, 18:29
I still don't understand why the answer is not C.
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Re: In the fi…gure, what is the value of y [#permalink] New post 06 Jul 2012, 20:06
Please don't assume things by yourself. That's the worst thing one can do on a GMAT. What you see can be misleading. Don't let it.
Given:
a. Y=2x => Nothing. Because D can be any where within the triangle. One such point is where you said - circle scenario. Remember in circle scenario the radius are equal. Here, you cannot assume that. Hence, Insuff.
b. angle DCA = 30. Again here, since we don't know AD=DC, or if DC is angular bisector. Therefore, insuff.
c. Together, still insuff because we still don't know value of angle DAC.


Answer E.
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Re: In the fi…gure, what is the value of y [#permalink] New post 06 Jul 2012, 20:39
metallicafan wrote:

If y = 2x, doesn't it mean that triangle ABC is inscribed in a circle? Angle ABC would be in the center, and angle ABC would be an inscribed angle.


All triangles can be inscribed in a circle, it doesn't follow that ABC is in the centre.

See http://www.mathopenref.com/trianglecircumcircle.html
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Re: In the fi…gure, what is the value of y   [#permalink] 06 Jul 2012, 20:39
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