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605-655 (Medium)|   Geometry|      
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metallicafan
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In the fi…gure, what is the value of y 06 Jul 2012, 10:12
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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:

45% (medium)

Question Stats:

66% (01:35) correct 34% (01:15) wrong based on 61 sessions

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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: https://www.gmathacks.com
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E

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Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
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cyberjadugar
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In the fi…gure, what is the value of y 06 Jul 2012, 13:25
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Hi,

You will find the explanation here:
https://gmatclub.com/forum/what-is-the-area-of-circle-passing-points-a-b-c-in-the-134911.html

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ashish8
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In the fi…gure, what is the value of y 06 Jul 2012, 19:29
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I still don't understand why the answer is not C.
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bschooladmit
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In the fi…gure, what is the value of y 06 Jul 2012, 21:06
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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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In the fi…gure, what is the value of y 06 Jul 2012, 21:39
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metallicafan


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

See https://www.mathopenref.com/trianglecircumcircle.html
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In the fi…gure, what is the value of y 26 Aug 2016, 08:06
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