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What is the radius of the circle above with center O?

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Bunuel
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What is the radius of the circle above with center O? [#permalink] New post  26 Jan 2014, 09:42
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What is the radius of the circle above with center O?

(1) The ratio of OP to PQ is 1 to 2.

(2) P is the midpoint of chord AB.

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Bunuel
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Re: What is the radius of the circle above with center O? [#permalink] New post  26 Jan 2014, 09:42
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What is the radius of the circle above with center O?

(1) The ratio of OP to PQ is 1 to 2.

(2) P is the midpoint of chord AB.

The answer to this question is straight E. Even when we consider the statements together we only have the ratios, not absolute values of any line segment.

Answer: E.
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Re: What is the radius of the circle above with center O? [#permalink] New post  26 Jan 2014, 10:42
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:
Untitled.png
What is the radius of the circle above with center O?

(1) The ratio of OP to PQ is 1 to 2.

(2) P is the midpoint of chord AB.



Questions asks the absolute value and none of the options gives an absolute value (Both of them gives ratios).

hence Option E)
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AKG1593
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Re: What is the radius of the circle above with center O? [#permalink] New post  26 Jan 2014, 22:34
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From S1:OP:PQ=1:2
OQ=radius.It's not possible to calculate a single value for rad based on ratio.Insufficient
From S2:P=midpt of chord AB
Again this implies triangles OAP & OQP are congruent but gives no unique value can be calculated based on this.Insufficient.
Combining the two,we do get any absolute value for radius.
Ans.E
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Re: What is the radius of the circle above with center O? [#permalink] New post  28 Jan 2014, 01:52
Statement (1) says PQ= 2OP, giving multiple values for the radius. Insufficient

Statement (2) has no relationship with the radius whatsoever, hence Insufficient

Together, (1) and (2) are clearly not sufficient.

Answer E.
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Re: What is the radius of the circle above with center O? [#permalink] New post  17 Oct 2014, 15:10
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It took me 18 seconds to choose E, but it took me 1:18 to finally click E as I keep wondering, is it that easy?? :(
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Re: What is the radius of the circle above with center O? [#permalink] New post  28 Apr 2016, 13:32
Statement 1 gives a ratio so clearly insufficient
Statement 2 gives information that can already be inferred from the question stem so clearly insufficient
combining we don't get any new information
clearly the correct answer is option - E
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baraa900
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Re: What is the radius of the circle above with center O? [#permalink] New post  16 Dec 2020, 03:11
AKG1593 wrote:
From S1:OP:PQ=1:2
OQ=radius.It's not possible to calculate a single value for rad based on ratio.Insufficient
From S2:P=midpt of chord AB
Again this implies triangles OAP & OQP are congruent but gives no unique value can be calculated based on this.Insufficient.
Combining the two,we do get any absolute value for radius.
Ans.E



what is the relation of absolute value to radius?
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Re: What is the radius of the circle above with center O? [#permalink] New post  05 Jul 2021, 06:11
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:
Untitled.png
What is the radius of the circle above with center O?

(1) The ratio of OP to PQ is 1 to 2.

(2) P is the midpoint of chord AB.


Solution:

Question Stem Analysis:

We need to determine the radius of circle O, i.e., the length of OQ.

Statement One Alone:

We see that OQ is 3 * OP. However, since we can’t determine the length of OP, we can’t determine the length of OQ. Statement one alone is not sufficient.

Statement Two Alone:

This just tells us that AP = PB and AB is perpendicular to OQ. It doesn’t allow us to determine the length of OQ. Statement two alone is not sufficient.

Statements One and Two Together:

With the two statements, we still can’t determine the length of OQ. We actually can’t even determine the length of any segment in the diagram, such as OP, PQ, AP, or BP. Both statements together are still not sufficient.

Answer: E
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