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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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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.

Re: What is the radius of the circle above with center O? [#permalink]

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26 Jan 2014, 23:34

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 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.

Re: What is the radius of the circle above with center O? [#permalink]

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25 May 2014, 15:23

Bunuel wrote:

SOLUTION

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.

Hi Bunuel,

Would anything have changed if they either A) Provided the area of QPB or B) If they mentioned that the AB was the radius and it was cut in half?

My guess is that if they provided the area, we could get the value of AQB and equate the earlier ratio of OP to PQ. This would give us the diameter essentially and we could get the radius from that. Is that correct?

Re: What is the radius of the circle above with center O? [#permalink]

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05 Mar 2016, 10:47

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Re: What is the radius of the circle above with center O? [#permalink]

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28 Apr 2016, 14:32

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

gmatclubot

Re: What is the radius of the circle above with center O?
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28 Apr 2016, 14:32

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