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

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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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The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:
Untitled.png
Untitled.png [ 22.3 KiB | Viewed 2716 times ]
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.

Data Sufficiency
Question: 58
Category: Geometry Circles
Page: 157
Difficulty: 600


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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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SOLUTION

Image
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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RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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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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Re: What is the radius of the circle above with center O? [#permalink] New post 26 Jan 2014, 22:34
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
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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 01 Feb 2014, 08:22
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SOLUTION

Image
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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: What is the radius of the circle above with center O? [#permalink] New post 25 May 2014, 14:23
Bunuel wrote:
SOLUTION

Image
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?
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Re: What is the radius of the circle above with center O? [#permalink] New post 17 Oct 2014, 15:10
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?? :(
Re: What is the radius of the circle above with center O?   [#permalink] 17 Oct 2014, 15:10
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