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

Question

https://gmatclub.com/forum/download/file.php?id=22168 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. Untitled.png

Bunuel · Accepted Answer

SOLUTION

https://gmatclub.com/forum/download/file.php?id=22168 
 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.

kinjiGC · Answer

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

hence Option E)

AKG1593 · Answer

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

Cosmas · Answer

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.

MulanQ · Answer

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??

rhine29388 · Answer

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

baraa900 · Answer

what is the relation of absolute value to radius?

ScottTargetTestPrep · Answer

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

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