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# In the following figure, two circles with center A and B tou

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Director
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In the following figure, two circles with center A and B tou [#permalink]  29 Sep 2017, 05:06
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In the following figure, two circles with center A and B touch a larger circle with center O internally. The ratio of the radii of circle A to circle B is 7:9.

 Quantity A Quantity B OA OB

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Quantitative Section 9 Question 4 of 20 ID: Q02-82
[Reveal] Spoiler: OA

Last edited by Bunuel on 01 Oct 2017, 04:25, edited 2 times in total.
Renamed the topic and edited the question.
Director
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Re: Quantitative Section 9 Question 4 of 20 ID: Q02-82 [#permalink]  29 Sep 2017, 06:37
IlCreatore wrote:
In the following figure, two circles with center A and B touch a larger circle with center O internally. The ratio of the radii of circle A to circle B is 7:9.

Quantity A

OA
Quantity B

OB

The explanation provided on the test is not very informative. It says "Solve"
Any hint?

Given
$$\frac{RA}{RB}$$=$$\frac{7}{9}$$⇒RB>RA

This works only if the centre A is tangent to the centre O, then
OA=RO−RA

Similarly If the circle with center B is tangent to the circle with center in O we would have:

OB=RO−RB

Therefore we would have RB>RA and OA>OB.

I think some point is missing in the ques.
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Re: Quantitative Section 9 Question 4 of 20 ID: Q02-82 [#permalink]  29 Sep 2017, 07:14
Expert's post
Please guys format the question as it should be.

Back to the question, I checked it out .......and you are right either the stem missing something and the explanation misses totally.

Fixin a while. Thank you
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Director
Joined: 03 Sep 2017
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Kudos [?]: 330 [1] , given: 66

Re: Quantitative Section 9 Question 4 of 20 ID: Q02-82 [#permalink]  30 Sep 2017, 08:30
1
KUDOS
Carcass wrote:
Please guys format the question as it should be.

Back to the question, I checked it out .......and you are right either the stem missing something and the explanation misses totally.

Fixin a while. Thank you

Sorry for the posting I was in a rush.

Thanks for checking!
Re: Quantitative Section 9 Question 4 of 20 ID: Q02-82   [#permalink] 30 Sep 2017, 08:30
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