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How much greater is the radius of circle X than that of circle Y?

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How much greater is the radius of circle X than that of circle Y?  [#permalink]

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New post 13 Sep 2018, 02:25
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (00:55) correct 40% (00:39) wrong based on 22 sessions

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Re: How much greater is the radius of circle X than that of circle Y?  [#permalink]

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New post 13 Sep 2018, 03:54
Bunuel wrote:
How much greater is the radius of circle X than that of circle Y?

(1) The diameter of circle X is 10 greater than the diameter of circle Y.
(2) The area of circle X is 55 times the area of circle Y.


Question: \(R_x - R_y = ?\)

Statement 1: The diameter of circle X is 10 greater than the diameter of circle Y.
\(2(R_x - R_y) = 10\)
\(R_x - R_y = 5\)
SUFFICIENT

Statement 2: The area of circle X is 55 times the area of circle Y.
\(R_x^2 / R_y^2 = 55\)
But this doesn't give us the difference between the radius hence
NOT SUFFICIENT

Answer: Option A
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Re: How much greater is the radius of circle X than that of circle Y?  [#permalink]

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New post 13 Sep 2018, 04:08
Statement 1 is clearly sufficient as we can infer that difference in radius is 6
Statement 2 will give us pie*(sq of r1 -sq of r2) =55 which is clearly insufficient
Hence answer is A

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Re: How much greater is the radius of circle X than that of circle Y?  [#permalink]

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New post 13 Sep 2018, 04:14
Statement 1 is sufficient since we directly obtain the difference between R1 and R2 while statement 2 is not. So, option A.
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Re: How much greater is the radius of circle X than that of circle Y?   [#permalink] 13 Sep 2018, 04:14
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How much greater is the radius of circle X than that of circle Y?

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