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

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Math Expert
Joined: 02 Sep 2009
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How much greater is the radius of circle X than that of circle Y?  [#permalink]

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13 Sep 2018, 01:25
00:00

Difficulty:

45% (medium)

Question Stats:

67% (00:56) correct 33% (00:48) wrong based on 15 sessions

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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.

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

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13 Sep 2018, 02:54
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

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

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13 Sep 2018, 03:08
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

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

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13 Sep 2018, 03:14
Statement 1 is sufficient since we directly obtain the difference between R1 and R2 while statement 2 is not. So, option A.
Re: How much greater is the radius of circle X than that of circle Y? &nbs [#permalink] 13 Sep 2018, 03:14
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