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In the circular region shown, what portion of the total area is sectio

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In the circular region shown, what portion of the total area is sectio  [#permalink]

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13 Apr 2018, 00:11
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Difficulty:

25% (medium)

Question Stats:

79% (01:21) correct 21% (01:04) wrong based on 43 sessions

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In the circular region shown, what portion of the total area is section A?

(1) Sections A and B account for 8/9 of thetotal area.
(2) Section B takes up three times as much area as section C.

Attachment:

2018-04-13_1209.png [ 10.3 KiB | Viewed 348 times ]

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Re: In the circular region shown, what portion of the total area is sectio  [#permalink]

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13 Apr 2018, 09:52
Bunuel wrote:

In the circular region shown, what portion of the total area is section A?

(1) Sections A and B account for 8/9 of thetotal area.
(2) Section B takes up three times as much area as section C.

Attachment:
2018-04-13_1209.png

(1) A + B = 8/9 of total. This means C occupies = 1 - 8/9 = 1/9 of total area.
But nothing else given, so we cannot say what fraction is section A. Not sufficient.

(2) Let area of section C = x, thus area of section B = 3x. But this is not enough to know what fraction is section A. Not sufficient.

Combining the statements, C = 1/9 , thus from statement 2, B = 3/9. Together, C + B = 1/9 + 3/9 = 4/9
Thus A occupies = 1 - 4/9 = 5/9 of total area. Sufficient. Hence C answer
Re: In the circular region shown, what portion of the total area is sectio &nbs [#permalink] 13 Apr 2018, 09:52
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