What fractional part of the total surface area of cube C is : GMAT Data Sufficiency (DS)
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# What fractional part of the total surface area of cube C is

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What fractional part of the total surface area of cube C is [#permalink]

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08 Jul 2010, 03:07
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What fractional part of the total surface area of cube C is red?
(1) Each of 3 faces of C is exactly 1/2 red.
(2) Each of 3 faces of C is entirely white.
[Reveal] Spoiler: OA
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08 Jul 2010, 05:58
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sky wrote:
What fractional part of the total surface area of cube C is red?
(1) Each of 3 faces of C is exactly 1/2 red.
(2) Each of 3 faces of C is entirely white.

I thought the answer is A .Please can anybody explain why it is not.

(1) Each of 3 faces of C is exactly 1/2 red --> 1/2 of 3 faces out of 6 is red, but we know nothing about the other 3. What if some fraction of the other 3 faces is red also? For example 1/3 of the 4th face is red, 1/4th of the 5th face and 1/10th of the 6th face? Hence statement (1) is not sufficient.

(2) Each of 3 faces of C is entirely white --> 3 faces out of 6 are white, but we know nothing about the other 3. Not sufficient.

(1)+(2) Half of 3 faces is red and other 3 faces are entirely white --> fractional part which is red is 1.5/6=1/4. Sufficient.

Hope it's clear.
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10 Jul 2010, 08:48
I got your point Bunuel. Thanks!
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12 Jul 2010, 20:31
OA is C.
Thanks for the explanation Bunuel.
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What fractional part of the total surface area of cube C is [#permalink]

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05 Dec 2013, 09:05
What fractional part of the total surface area of cube C is red?
(1) Each of 3 faces of C is exactly red.
(2) Each of 3 faces of C is entirely white.
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Re: What fractional part of the total surface area of cube C is [#permalink]

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05 Dec 2013, 09:11
Vidhi1 wrote:
What fractional part of the total surface area of cube C is red?
(1) Each of 3 faces of C is exactly 1/2 red.
(2) Each of 3 faces of C is entirely white.

Merging similar topics. Please refer to the solution above.
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Re: What fractional part of the total surface area of cube C is [#permalink]

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27 Jan 2015, 12:47
Hello from the GMAT Club BumpBot!

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Re: What fractional part of the total surface area of cube C is [#permalink]

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19 May 2016, 11:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What fractional part of the total surface area of cube C is   [#permalink] 19 May 2016, 11:36
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