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# Geometry data sufficiency

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Manager
Joined: 06 Oct 2010
Posts: 56
Geometry data sufficiency [#permalink]

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20 Mar 2011, 18:03
1
KUDOS
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.

Thanks for the your response and explanation!
Manager
Joined: 06 Oct 2010
Posts: 56
Re: Geometry data sufficiency [#permalink]

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20 Mar 2011, 18:06
skbjunior 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.

Thanks for the your response and explanation!

Pardon me for posting this question in a wrong forum. Moderators please move it to the DS forum. Thanks!
Manager
Joined: 14 Feb 2011
Posts: 194
Re: Geometry data sufficiency [#permalink]

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21 Mar 2011, 00:56
skbjunior 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.

Thanks for the your response and explanation!

Statement 1 does not give any information about remaining 3 faces, so insufficient.
Statement 2 does not give any information about remaining 3 faces, so insufficient.

Combining statement 1 and 2 we know that out of 6 faces, 3 are entirely white and remaining 3 are half red, so a total of 1.5 faces out of 6 are red and hence the required fraction is 1.5/6 or 0.25.

Senior Manager
Joined: 17 Mar 2011
Posts: 449
Location: United States (DC)
Concentration: General Management, Technology
GMAT 1: 760 Q49 V45
GPA: 3.37
WE: Information Technology (Consulting)
Re: Geometry data sufficiency [#permalink]

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21 Mar 2011, 06:03
C.

1) gives you no information regarding the other 3 faces.

2) gives you no information regarding the other 3 faces.

If you combine them, the description of the 3 faces in (1) is mutually exclusive of the 3 faces described in (2)
IE a face cant be both 50% red and 100% white, so you know statement 1 and statement 2 are describing different faces.

Based on that, you know how all 6 sides are painted.
Manager
Joined: 06 Oct 2010
Posts: 56
Re: Geometry data sufficiency [#permalink]

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21 Mar 2011, 06:07
Thanks for your response! The official answer is indeed C.

However, I came up with choice A.
We are just asked to find out the fraction of the cube that is red.
When statement (1) tells us that each of the 3 faces of cube is exactly half red, then why should I worry to know about other 3 surfaces. Do not I know from this statement alone that 25% of the cube is red? (since I don't expect 2nd statement to contradict 1st statement.)

beyondgmatscore wrote:
skbjunior 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.

Thanks for the your response and explanation!

Statement 1 does not give any information about remaining 3 faces, so insufficient.
Statement 2 does not give any information about remaining 3 faces, so insufficient.

Combining statement 1 and 2 we know that out of 6 faces, 3 are entirely white and remaining 3 are half red, so a total of 1.5 faces out of 6 are red and hence the required fraction is 1.5/6 or 0.25.

Senior Manager
Joined: 17 Mar 2011
Posts: 449
Location: United States (DC)
Concentration: General Management, Technology
GMAT 1: 760 Q49 V45
GPA: 3.37
WE: Information Technology (Consulting)
Re: Geometry data sufficiency [#permalink]

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21 Mar 2011, 06:12
You don't know anything about the remaining three sides.

They might be 100% red or 0% red

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Re: Geometry data sufficiency   [#permalink] 21 Mar 2011, 06:12
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# Geometry data sufficiency

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