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

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Manager
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What fractional part of the total surface area of cube C is [#permalink]  01 Apr 2009, 23:40
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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 1/2 white.
Director
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Re: DS....S2 [#permalink]  02 Apr 2009, 02:24
is it E?
Moderator, please shift it to DS section
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Re: DS....S2 [#permalink]  02 Apr 2009, 17:19
It is C

I was perplexed why the A & B are talking about 3 faces when a cube has 6 faces

Because the faces in A & B are mutually exclusive faces making up for total of 6 faces

If S is the side of the cube, each one's area is S ^2 and 3 halves of that is (3 S ^ 2) /2 divided by 6S ^2 shoudl give 1/4
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Re: DS....S2 [#permalink]  07 Apr 2009, 20:30
milind1979 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 1/2 white.

1: Each of 3 faces of C is exactly 1/2 red.

lol... what about rest 3 faces? do not know..nsf..

2: Each of 3 faces of C is entirely 1/2 white.
Ok, 1/2 of each of 3 faces is white but what about the other 1/2 of the each of 3 faces? The other half could be green. 1/2 white doesnot mean that the other 1/2 is red..........nsf..

Togather also nsf as st. 2 is not ambigious...
The 3 faces in st.2 could be the same faces that were in st.1.

E.
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Re: DS....S2 [#permalink]  08 Apr 2009, 10:45
I think it's E.

stmnt1 - nsf, because it's not known how the 4th face of the cube is painted
stmnt2 - nsf, because it's not known how the 4th face of the cube is painted

Combining them does not help.
Director
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Re: DS....S2 [#permalink]  08 Apr 2009, 22:39
milind1979 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 1/2 white.

Question has mistake in it. I dont understand what does "entirely 1/2 white" mean.
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Re: DS....S2 [#permalink]  13 Apr 2009, 18:50
I feel it should be E.
Re: DS....S2   [#permalink] 13 Apr 2009, 18:50
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# What fractional part of the total surface area of cube C is

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