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What fractional part of the total surface area of cube C is [#permalink]
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22 Mar 2008, 01:57
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16. 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.
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Re: 1000DS: Section 2 Question 16 [#permalink]
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22 Mar 2008, 02:24
We need to know all the faces to conclude the fraction part. Stmt 1 > using this we know nothing about the remaining 3 faces Stmt2>We know nothing about the other 3 faces combining 1&2 > we know that of the 6 faces, 3 are white and 1.5 is red and 1.5 is another color thus 1/4th is red so C is the answer
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Re: 1000DS: Section 2 Question 16 [#permalink]
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22 Mar 2008, 02:58
Guys, Can you explain wording of "each of 3 faces"? Is it means that 3 particular faces of cube are exactly 1/2 red (white) or any 3 faces of cube are exactly 1/2 red (white)? Please, clarify!
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Re: 1000DS: Section 2 Question 16 [#permalink]
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22 Mar 2008, 03:31
walker wrote: Guys, Can you explain wording of "each of 3 faces"?
Is it means that 3 particular faces of cube are exactly 1/2 red (white) or any 3 faces of cube are exactly 1/2 red (white)?
Please, clarify! I found I mistake. "Each of 3 faces" means that 3 faces each have exacltly 1/2 red. So we dont know anything about the other 3 faces. And the same with statement 2 E is my choice.
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Re: 1000DS: Section 2 Question 16 [#permalink]
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22 Mar 2008, 03:39
sondenso wrote: "Each of 3 faces" means that 3 faces each have exacltly 1/2 red. So we dont know anything about the other 3 faces. And the same with statement 2 E is my choice. Sondenso, If this meaning is right, we can use following: 1. cube has 6 faces 2. a face can be white or 1/2 red (C) Therefore, C is correct. 3 faces are white and 3 other faces are 1/2 red and \(ratio=\frac{3*\frac12}{6}=\frac14\)
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Re: 1000DS: Section 2 Question 16 [#permalink]
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22 Mar 2008, 03:49
walker wrote: sondenso wrote: "Each of 3 faces" means that 3 faces each have exacltly 1/2 red. So we dont know anything about the other 3 faces. And the same with statement 2 E is my choice. Sondenso, If this meaning is right, we can use following: 1. cube has 6 faces 2. a face can be white or 1/2 red (C) Therefore, C is correct. 3 faces are white and 3 other faces are 1/2 red and \(ratio=\frac{3*\frac12}{6}=\frac14\) Walker, The 1 and the 2 combined do not say "the 3 faces...red" and "the other 3 faces...white", so we have 6 faces, how can we know what face? right?
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Re: 1000DS: Section 2 Question 16 [#permalink]
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22 Mar 2008, 06:54
Sondenso, The stmt2 says "Each of 3 faces of C is entirely white" that definitely means the other 3 faces are 1/2 read, isn't it?
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Re: 1000DS: Section 2 Question 16 [#permalink]
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22 Mar 2008, 11:00
Sorry, guys, I'm not verbal guru
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Re: 1000DS: Section 2 Question 16 [#permalink]
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22 Mar 2008, 19:38
prasannar wrote: Sondenso,
The stmt2 says "Each of 3 faces of C is entirely white" that definitely means the other 3 faces are 1/2 read, isn't it? prasannar, I can not understand how "entirely" says that it is "other"? or "entirely" is "other" @walker, me too. I am not a verbal killer, but...
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Re: 1000DS: Section 2 Question 16 [#permalink]
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22 Mar 2008, 21:02
Stmt2 says 3 faces are entirely white, that leaves us with the other 3 faces and we don't know anything about them Stmt1 + Stmt2 > gives the context that I concluded Walker and Sondenso don't tease with me with the Verbal Guru stuff
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Re: 1000DS: Section 2 Question 16 [#permalink]
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22 Mar 2008, 22:00
prasannar wrote: Stmt2 says 3 faces are entirely white, that leaves us with the other 3 faces and we don't know anything about themStmt1 + Stmt2 > gives the context that I concluded Walker and Sondenso don't tease with me with the Verbal Guru stuff I love this explaination, and the discusion too, you definitely persuded me! Thank you prasannar!
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Re: 1000DS: Section 2 Question 16 [#permalink]
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23 Jan 2011, 09:55
C per me. 3 of the 6 sides are entirely white  means definitely not red. Let's talk about the other 3 sides now. First statement says: 3 of the 6 sides are exactly 1/2 red. Means; they must be talking about the 3 sides which are not entirely white. Now, if "a" is side: area of 1 side is a^2. total area for 6 sides is 6*a^2 area with red will be 3*((a^2)/2). Because half the area of each of the 3 remaining faces is red. (a^2)/2 will be half the area times 3 for three sides. now, divide: [3*((a^2)/2)]/[6*a^2]=1/4. We got the answer.
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Re: 1000DS: Section 2 Question 16
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