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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] New post 08 Jul 2010, 04:07
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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.
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Re: Please explain [#permalink] New post 08 Jul 2010, 06:58
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.

Answer: C.

Hope it's clear.
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Re: Please explain [#permalink] New post 10 Jul 2010, 09:48
I got your point Bunuel. Thanks!
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Re: Please explain [#permalink] New post 12 Jul 2010, 21:31
OA is C.
Thanks for the explanation Bunuel.
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what fractional part of the total surface area... [#permalink] New post 18 Feb 2013, 10:10
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

Correct answer is C (together).


However, I think the answer should be A. I dont see why statement 2 is relevant or necessary. A cube has six parts and the question is only asking about the red. Statement 2 doesn't impact how many red faces there are. I know it's useful to account for each face of the cube... but is it really necessary? So if statement 2 read that "each of TWO faces is entirely white" that means 1 face is a mystery and we cant solve the problem?

What do you think? Please explain why I am wrong.
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Re: what fractional part of the total surface area... [#permalink] New post 18 Feb 2013, 10:20
exploringm 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

Correct answer is C (together).


However, I think the answer should be A. I dont see why statement 2 is relevant or necessary. A cube has six parts and the question is only asking about the red. Statement 2 doesn't impact how many red faces there are. I know it's useful to account for each face of the cube... but is it really necessary? So if statement 2 read that "each of TWO faces is entirely white" that means 1 face is a mystery and we cant solve the problem?

What do you think? Please explain why I am wrong.


Merging similar topics. Please refer to the solution above and ask if anything remains unclear.

Also, please search before posting and hide OA's under the spoiler.
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PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


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Re: what fractional part of the total surface area...   [#permalink] 18 Feb 2013, 10:20
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