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Cube surface - fraction


Sticktoit

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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.

 

The OA is C. Shouldn’t it be A?

 

(1) alone is INSUFF

(2) alone is INSUFF

 

(1) and (2) are SUFFICIENT

 

A cube has 6 faces, and since each one can't be all white and 1/2 red at the same time, this accounts for all 6 faces.

 

So, half of the faces are half red, so 1/4 of the total.

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stmt 1) -

= Surfaces colored in red / total surface area

= (side ^ 2) + 1/2 (side ^ 2) / 6 (side ^ 2)

 

I am not able to understand why stmt 1) is not sufficient. We have been given the information about the cells colored in red. Do we need to know about the remaining 3 faces...

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