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Question

How many smaller cubes have at least two of their faces painted with different colours?

A
2
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B
4
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C
6
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D
8
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E
None of these
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Solution

The correct option is D 8
The opposite faces of the original cube are of the same colour. Thus, there are two opposite faces on the original cube which are coloured silver. There are four smaller cubes on each face. Hence, all the 8 cubes have silver colour on at least one of their faces.
There are 8 smaller cubes at 8 corners. All these smaller cubes are coloured on three of their faces with different colours.

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