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Question

A cube is coloured blue on one face, yellow on the opposite face, red on another face and green on a face adjacent to the red face. The other two faces are left uncoloured. It is then cut into $$64$$ smaller cubes of equal size.
How many cubes are have a least two faces coloured ?  [#9]


A
32
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B
10
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C
28
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D
16
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Solution

The correct option is D $$16$$
Take a 4x4x4 cube 
Paint Blue on bottom and red on top.
Red on left side and green on back

Ref figure.
cubes having at least two faces coloured are in row1 & row 4 of column a, e, i, m, n, o, p = 2 x 7 = 14
cubes having at least two faces coloured are in row2 & row 3 of column m = 2 x 1 = 2
total cubes having at least two faces coloured = 14 + 2 = 16

2028839_1961368_ans_72266b077abd44e8bb17c2952be1008f.jpg

Mathematics

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