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Direction: 125 cubes of similar size are arranged in the form of the bigger cube (5 cubes on each side, i.e., 5 x 5 x 5) All the small cubes lying on the edge of the top layer of the bigger cube are removed and also cubes lying at the four corners of the bottom face are removed. All exposed faces of the block thus left are coloured red.

  1. How many cubes have three red faces each?
    1. 20
    2. 12
    3. 8
    4. 16
Correct Option: A

Number of cubes with three coloured face on the top side = 4
Number of cubes with three coloured face on the 2nd from top side = 4
Number of cubes with three coloured face on the bottom side = 12
Total number of such cubes = 12 + 8 = 20



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