Multiple Choice Questions on All surfaces of a cube are colored If a number of smaller cubes are taken out from it each side 1 4 ........... for Bihar civil service (BPSC) Preparation

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Multiple Choice Questions

All surfaces of a cube are colored If a number of smaller cubes are taken out from it each side 1 4 ...........

Quantitative Aptitude (CSC) Number System
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    All surfaces of a cube are colored. If a number of smaller cubes are taken out from it, each side 1/4 the size of the original cube's side, Find the number of cubes with only one side painted.

    24

    Correct Answer

    36

    Incorrect Answer

    64

    Incorrect Answer

    144

    Incorrect Answer
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    Explanation:

    The original (colored) cube is divided into 64 smaller cubes as shown in the figure.

    The four central cubes on each face of the larger cube, have only one side painted.

    Since, there are six faces, therefore total number of such cubes = 4 x 6 = 24.

    Hence, option 1 is the correct answer.

    By: MIRZA SADDAM HUSSAIN
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