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    A floor of size 13 X 24 is to be paved using square tiles only. What is the smallest number oftiles needed to do this?
    Question

    A floor of size 13 X 24 is to be paved using square tiles only. What is the smallest number oftiles needed to do this?

    A.

    6

    B.

    15

    C.

    8

    D.

    9

    Correct option is D

    Solution:

    If we use only the square tiles to pave a floor of size 13 × 24,

    we will have to use 1 tile of size 13 × 13, 1 tile of size 11 × 11, 5 tiles of size 2 × 2, and 2 tiles of size 1 × 1.

    Hence, the total number of square tiles used is equal to 9.

    ∴ The smallest number of tiles used to pave 13 × 24 is 9.

    Final Answer: (D) 9

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