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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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