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Quantitative Aptitude (CDS) Mensuration 2D

A floor of a big hall has dimensions 30 m 60 cm and 23 m 40 cm. It is to be paved with square tiles of same size. What is the minimum number of tiles required ?

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2023 CDS -1 MATH

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221

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Explanation:

- To find the minimum number of square tiles required, we need to calculate the greatest common divisor (GCD) of the floor's dimensions converted into the same units.

- Convert the dimensions to centimeters:

- Length: 30 m 60 cm = 3060 cm

- Width: 23 m 40 cm = 2340 cm

- Find the GCD of 3060 cm and 2340 cm. The GCD is 180 cm.

- Each tile should be 180 cm x 180 cm, as it represents the largest square tile that fits perfectly.

- Calculate the number of tiles required:

- Tiles along the length: 3060 cm / 180 cm = 17 tiles

- Tiles along the width: 2340 cm / 180 cm = 13 tiles

- Multiply to find the total number of tiles: 17 tiles x 13 tiles = 221 tiles

- Correct Answer: Option 4 - 221