Which is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9...........

Quantitative Aptitude (CGL) LCM, HCF

Which is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

840

841

820

814

- First, convert the dimensions of the room to centimeters:

- Length: 15 m 17 cm = 1517 cm

- Breadth: 9 m 2 cm = 902 cm

- To find the largest square tile that can fully cover the floor, calculate the greatest common divisor (GCD) of 1517 and 902.

- GCD of 1517 and 902 is 41 cm.

- The area of the room is 1517 cm * 902 cm.

- The area of each tile is 41 cm * 41 cm.

- The number of tiles needed is calculated by dividing the area of the room by the area of one tile:

- (1517 * 902) / (41 * 41) = 814 tiles

- The correct answer is: Option 4, 814

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