Question

What is the least number of square tiles required to pave the floor of a room 11 m 47 cm long and 6 m 82 cm broad?

A 614 Correct Answer Incorrect Answer
B 814 Correct Answer Incorrect Answer
C 714 Correct Answer Incorrect Answer
D 514 Correct Answer Incorrect Answer
E 314 Correct Answer Incorrect Answer

Solution

Length of the floor = 11 m 47 cm = 1147 cm Breadth of the floor = 6m 82 cm = 682 cm. Area of the floor = 1147 times; 682 cm^2 The number of square tiles will be least, when the size of each tile is maximum. Therefore, Size of each tile = HCF of 1147 and 682 = 31 Required number of tiles = (1147 x 682)/(31 x 31) = 814

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