The least number of square tiles required to pave the ceiling of a room 12 m 95 cm long and 3 m 85 c...........

Quantitative Aptitude (MTS) Mensuration 2D

The least number of square tiles required to pave the ceiling of a room, 12 m 95 cm long and 3 m 85 cm broad, is:

This questions was previously asked in

SSC MTS 11th October 2021 Shift-2

417

517

407

507

Correct option 3: 407

- To find the least number of square tiles required to pave the ceiling, we first convert all dimensions to centimeters:

- Length = 12 m 95 cm = 1295 cm

- Breadth = 3 m 85 cm = 385 cm

- To use the least number of square tiles, each tile should be as large as possible—this means side = HCF(1295, 385).

- Finding HCF of 1295 and 385:

- HCF = 35 cm

- Area of ceiling = 1295 × 385 = 498,575 sq. cm

- Area of one tile = 35 × 35 = 1,225 sq. cm

- Number of tiles = 498,575 ÷ 1,225 = 407

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