SSC MTS 2026 PYQ — Question 18

SSC MTS - 16 Feb 2026 - Shift 2 • Reasoning • Q18

There is a rectangular floor of size 336 cm × 420 cm. The floor is to be tiled with largest square tiles. How many such tiles will be required?

Show answer & explanation

Correct answer: C

Explanation

Given:

Length of the floor = 420 cm

Width of the floor = 336 cm

According to the formula:

Side of the largest square tile = HCF (420, 336)

Number of tiles = (Length × Width) / (Side)²

HCF (420, 336) = 84

Number of tiles = (420 × 336) / (84 × 84) = 20 tiles