JIPMAT 2022 (QA) - Floor of a room is 15 m 17 cm long and 9 m 2 cm broad. What is the least number of square tiles required to pave the floor? | PYQs + Solutions

JIPMAT 2022

Geometry

Solids

Easy

Floor of a room is $15 \text{ m } 17 \text{ cm}$ long and $9 \text{ m } 2 \text{ cm}$ broad. What is the least number of square tiles required to pave the floor?

768

906

814

652

Correct Option: 3

Convert everything into easier units first:

15

17

=1517

\newline

9

2

=902

Area of the room

=1517\times902=1368334

^2

To find the least number of square tiles required, the area needs to be divided perfectly by the highest possible number, that still keeps it an integer, i.e. the HCF of 1517 and 902, which is 41.

So, least number of square tiles

=\frac{1517\times902}{41\times41}=814

JIPMAT 2022 (QA) PYQs

Floor of a room is 15 m 17 cm15 \text{ m } 17 \text{ cm}15 m 17 cm long and 9 m 2 cm9 \text{ m } 2 \text{ cm}9 m 2 cm broad. What is the least number of square tiles required to pave the floor?

Keyboard Shortcuts

Floor of a room is $15 \text{ m } 17 \text{ cm}$ long and $9 \text{ m } 2 \text{ cm}$ broad. What is the least number of square tiles required to pave the floor?