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What 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?

A. 840

B. 841

C. 820

D. 814

Answer: Option D

Solution(By Examveda Team)

Length of the room
= 15 m 17 cm
= 15 × 100 + 17
= 1517 cm.

Breadth of the room
= 9 m 2 cm
= 902 cm.

The HCF of the 1517 and 902 will be size of square tiles.
HCF 1517 and 902 = 41 cm.

Area of the room
= length × breadth
= 1517 × 902 cm2

Area of tiles = 41 × 41 cm2
So, number of tiles required
= $$\frac{{1517 \times 902}}{{41 \times 41}}$$
= 814 tiles

This Question Belongs to Arithmetic Ability >> Number System

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Comments ( 6 )

  1. Anju Chimouriya
    Anju Chimouriya :
    2 years ago

    How you calculate the HCF . Please shoe that in working notes

  2. Maliha Fatima
    Maliha Fatima :
    3 years ago

    Superb...👍👍

  3. Jaydeep Pakhira
    Jaydeep Pakhira :
    4 years ago

    41 kha se aaya 🤔

  4. Umesh Sharma
    Umesh Sharma :
    4 years ago

    We used hcf to find the max possible dimension of square tile so that we can find minimum number of tiles.

  5. Kumar Chandan
    Kumar Chandan :
    8 years ago

    Hme find karna hai Least number of Tiles, Tiles sabse kam tabhi lagenge jab Tiles ka Area Largest or highest ho. Hme highest area wale tiles nikalna hai isliye HCF use hua hai.

  6. Akki Mishra
    Akki Mishra :
    8 years ago

    Hum yha pe h.c.f kyu use kiye hai.. L.c.m use kyu nai kiye

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