Question : The length, breadth, and height of a room are 6 m 40 cm, 4 m 80 cm, and 3 m 20 cm respectively. Find the longest tape that can measure the dimensions of the room exactly.
Option 1: 1 m 80 cm
Option 2: 1 m 20 cm
Option 3: 1 m 60 cm
Option 4: 1 m 40 cm
Correct Answer: 1 m 60 cm
Solution :
Given,
Length of the room = 6 m 40 cm = 640 cm
Breadth of the room = 4 m 80 cm = 480 cm
Height of the room = 3 m 20 cm = 320 cm
We can write,
640 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5
480 = 2 × 2 × 2 × 2 × 2 × 3 × 5
320 = 2 × 2 × 2 × 2 × 2 × 2 × 5
HCF of 640, 480, and 320 = 2 × 2 × 2 × 2 × 2 × 5 = 160 = 1 m 60 cm
Hence, the correct answer is 1 m 60 cm.
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