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
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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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Question : The length, breadth, and height of a room are 6 m, 4 m 80 cm, and 3 m 60 cm respectively. Find the longest tape that can measure the dimensions of the room exactly.
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