Question : The greatest possible length that can be used to measure exactly the lengths of 3 m 15 cm, 5 m, and 6 m 85 cm is:
Option 1: 9 cm
Option 2: 11 cm
Option 3: 7 cm
Option 4: 5 cm
Correct Answer: 5 cm
Solution :
Given: The lengths are 3 m 15 cm, 5 m, and 6 m 85 cm.
1 m = 100 cm
3 m 15 cm = 300 + 15 = 315 cm, 6 m 85 cm = 600 + 85 = 685 cm
The greatest possible length that can be used to measure exactly the lengths of 315 cm and 685 cm
= HCF of 315 and 685 = 5 cm
Hence, the correct answer is 5 cm.
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