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:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 5 cm.
Given that
The lengths are given,
3 m 15 cm = 315 cm
5 m = 500 cm
6 m 85 cm = 685 cm
According to the question
The greatest possible length means the HCF of the given lengths
HCF (315, 500, 685)
⇒ 315 = 32 × 5 × 7
⇒ 500 = 22 × 53
⇒ 685 = 5 × 137
So, HCF = 5
Hence, the greatest possible length is 5 cm