The greatest possible length of a scale that can exactly measure a cloth of lengths 250 cm, 420 cm and 710 cm is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 10 cm.
Given, cloth of lengths 250 cm, 420 cm and 710 cm.
The greatest possible length of cloth = HCF of (250, 420, 710)
Factors of 250 = 2 × 5 × 5 × 5
Factors of 420 = 2 × 3 × 5 × 7
Factors of 710 = 2 × 5 × 71
HCF = 2 × 5 = 10
Hence the greatest possible length of a scale that can exactly measure the clothes is 10 cm.