3 different pieces of iron with lengths 60 cm, 48 cm and 36 cm. Rods are to be made by cutting these pieces. Each rod should be of same length. No iron is to be wasted. What is the length (in cm) of longest such rod?
Show answer & explanation
Correct answer: B
Explanation
Given:
Lengths = 60 cm, 48 cm, 36 cm
According to the formula:
Longest equal rod = HCF (60, 48, 36)
60 = 2² × 3 × 5
48 = 2⁴ × 3
36 = 2² × 3²
HCF = 2² × 3 = 4 × 3 = 12 cm