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If ropes of (72) metres and (120) metres are to be cut into equal pieces of maximum length, what will be the length of each piece?

Answer and explanation

Correct answer: (24) metres

Step 1: For maximum equal length, find the HCF. Step 2: (72=2^3\times3^2) and (120=2^3\times3\times5), so HCF (=2^3\times3=24). Step 3: For maximum equal cutting, use HCF.

Related tags

Real-NumbersHcfCutting-ProblemHcf And Lcm Using Prime FactorisationHcf Lcm Using Prime FactorisationReal NumbersMathematicsClass 10 Mcq

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