Question
Download Solution PDFManoj has 200 litres of Oil A and 274 litres of Oil B. He fills a number of identical containers with the two types of oil in a manner that each container has only one type of oil, and all containers are completely filled. What can be the maximum volume (in litres) of each container that Manoj uses, so that all the oil that Manoj has, of both the types, can be poured into these containers?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Volume of Oil A = 200 litres
Volume of Oil B = 274 litres
Formula used:
The maximum volume of each container = HCF (Highest Common Factor) of the volumes of Oil A and Oil B.
Calculation:
Find HCF of 200 and 274:
Prime factorization of 200 = 2 × 2 × 2 × 5 × 5
Prime factorization of 274 = 2 × 137
Common factor = 2
⇒ HCF = 2
∴ The maximum volume of each container is 2 litres.
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