Question

# Two tankers contain $$150$$ litres and $$100$$ litres of petrol respectively. The maximum capacity of container which can be used to measure petrol exactly is:

A
150 litres
B
100 litres
C
50 litres
D
25 litres

Solution

## The correct option is D $$50$$ litresCapacity of $$1$$st tanker $$= 150$$ litresCapacity of $$2$$nd tanker $$= 100$$ litresCapacity of container which can be used to measure petrol exactly $$=$$ HCF$$(150,100)$$By Prime Factorisation,$$150 = 2\times 3\times 5^{2}$$$$100 = 2^{2}\times 5^{2}$$H.C.F. $$= 2\times 5^{2} = 50$$Hence, the answer is $$50$$ litres.Maths

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