Question

31. Two tankers contain 580 litres and 860 litres of oil respectively. Find the maximum capacity o
the container which can measure the oil of both the tankers when used an exact number of
times.​

Answer 1

Answer:             Expert Verified

A container can measure 850 liters of petrol an exact number of times(i.e. in integral multiple) if its capacity in liters is a divisor of 850. Also to measure 680 liters of petrol the capacity in liters must also be divisor of 680.

Therefore, the required maximum quantity of the container is the H.C.F of 850 L and 680 L.

Hence the maximum quantity of the container = 170 L.

Required number of times = (5+4) = 9.    (Ans.)

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