Question

Two tankers contain 299 litres and 391 litres of kerosene oil, respectively. Find the maximum capacity of a container which can measure the oil of either of the tankers in the exact number of times.​

Answer 1

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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