Question

two tankers contain 850and 680 litres of petrol respectively find the maximum capacity of a container which can measure the petrol of oil tanker in 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 the 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.)