Find the maximum size of each vessel, if the oil contained in two cans of
size 84 liters and 144 liters has to be filled in these vessels exactly,
without leaving any oil behind.
It is 12
Answers
Answer:
We visualise the problem and the situation practically in the following way :- Oil is contained in a large container . We have to transfer oil from this large container to two cans with maximum capacities as 84 litre and 144 litre . We have to select an appropriate bottle with maximum size ( to minimize the number of transference ) so that each time the bottle is full to the brim for transference of oil , and ultimately no oil is left in the large container . Thus , we have to determine the MAXIMUM SIZE OF THE BOTTLE NEEDED TO FILL TWO CANS ( WITH CAPACITIES OF 84 L AND 144 L ) , WITH OIL BEING TRANSFERRED FROM A LARGE CONTAINER WITH CONDITIONS THAT NO PARTIAL FILLING OF THE BOTTLE IS ALLOWED AND NO OIL SHOULD BE LEFT IN THE LARGE CONTAINER .