Question

there are 868and 980 litters of milk in two drums respectively. what is the biggest size of a pot using the milk of two drums can be measured in full numbers​

Answer 1

Answer:

Answer: 1, 3, 9, 27

Logic:

If we have a can of 1 litre then the range that we can measure: [1, 1]

If we have cans of 1 litre and 3 litre then the range that we can measure: [1, 4] = { 1, 3–1, 3, 3+1 }

How to choose the next can to have: 2*(high of last range) + 1 = 2*4+1 = 9

( Verify it why we choose 3 litre can last time )

So, If we have cans: 1, 3, 9 then the measurable range: [1, 13] = { 9 - [1, 4] , 9 + [1, 4] }

If we have cans: 1, 3, 9, 27 (i.e. 2*13+1) then the range: [1, 27+13] = [1, 40]