Question:-There are 8 stones which are similar except one which is heavier than the others. To find it, you are given a pan balance. What is the minimal number of weighing needed to find out the heaviest stone ?
Ans:-Divide the stones into sets like (3,3,2). Use pan to weigh (3,3).
If the pan is remains balanced, the heavier is in the remaining (2). use pan again to find which is heavy from (2). (Total pan use 2)
If the pan does not remain balanced when weighing (3,3), pick the set of stones that outweigh other. Divide it into (1,1,1). use pan to weigh first two. It it remains balanced, the remaining stone is the heavier, otherwise the one outweighing other is heavier(total pan use 2)