Posted on 2008-10-27
a question of coconuts..
An island is inhabited by 5 men and a pet monkey. One afternoon the men gathered a large pile of coconuts, which they proposed to divide equally among themselves the next morning.
During night one of the men awoke and on dividing the nuts into 5 equal parts he found that there was one nut left over which he gave to the monkey. He then hid his one-fifth share.
Later another man awoke with the same idea in mind. He went to the pile, divided into 5 equal parts, and found one nut left over which he gave to the monkey and then hid his 1/5th share.
During the same night, each of the three men arose, went to the pile, and followed the same procedure. Each time one cocnut was left over, and given to monkey.
The next morning, all 5 men went to the diminished pile and divided into 5 equal parts, finding that one coconut remained over which they gave to the monkey.
What is the least number of nuts the original pile could have contained?