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【Haichuan Leisure Brain Teaser】Five monkeys dividing peaches – how many peaches? It’s a brain-teaser!

2017-03-07View Original

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Saw it in the group, so sharing it here with more sea lovers. Let’s all use our brains! Five monkeys together picked a bunch of peaches. Being too tired, they decided to take a nap first before dividing them. After a while, one of the monkeys woke up; seeing that the other monkeys hadn’t arrived, it divided the peaches into 5 equal parts. There was one peach left over, so it ate that one and took one of the equal parts for itself. After a while, the second monkey arrived. Not knowing that another companion had already come, it thought it was the first to arrive. So it piled up the peaches on the ground and divided them into 5 equal parts once again; finding that there was one more peach, it ate that one as well and took one of the portions for itself. The third, fourth, and fifth monkeys did the same thing...... Based on these conditions, how many peaches did the 5 monkeys pick in total at least? How many peaches were left after the fifth monkey left?
Reply #22017-03-07
In total, there were 3121, and 1020 were left at the end.
Reply #32017-03-07
Calculated with Excel; big head. . . .
Reply #42017-03-07
This post was last edited by a senior beginner in design on 2017-3-7 at 16:32. I just searched on Baidu and found the source; these are the mathematicians involved. In 1979, Nobel Prize winner Professor Tsung-Dao Lee gave a lecture at the University of Science and Technology of China. He posed such an arithmetic problem to the students in the advanced class: Five monkeys found a pile of peaches by the sea and decided to divide them equally the next day. Early the next morning, the first monkey arrived first. It couldn’t divide the peaches evenly, so it threw one into the sea, after which the remaining peaches could be divided into 5 equal parts. It took its share and left. The second, third, fourth, and fifth monkeys encountered the same problem and used the same method, throwing one peach each so that the remaining peaches could be divided into 5 equal parts. What is the minimum number of peaches in this pile? It is said that none of the students was able to solve it on the spot.
Reply #52017-03-07
The fact that you can calculate this proves once and for all that the human brain is superior to the monkey brain
Reply #62017-03-07
Thanks to the powerful Office tools: lol
Reply #72017-03-07
I’m dizzy; **---All the answers are sensitive words**
Reply #82017-03-07
Because after passing the registered engineer exam, there are many people selling answer keys.

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