Brain Teaser #4?

  • Thread starter MasterBlaster
  • Start date

MasterBlaster

Brain Teaser #4???????????

What is the explanation. It seems totally incorrect.

If the son is going to stay 123 weeks - and each week he HAS TO break off new links.

Then he MUST break off something each of the 123 weeks.

Explain the question......
 

MasterBlaster

See, no one knows the answer becaue it's wrong!!
 

Matt

The minimum number of cuts needed to be made is 4 for a chain with 89 links.
If the links are numbered serially from 1 to 89, then the cuts would be made on the following links:
6, 17, 38, and 79.

This would result in 4 one-link pieces, one 5-link piece, one 10-link piece, one 20-link piece, one 40-link piece, and one 10 piece.

To gain a better understandstanding, consider the scenario in the first few weeks as illustrated in the table below.

Weeks: Gold Links Given:
1 1
2 1 + 1
3 1 + 1 + 1
4 1 + 1 + 1 + 1
5 5
6 5 + 1
7 5 + 1 + 1
8 5 + 1 + 1 + 1
9 5 + 1 + 1 + 1 + 1
10 10
11 10 + 1
12 10 + 1


The table above indicates that:
at the end of the fifth week, the 5-link piece is given and the 4 one-link pieces are taken back;
at the end of the tenth week, the 10-link piece is given and the 4 one-link pieces as well as the 5-link piece are taken back.
 

Matt

Edit: 12 - 10 + 1 + 1
 

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