## Boxes and Cards Problem

For students of class 9-10 (age 14-16)
Tasnood
Posts: 73
Joined: Tue Jan 06, 2015 1:46 pm

### Boxes and Cards Problem

There are \$ 7\$ boxes arranged in a row and numbered \$1\$ through \$7\$. You have a stack of \$2015\$ cards, which you place one by one in the boxes. The first card is placed in box \$\fbox {1}\$ , the second in box \$\fbox{2}\$ , and so forth up to the seventh card which is placed in box \$\fbox{7}\$ . You then start working back in the other direction, placing the eighth card in box \$\fbox{6}\$ , the ninth in box \$\fbox{5}\$ , up to the thirteenth card being placed in box \$\fbox{1}\$ . The fourteenth card is then placed in box \$\fbox{2}\$ , and this continues until every card is distributed. What box will the last card be placed in?

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: Boxes and Cards Problem

Solution
I think it is correct if I have got the question correctly.It is an interesting problem.

Mathlomaniac
Posts: 17
Joined: Wed Mar 07, 2018 11:35 pm
Contact:

### Re: Boxes and Cards Problem

samiul_samin wrote:
Sat Mar 03, 2018 12:25 am