### Boxes and Cards Problem

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**Fri Mar 02, 2018 11:05 pm**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?