Question 9
The integers greater than one are arranged in five columns as follows:
$2$ $3$ $4$ $5$ $9$ $8$ $7$ $6$ $10$ $11$ $12$ $13$ $17$ $16$ $15$ $14$ $\vdots$ $\vdots$ $\vdots$ $\vdots$
(Four consecutive integers appear in each row; in the first, third and other odd numbered rows, the integers appear in the last four columns and increase from left to right; in the second, fourth and other even numbered rows, the integers appear in the first four columns and increase from right to left.)
In which column will the number $1{,}000$ fall?
$2$ $3$ $4$ $5$ $9$ $8$ $7$ $6$ $10$ $11$ $12$ $13$ $17$ $16$ $15$ $14$ $\vdots$ $\vdots$ $\vdots$ $\vdots$
(Four consecutive integers appear in each row; in the first, third and other odd numbered rows, the integers appear in the last four columns and increase from left to right; in the second, fourth and other even numbered rows, the integers appear in the first four columns and increase from right to left.)
In which column will the number $1{,}000$ fall?