To be directed to the list of open positions, you need to solve the following problem...
You have 100 light bulbs in a room numbered 1 trough 100. Each light bulb has a switch and they are all off.
You go through the following procedure.
First, you flip every switch, turning every light bulb on.
Second, you flip every second switch, starting at number 2, then 4, all the way to 100.
Third, you flip every third switch, starting at number 3, then 6, etc.
You continue doing this with every 4th switch, every 5th switch, etc.. Your last step is to flip every 100th switch.
How many light bulbs are turned on at the end?