Have a look at this problem. The first 3 people to solve this problem will get the class sofa for one month, after the holidays. Good luck!
There are 100 lockers in our hallways. Each August, the school caretakers add a fresh coat of paint to the lockers and replace the broken nameplates. The lockers are numbered 1 to 100.There is a silly tradition at our school. We celebrate the first day of school with this routine. The first student runs down the hall opening every locker. The second student closes every second locker, beginning with locker number 2. The third student reverses the position of every third locker, beginning with locker number 3. The fourth student changes the position of every fourth locker, beginning with locker number 4. This continues until the 100th student goes, changing the position of the 100th locker.At the end of this ritual, which locker doors are open?
This might help.
There are 100 lockers in our hallways. Each August, the school caretakers add a fresh coat of paint to the lockers and replace the broken nameplates. The lockers are numbered 1 to 100.There is a silly tradition at our school. We celebrate the first day of school with this routine. The first student runs down the hall opening every locker. The second student closes every second locker, beginning with locker number 2. The third student reverses the position of every third locker, beginning with locker number 3. The fourth student changes the position of every fourth locker, beginning with locker number 4. This continues until the 100th student goes, changing the position of the 100th locker.At the end of this ritual, which locker doors are open?
This might help.