How do I solve this math problem?
1. There are 100 lockers in the long hall of Old Curmudgeon Elementary. In
Preparation for the beginning of school, the janitor cleans the lockers and
Paints fresh numbers on the locker doors. The lockers are numbered from 1
To 100. When the 100 students return from summer vacation, they decide to
Celebrate the beginning of the school year by working off some energy.
a. Student 1 opens every locker.
b. Student 2 closes every other locker.
c. Student 3 reverses the status of every third locker. Namely he opens
The closed lockers and closes the opened lockers.
d. Student 4 reverses the status of every fourth locker as above. And so
On...
Try to determine the answer to the question without conducting the experiment.
a) Which locker doors are open when all 100 students have “reversed” the
Locker door positions?