The new middle school has just been comleted. There are 1000 lockers in the school and they have benn numbered from 1 to 1000. During recess, the students decide to try an experiment. When recess is over, each student will walk into the school one at a time. The first student will open all the locker doors. The second student will close all the locker doors with even numbers. The third student will change all the locker doors with numbers that are multiples of three. (Change means closing loackers that are open and opening loackers that are close.) The fourth student will change the position of all loacker doors numbered with multiples of four; the fifth student will change the position of the lockers that are multiples of fuve, and so on. After 1000 students have entered the school, which locker doors will be open?
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CaBoo
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