On the first day of a school , the Principal announced a strange opening ceremony. There were 1000 students and 1000 lockers in the school. The principal asked the first student to open all lockers. He then asks the second student to close all lockers which are multiples of 2 . Then the third student to, close all lockers if it is open and open if it is closed, which are multiples of 3 and so on till the 1000 th student.
How many lockers would remain open after the 1000 th student has finished the job ?
Answer :
How many lockers would remain open after the 1000 th student has finished the job ?
Answer :
Solution : 31
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