Mad TeacherNumber Theory Level 2
A mad teacher had 100 students in his class. Once he took them to the playground and brought 100 boxes which could be opened and closed. When he brought the boxes, all of them were closed. He ordered the 1st boy to open all the boxes & it was done, Then he ordered the 2nd to close the 2nd, 4th, 6th, 8th..... numbered boxes. Next he told the 3rd boy to open(if closed box found)/close(if opened box found) the 3rd,6th,9th........boxes. Thus, when all of the boys finished, how many boxes will remain opened?