Robot task
100 empty boxes are in a straight line and are number from 1 to100 according to their positions there is a robot whose task is to put a ball in the box ,if it is empty or if it already has one then it takes the ball . the robot first visits the boxes whose number is a multiple of "1" then it visits multiples of "2" then 3,4,5,6,..........................upto multiples of 100.how many boxes will be empty after the whole task is finished ?
The answer is 90.
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1 solution
Perfect square nos. have odd no. of factors hence the robot will visit the boxes having square nos odd no of times which means that there will be ball in them .Hence there are 10 nos from 1 to 100 hence 10 boxes will have ball and others empty therefore 90 are empty.