Bulbs 100

In a room there are 100 bulbs numbered from 1 to 100.

Initially , all of them are OFF.

A naughty boy Rohit started playing with the bulbs.

First he switched on all the bulbs.

Then he switched ON or OFF the bulbs, which are multiple of 2.

That means, if it is on he switched it off and vice versa.

Then he meddled with the switches that are multiples of 3.

That is, he switched the 3rd, 6th, 9th, 12th …. bulbs on if they were off and off if they were on.

He did the same for switches that are multiples of 4, 5, ….. 100.

Can you find which bulbs will be glowing finally?



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