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This is a very interesting brain teaser that was asked in a google interview. This is one of my favorite interview question, i would recommend you to pause the video and try to solve it yourself. The Problem goes like this - Imagine there are 100 doors in a row, Initially all closed. I will walk through these 100 doors 100 times. In Each walk I will toggle some doors. Toggle means - Open if closed and closed if open. In first walk I will toggle every door. In second walk i will toggle every 2nd door. In third walk, I will toggle every 3rd door. In fourth Walk I will toggle every 4th door similarly for 5th, 6th and so on In 100th walk I will toggle only door number 100 So question for you is after 100 walks how many and which doors will be open. Lets see if you will be able to solve this Riddle.