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Q3) There are 100 doors in a row, all doors are initially closed. A person walks through all doors multiple times and toggle (if open then close, if close then open) them in following way: In first walk, the person toggles every door In second walk, the person toggles every second door, i.e., 2nd, 4th, 6th, 8th, … In third walk, the person toggles every third door, i.e. 3rd, 6th, 9th, … ……… ………. In 100th walk, the person toggles 100th door. Which doors are open in the end?
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Reporting Analyst

Interviewed at EXL Service

3.5
Aug 29, 2017

Q3) There are 100 doors in a row, all doors are initially closed. A person walks through all doors multiple times and toggle (if open then close, if close then open) them in following way: In first walk, the person toggles every door In second walk, the person toggles every second door, i.e., 2nd, 4th, 6th, 8th, … In third walk, the person toggles every third door, i.e. 3rd, 6th, 9th, … ……… ………. In 100th walk, the person toggles 100th door. Which doors are open in the end?

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