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One hotel has 100 rooms. Lights are all off. First person goes in turn the switch of all rooms, second one goes in and turn the switch of rooms of multiple of 2(room number 2.4.6.8.etc), third one goes in and turn the switch of rooms of multiple of 3(room number 3,6,9,12,etc), and the process went on until the 100th person goes in turn the switch of only room 100. After that please tell whether the light of room 64 is on or off.
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Quantitative Management Associate

Interviewed at Bank of America

3.9★
Nov 3, 2015

One hotel has 100 rooms. Lights are all off. First person goes in turn the switch of all rooms, second one goes in and turn the switch of rooms of multiple of 2(room number 2.4.6.8.etc), third one goes in and turn the switch of rooms of multiple of 3(room number 3,6,9,12,etc), and the process went on until the 100th person goes in turn the switch of only room 100. After that please tell whether the light of room 64 is on or off.

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