Latest CTS Aptitude Question SOLUTION: There are 1000 doors that are of the open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes the doors in th

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(#M40007370) CTS HR Interview question Analytical problem Keep an EYE

There are 1000 doors that are of the open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes the doors in the multiples of 1 i.e., he opens and closes all the doors. when the second goes he opens and closes the doors 2, 4 6 8 respectively. Similarly when the third one goes he does this for 3 6 9 12 15th doors respectively. Find number of doors that are open at last.

Solution

168 doors will be open at the end. if in initial condition all doors are open

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Asked In CTS (12 years ago)

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