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There is a school with 100 students and correspondingly 100 lockers, all of which start off closed. The first student opens every locker and the second students closes every other locker starting with the second (2,4,6...etc..) . The 3rd student changes the state of the lockers numbered (3,6,9.. etc.). The fourth student changes the state of the lockers numbered (4,8,12.. etc..).. This continues until all the 100 students passes along the lockers.. when all the 100 student is done which locker is closed and which locker is in open condition?

Answers were Sorted based on User's Feedback



There is a school with 100 students and correspondingly 100 lockers, all of which start off closed. ..

Answer / dhinesh

The perfect squares' lockers are open => 1,4,9,16,25,36,49,64,81,100. and others are closed...

Is This Answer Correct ?    77 Yes 2 No

There is a school with 100 students and correspondingly 100 lockers, all of which start off closed. ..

Answer / sangavi

1,4,9,16,25,36,49,64,81,100. these lockers only be opened

Is This Answer Correct ?    14 Yes 0 No

There is a school with 100 students and correspondingly 100 lockers, all of which start off closed. ..

Answer / serverx

locker 1

Is This Answer Correct ?    28 Yes 17 No

There is a school with 100 students and correspondingly 100 lockers, all of which start off closed. ..

Answer / preethy

all the perfect squares

Is This Answer Correct ?    3 Yes 0 No

There is a school with 100 students and correspondingly 100 lockers, all of which start off closed. ..

Answer / meenakshi chidambaram

all the prime numbers will be locked. and all other numbers will be open

Is This Answer Correct ?    0 Yes 7 No

There is a school with 100 students and correspondingly 100 lockers, all of which start off closed. ..

Answer / kiruthika.s

All the odd number lockers are opened,all the even number lockers are closed

Is This Answer Correct ?    2 Yes 13 No

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