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Maths Puzzle
There are 100 lockers in a row that are all closed at the beginning. There are 100 students. Each student makes a pass. The first student opens the every locker door. The second student toggles (if the door is closed, you open it, if its open, you close it) every 2nd locker door (#2, #4, #6 etc) starting with locker #2. The third student toggles every 3rd locker door starting with locker #3. The nth student toggles every nth locker door starting with nth locker.
Which lockers will be open at the end?
Read Solution (Total 5)
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- Lockers #1, #4, #9, #16, #25, #36, #49, #64, #81 & #100 will be open at the end.
- 14 years agoHelpfull: Yes(2) No(1)
- 1,4,9,16,25,36,49,64,81,100 are the lockers which will be open @ the end ....
- 14 years agoHelpfull: Yes(1) No(0)
- 10. All perfect squared numbered lockers 1,4,9,16,25,36,49,64,81,100
- 14 years agoHelpfull: Yes(1) No(0)
- 1,4,9,16,25,36,49,64,81,100
- 14 years agoHelpfull: Yes(1) No(0)
- only first door will be opened at the end
- 14 years agoHelpfull: Yes(0) No(5)
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