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Question #1

20 students have 20 lockers. 

Student #1 opens every locker.
Student #2 starts with the second locker and closes every other locker.

Student #3 starts with the third locker and opens the locker if it is closed or closes the locker if it is open for every third locker.

Student #4 starts with the fourth locker and opens the locker if it is closed or closes the locker if it is open for every fourth locker.

This process continues until all 20 students have passed through lockers

open locker denotes an open locker
closed locker denotes a closed locker 

Student

Locker


1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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Select all lockers that were touched by two students

  Locker 2

  Locker 4

  Locker 7

  Locker 11

  Locker 15

  Locker 19


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