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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 opened locker
closed locker denotes a closed locker 

Select the missing locker state in the following 6 selections

locker

student


1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
1   4.OA.4


















2   4.OA.4 4.OA.4

















3   4.OA.4
4.OA.4
















4   4.OA.4 4.OA.4
4.OA.4















5   4.OA.4















6   4.OA.4 4.OA.4 4.OA.4
4.OA.4












7   4.OA.4




4.OA.4











8   4.OA.4
4.OA.4


4.OA.4











9   4.OA.4





4.OA.4









10   4.OA.4 4.OA.4

4.OA.4



4.OA.4








11   4.OA.4








4.OA.4








12   4.OA.4 4.OA.4 4.OA.4
4.OA.4




4.OA.4







13   4.OA.4










4.OA.4






14   4.OA.4 4.OA.4



4.OA.4





4.OA.4





15   4.OA.4
4.OA.4








4.OA.4




16   4.OA.4 4.OA.4
4.OA.4


4.OA.4






4.OA.4



17   4.OA.4













4.OA.4


18   4.OA.4 4.OA.4 4.OA.4

4.OA.4

4.OA.4







4.OA.4

19  















4.OA.4
20   4.OA.4 4.OA.4
4.OA.4 4.OA.4



4.OA.4








4.OA.4


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