Posted by **arianna** on Sunday, November 1, 2009 at 2:51pm.

A new high school has just been completed. There are 1,000 lockers in the long hall of the school and they have been numbered from 1 to 1,000. During lunch, the 1,000 students decide to try an experiment.

- The first student, student 1, runs down the row of lockers and opens every door.

- Student 2 closes the doors of lockers 2, 4, 6, 8 and so on to the end of the line.

- Student 3 changes the state of the doors of lockers 3, 6, 9, 12 and so on to the end of the line. (the student opens the door if it is closed and closes the door if it is opened)

- Studnet 4 changes the state of the doors 4, 8, 12, 16 and so on. Student 5 changes the state of every fifth door, student 6 changes the state of every sixth, and so on until all 1000 students have had a turn.

When the students are finished, which lockers doors are open?

- 9th grade -
**bobpursley**, Sunday, November 1, 2009 at 4:35pm
There won't be a pattern. Take the factors of each number, include 1 and the number itself. Count the number of factors. This is the number of "state" flips. If it is even, the locker is closed. If it is odd, the locker is open.

- 9th grade -
**david**, Friday, January 1, 2010 at 1:33pm
@bobpursley

so you mean we have to do a factor tree for 1000 numbers?!

- 9th grade -
**hArnoZlLt**, Tuesday, May 8, 2012 at 8:50pm
Yeah, that's the tkciet, sir or ma'am

- 9th grade -
**Anonymous**, Sunday, February 17, 2013 at 7:23am
Side of a triangle are in the ratio 2:3:4 if shortest side is 45mm find the length of the the other sides

## Answer This Question

## Related Questions

- Business math - The clarkdell school system has three schools. School #1 has 500...
- Math - Reasoning Word Problem: A school's lockers are numbered 1-100. One ...
- Math - A new school has exactly 1,000 lockers and 1,000 students. the student ...
- Math Word Problem(PLEASE HELP NOW) - Reasoning Word Problem: A school's lockers ...
- Math - Would 72,060,964,765 look like the following in it's expanded form? 7X 10...
- Accounts - From the following Balance Sheets of Sriramco, prepare (a) Statement ...
- English II - How does the author support her view that the lunch period at ...
- maths - A contractor supplied some items to a school. The contractor's bill is ...
- geometry - At Millock Highschool, there are 1,000 lockers and 1,000 students. ...
- healthcare fiancare - HINT: 6% X $1,000,000 – {20% X ($1,000,000 – (6% X $1,000,...

More Related Questions