The Learnmore School has 1,000 lockers. It also has 1,000 students. Mrs. Jones the school's principal, challenged the schools 1000 fine students to answer the following question. If all students were lined up and they did the following.
Student 1: Runs by all 1,000 lockers and opens each locker.
Student 2: Runs by all 1,000 lockers, but only closes every second locker
Student 3: Runs by all 1,000 lockers, but only changes the state of every third locker. (if the locker is open he/she closes it and vice versa)
Student 4: Runs by all 1,000 lockers, but only changes the state of every fourth locker.
Student 5: Runs by all 1,000 lockers, but only changes the state of every fifth locker.
This continues until all 1,000 students have had their turn.
Which lockers will be open after all 1,000 students have had their turn?
2007-05-08 14:17:06 · 16 answers · asked by xoex0hxo 2 in Entertainment & Music ➔ Jokes & Riddles
ok there are 31 lockers open.
the number sequence is the pattern of squares.
the lockers open are as follows:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900, 961.
and im not a nerd, really, i just know how to do this. im not a math major either. :)
2007-05-08 19:30:01 · answer #1 · answered by shesonly19 2 · 0⤊ 0⤋
All 1000
2007-05-08 21:23:15 · answer #2 · answered by scott m 4 · 0⤊ 0⤋
only 1
2007-05-08 21:24:36 · answer #3 · answered by Anonymous · 0⤊ 0⤋
aww c'mon this one is evil
to truly get the answer it requires paper and pencil and factorials and infinite series and shizz
and i dont have the time lol
I'm going to guess only the first locker
although if i wasn't lazy i could figure out the real answer. This is just a hunch hope it's right!
2007-05-08 22:03:33 · answer #4 · answered by femmi 2 · 0⤊ 0⤋
for OPEN lockers
1st: 1
2nd:1
3rd:1
4th:1
5th:2
6th:2
7th:2
8th:2
9th:3
and so on...
so 1000th would be 1000/4 = 250 open lockers XD
whew took me a couple o minutes to do that up till 20 b4 i found the pattern
2007-05-08 22:03:44 · answer #5 · answered by caroline 5 · 0⤊ 0⤋
Only the first locker will still be open
2007-05-08 21:23:10 · answer #6 · answered by Mrs. Lucky 5 · 1⤊ 0⤋
#1
2007-05-08 21:33:48 · answer #7 · answered by Bearfriend 2 · 0⤊ 0⤋
umm my guess is the 1st one then the 100th, 200th 300th 400th and so on to the 1000th one. Geeeze I hope you give the answer so this ones driving me insane LOL
2007-05-08 21:43:26 · answer #8 · answered by mirclbabe 2 · 0⤊ 0⤋
first one
2007-05-08 21:29:56 · answer #9 · answered by joethedog 3 · 0⤊ 0⤋
Perhaps #667. Sorry...that was the first # to pop into my head.
2007-05-08 21:23:14 · answer #10 · answered by BeautifulGirl 2 · 0⤊ 0⤋