A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Student #3 then walks down the corridor and changed the status of all the lockers that are numbered with a multiple of 3. By the end of this scenario, 200 students will have walked down the corridor, in numerical order, with each student changing the status of those lockers that are numbered with a number that is a multiple of the student's number. At that point, which of the lockers are open? More importantly, why are these lockers open?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is an interesting question. (to help whoever actually comes up with the answer) I believe that the answer will involve the final students, using reverse logic. For instance, the 200th student will toggle the 200th locker only, the 199th student will toggle the 199th locker only. 200-101 operate in this way. The 100th student will toggle both the 100th locker and 200th locker. The 99-67th students will operate in this way. I'm not sure of how to deal with 1-66 with a method simpler than literally keeping track (not how this problem was meant to be solved) but the last 133 or so students are relatively easy to figure out toggling.

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well, since some people shut lockers and some open them and some only toggle one .......

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait, where is this question from?

  4. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.