suppose the time is now 2:00 on a 12 hour clock . if the clock runs continously what time will it show 1,000 hours from now?

Question

Suppose the time is now 2:00 on a 1 hour clock . If the clock runs continuously what time will it show 1,000 hours from now?

Answer 1

This is a problem in modular arithmetic divide 1000/12 and find the remainder. Then add this remainder to 2:00 to see what the new time says. Just trying to do it in my head (so you should check it out) The remainder is 4. So 2+4 = 6 is the new time. The question now is it AM or PM? They don't give enough information.