What are these type of problems called?

by shadowboy13
Tags: called, type
shadowboy13 is offline
Sep15-13, 04:52 PM
P: 17
I did a problem for my teacher (literally speaking) that he was having trouble remembering, and it was relatively weird for a math problem.

It said: "If i divided my favorite number by 5, i get a remainder of 4. If i divide by 6 i get a remainder of 4; lastly if i divide my favorite number by 13, i get a remainder of 11, what is my smallest favorite number?

First of, it's 154, but what is the purpose of this type of problem? He said he had gotten it from youtube, but i don't even know where to look for it, to find it's purpose atleast.

Can anyone help me? I'm kinda curious as to these type of problems.
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h6ss is offline
Sep15-13, 04:58 PM
P: 40
Arithmetic riddle?
D H is online now
Sep15-13, 05:11 PM
P: 14,476
Diophantine problems involve finding solutions to a set of equations where the domain is restricted to the integers.

johnqwertyful is offline
Sep15-13, 06:05 PM
P: 308

What are these type of problems called?

Chinese Remainder Theorem problems?
pwsnafu is offline
Sep15-13, 06:31 PM
Sci Advisor
P: 779
As johnqwertyful says, that's a classic CRT problem. The Wikipedia article also has a list of applications.

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