What are these type of problems called?

  • Context: High School 
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Discussion Overview

The discussion revolves around identifying the type of mathematical problem presented, which involves finding a number based on specific remainder conditions when divided by different integers. The scope includes conceptual understanding and classification of such problems.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant describes a specific problem involving remainders and seeks to understand its classification and purpose.
  • Another participant suggests it may be an "arithmetic riddle."
  • A different participant proposes that it relates to Diophantine problems, which focus on integer solutions to equations.
  • Another suggestion is that it pertains to Chinese Remainder Theorem (CRT) problems.
  • A later reply confirms the problem as a classic CRT problem and references a Wikipedia article for further applications.

Areas of Agreement / Disagreement

Participants present multiple competing views regarding the classification of the problem, with no consensus on a single term or definition.

Contextual Notes

There are limitations in the discussion regarding the definitions of the terms proposed and the specific characteristics that distinguish these types of problems.

Who May Find This Useful

Individuals interested in mathematical problem classification, particularly those exploring concepts related to remainders and integer solutions.

shadowboy13
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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.
 
Mathematics news on Phys.org
Arithmetic riddle?
 
Diophantine problems involve finding solutions to a set of equations where the domain is restricted to the integers.
 
Chinese Remainder Theorem problems?
 
As johnqwertyful says, that's a classic CRT problem. The Wikipedia article also has a list of applications.
 

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