Math CentralQuandaries & Queries


Question from khodr, a parent:

find the smallest number (>3) that , when divided by 6 , 8 , 15 , and 18 , gives a remainder of 3.

We'll use a simpler problem of the same type for an example. Find the smallest number (>1) that when divided by 4 or by 6 gives the remainder 1.

First experiment. Test every number INCLUDING 1 from (say) 1 to 30 to find out which ones work. (Yes, they said not to use 1. So don't tell them you did! Find out why they said not to.)

Do you see a pattern? (Note that 13 is one answer, so it's not the very simplest pattern that might occur to you.

Good Hunting!

About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS