What is the smallest number which leaves a remainder:
9 when divided by 10;
8 when divided by 9;
7 when divided by 8;
6 when divided by 7;
5 when divided by 6;
4 when divided by 5;
3 when divided by 4;
2 when divided by 3;
1 when divided by 2 ?

[ In other words: Find the Least number which when divided by 'N' leaves a remainder '(N-1)', for N = 1,2,3,4,........,9,10].

Although the text does not specify POSITIVE  number, none of the solvers considered negative solutions as well.

Interpreting the least as the smallest absolute value the solution is

N= -1   , ONE LESS THAN THE SMALLEST NUMBER DIVISIBLE BY

1,2,3,4,5,...10, ...

strange number ?    stranger than 2519!

Posted by Ady TZIDON on 2016-09-30 22:55:28