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!