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].

(In reply to out of the box by Ady TZIDON)

Yes! With the problem text failing to specify  positive integers, this is  one of the perfectly valid solutions!!

Edited on October 12, 2022, 10:35 am

Posted by K Sengupta on 2022-10-12 10:34:46