N is a four-digit positive integer. Dividing N by 9, the remainder is 5. Dividing n by 7, the remainder is 3. Dividing n by 5, the remainder is 1. What is the smallest possible value of N?

You don't understand the answer given under your first post? if so, why?

The smallest possible value of N is 1561.

NO! THAT IS NOT TRUE !!!! I gave you the answer of 1,256 because:

1256 mod 9 = 5

1256 mod 7 = 3

1256 mod 5 = 1

Your answer of 1561 DOES NOT balance the congruences, because:

1561 mod 9 =4 NOT 5

1561 mod 7 =0 NOT 3

1561 mod 5 = 1

So sorry, my answer was wrong. Great job!