Question

find the least number which is exactly divisible by 59 when 1000 is added to it

Answer 1

Let us divide 1000 by 59. The remainder is 56.

So the greatest number less than 1000 which is divisible by 59 is 1000–56=944. The next multiple of 59 will be 944+59=1003.

So the answer to your question is 3. If we add 1000 to ‘3’ then the answer will be 1003 which is exactly divisible by 59.