List all the numbers below 2010 having all the following features:
1. n-1 is a multiple of 3.
2. n^2-1 is a multiple of 8.
3. n^3-1 is a multiple of 10.
If you arrange this list in an ascending order, what number will be in the 55th place?
(In reply to solution
I considered, but decided not to include N=1 on my list. Hence 1621 was 54th of my list. Of course the left hand sides would all be zero, in that case, and hence divisible by anything.