100 animals of 4 types
If you select 85 there are guaranteed to be all 4 types
How many do you need to select to be guaranteed at least 3 different kinds?
So I say 69 is the answer.
It's worth noting that the problem as stated doesn't say you have to select
85 to be guaranteed to have one of each type, just that if you do select 85 you
are guaranteed to ...