That question gets asked a lot. When I was asked it in my interviews many years ago, I reasoned as follows: a singly-linked list is essentially a stack. Reversing a linked list is therefore a trivial operation on stacks:
newList = emptyList;
while(!oldList.IsEmpty())
newList.Push(oldList.Pop());
Now all you have to do is implement IsEmpty and Push and Pop, which are one or two lines tops.
I wrote that out in about twenty seconds and the interviewer seemed somewhat perplexed at that point. I think he was expecting me to take about twenty minutes to do about twenty seconds work, which has always seemed odd to me.