The domain is from 1 to 50 inclusive. What's the number?
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For each number from 1 to 50 table the answers to the 4 questions and find the 2 numbers that have the same unique answers. Question # 5 will then identify the correct one.
for example:
1: n,n,n,n
2: n,y,n,n
3: n,n,y,n
4: n,y,n,n
5: n,n,n,y
etc. The only numbers that have the n,n,n,y pattern are 5 and 25. Each of the other numbers shares a pattern with more than one other number.
A computer program would facilitate the initial sorting.