What's the Number?

Number Theory Level pending

The domain is from 1 to 50 inclusive. What's the number?


The answer is 5.

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1 solution

Guiseppi Butel
Oct 30, 2014

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.

I wonder why this was assigned a reward of 10 points.

Guiseppi Butel - 6 years, 7 months ago

Log in to reply

I think that a problem is initially assigned 10 points if the asker does not specify an initial level when posting their question. If an initial level is specified, then the starting "reward" is set at 100 points, which is then adjusted (by some mysterious algorithm) after enough people have attempted/solved the problem.

Brian Charlesworth - 6 years, 7 months ago

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