I’m reposting this great puzzle, found originally at The Math Less Traveled blog. Enjoy!

There are five true and five false statements about the secret number. Each pair of statements contains one true and one false statement. Find the trues, find the falses, and find the number.

1a. I have 2 digits

1b. I am even

2a. I contain a “7”

2b. I am prime

3a. I am the product of two consecutive odd integers

3b. I am one more than a perfect square

4a. I am divisible by 11

4b. I am one more than a perfect cube

5a. I am a perfect square

5b. I have 3 digits

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Actually, I got it from JD2718, who made it up himself.

Thanks! Kudos to JD2718 for a great puzzle.