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I brought it home with me because I couldn't find it. What is it?

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I went into the woods and got it. I sat down to seek it. I brought it home with me because I couldn't find it. What is it?

posted Dec 22, 2014 by Vrije Mani Upadhyay

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I went to the woods and got it; I sat me down to look for it; and brought it home because I couldn't find it.
What could it be?

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You went into the forest and got me,
you sat down to find me,
you went home with me because you couldn't find me.

What am I?

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Last winter I found myself locked out of my house because I couldn't remember the 5-digit code to open the garage door. I used the following facts to get inside.
1. The second and third digits add up to 9.
2. The first digit is equal to the second digit cubed.
3. The sum of the third and fifth digits is the smallest number with exactly five divisors.
4. The fourth digit is equal to 6 times the second-to-last digit.
5. None of the digits repeat.
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A number with an interesting property:

When I divide it by 2, the remainder is 1.
When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.

It's not a small number, but it's not really big, either.
When I looked for a smaller number with this property I couldn't find one.

Can you find it?

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When you see me, you also see you
Careful because I may break in two
It would be correct to say this does reflect
Breaking me incurs a seven year hex!
What am I?

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