I am Double Myself

I am a prime number.
The double of myself is equal to the square of me.

which number am I?




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I have a head like a cat and feet like a cat, but I am not a cat. What am I?

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This was asked in an interview with Coa-Cola.

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John was visiting his friend Jacob. He found out that his friend's wife had just killed a burglar in self-defense.
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There are five people. One of them shot and killed one of the other five.
We know following clues:
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2. Mike consider being a farmer before he moved to the city.
3. Jeff is a top notch computer consultant and wants to install Ben new computer next week.
4. The murderer had his leg amputated last month.
5. Ben met Jack for the first time six months ago.
6. Jack has been in seclusion since the crime.
7. Dan used to drink heavily.
8. Ben and Jeff built their last computers together.
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Consider yourself to be a famous detective "Sherlock Homles", Can you find the killer?

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You’re out on the water and see a boat filled with people. You look away for a second and look back again, but this time you don’t see a single person on the boat. Why? Hint: The boat did not sink.

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It's a 7-letter word.
If we remove 1 letter from it, it remains the same.
If we remove 2 letters from it, it remains the same.
If we remove 3 letters from it, it remains the same.
If we remove all the letters from it, still it remains the same.
What is it?

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