Riddles. Lots of 'em. I'm bored. I like purple. Click here o I'll throw a cow at te =)

Riddle #1: I can run but not walk. Wherever I go, thought follows close behind. What am I?
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Riddle #2: Give me food, and I will live; give me water, and I will die. What am I? ---------------------------------------------------
Riddle #3: I go around the world, but remain in one corner. What am I?
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Riddle #4: The person who invented me didn't want me. The person who bough me doesn't need me. The person who uses me doesn't even know it. What am I?
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Riddle #5: Thrown off of the highest of buildings, I will not break. But put me in the ocean and I surely will. What am I? (Hint: 2 correct answers)
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Riddle #6: 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?
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Get all of these right and I'll become a fan of me and I will give te props! 1st person will get 7 props if they get both risposte to riddle 5 and all of the other risposte too, 6 if they get each one right. 2nd person will get 5 o 6. 3rd 4 o 5. The rest of te get one o two for all correct answers. Thanks for answering!!!x