ONE VEGETABLE NAME IF YO RIDD RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

Celery Did you answer this riddle correctly?
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An onion Did you answer this riddle correctly?
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Because the potatoes have eyes and the corn has ears! Did you answer this riddle correctly?
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Catch up! Did you answer this riddle correctly?
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Determine the known facts. Also notice that the passengers are noted with the title Mr., where as the brakeman, engineer and fireman are identified by their last names only. 1. Mr Brown Lives in New York City 2. The brakeman lives midway between NY and Chicago 3. Mr. Jones earns exactly $20K per year 4. Smith beat the fireman at their last game of golf. 5. The brakeman's next-door neighbor, who is a passenger, earns exactly three times the brakeman's salary. 6. The passenger who lives in Chicago has the same name as the brakeman. According to #1 and #2, the brakeman's neighbor cannot be Mr. Brown. According to #5, the brakeman's neighbor also cannot be Mr. Jones, because $20,000 is not evenly divisible by three. This leaves Mr. Smith as the next door neighbor to the brakeman. Mr. Smith lives halfway between New York and Chicago (#2) as does the brakeman. Since Mr. Brown lives in New York, by process of elimination, it is now known that Mr. Jones lives in Chicago. According to statement #6, this means that the brakeman is named Jones. According to statement #4, the fireman cannot be Smith, so the fireman must be must be Brown, which leaves Smith as the engineer. Did you answer this riddle correctly?
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Catch up! Did you answer this riddle correctly?
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It's green! Did you answer this riddle correctly?
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I am Artichoke. Did you answer this riddle correctly?
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I am a Potato Did you answer this riddle correctly?
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A mushroom! Did you answer this riddle correctly?
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An ear of corn. Did you answer this riddle correctly?
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P3 can only be certain of his cap if 1 & 2 are both white. Since he is not certain then 1 & 2 must be either white/red or red/red. 2 knows this but the only combination that he will be able to know the colour of his own cap is if he sees that 1 is wearing a white cap. 1 knows this but as 2 remains uncertain then 1 must be wearing a red cap. Did you answer this riddle correctly?
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New York City Did you answer this riddle correctly?
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New York City Did you answer this riddle correctly?
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This problem can be best solved using the pigeonhole principle.

The argument will go like this:
Assume that all the non-bald people in NYC have different number of hairs on their head. The population is about 9 million and let us assume that there are 8 million among them who are not bald.

Now, those 8 million people need to have different number of hairs. On an average, people have just 100, 000 hairs on their head. If we keep on assuming that there is someone with just one hair, someone with two, someone with three and so on, there will be 7, 900, 00 other people left who will have more than 100, 000 hairs on their head and need different number of hairs.

Now, as per this assumption, if we keep increasing one hair for each person, to make everybody hair different in numbers, we will come across someone with 8, 000, 000 hairs. But that is practically impossible (even 1, 000, 000 is impossible). Thus there must be two people who are having same number of hairs. Did you answer this riddle correctly?
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