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Losing A New York Bet

Hint:
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.
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Stocking And The Shoe Riddle

Hint:
"Well, I'll be darned."
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Wig And The Head Riddle

Hint:
I've got you covered.
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BDay Bash Riddle

Hint:
23rd.

The easiest way to find out without engaging in any formula would be to simply add them:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 = 276
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Standing, Sitting, Jumping And Walking

Hint:
A kangaroo.
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Having And Sharing Riddle

Hint:
A secret.
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The Danube To The Rio Grande Riddle

Hint:
Rivers
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A Dime And A Dollar Riddle

Hint:
A nickel. The dog cost $ 1.05.
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The English Channel Riddle

Hint:
Turn the TV on and switch it to a channel originating in England.
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Cooking And Eating Riddle

Hint:
An ear of corn.
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Seeing Nothing Riddle

Hint:
Darkness riddle
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Worth Having Riddle

Hint:
Nothing
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Construction Site Murder Riddle

Hint:
The evidence against him was irrefutable. It was found that the workman, when he died, was hammered.
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Playing And Praying Riddle

Hint:
The days of the week. Monday, Tuesday, Wednesday, Thursday, Friday; the work days. Saturday; play. Sunday; pray
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Six Foot Fishing Pole Riddle

Hint:
He bought a 6 box and put the pole inside diagonally.
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