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Marrying The Princess Riddle

Hint: You know that your competitors are very intelligent and want nothing more than to marry the princess. You also know that the king is a man of his word, and he has said that the test is a fair test of intelligence and bravery.
Answer: White.

The king would not select two white hats and one black hat. This would mean two princes would see one black hat and one white hat. You would be at a disadvantage if you were the only prince wearing a black hat.

If you were wearing the black hat, it would not take long for one of the other princes to deduce he was wearing a white hat.

If an intelligent prince saw a white hat and a black hat, he would eventually realize that the king would never select two black hats and one white hat. Any prince seeing two black hats would instantly know he was wearing a white hat. Therefore if a prince can see one black hat, he can work out he is wearing white.

Therefore the only fair test is for all three princes to be wearing white hats. After waiting some time just to be sure, you can safely assert you are wearing a white hat.
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3 Princesses Riddle

Hint:
He called the princess and told her to walk to him and to touch his hand.
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The Danube To The Rio Grande Riddle

Hint:
Rivers
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The Heist Riddle

Hint:
Vin Diesel told him to use one nut from each of the other wheels.
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Captured By The Riddler

Hint:
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.
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On A Hiking Trip Riddle

Hint:
You can see that they decided to form a pentagonal formation.
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Leaving Eden Riddle

Hint:
She fell for the Big Apple
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Gym Class Riddle

Hint:
Six. Explanation: 1. Blue Red
2. Blue Yellow
3. Blue Orange
4. Red Yellow
5. Red Orange
6. Yellow Orange
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Light Years Away Riddle

Hint:
Stars
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Up In The Sky Riddle

Hint:
The sun
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In A Dark Room Riddle

Hint:
The Match
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A Farmers Three Sons

Hint:
They purchased 100 animals for 100 dollars.
$10 spent to purchase 1 goat.
$45 spent to purchase 9 hens.
$45 spent to purchase 90 chickens.
Totally they spent $100 and purchased 100 animals.
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Little Johnny's Cats Riddle

Hint:
He already has one cat. 6 + 1 = 7.
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Two Companions Riddle

Hint:
"World War I" was named after after "World War II"
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The Man At The Door

Hint:
The stranger said that he thought the room was his. If so, he must have had the keys to the room and thus he must not have knocked.
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