Riddle: You have an 8 by 8 chess board that has two corner squares diagonal from each other removed. Is there any way to place 31 dominoes of size 2x1 to cover the remaining 62 spaces?
Answer: No. When you remove the two diagonal spaces from the chess board they are both black or both white, making it so that there are two more of the other color. Each domino would cover 1 black and 1 white space. So 31 of them would have to cover 31 white spaces and 31 black spaces but with the corners removed there are 30 of one color and 32 of the other.
Riddle: What's the angle between minute hand and hour hand at a quarter past three?
Answer: 7.5 degrees.
The minute hand is pointing directly at the '3'. The hour hand is 1/4 of the way between the '3' and '4'. Since there are 12 numbers the angle between each number is 30 degrees. So the angle between the hands are 30 degrees * 1/4 = 7.5 degrees.
Riddle: A man challenges you to a coin flipping contest. One of you must flip heads, then tails, then heads. The other must flip heads, then tails, then tails. Whoever succeeds in fewer flips is the winner.
Which should you choose?
Answer: You should pick heads, tails, and tails. Both of them begin with heads then tails, giving you an equal chance of getting the first two. But if you have tails for the final flip and don't get it you are still 1/3 of the way through the sequence. If you have heads for the final flip and miss it you must start all over trying to get the sequence.
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