You have a basket of infinite size (meaning it can hold an infinite number of objects). You also have an infinite number of balls, each with a different number on it, starting at 1 and going up (1, 2, 3, etc...). A genie suddenly appears and proposes a game that will take exactly one minute. The game is as follows: The genie will start timing 1 minute on his stopwatch. Where there is 1/2 a minute remaining in the game, he'll put balls 1, 2, and 3 into the basket. At the exact same moment, you will grab a ball out of the basket (which could be one of the balls he just put in, or any ball that is already in the basket) and throw it away. Then when 3/4 of the minute has passed, he'll put in balls 4, 5, and 6, and again, you'll take a ball out and throw it away. Similarly, at 7/8 of a minute, he'll put in balls 7, 8, and 9, and you'll take out and throw away one ball. Similarly, at 15/16 of a minute, he'll put in balls 10, 11, and 12, and you'll take out and throw away one ball. And so on....After the minute is up, the genie will have put in an infinite number of balls, and you'll have thrown away an infinite number of balls. Assume that you pull out a ball at the exact same time the genie puts in 3 balls, and that the amount of time this takes is infinitesimally small. You are allowed to choose each ball that you pull out as the game progresses (for example, you could choose to always pull out the ball that is divisible by 3, which would be 3, then 6, then 9, and so on...). You play the game, and after the minute is up, you note that there are an infinite number of balls in the basket. The next day you tell your friend about the game you played with the genie. "That's weird," your friend says. "I played the exact same game with the genie yesterday, except that at the end of my game there were 0 balls left in the basket." How is it possible that you could end up with these two different results?
79.60 %

## Number 7

How do you make the number 7 an even number without addition, subtraction, multiplication, or division?
Drop the "S".
79.60 %

## 24 from Spare Parts

Using only and all the numbers 3, 3, 7, 7, along with the arithmetic operations +,-,*, and /, can you come up with a calculation that gives the number 24? No decimal points allowed. [For example, to get the number 14, we could do 3 * (7 - (7 / 3))]
7 * ((3 / 7) + 3) = 24
79.34 %

## The missing dollar

Three people check into a hotel room. The bill is \$30 so they each pay \$10. After they go to the room, the hotel's cashier realizes that the bill should have only been \$25. So he gives \$5 to the bellhop and tells him to return the money to the guests. The bellhop notices that \$5 can't be split evenly between the three guests, so he keeps \$2 for himself and then gives the other \$3 to the guests. Now the guests, with their dollars back, have each paid \$9 for a total of \$27. And the bellhop has pocketed \$2. So there is \$27 + \$2 = \$29 accounted for. But the guests originally paid \$30. What happened to the other dollar?
This riddle is just an example of misdirection. It is actually nonsensical to add \$27 + \$2, because the \$27 that has been paid includes the \$2 the bellhop made. The correct math is to say that the guests paid \$27, and the bellhop took \$2, which, if given back to the guests, would bring them to their correct payment of \$27 - \$2 = \$25.
79.19 %

## Number 45

Can you write number 45 using only the number 4?
44+44/44
79.06 %

## Which number?

What number should appear next in this sequence? 1 5 12 34 92 252 ?
688. Add the two previous numbers and multiply by 2.
79.06 %

## An exclusive club

A man wanted to enter an exclusive club but did not know the password that was required. He waited by the door and listened. A club member knocked on the door and the doorman said, "twelve." The member replied, "six " and was let in. A second member came to the door and the doorman said, "six." The member replied, "three" and was let in. The man thought he had heard enough and walked up to the door. The doorman said ,"ten" and the man replied, "five." But he was not let in. What was the right answer then?
Three. The doorman lets in those who answer with the number of letters in the word the doorman says.
79.05 %

## Really hard algebra puzzle

2+3=8, 3+7=27, 4+5=32, 5+8=60, 6+7=72, 7+8=? Solve it?
98 2+3=2*[3+(2-1)]=8 3+7=3*[7+(3-1)]=27 4+5=4*[5+(4-1)]=32 5+8=5*[8+(5-1)]=60 6+7=6*[7+(6-1)]=72 therefore 7+8=7*[8+(7-1)]=98 x+y=x[y+(x-1)]=x^2+xy-x
78.92 %

## Take 2 from 5

How can you take 2 from 5 and leave 4?
F I V E. Remove the 2 letters F and E from five and you have IV.
78.86 %