Math Riddles

 
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Question: What is the next number in the sequence? 1 11 21 1211 111221 312211

Answer: The next number it: 13112221. Each number describes the previous number. Starting with 1, the second line describes it 11 (one 1). Then the third line describes 11 as 21 (two 1's). Then the fourth line describes 21 as 1211 (one 2, one 1). This is the pattern.

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Question: You have a cube made of 10 x 10 x 10 smaller cubes, for a total of 1000 smaller cubes. If you take off 1 layer of cubes, how many remain?

Answer: The remaining cube will be 8 x 8 x 8. This will be 512. A layer is take from all sides of the cube, so it would reduce the dimensions be two, not one.

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Question: You have two buckets: one with only white marbles and one with only black marbles. The two buckets have the same number of marbles.

How can you rearrange the marbles to maximize your chances of grabbing a white marble from each?

Answer: Put a single white marble in one bucket and put the rest of the white marbles and all of the black marbles in the other. This makes your odds about 75 percent for grabbing two white marbles.

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Question: If you randomly choose one of the following answers to this question, what is your chance of getting it right?

A) 50%
B) 25%
C) 0%
D) 25%

Answer: 0%. No matter which answer you choose you are incorrect. All of the answers create a logic loop.

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Question: A deaf and mute man goes to the train station. Tickets for the train are 50 cents each. The man goes to the ticket booth and hands the man inside just a dollar. The man in the booth hands him two tickets.

How did the man in the booth know to give him two tickets without even looking at him?

Answer: The deaf and mute man gave him four quarters, so the man in the booth knew he wanted several tickets. Otherwise, he would have given him two quarters. This would work with any change equaling 50 cents.

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