These are the best and most fun math riddles we can find. All of these tricky riddles are based on real math concepts and can be solved with purely math and logic.
Question: John has been hired to paint the numbers 1 through 100 on 100 apartments.
How many times with he have to paint 8?
Answer: 20 times. (8, 18, 28, 38, 48, 58, 68, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 98).
Question: Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a sports car; behind all of the others is bicycles. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 2, revealing a bicycle. He then says to you, "Do you want to pick door No. 3?" Is it to your advantage to switch your choice?
Answer: Yes, by changing your answer your chances of winning actually goes up from 1/3 to 2/3.
This becomes obvious when expanding the example. Suppose there was 100 doors rather than 3. You pick one and the host shows you that the car is not behind 98 of the doors then asks you to switch to the remaining door or keep the door you picked. Of course you would switch your door because chances are you didn't pick the correct door initially.
For more explanation go to http://en.wikipedia.org/wiki/Monty_Hall_problem#Solutions
Question: You find me behind the stars; or in a sixth, seventh, or third.
It takes something round, a computer, and me to make pie.
I am bigger than anything you can think of.
What am I?
Answer: Infinity (A sixth, seventh and third all go on forever in decimal form. Pi instead of pie).
Question: If a mountain climber climbed up a mountain one day from midnight to midnight the next day and does the same thing the following day when coming down the mountain, would there be a time at which he was at the same position on the mountain both day?
Answer: Yes. Since the mountain climber would probably have an irregular rate it would be impossible to know when but he would be at the same spot at some point. If he could walk up and down the mountain at the same time he would have to cross himself at some point, and this would be the time at which he was in the same position.
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