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Archive for April, 2014

A Duck, a Fox and a Pond

Posted by Karl Sharman under Tom (11 Responds)

A duck is swimming in the center of a perfectly circular pond, and a fox is on the land at the very edge of the pond. The fox is hungry and wants to eat the duck, but it cannot swim. The duck wants to get out of there but needs to reach land in order [...]

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How many games of Noughts and Crosses / Tic-Tac-Toe are there?

Posted by Karl Sharman under Tom (4 Responds)

I am not sure if this was posted here before, but here we go… Now, this question is certainly open to interpretation on a number of levels, but,it is as simple as:- How many games of Tic-Tac-Toe are there?
That was the oh so simple question asked in Scientific American in 2002. And I don’t have [...]

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That’s a lot of jelly…

Posted by Karl Sharman under Tom (2 Responds)

Imagine you have giant jelly. The jelly weighs 100 pounds, and is 99% water by weight. You leave the jelly out, and let water evaporate from the jelly until it reaches 98% water by weight. How much does the jelly now weigh?

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The Red Baron – Fighter Ace

Posted by Karl Sharman under Tom (9 Responds)

Baron von Richthofen died on this day in 1918 – He was a fighter Ace in WW1 – so, on that tenuous link, here’s an Ace question by Martin Gardner 1914-2010 – After going down in flames for my last question, this is a probability question by someone else…
Someone deals you a bridge hand (13 [...]

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Am I attempting a Question on Probabilities? I could be in trouble…

Posted by Karl Sharman under Tom (17 Responds)

Following on from Chris’s questions on probabilities in a deck of cards…. and I really hope I have the right answer or Chris will never let me hear the end of this…
You have a deck of cards which you thoroughly shuffle. Next, you start to deal them, face-up, counting the cards as you go. “One, [...]

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Raising the Bar for Children

Posted by Karl Sharman under Tom (3 Responds)

Old, but gold… A man walks into a bar on Main Street, orders a drink, and starts chatting with the bartender. After a while, he learns that the bartender has three children. “How old are your children?” he asks. “Well,” replies the bartender, “the product of their ages is 72.” The man thinks for a [...]

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The answer is finite, so it has to be easy…

Posted by Zorglub under Tom (8 Responds)

x_1 through x_6 are integers, greater than or equal to zero.
What is the largest value that x_1 can take, while satisfying
12228x_1 + 36679x_2 + 36682x_3 + 48908x_4 + 61139x_5 + 73365x_6 = 89716837 ?

I need a decorator!

Posted by Karl Sharman under Tom (4 Responds)

Six house painters can paint six rooms in six hours. How many painters are needed to paint 100 rooms in 50 hours? There is the obvious solution, for which points will be awarded, but let’s put a little twist on this conundrum…. What if you can only fit one painter in a room at a [...]

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