All Puzzles
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A correspondent informs us that on Armistice Day (November 11, 1928) he had lived as long in the twentieth century as he had lived in the nineteenth. This tempted us to work out the day of his birth. Perhaps the reader may like to do the same. We will assume he was born at midday
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Here is an ancient puzzle that has always perplexed some people. Two market women were selling their apples, one at three for a penny and the other at two for a penny. One day they were both called away when each had thirty apples unsold: these they handed to a friend to sell at five for 2¢. It will be seen that if they had sold their apples separately they would have fetched 25¢, but when they were sold together they fetched only 24¢.
“Now,” people ask, “what in the world has become of that missing penny?” because, it is said, three for l¢ and two for l¢ is surely exactly the same as five for 2¢.
Can you explain the little mystery?View SolutionSubmit Solution- 1,611.1K views
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A grocer in a small business had managed to put aside (apart from his legitimate profits) little sum in dollar bills, half dollars, and quarters, which he kept in eight bags, there being the same number of dollar bills and of each kind of coin in every bag. One night he decided to put the money into only seven bags, again with the same number of each kind of currency in every bag. And the following night he further reduced the number of bags to six, again putting the same number of each kind of currency in every bag. The next night the poor demented miser tried to do the same with five bags, but after hours of trial he utterly failed, had a fit, and died, greatly respected by his neighbors. What is the smallest possible amount of money he had put aside?
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Nine persons in a party, A, B, C, D, E, F, G, H, K, did as follows: First A gave each of the others as much money as he (the receiver) already held; then B did the same; then C; and so on to the last, K giving to each of the other eight persons the amount the receiver then held. Then it was found that each of the nine persons held the same amount. Can you find the smallest amount in cents that each person could
have originally held?View SolutionSubmit Solution- 1,610.5K views
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Seven men engaged in play. Whenever a player won a game he doubled
the money of each of the other players. That is, he gave each player just as
much money as each had in his pocket. They played seven games and,
strange to say, each won a game in turn in the order of their names, which
began with the letters A, B, C, D, E, F, and G.
strange to say, each won a game in turn in the order of their names
When they had finished it was found that each man had exactly $1.28 in his
pocket. How much had each man in his pocket before play?View SolutionSubmit Solution- 1,609.3K views
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A man persuaded Weary Willie, with some difficulty, to try to work on a
job for thirty days at eight dollars a day, on the condition that he would forfeit
ten dollars a day for every day that he idled. At the end of the month
neither owed the other anything, which entirely convinced Willie of the folly
of labor. Can you tell just how many days’ work he put in and on how many
days he idled?View SolutionSubmit Solution- 1,610.0K views
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A man went into a bank to cash a check. In handing over the money the
cashier, by mistake, gave him dollars for cents and cents for dollars. He
pocketed the money without examining it, and spent a nickel on his way home.
He then found that he possessed exactly twice the amount of the check. He
had no money in his pocket before going to the bank. What was the exact
amount of that check?View SolutionSubmit Solution- 1,608.7K views
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You are blindfolded and 10 coins are place in front of you on table. You are allowed to touch the coins, but can’t tell which way up they are by feel. You are told that there are 5 coins head up, and 5 coins tails up but not which ones are which. How do you make two piles of coins each with the same number of heads up? You can flip the coins any number of times.
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Consider a rectangular grid of 4×3 with lower left corner named as A and upper right corner named B. Suppose that starting point is A and you can move one step up(U) or one step right(R) only. This is continued until B is reached. How many different paths from A to B possible ?
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If you walk one mile south, then one mile east and then one mile north, you reach the place where you started. In such a scenario, how many points are there on the globe to make it happen?
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