Mathematical Puzzle
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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- 1,444.4K views
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100 people are standing in a circle in an order of 1 to 100.
No.1 has a sword he kills the next person(i.e. no 2) and gives sword to next to next (i.e no 3). All person does the same until only 1 survives.
Which no. survives?
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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- 1,443.1K views
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A man went into a bank with a thousand dollars, all in dollar bills, and ten
bags. He said, “Place this money, please, in the bags in such a way that if I
call and ask for a certain number of dollars you can hand me over one
or more bags, giving me the exact amount called for without opening any of
the bags.”
How was it to be done? We are, of course, only concerned with a single
application, but he may ask for any exact number of dollars from one to one
thousand.View SolutionSubmit Solution- 1,442.7K 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- 1,443.9K 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- 1,442.4K views
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There is a drum full of milk, people come for buying milk in the range of 1-40 litres. You can have only 4 cans to draw milk out of drum. tell me what should be the measurement of these four cans so that you can measure any amount of milk in the range of 1-40 litres.
Note: We can use one container only once.
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On a circle there are 2014 light bulbs, 2 are ON, and 2012 are OFF. You can choose any bulb and change the neighbor’s state from ON to OFF or from OFF to ON. Doing so, can we get all 2014 light bulbs on ? If yes, How?
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