Mathematical Puzzle

We have a circular dining table made of marble which has come down to us as a family heirloom. Ws also have some beautiful bonechina saucers that I recently brought from Japan.
Our table top is fifteen times the diameter of our saucers which are also circular. We would like to place the saucers on the table so that they neither over lap each other nor the edge of the table.
How many can we place in this manner?^View SolutionSubmit Solution 800.3K views
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When my uncle in Madura died recently,
he left a will, instructing his executors to divide his estate of Rs. 1,920,000 in this manner: Every son should receive three times as much as a daughter, and that every daughter should get twice as much as their mother.What is my aunt’s share?
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It is a small town railway station and there are 25 stations on that line. At each of the 25 stations the passengers can get tickets for any of the others 24 stations.
How many different kinds of tickets do you think the booking clerk has to keep?View SolutionSubmit Solution 801.0K views
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A man I know, who lives in my neighborhood, travels to Chinsura every day for his work. His wife drives him over to Howrah Station every morning and in the evening exactly at 6 P.M. she picks him up back at the station and takes him home.
One day he was let off at work an hour earlier, and so he arrived at the Howrah Station at 5 P.M. instead of at 6. He started walking home. However he met h» wife en route to the station and got into the car. They drove home arriving 10 minutes earlier than usual.
How long did the man have to walk, before he was picked up by his wife?View SolutionSubmit Solution 800.0K views
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Two women were selling marbles in the market place —one at three for a paise and other at two for a paise. One day both of them were obliged to return home when each had thirty marbles unsold. They put together the two lots of marbles and handing them over to a friend asked her to sell them at five for 2 paise. According to their calculation, after all, 3 for one paise and 2 for one paise was exactly the same as 5 for 2 paise.
But when the takings were handed over to them, they were both most surprised, because the entire lot together had fetched only 24 paisel If however, they had sold their marbles separately they would have fetched 25 paise.
Now where did the one paise go? Can you explain the mystery?View SolutionSubmit Solution 800.8K views
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My friend Shuba works in a post office and she sells stamps. One day a man walked in and slamming seventyfive paise on the counter requested, ‘Please give me some 2 paise stamps, six times as many one paisa stamps, and for the rest of the amount make up some 5 paise stamps.’
The bewildered Shuba thought for a few moments and finally she handed over the exact fulfilment of the order to the man—with a smile.
How would you have handled the situation?View SolutionSubmit Solution 799.8K views
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There are eleven different ways of writing 100 in the form of mixed numbers using all the nine digits once and only once. Tenof the ways have two figures in the integral part of the number, but the eleventh expression has only one figure there.
Can you find all the eleven expressions?View SolutionSubmit Solution 802.0K views
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There is a number which is very peculiar. This number is three times the sum of its digits. Can you find the number
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A wholesale merchant came to me one day and posed this problem. Every day in his business he has to weigh amounts from one pound to one hundred and twentyone pounds, to the nearest pound. To do this, what is the minimum number of weights he needs and how heavy should each weight be?
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Recently I attended the twelfth wedding anniversary celebrations of my good friends Mohini and Jayant. Beaming with pride Jayant looked at his wife and commented, ‘At the time we were married Mohini was 3/4 of my age, but now she is only 5/6 th.
We began to wonder how old the couple must have been each at the time of their marriage!
Can you figure it out?View SolutionSubmit Solution 806.3K views
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