Mathematical Puzzle
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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. Ten-of 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- 1,612.0K 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 twenty-one 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 com-mented, ‘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- 1,617.7K views
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Last time I visited a friend’s farm near Bangalore he gave me a bag containing 1000 peanuts. From this I took out 230 peanuts for use in my own home and gave away the bag with the remainder of peanuts to three little brothers who live in my neighbourhood and told them to distribute the nuts between themselves in proportion to their ages which together amounted to 17.5 years.
Tinku, Rinku and Jojo, the three brothers, divided the nuts in the following manner:
As often as Tinku took four Rinku took three and as often as Tinku took six Jojo took seven.
With this data can you find out what were the respective ages of the boys and how many nuts each got?View SolutionSubmit Solution- 1,609.2K views
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While walking down the street, one morning, I found a hundred rupee note on the footpath. I picked it up, noted the number and took it home.
In the afternoon the plumber called on me to collect his bill. As I had no other money at home, I settled his account with the hundred rupee note I had found. Later I came to know that the plumber paid the note to his milkman to settle his monthly account, who paid it to his tailor for the garments he had had made.
The tailor in turn used the money to buy an old sewing machine, from a woman who lives in my neigh-bourhood. This woman incidentally, had borrowed a hundred rupees from me sometime back to buy a pressure cooker. She, remembering that she owed me a hundred rupees, came and paid the debt.
I recognised the note as the one I had found on the footpath, and on careful examination I discovered that the bill was counterfeit.
How much was lost in the whole transaction and by whom?View SolutionSubmit Solution- 1,609.1K views
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A little girl I know sells orange^ from door to door.
One day while on her rounds she sold 1/2 an orange more than half her oranges to the first customer. To the second customer she sold 1/2 an orange more than half of the remainder and to the third and the last customer she sold 1/2 an orange more than half she now had, leaving her none.
Can you tell the number of oranges she originally had? Oh, by the way, she never had to cut an orangeView SolutionSubmit Solution- 1,609.2K views
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We all know that the hour hand and the minute hand on a clock travel at different speeds. However there are certain occasions when the hands are exactly opposite each other. Can you give a simple formula for calculating the times of these occasions?
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While visiting a small town in the United States, I lost my overcoat in a bus. When I reported the matter to the bus company I was asked the number of the bus. Though I did not remember the exact number I did remember that the bus number bad a certain peculiarity about it. The number plate showed the bus number as a perfect square and also if the plate was turned upside down.? the number would still be a perfect square—of course it was not?
I came to know from the bus company they had only five hundred buses numbered from 1 to S00.
From this I was able to deduce the bus number. Can you tell what was the other numberView SolutionSubmit Solution- 1,614.9K views
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All the nine digits are arranged here so as to form four square numbers:
9, 81, 324, 576
How would you put them together so as to form a single smallest possible square number and a single largest possible square number?View SolutionSubmit Solution- 1,609.9K views
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