Logic Puzzles
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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- 1,632.2K 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- 1,632.1K 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. 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- 1,634.0K views
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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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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- 1,631.2K views
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Which would you say is heavier, a pound of cotton or a pound of gold?
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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- 1,631.0K views
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In the Puzzle Fry criminal court A man was being accused of having stolen certain valuable jewels and trying to run away with them, when he was caught by a smart police officer who overtook him.
In cross examination the lawyer for accused asked the police officer how he could catch up with the accused who was already seven steps ahead of him, when he started to run after him. ‘Yes Sir.’ The officer replied. ‘He takes eight steps to every five of mine !
‘But then officer,’ interrogated the lawyer, ‘how did you ever catch him. if that was the case?’
‘That’s easily explained sir,’ replied the officer, I got a longer stride… two of my steps equal in length to his five. So the number of steps 1 required were fewer than his. and this brought me to the spot where I captured him.’
A member of the jury, who was particularly good at quick calculations did some checking and figured out the number of steps the police officer must have taken.
Can you also find out how many steps the officer needed to catch up with the thief?View SolutionSubmit Solution- 1,638.8K views
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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- 1,636.8K views
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