All Puzzles
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A railway track runs parallel to a road until a bend brings the road to a level crossing. A cyclist rides along to work along the road every day at a constant speed of 12 miles per hour.
He normally meets a train that travels in the same direction at the crossing.
One day he was late by 25 minutes and met the train 6 miles ahead of the level crossing. Can you figure out the speed of the train?View SolutionSubmit Solution- 1,610.8K views
- 1 answers
- 0 votes
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My friend who owns a farm near Bangalore has five droves of animals on his farm consisting of cows, sheep and pigs with the same number of animals in each drove.
One day he decided to sell them all and sold them to eight dealers.
Each of the eight dealers bought the same number of animals and paid at the rate of Rs. 17 for each cow, Rs. 2 for each sheep and Rs. 2 for each pig.
My friend recieved from the dealers in total Rs. 301.
How many animals in all did he have and how many of each kind?View SolutionSubmit Solution- 1,611.6K views
- 1 answers
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My room has a square window of 4 feet across and 4 feet down. I decided to get only half the area of the window painted. Even after the painting I found that the clear part of the window still remained a square and still measured 4 feet from top to bottom and 4 feet from side to side.
How is it possible?View SolutionSubmit Solution- 1,609.1K views
- 1 answers
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Recently, while I was in a holiday resort in Peru I watched a very interesting spectacle. Two gentlemen by the name of Sr. Guittierez and Sr. Ibanez decided to have a Llama race over the mile course on the beach sands. They requested me and some of my other friends whom I had met at the resort to act as the judges. We stationed ourselves at different points on the course, which was marked off in quarter miles.
But, the two Llamas, being good friends decided not to part company, and ran together the whole way. How-ever, we the judges, noted with interest the following results:
The Llamas ran the first three quarters in six and three quarters minutes. They took the same time to run the first half mile as the second half. And they ran the third quarter in exactly the same time as the last quarter.
From these results I became very much interested in finding out just how long it took those two Llamas to run the whole mile.
Can you find out the answer?View SolutionSubmit Solution- 1,609.5K views
- 1 answers
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There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.
If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example
If the balls you picked had the numbers 6 and 13, you lose $1.
If the balls you picked had the numbers 5 and 25, you win $2.Will you accept that bet?
View SolutionSubmit Solution- 1,646.3K views
- 2 answers
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A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice.
How many cats do you think there were?
Ob, by the way let me clarify just two points—it is not one cat killed the lot, because I have said ‘Cats’ and it is not-999919 cats each killed one mouse, because I have used the word ‘mice’.
I can give you just one clue—each cat killed more mice than there were cats.View SolutionSubmit Solution- 1,615.8K views
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We all know that a chess board has 64 squares. This can be completely covered by 32 cardboard rectangles, each cardboard covering just 2 squares.*
Supposing we remove 2 squares of the chess board at diagonally opposite corners, can we cover the modified board with 31 rectangles? If it can be done how can we do it? And if it cannot be done, prove it impossible.View SolutionSubmit Solution- 1,613.2K views
- 1 answers
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Recently, while in London, I decided to walk down the escalator of a tube station. I did some quick cal-culations in my mind. I found that if I walk down twenty-six steps, I require thirty seconds to reach the bottom. However, if I am able to step down thirty-four stairs I would only require eighteen seconds to get to the bottom.
If the time is measured from the moment the top step begins to descend to the time I step off the last step at the bottom, can you tell the height of the stairway in steps?View SolutionSubmit Solution- 1,611.6K views
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We have a circular dining table made of marble which has come down to us as a family heirloom. Ws also have some beautiful bone-china 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- 1,609.7K views
- 1 answers
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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- 1,610.5K views
- 1 answers
- 1 votes
