Brain Teasers & Puzzles

There is a number, the second digit of which is smaller than its first digit by 4, and if the number was divided by the digits sum, the quotient would be 7. Can you find the number?
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A friend of mine bought a used pressure cooker for Rs. 60. She somehow did not find it useful and so when a • friend of hers offered her Rs. 70 she sold it to her. However, she felt bad after selling it and decided to buy it back from her friend’ by offering her Rs. 80. After having bought it ooce again she felt that she did not really need the cooker. So she sold it at the auction for Rs. 90.
How much profit did she make? Did she at all make any profit?
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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 1,533.6K views
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One day I decided to walk all the way from Bangalore to Tumkur. I started exactly at noon. And someone I know in Tumkur decided to walk all the way to Bangalore from Tumkur and she started exactly at 2 JP.M., on the same day.
We met on the BangaloreTumkur Road at five past four, and we both reached our destination at exactly the same time.
At what time did we both arrive?View SolutionSubmit Solution 1,534.6K views
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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 1,534.3K views
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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 1,531.8K views
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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. However, 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 1,532.2K views
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It is a matter of common knowledge that 0°C is the same as 32°F. It is also a known fact that 100°C equals 212°F. But there is & temperature that gives the same reading on both Centigrade and Fahrenheit scales. Can you find this temperature?
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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?
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The Puzzle: Here is a famous prize problem that Sam Loyd issued in 1882, offering $1000 as a prize for the best answer.
How to arrange the seven figures and the eight ‘dots’ .4.5.6.7.8.9.0. which would add up to 82
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