Mathematical Puzzle

Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs 2,000. They were both lucky, their business prospered and they were able to increase (heir capital by 50 per cent every three years.
How much did they have in all at the end of eighteen years.View SolutionSubmit Solution 833.4K views
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Some months back, this year, I was walking through the Central Park in New York.
I saw an intelligent looking little boy playing all by himself on the grass. I decided to talk to him and just as an excuse to start the conversation I asked him his age. A mischivious glint flickered in his eyes and he replied, ‘Two days back I was ten years old, and next year I shall be thirteen. If you know what’s today you’ll be able to figure out my birthday and that’ll give you my age.’ I looked at him bewildered. How old was the boy?View SolutionSubmit Solution 833.9K views
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I bought a sari and a blouse for Rs. 110 at the New *Market. The sari cost Rs. 100 more than the blouse, how much does the sari cost?
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The product of three consecutive numbers when divided by each of them in turn, the sum of the three quotients will be 74.
What are the numbers?View SolutionSubmit Solution 833.8K views
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An unscrupulous trader decided to make some extra profit on Coffee. He bought one type of coffee powder at Rs. 32 a kilo and mixed some of it with a better quality of coffee powder bought at Rs. 40 a kilo, and he sold the blend at 43 a kilo. That gave him a profit of 25 per cent on the cost.
How many kilos of each kind must he use to make a blend of a hundred kilos weight?View SolutionSubmit Solution 836.5K 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 834.8K 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 833.4K views
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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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