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Puzzles to Puzzle You

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A cement block balances evenly in the scales with three quarters of a pound and three quarters of a block. What is the weight of the whole block ?

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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?

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A society of farmers who own farms in the vicinity of my home town Bangalore, planned on holding a raffle and persuaded me to buy a ticket. The value of the ticket was Rs. 5. As I did not want to pay the entire amount myself, I asked my friend Radha to chip in with me, and offered to share with her in proportion the prize bounty— if there was going to be any. She paid Rs. 2 and I paid the rest. As luck would have it—Bingo!... we won the first prize—a flock of 50 sheept Good God!... Neither of us knew what to do with the sheep... Where would we take them in the first place Neither of us had had any training as shepherds! So we decided to sell the sheep back to the farmers. As per our original understanding 20 of the sheep belonged to Radha and 30 were mine. However, I decided that we had won the prize because of our combined luck, and so we should divide its value equally. The sheep—30 of mine and 20 of Radha's—were sold, each at the same-price, and I paid her Rs. 150 to make the sum equal. What was the value per sheep?

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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 ?

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I entered a store and spent one-half of the money that was in my purse. When I came put I found that I had just as many paise as I had rupees and half as many rupees as I had paise when I went in. How much money did I have on me when I entered?

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Can you split 34. parts into two parts such that 4/7 of one of the parts equals 2/5 of the other?

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A fraction has the denominator greater than its numerator by 6. But if you add 8 to the denominator, the value of the fraction would then become 1/2. Can you find this fraction?

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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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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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Here is an ancient problem from Bhaskaracharya's Lilavati: Beautiful maiden, with beaming eyes, tell me which is the number that, multiplied by 3, then increased by three fourths of the product, divided by 7, diminished by one third of the quotient, multiplied by itself, diminished by 52, the square root found, addition of 8, division by 10 gives the number 2? Well, it sounds complicated, doesn't it? No, not if you know how to go about it.

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