Logic Puzzles
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One day when I was walking on the road in New Delhi, a group of boys approached me for donation for their poor boys’ fund. I gave them a rupee more than half the money I had in my purse. I must have walked a few more yards when a group of women approaphed me for donations for an orpbange. I gave them two rupees more than half the money I had in my purse. Then, after a few yards I was approached by a religious group for a donation to the temple they were building. .1 gave them three rupees more than half of what I had in my purse.
At last when returned to my hotel room, I found that I had only one rupee remaining in my purse.
How much money did I have in my purse when I started?View SolutionSubmit Solution- 1,452.2K 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- 1,456.0K views
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A factory manufacturing flywheels for racing cars has ten machines to make them. The manufacturer knows the correct weight for a flywheel.
However, one day one of the machines begins to pro-duce faulty parts—either overweight or underweight.
How can the manufacturer find the faulty machine in only two weighings?View SolutionSubmit Solution- 1,453.6K views
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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 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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2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??Solve it?
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5+3+2 = 151022
9+2+4 = 183652
8+6+3 = 482466
5+4+5 = 202541
THEN ;
7+2+5 =?View SolutionSubmit Solution- 1,452.9K views
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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- 1,457.8K 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- 1,455.1K views
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