Logic Puzzles
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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- 1,458.3K 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- 1,463.2K 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- 1,460.5K views
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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- 1,459.1K 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- 1,457.1K views
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When my uncle in Madura died recently,
he left a will, instructing his executors to divide his estate of Rs. 1,920,000 in this manner: Every son should receive three times as much as a daughter, and that every daughter should get twice as much as their mother.What is my aunt’s share?
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