Mathematical Puzzle
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Suppose that there is a rubber ball which has a property of bouncing back to the original height from which it was dropped and it keeps doing that until it is stopped by any external force.
Can you calculate the fraction of height to which the ball would have bounced if it has bounced four times after dropping from a certain height without being stopped?
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Mr. Sameer a very clever person, he wanted to cheat restaurant owner Mrs. Alka by proving she have calculated his bill wrongly.
If Mrs Alka got proven wrong she will have to give complete refund to Mr. Sameer. Can you Help Mrs. Alka and prove Mr. Sameer is wrong?
Here is Mr. Sameer’s Statement
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A rubber band (well, a rubber string, really) is 10 meters long. There’s a worm that starts at one end and crawls toward the other end, at a speed of 1 meter per hour. After each hour that passes, the rubber string is stretched so as to become 1 meter longer than it just was. Will the worm ever reach the other end of the string?
Also know as – Ant on a rubber rope Puzzle
An ant starts to crawl along a taut rubber rope 1 km long at a speed of 1 cm per second (relative to the rubber it is crawling on). At the same time, the rope starts to stretch uniformly by 1 km per second, so that after 1 second it is 2 km long, after 2 seconds it is 3 km long, etc. Will the ant ever reach the end of the rope?View SolutionSubmit Solution- 1,453.0K views
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Some multiples of 11 have an even digit sum.
For example-
7*11 = 77 and 7+7 = 14, which is even;
11*11 = 121 and 1+2+1 = 4, which is even.Do all multiples of 11 have an even digit sum?
(Prove that they do or find the smallest that does not.)View SolutionSubmit Solution- 1,442.7K views
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Given the size of the chess board and initial position of the knight, what is the probability that after k moves the knight will be inside the chess board.
Note:-
1) The knight makes its all 8 possible moves with equal probability.
2) Once the knight is outside the chess board it cannot come back inside.Puzzlefry added Info-
This challenge is originally from a blog post of crazyforcode.com published under the CC BY-NC-ND 2.5 IN licence.View SolutionSubmit Solution- 1,446.1K views
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One person has some money in his pocket, He visits four temple on the way. As soon as he enters a temple, his money gets double and he offers Rs. 100 in each temple thus his pocket gets empty after he returns from the fourth temple. Now the question is how much money he had initially ?
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A correspondent informs us that on Armistice Day (November 11, 1928) he had lived as long in the twentieth century as he had lived in the nineteenth. This tempted us to work out the day of his birth. Perhaps the reader may like to do the same. We will assume he was born at midday
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Here is an ancient puzzle that has always perplexed some people. Two market women were selling their apples, one at three for a penny and the other at two for a penny. One day they were both called away when each had thirty apples unsold: these they handed to a friend to sell at five for 2¢. It will be seen that if they had sold their apples separately they would have fetched 25¢, but when they were sold together they fetched only 24¢.
“Now,” people ask, “what in the world has become of that missing penny?” because, it is said, three for l¢ and two for l¢ is surely exactly the same as five for 2¢.
Can you explain the little mystery?View SolutionSubmit Solution- 1,446.4K views
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