Ball Jumping

A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can you calculate the fraction of its original height that the ball will bounce after it is dropped and it has bounced four times without any hindrance ?




Similar Math Riddles

John went to buy some expensive, foreign chocolates. He only had Rs 100 with him. When he reached the shop, he got out and know that on those chocolates, there was a 15% import duty and 5% VAT.

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What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

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How do you go from 98 to 720 using just one letter?

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There is a hypothetical state between the USA and Mexico border 'Tango'.
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Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

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An octopus has 8 legs. A hippogriff has 6 legs and 2 pairs of wings. A sphinx has 6 legs and one pair of wings. Now we have all 3 kinds and a total of 18 insects in a cage. We have a total of 118 legs and 20 pairs of wings. How many insects do we have of each kind?

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The product of three consecutive numbers is 7980.
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Jigsaw puzzles

Jigsaw puzzles soared in popularity during the great depression, as they provided a cheap, long-lasting, recyclable form of entertainment.