A soccer fan, upset by the defeat of his favorite team, slept restlessly. In his dream a goalkeeper was practicing in a large unfurnished room, tossing a soccer ball against the wall and then catching it. But the goalkeeper grew smaller and smaller and then changed into a ping-pong ball while the soccer ball was swelled up into a huge cast-iron ball. The iron ball circled round madly, trying to crush the ping-pong ball, how did the ping-pong find safety whithout leaving the floor?
Answer: If the ping-pong ball rolls flush against the wall, the cast-iron ball cannot crush it. Those who know geometry can determine that if the diameter of a large ball is at least 5.83 (3+2(square root of 2) times as large as the diameter of a little ball, then the little ball will be safe if it hugs the wall. A cast-iron ball that is larger than a soccer ball is more than 4.83 times as large in diameter as a ping-pong ball.
Solution:
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If the ping-pong ball rolls flush against the wall, the cast-iron ball cannot crush it.
Those who know geometry can determine that if the diameter of a large ball is at least 5.83 (3+2(square root of 2) times as large as the diameter of a little ball, then the little ball will be safe if it hugs the wall.
A cast-iron ball that is larger than a soccer ball is more than 4.83 times as large in diameter as a ping-pong ball.
Show Answer
Those who know geometry can determine that if the diameter of a large ball is at least 5.83 (3+2(square root of 2) times as large as the diameter of a little ball, then the little ball will be safe if it hugs the wall.
A cast-iron ball that is larger than a soccer ball is more than 4.83 times as large in diameter as a ping-pong ball.
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Plant Tortoise Caterpillar Bug Puzzle With Answer | Maths riddle
Answer:
Solution:
Explanation
Equation 1: 5 + 10 + 10 = 25 (So the value of a PLANT with 5 leaves is 5; Also note that there are two plants one beneath the other in second and third part of the equation 1.
Equation 2: 8 + 8 + 8 = 24 (If you look closely, you can see the number 3 on top of each Tortoises. So the value of a TORTOISE = 5)
Equation 3: 2 x 2 x 2 = 8 (So the value of a CATERPILLAR = 2)
Equation 4: 3 + 3 + (-3) = 3 (Since on bug is moving backwards its value is negative. So the value of one BUG = 3)
Equation 5: (5 + 3) + (4 + 2 + 2) x (3 + 3)
(Here in the first part of equation there is a bug on the face of the Tortoise and the Tortoise has no number 3 on its body)
(In the second part of this equation, there are only 4 leaves for the plant and you can see two Caterpillars in the plant pot)
(In the third part of this equation, there are two bugs, one beneath the other)
=> 8 + 8 x 6
=> 8 + 48
=> 56
Final Answer = 56
Explanation
Equation 1: 5 + 10 + 10 = 25 (So the value of a PLANT with 5 leaves is 5; Also note that there are two plants one beneath the other in second and third part of the equation 1.
Equation 2: 8 + 8 + 8 = 24 (If you look closely, you can see the number 3 on top of each Tortoises. So the value of a TORTOISE = 5)
Equation 3: 2 x 2 x 2 = 8 (So the value of a CATERPILLAR = 2)
Equation 4: 3 + 3 + (-3) = 3 (Since on bug is moving backwards its value is negative. So the value of one BUG = 3)
Equation 5: (5 + 3) + (4 + 2 + 2) x (3 + 3)
(Here in the first part of equation there is a bug on the face of the Tortoise and the Tortoise has no number 3 on its body)
(In the second part of this equation, there are only 4 leaves for the plant and you can see two Caterpillars in the plant pot)
(In the third part of this equation, there are two bugs, one beneath the other)
=> 8 + 8 x 6
=> 8 + 48
=> 56
Final Answer = 56