MathProblem πŸ’™πŸ’›
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Recreational mathematics.

Of the 12 coins, only 1 is false, and it is a different weight than the real coin.
How do you find a counterfeit coin in 3 weighings on a two-cup scale without weights?

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Hares found a log 6 m long in the forest. To take it home, they sawed it into pieces 1 meter long. How many cuts did they make?

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A piece fell out of the book, the first page of which has the number 35, and the last has 74. How many pages fell out?

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Now the hares already have several logs. They sawed all the logs, making 20 cuts, and got 27 logs. How many logs did the hares have?

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The snail must climb a pole 10m high. Every day it rises 4m, and every night it slides down 3m. When will the snail reach its target if it started on Monday morning?

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The main building of Moscow State University consists of several sectors. The highest tower with a spire is sector A, it is educational. Side sectors B and C adjoin it - dormitories for students. Floors in different sectors differ in height. Because of this, for example, it turns out that transitions from the 13th floor of sector A lead to the 19th floor of sectors B and C.
What is the ratio of the floor height of sector A to sector B?

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How many times a day does the minute hand overtake the hour hand on the clock?

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Is it possible to exchange 25 lire with ten coins of 1, 3 and 5 lire?

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Bart tore the school wall newspaper into 3 parts. After that, he took one of the pieces and also tore it into 3 parts. Then again one of the pieces was torn into 3 parts, and so on. Could he end up with 100 pieces?

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On a chessboard on one of the cells stood the knight. He made several moves and returned to the same square. Did he make an even or odd number of moves?

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