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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Parliament consists of two equal chambers. All representatives of both chambers were present at the joint meeting connected with the adoption of an important decision. Due to the importance of the issue, no one abstained from voting. After summarizing the results, it was announced that the decision was made by a majority of 25 votes. The opposition shouted: "This is a hoax!" How was this determined?

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This time Bart corrected two numbers in the multiplication example.
It turned out 4 Β· 5 Β· 4 Β· 5 Β· 4 = 2247. Help teacher Ms Clayton restore the original example. (Determine which numbers were corrected for what, and explain why it could not have been done otherwise.)

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Three jars labeled "raspberry", "strawberry" and "raspberry or strawberry" were filled with currant, raspberry and strawberry jam. All labels were incorrect. What kind of jam was poured into the "strawberry" jar?

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"Pure mathematics is in its way, the poetry of logical ideas." - Albert Einstein.

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