MathProblem 💙💛
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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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At 4 o'clock in the afternoon, 6 seconds elapsed from the first to the last beat of the clock. How much time will pass from the first to the last beat at noon?

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On the clock that runs exactly, all the numbers have come off. Only the divisions without signatures remained. How do I know where to return each digit? (You don't have any other watches.)

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The driver of a long-range truck looked at the instruments of his car and saw that the speedometer shows 25952. "What a beautiful number I drove. Probably, the next beautiful number will not fall out soon," he thought. However, after an hour and twenty minutes, the following beautiful number appeared on the speedometer. How fast was the truck going?

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Cut the dial into two parts so that
1) the sum of the numbers in each part was the same;
2) the sum of the digits in each part was the same.

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How many times a day do the hands of the clock form a right angle?

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Lucas's alarm clock is ruined: he is in a hurry for 4 minutes an hour. At 7 p.m., Lucas set the exact time on it and set the call to 7 a.m. What time will Lucas wake up?

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