Mathematical problems on logic, the solution of which causes ecstasy and a sense of deep satisfaction

Often adults are inferior to children in ingenuity and resourcefulness. Editorial "Site" I was once again convinced of this, trying to solve mathematical problems on logic for students of the 5th grade. Some of the children's challenges, frankly, have left us baffled. Can you do it?



Below we offer you 6 tasks straight from the math textbook for the 5th grade. At the end of the article, you can find the right answers and compare them to your own. Here we go!

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5. 72868.500
   
   
   
   
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Answers.

1. 150 apples. After passing each door, the number of apples decreased by 2 times. Since there were 4 doors, the apples at first were 10x2x2x2x2=160. Then the guards took 160-10 = 150 apples.
2. Dobrynja Nikitich.
3. Put it down. cup by cup On a coin. If the scales are in balance, the counterfeit coin is the third. If a cup is lighter, then there is a false coin on it.
4. In 28 years.. Let it happen in X years. Then: 56+x=2 (14+x), 56+x=28+2x, x=28.
5. No.. Suppose he's guilty. So he must always lie. Besides, since he stole the pepper, he must know who stole it: it was himself. But then it turns out he told the truth. Contradiction. So our assumption is wrong, so he can't be guilty.
6. Sunday night.. During the day (day and night), the snail will move along a pillar by 1 m (rise by 4 m in the day and fall by 3 m at night). As a result, after 6 days, it will be at a height of 6 m and the next day will crawl to the top.

How many problems did you solve correctly? Boldly shared their results and impressions in the comments. Good luck!