Posts from Intellectual quiz. Auto-translated

Hehe))) I'll get over it))) So, why did you all go silent?)) Here, figure this out)))

You often hear that one of the proofs of the Earth's spherical shape is the rounded form of the horizon. But what shape would the horizon have if the Earth were flat and infinitely long?

I have a book called "Kangaroo." There's a problem in it...
The inhabitants of the island are divided into knights, who always tell the truth, and liars, who always lie. Once, 12 inhabitants gathered together and said a few things. Two of them said: exactly two of us twelve are liars. Four others said: exactly four of us are liars. The rest said: exactly six of us are liars. How many liars are there in total among the twelve?
a) 5 b) 6 c) 9 d) 11
Brackman - probably straightforward :) I can't imagine this spectacle.

If the Earth were flat and infinitely long, there would be no horizon. At least, not in the sense that we usually understand the term "horizon." Sincerely, Gur Added 9 minutes later: I don't want to overthink it, but the number of liars in the Kitty problem is 6.

Yes, Kitty, the answer is on island 6 of the Liars)))

Correct! Just not on the entire island, but from twelve... well, it doesn't matter.
Here's another one: a magic tree grows bananas and pineapples. You can pick 2 fruits at a time (no more and no less). If you pick two bananas or two pineapples, one pineapple will grow. If you pick 1 banana and 1 pineapple, a banana will grow. After some time, there was only one fruit left on the tree, and there were 128 bananas and 87 pineapples. What was that fruit?

What, does nobody know how to solve it? Hint: it can be solved through logical thinking and simple math :).

Really, does nobody know how to solve it?

There's nothing to solve here; only the pineapple remains. Maybe it's worth moving on from questions suitable for 5th grade to at least 8th or 9th grade? And Kangaroo is just too easy; any problem can be solved quickly, it just doesn't give you much time.

7th grade, math Olympiad: A failing student, Vasya, tore three sheets of paper from his notebook. Some of them (possibly all) were torn into three or five pieces. Some of the resulting pieces of paper were torn again into three or five pieces, and so on. Could Vasya, by doing this, obtain exactly 2002 pieces of paper? Answers "yes" and "no" are not accepted; describe the solution. And, at Fireball's request, a slightly more difficult problem, 8th grade, again math: Someone, when asked what his ticket number was, answered as follows: "If all 6 two-digit numbers that can be formed from the digits of the ticket number are added together, then half of the resulting sum will be exactly my ticket number." Determine the ticket number. P.S. If no one can solve it, or the solution is not 100% correct, I will post the solution offered by the authors of the problems.

Vasya, a poor student, tore three sheets out of his diary. He tore some of them (maybe all) into three pieces or five pieces. He tore some of the resulting pieces of paper into three or five pieces again, and so on. Could Vasya, by doing this, obtain exactly 2002 pieces of paper?

Answers "yes" and "no" are not accepted; describe the solution.

Initially, Vasya had 3 pieces of paper – an odd number. Each tear into 3 or 5 pieces increases the total number of fragments of the unfortunate diary by 2 or 4 – an even number. That is, by acting in this way, Vasya can only obtain an odd number of pieces, and 2002 is an even number. Therefore, the answer is no, he could not.

And, at Fireball's request, a more difficult problem, 8th grade, again mathematics:

Someone, when asked what his ticket number was, answered as follows: "If all 6 two-digit numbers that can be formed from the digits of the number are added together, then half of the resulting sum will be exactly my ticket number." Determine the ticket number.

Answer: 198. The problem boils down to solving the equation 89a = b + 10c, where a, b, c are integers from 0 to 9, but a is not equal to zero.

And what game am I playing? "What? Where? When?" And I can even brag that this year my team (and I'll brag again that I'm its captain) is going to the Russian championship, thanks to the fact that we took third place at the Moscow region championship held recently. Here are a couple of questions from the championship. Since some words are emphasized with voice, so that attention is paid to them, I will write them in capital letters. Let's start with something simple! 1) This city has the town of Poloumnov as a suburb. What is the name of the city itself? (12 out of 20 teams of high school students answered this question) 2) In Japanese, the meaning of words often depends on pronunciation. For example, the surname of John Lennon's wife, Yoko Ono, can also be pronounced in two ways. The first way is with a short "o" at the end - Ono, which means a small rice field. And what does her surname mean when pronounced with a prolonged "o" at the end, i.e., OnOOOO? (18 out of 20 teams of high school students answered this question) 3) In pre-revolutionary Russia, it was common for the wives of exiled people to be sent into exile with them. However, in 1907, a unique case occurred: Karl Sommerfeld's wife went into exile with him (don't overthink the abstract surname). What was unique about this case? (16 out of 20 teams answered this question) Now, a question of medium difficulty. 4) In 1908, Vladimir Nabokov was already a "co-author" of many books. Surely, you, our esteemed experts, have at least once been a co-author of such a book. Which one? (8 out of 20) And now, the "coffins" (questions that no team in the hall could answer). 5) In the spring of 1978, the film "Halloween" was being filmed at Paramount Pictures. However, something in this film was not real, but made of paper and painted. What was it? 6) Some Chinese car factories have a reputation similar to that of a certain Englishman, because they produce cheap cars FOR PEOPLE WHO ARE NOT RICH, and they even manage to STEAL foreign brands. Name this Englishman; if the exact date of his birth is unknown, approximately the 12th-13th century AD. (I'm kidding - 3 teams answered this question) The wording of some questions may differ slightly, as I'm recalling them from memory.

1) In my opinion, it's Umnov. 2) A large rice field. 3) Maybe he went after her? 4) Who knows! 5) Pumpkins. 6) There's only one idea here - it's Richard the Lionheart - answered randomly!

2) 3) - correct!! Three symbols...

1. Glupov. One should have read Saltykov-Shchedrin. 2. There is a theory that these are complaint books, because Nabokov was quite a rascal, although he was still very young at the time. However, it seems that he was Vladimir Vladimirovich, i.e., the discussion could also be about his father. And he, as a political figure, could have signed various petitions en masse. 3. A crazy theory - fallen leaves. At first, I thought it was snow, but then I remembered that it was October 31st, not November. 4. A strange coffin, could it be that it's not Robin Hood?

Everything is correct... and the fallen leaves too... But it's not strange because I highlighted the word "spring" in large letters here, and somehow it just went unnoticed. Robin Hood is also correct. We've even started covering the Chinese automotive industry. And the correct answer to the question about Nabokov is very simple: COLORING BOOKS))) Didn't anyone ever color tanks in their childhood?

And the fallen leaves... But that's not strange, because here, in large letters, the word "spring" was highlighted, and somehow it just went unnoticed.

No, I didn't really pay attention to the highlighting; I was just imagining a movie, and I remember it being a very low-budget production. Or maybe I heard it somewhere; the movie is quite well-known.

And here's the correct answer to the question about Nabokov – it's very simple: COLORING BOOKS! Did no one ever color tanks in their childhood?

Personally, I didn't like coloring books, plus many on the forum have moved past that age much earlier than the schoolchildren who played this game. And, frankly, the "co-author" idea feels far-fetched. I didn't like the question, but that's just my opinion.

Vikh +1, heh, you beat me to it, I also wanted to create a thread but decided it wouldn't be successful)))
I'm also a fan, just like Wolf, and I remember one awesome question, quite difficult, but I think you can handle it)))

It goes something like this:
There's a restaurant in Moscow, and the restaurant itself is nothing special, but its toilet is surprising. It has 8 stands with toilet paper. One stand is low, with the inscription "For dwarves," another is high, with the inscription "For basketball players," another has nails and screws with the inscription "For metalheads" (hello, Exz xDDDD))), and what is written on the stand with crumpled and torn newspapers (which are supposed to be used as toilet paper)?

I'll tell you right away, the answer is not "for journalists"))) the answer is humorous, and the question is quite difficult.