Ckriman/General365_Public huggingface dataset:
Question: For the sequence 316, 37, 19, 10, ?, 1, Xiao Ming solved this problem using only squaring and addition, and he did not introduce any other numbers. What number is most likely to be in the "?" position?
Answer: \boxed{1}
Question: You are designing the first tattoo in your life. Originally, you planned to get a favorite quote tattooed on your arm to motivate yourself: "No obstacle can stop us". But after discussing with the tattoo artist, he suggested changing "us" to "me". Of course, whether to adopt this change mainly depends on your own attitude. If you think the tattoo artist's opinion is correct, how many letter "e"s will there be on your arm at this moment?
Answer: \boxed{0}
Question: LeLe and his brother are trapped in a secret room. On the wall, there are four sets of 5×5 number matrices. Pressing the correct button will open the door:
Matrix1:
21538
21009
42316
24347
34418
Matrix2:
76988
63239
80549
90458
68796
Matrix3: 
84207
61329
79878
01329
43226
Matrix4:
86978
72346
98679
90237
67898
After observing for a while, the brother noticed that the password is related to numbers greater than 5, and it is not a simple calculation problem. Then he said confidently, "I got it!"
Which of the following options is the correct number?
A. 2025
B. 1048
C. 8888
D. 1996
Answer: B
Question: There are two bowls with a diameter of 10 cm, a height (including the base) of 6 cm, and a base thickness of 2 cm; and two bowls with a diameter of 8 cm, a height (including the base) of 5 cm, and a base thickness of 1 cm. These two types of bowls are of the same style. There is also a grid with a length, width, and height of 10 cm each. What is the maximum number of bowls that can be placed in this grid?
Answer: \boxed{4}
Question: There are 16 spheres arranged in a regular 4×4 grid as follows. From top to bottom, the rows are named:Row 1: a, b, c, d; Row 2: e, f, g, h; Row 3: i, j, k, l; Row 4: m, n, o, p.Among them, the white spheres are a, b, c, d, e, f, h, i, k, m, n, and the rest are black spheres.

Now, four line segments are to be used to connect all white spheres without touching any black spheres. The requirements are: the four line segments form a continuous one-stroke drawing; each white ball can be passed through only once on the connecting path; the line segments can extend beyond the area where the spheres are located. Additionally, the starting point is specified as "a" and the ending point as "f". How many arrangement orders are there in total?
⚪⚪⚪⚪
⚪⚪⚫⚪
⚪⚫⚪⚫
⚪⚪⚫⚫
Answer: \boxed{2}
Question: On the table in a park, there is an unfinished chess game. You walk over and observe it carefully. If the leftmost column from your perspective is called Column A, and the row closest to you is called Row 1, then the two white pawns on the chessboard are located at Column B, Row 2 and Column G, Row 2; the two black pawns are located at Column B, Row 7 and Column G, Row 7.
Answer: \boxed{4}
Question: Xiao Ming and 7 of his friends (8 people in total) go for a spring outing. They have prepared 8 identical lunch boxes in total. Now, they need to put these 8 lunch boxes into 5 identical bags. The bags can be nested inside each other, all bags must be used up, and the number of lunch boxes in each bag must be an even number. How many methods are there in total?
Answer: \boxed{38}
Question: Xiao Ming has a set of numbers:
35724,
23219,
65426,
25824.
After looking at them for a long time, Xiao Ming noticed there is a connection between their corresponding digits, but after thinking for a while, he couldn't figure out what it is.
Find their pattern and determine what the next number is.
Answer: \boxed{25244}
Question: Here's how this poker game is played: All cards are divided into trump cards and side cards. There are 4 players sitting on the four sides of a square table, with players sitting opposite each other being teammates. During the card-drawing phase, the first player to throw down a 2 of any suit will make all cards of that suit trump cards, while cards of other suits become side cards. Any trump card is larger than any side card. The four 2s, four 7s, Big Joker, Small Joker, and Ace of Hearts are default trumps, not restricted by suit. Once a suit is determined as the trump suit, the 7 of that suit becomes the largest card in play, and the 2 of that suit is the largest among all 2s.

The ranking order of trump cards is: 7 (trump suit) > Ace of Hearts > Big Joker > Small Joker > other 7s > 2 (trump suit) > other 2s > Ace > King > Queen > … > 3. For the "other 7s" or "other 2s" (non-trump suit ones), the one played first is larger. The ranking order of side cards is: Ace > King > Queen > … > 3.

All 10s and Kings are point cards, with each counting as 10 points. In each round, every player plays one card in turn. Finally, the player who plays the largest card gains the right to play first in the next round; if there are point cards in the round, the points go to the side that played the largest card.
When the first player plays a side card of a certain suit, other players must play a side card of that same suit. If a player doesn't have a side card of that suit, they can discard a side card of another suit (but this discarded side card is considered the smallest) or use a trump card to "beat" it. Each team should try to prevent the opposing team from gaining points.

In this game, Player ① and Player ③ are teammates, while Player ② and Player ④ are teammates. The trump suit for this game is Hearts. So far, 22 cards have been played, including 9 Spade side cards. Each player still has 8 cards left, with their card distributions as follows:

Player ①: Ace of Hearts, 7 of Hearts, Jack of Hearts, 10 of Hearts, Ace of Spades, Jack of Clubs, 10 of Clubs, 9 of Diamonds;
Player ②: Big Joker, 2 of Hearts, Queen of Hearts, King of Spades, 8 of Clubs, King of Clubs, 10 of Diamonds, 8 of Diamonds;
Player ③: Small Joker, 7 of Clubs, 2 of Diamonds, King of Hearts, 9 of Clubs, 5 of Clubs, 6 of Diamonds, King of Diamonds;
Player ④: 7 of Diamonds, 7 of Spades, 2 of Spades, 2 of Clubs, Queen of Clubs, 10 of Diamonds, Queen of Diamonds, 4 of Diamonds.

Now, Player ① has played the Ace of Spades, and Player ② has played the King of Spades. It's Player ③'s turn to play. If Hearts represent 100, Spades represent 200, Diamonds represent 300, and Clubs represent 400, the "code number" of a card is calculated as (the number represented by its suit) + (the number represented by its rank). Here, J, Q, K, A represent 11, 12, 13, 1 respectively. What is the "code number" of Player ③'s optimal card choice in this round?
Answer: \boxed{407}
Question: A coin's bottom edge leans obliquely on the surface of a thin wooden sheet, and the thickness of the wooden sheet is √2 times the radius of the coin. Remove the wooden sheet. Under ideal conditions, toss the coin by applying a vertically upward force to its edge (assuming the coin is subject only to the applied force and gravity). If all the coin's kinetic energy is absorbed when it first lands, there is a 1/3 probability that the coin will stand upright. What is the ratio of the coin's diameter to its thickness?
Answer: \boxed{\sqrt{3}}
Question: 331, 728, ?, 744, 375, 096

When observing this set of numbers, they are related to six consecutive independent integers, and these integers are less than 20. According to the pattern, what number should fill in the "?" ?
Answer: \boxed{197}
Question: There is a 4x4 keypad, and its buttons are pressed following a certain rule. The first 15 pressed buttons are as follows:
01, 02, 12, 04,
07, 04, 21, 08,
18, 02, 13, 09,
81, 63, 12, ?

Xiao Luo is very sensitive to numbers. After observing the numbers at the 1st, 2nd, and 4th positions, he figured out the rule and solved the problem quickly. Now, according to this rule, which button should be pressed for the 16th time?
A. 23
B. 21
C. 16
D. 17
Answer: C
Question: Take a regular equilateral triangle paper and fold it along one of its midsegment each time. After folding three times, a new triangle is formed. Disregarding the limit issues of folding, how many independent small triangles will there be after folding it 48 times?
Answer: \boxed{4294967296}
Question: One day, a teacher was grading assignments. He said to the other teachers in the office, "There's a quite difficult question, and only three students got it right. Let's represent the 26 students with the 26 letters of the alphabet. Among these three letters: one is both axisymmetric and centrally symmetric; one appears on playing cards; in the alphabet, the last 3 positions of the 8th position before the 3rd letter happen to be the second letter; and the last three positions of the first letter are exactly the second letter. What are these three letters?"
Answer: HKP
Question: In a tribe, the age of a 25-year-old adult man is recorded as 221, a 30-year-old adult man as 1010, a 40-year-old adult man as 1111, a 30-year-old adult woman as 132, a 40-year-old adult woman as 220, a 50-year-old adult woman as 302, an 8-year-old child as 13, a 10-year-old child as 20, a 12-year-old child as 22, a 60-year-old elder as 140, a 70-year-old elder as 154, and an 80-year-old elder as 212. What should the age of a 25-year-old woman who is pregnant with a boy be recorded as?
Answer: \boxed{121}
Question: One night, a shooting incident occurred in a residential community. Everyone in the community was woken up, and only 4 people checked their watches immediately after waking up. The famous Detective Charles happened to live near this community. Upon learning about the case, he rushed to the scene at once. After investigating the scene, he questioned the 4 people. They described the time when the suspect committed the crime as follows:
1. 12:20
2. 12:15
3. 12:10
4. 12:05
Could the crime time really be so inconsistent? Actually, this was because their watches were all inaccurate. One person's watch was 10 minutes fast, another's was 5 minutes fast, and the conditions of the other two watches were forgotten. What was the accurate time of the crime?
Answer: 12 o'clock
Question: There are two types of boxes: large boxes and small boxes, and two types of balls: yellow balls and black balls. These two types of balls are placed in the two types of boxes respectively, with one box holding only one color of balls. Five people-A, B, C, D, and E-each have their own statements:
A: All large boxes contain yellow balls, or all small boxes contain black balls.
B: No large boxes contain yellow balls, or no small boxes contain black balls.
C: Some large boxes contain yellow balls, and some small boxes contain black balls.
D: Some large boxes do not contain yellow balls, and some small boxes do not contain black balls.
E: Some large boxes contain yellow balls, or some small boxes contain black balls.
It is known that only two of them told the truth. Question: Who must have told a lie?
Answer: ACE
Question: There is a cart driver herding a donkey-drawn cart. At the first stop, 2 people got off; at the second stop, 4 people got on and 2 people got off; at the third stop, 3 people got on. No one gets on and then off, or off and then on, at the same stop. If a person gets off, the items they carry will also get off.
Everyone who got on at the second stop brought 7 bags, with one one-legged chicken in each bag. Everyone who got on at the third stop brought 8 bags, with one lop-eared rabbit in each bag. The driver thought one donkey was not enough, so he added two more. On the way, they encountered 3 big cats; each big cat was accompanied by 9 small cats, and each small cat carried 9 small mice as rations.
There are 1266 seats inside the donkey cart. Excluding the legs of the seats, question: What is the minimum number of legs of living creatures on this donkey cart (including the cart itself)?
Answer: \boxed{152}
Question: Xiao Ming encountered a difficult problem: 1, 2, 3, 4, 10, 2, 3, 5, 7, 29, 9, a, b, 2, 38, 3, 1, 9, 7, 30, 4, 6, 5, 9, 66. After consulting an expert, the expert told him that this problem requires discussion by grouping.
Then, under the condition that a < 10, how many possible values does a + b have?
Answer: \boxed{3}
Question: When I was playing an escape room, there was a level like this: in front of me, there were 5 options, and only one of them was the correct choice leading to the next level. I had to select the correct option; otherwise, I couldn't pass the level. Each option had a sentence written on it:
Option A: The correct option is either Option B or Option C.
Option B: The correct option is either Option D or Option E.
Option C: This option is not the correct one.
Option D: Neither Option A nor Option B is the correct option.
Option E: The option(s) that tell the truth (among the above) are not the correct option(s).
How many possible combinations of truth-telling options are there?
Answer: \boxed{5}
Question: A, B, C, D, E, F, and G are playing a killer game together. The current rules are as follows:
A must kill one of B, C, and F;
B must kill one of A, C, and E;
C must kill one of A, B, and F;
D must kill one of A, C, and E;
E must kill one of F and G;
F must kill one of E and G;
G can kill any one of the others.
The killing order is specified as G → A → B → C → D → E → F in sequence. Those who are killed are eliminated immediately and do not participate in the subsequent killing order. A, B, C, and D prioritize self-preservation, while E and F take killing G as their main goal.
Who must G kill first to ensure they are not killed?
Answer: E
Question: Xiao Hong and her friends were playing a game, and they set a specific algorithm: 5+6=21, 5+7=22, 5+8=23, 5+9=24, 5+10=30, 5+11=31. Xiao Hong said, "The second number is just there to confuse you." Question: According to this algorithm, if 5+b=34 and 5+21=a, what is a−b?
Answer: \boxed{-37}
Question: During the Qingming Festival, my friend came to visit me. He took the high-speed train, and after he got off, I asked him if there were many people on the train. He said that although there were a lot of people that day, everyone followed the rules, got on and off the train politely, and the experience was quite good.
At the first stop, 30 people got on and 50 got off; at the second stop, 70 got on and 120 got off; at the third stop, 135 got on and 64 got off; at the fourth stop, 90 got on and 60 got off; at the fifth stop, 40 got on and 30 got off; at the sixth stop, 150 got on and 50 got off. What is the minimum number of passengers remaining on the train?
Answer: \boxed{281}
Question: A terrifying giant dragon took the princess away, so the brave warrior embarked on a journey to rescue her. After traversing mountains, rivers, lakes, and seas, the warrior arrived at a stone wall. On it was written: "Brave one, I admire your perseverance, but you cannot find me with just strength. If you can crack this code, I will return the princess to you. - The Demon King." The warrior saw a series of numbers written on the stone wall:
/    3      5 
4     /     9 
2      / 
/  /    8 
/  /  / 
/      3

The warrior seemed to have no talent for deciphering codes and sat in front of the stone wall for a long time...
One day, an old man passed by. When he saw the numbers on the stone wall, he clapped his hands and exclaimed, "Brilliant! Absolutely brilliant!" The warrior hurried over to ask for help, and the old man told him the specific numbers did not matter and covered them with a few dots. Thus, the warrior cracked the code, obtained a word, and rescued the princess. So, how is this code solved?
Answer: dragon
Question: Police officer Wu Ming received a mission: to monitor a drug dealer and identify their contact person. It was said the meeting spot was a restaurant-very noisy with no surveillance. That night, the drug dealer had contact with 5 people there, but Wu Ming couldn't tell who the contact was. However, he later received word that the two had successfully made contact. Wu Ming began to recall what happened that night.
The first person was Person A, who was playing cards outside the restaurant. The drug dealer walked over to watch them play and said a few words.
Next, the drug dealer went to the square. The square was lively, with people dancing everywhere. The drug dealer greeted several people; the environment was so noisy that Wu Ming could only tell from the drug dealer's mouth shape that they said, "Is it you?"
One was an aunt who was seriously dancing and ignored the drug dealer.
One was a woman holding a baby, who replied, "What?"
One was a young person wearing headphones, sitting by the roadside and staring at their phone the whole time, who replied, "It's not me."
One was a child holding a toy gun, who replied, "What is it?"
The drug dealer seemed to not find the contact and left. Who is most likely the contact person?
Answer: the young person
Question: During training, you are the commander. Among your subordinates, there is a army corps commander aged 64, a regiment commander aged 44, and a platoon leader aged 24. Can you guess how old the commander is this year?
Answer: Yes
Question: Grandpa has two clocks with fixed rotation speeds. Clock A is accurate only once every two years, while Clock B is accurate twice a day. Grandpa asked Xiao Ming which clock he wanted. If you were Xiao Ming and had to choose one clock to tell the time, which letter-labeled clock should you pick?
Answer: A
Question: A person has 240 kilograms of water and wants to transport it to an arid region to make money. He can carry a maximum of 60 kilograms at a time, and consumes 1 kilogram of water per kilometer traveled (water consumption is uniform). Assume the price of water is 0 at the departure point, and the price is proportional to the transportation distance (i.e., 10 yuan per kilogram at 10 kilometers, 20 yuan per kilogram at 20 kilometers, ...).  Once he stops, apart from the water reserved to ensure a safe return, all remaining water must be sold out. It is also assumed that he must return safely. What is the maximum amount of money he can earn?
Answer: \boxed{1800}
Question: Liu Lao, Li Lao, Song Lao, and Zhang Lao are four good buddies. Coincidentally, each of their families has a pair of twin daughters. The elder sisters are Ⅰ, Ⅱ, Ⅲ, and Ⅳ respectively, and the younger sisters are 1, 2, 3, and 4 respectively. One day, another friend Wang Lao came to visit Li Lao, and by chance, the other three were also there with their daughters. Seeing the 8 girls, Wang Lao asked, "Who are sisters with whom?"
Ⅰ said: "Ⅱ's younger sister is not 1."
Ⅱ said: "Ⅲ's younger sister is not 2."
Ⅲ said: "Ⅳ's younger sister is not 1."
Ⅳ said: "Among the three of them, only the elder sister of 4 is telling the truth."

It is known that only two of the four people told the truth. How many possible sister pairings are there?
Answer: \boxed{11}
Question: Xiao A, Xiao B, and Xiao C traveled together. In the evening, they were assigned three adjacent rooms arranged in a horizontal row, satisfying the following relationships:

1. All three like playing cards-either poker or UNO; all like cold drinks-either iced tea or milk tea; all like alcohol-either red wine or whiskey.
2. Xiao A lives next to the person who drinks red wine; Xiao B lives next to the person who likes poker; Xiao C lives next to the person who likes poker.
3. No one who likes whiskey likes milk tea; one person who likes UNO likes whiskey.
4. At least one person who likes iced tea lives next to at least one person who likes poker.
5. The number of common hobbies among any two people does not exceed one.
How many possible combinations of the three people's hobbies are there?
Answer: \boxed{2}
Question: Old Zhang's family is renowned for its extravagance, boasting a collection of numerous antique calligraphies, paintings, and rare treasures. However, these are not the most famous items. What is most celebrated in his home are the 50 turquoise stones and 50 rubies that he spent a fortune collecting from various regions many years ago. On one hand, he has confidence in the security measures of his home; on the other hand, adhering to the philosophy that the most dangerous place is the safest, he placed the box containing the gems in his wife's dressing room. His wife has a particular fondness for red and green, and the dressing room features two wardrobes: one filled entirely with red garments, totaling 20 pieces, and the other with green garments, also totaling 20 pieces.
That day, upon returning home, Old Zhang went to inspect his gems, only to discover that they had all vanished without a trace. The clothes in his wife's wardrobes remained neatly organized, except that the wardrobe originally containing red clothes was now filled with green ones, and the wardrobe originally containing green clothes was now filled with red ones.
After Old Zhang reported the incident to the police, half a day later, the authorities identified three suspects who were familiar with his wife's dressing habits and the layout of the dressing room. The police inquired about who among them is red-green colorblind. Suspect A is not red-green colorblind but accused Suspect B of being red-green colorblind. Although Suspect C is also a red-green colorblind individual, he has an alibi. Additionally, Suspect B is a well-known gem enthusiast.
Who is most likely to have stolen the gems?
Answer: A
Question: There is a circular town with circular roads forming four concentric circles, labeled S1, S2, S3, and S4 from the outermost to the innermost. These four concentric circles are connected by four straight radial roads, positioned due east, due west, due south, and due north. There are no roads inside S4.
Due to construction, the segment from the northern S2 to the eastern S2 is closed from 9:00 to 18:00. From 10:00 to 14:00, the segment from the southern S3 to the eastern S3 is closed, and the segment from the eastern S3 to the eastern S4 is also closed. From 13:00 to 18:00, the entire western radial road is closed, preventing vehicles from traveling on the western S2 and western S3. Additionally, an excavator is permanently stationed on the segment from the northern S4 to the eastern S4.
At 13:00 noon, Xiaoming needs to travel from the northern S2 to the southern S3 and is in a hurry. What route should he take? (Please describe the final route in a format similar to "West S4 - North S4 - ......".)
Answer: North S2 - North S3 - North S4 - West S4 - South S4 - South S3
Question: A password must consist of 6 digits and 3 letters, and these digits and letters must satisfy certain conditions to ensure the password's robustness.  
1. The password cannot contain consecutive digits or letters.  
2. The letters must include both uppercase and lowercase, and if the previous letter is uppercase, the next letter must be lowercase; the first letter cannot be uppercase.  
3. If the digit 1 appears, the digit 4 must also appear; if the digit 4 appears, the digit 7 cannot appear; if the digit 4 appears, it must be in the fourth position among the digits.  
4. The digits 5 and 6 cannot both appear unless the digit 9 is present, in which case 9 must be positioned between 5 and 6.  
5. The sum of all digits must either be less than 20 or greater than 30; it cannot be between 20 and 30 (inclusive).  
6. If one 2 appears, the digit 1 cannot appear; if two 2s appear, the digit 7 cannot appear.  
7. The digit 3 cannot be the first or the last digit; if both 3 and 9 appear, then 9 must be the first digit.  
8. My name is Kim, and the three letters must be related to my name.  
9. The fifth digit must be greater than the third digit, and the second digit must be less than the third digit.  
10. The first digit must be greater than the subsequent five digits.  
11. The sum of the sixth digit and the fourth digit must be 8.  
12. When the digit 8 appears, the digit 4 becomes 6.  
Which of the following satisfies these conditions?  
A. kim935078  
B. kIm601434  
C. mI907682K  
D. k935iM870
Answer: D
Question: On an 8×8 chessboard, black and white stones are placed. What is the minimal number of white stones required to ensure that, no matter how many black stones are subsequently placed on the remaining squares, no five consecutive black stones will form in any row, column, or diagonal?
Answer: \boxed{12}
Question: The club will soon hold a stationary martial arts performance. It is known that the routine is synchronized and involves slight movements in a specific direction. If there is a minimum interval of 1 meter between individuals, this ensures that everyone has sufficient space to move during the performance
﻿If 36 people need to perform on a rectangular stage, what is the minimum area of the stage in square meters to ensure there is enough space for the performance?
Answer: \boxed{49}
Question: There are four couples. Zhang (32 years old) attended Zhao's (31 years old) wedding and gave a gift. Xu (33 years old), Jiang (34 years old), and Yang (35 years old) also attended Zhao's wedding. Li's (36 years old) spouse is the older male cousin on the mother's side of Hong's (37 years old) spouse. When the Hong couple quarreled with their neighbors, Xu, Zhang, Wang (38 years old), and Li came to help, among whom there was one couple who were relatives of the Hong couple. Li, Xu, and Zhang lived in the same dormitory at school. Jiang and Li's spouse participated together in a mixed doubles table tennis match. Aside from spousal and in-law relationships, only two of the eight people are related. What is the sum of the products of the ages of each couple?
Answer: \boxed{4769}
Question: There are two types of pieces, black and white, with the same proportion of each type. There are three chess boxes: A, B, and C. The number of pieces in Box A is not less than that in Box B. In box C, there are more black pieces than white pieces. So, which color has more pieces in box A?
A: Black pieces are more;
B: White pieces are more;
C: Black and white pieces are equal in number;
D: Cannot be determined;
Answer: D
Question: There are 24 identical blocks of wood on the table, but one of them differs in weight from the others. We have only an empty balance scale without a scale mark, and we do not know whether the anomalous block is heavier or lighter. In the worst-case scenario, it takes exactly four weighings to identify the anomalous block, and the first two weighings cumulatively place 16 blocks on the left side of the scale. How many blocks are cumulatively placed on the left side of the scale after all four weighings?
Answer: \boxed{20}
Question: Five players, A, B, C, D, and M, participate in a chess tournament where each pair of players must play exactly one game against each other. So far, A has played 4 games, B has played 3 games, C has played 2 games, and D has played no more than 2 games. How many games has M played?A: 1, B: 1 or 2, C: 1, 2, or 3, D: 2 or 3, E: 1 or 3, F: 2, G: 3
Answer: C
Question: Li: the difference in days between the day two days before the day I went up the mountain and the day two days after the day Wang went up the mountain is maximized, and these two days are also in the same week. Wang and Li went up the mountain on the a-th and b-th days of that week, respectively. What is the value of a^b?
Answer: \boxed{125}
Question: A uniformly sized long tube with openings at both ends. Inside the tube, there are 2 white balls and 2 black balls, and the diameters of these 4 balls are equal to the inner diameter of the tube. Let H denote a black ball and B denote a white ball. The arrangement of the black and white balls is as follows: HBHB. The tube can be cut and reconnected. How many different cutting ways are there to form an arrangement of HBBH without removing the balls?
Answer: \boxed{5}
Question: A, B, and C each received a number poker card, and the sum of their numbers is 16. Each knows only their own number and not the others'. A says: The numbers of B and C must be different. B says: My number is different from A's. C says: Then I know what your numbers are. So, what is B's number?
Answer: \boxed{9}
Question: Xiaoyi came across an interesting problem. She tried ranking by population and by total area, but both attempts failed. She thought, perhaps both of these failed approaches still have their merits? Do you know what the result is?
Please answer the number represented by the question mark.
① Australia ^ Brazil = 7776
② India - Canada = 5
③ China + United States = 7
Argentina * Kazakhstan = ?
Answer: \boxed{72}
Question: Game Rules:  
A 5-digit number with no repeated digits.  
After submitting a guess, two values, A and B, are returned:  
A represents the number of digits in the guess that are both correct in value and position.  
B represents the number of digits in the guess that are correct in value but incorrect in position.  
Example: If the answer is 12345 and the guess is 23546, the result is 1A3B.  
Problem: 
First round: 97560--0A3B  
Second round: 64213--0A3B  
Third round: 78926--0A3B  
Fourth round: 51492--0A3B  
Fifth round: 35267--?  
What is the most appropriate output for the question mark?
A. 0A3B
B. 1A2B
C. 0A4B
D. 2A3B
Answer: C
Question: Da Li, Gou Wang, and Shi Tou, three young friends, are playing a number-guessing game together. Gou Wang uses two small pieces of paper and writes a number on each. Da Li and Shi Tou know that these two numbers are positive integers with a difference of 2. Da Li and Shi Tou sit back to back, and Gou Wang pastes one piece of paper on Da Li's forehead and the other on Shi Tou's forehead. As a result, neither can see the number on the other's forehead. Gou Wang tells them that one of their numbers is 5. Gou Wang then takes turns asking them about the number on their own head, and they publicly take turns stating their guesses. Once both report the correct numbers in a single round, Gou Wang will announce that the game has ended. What is the minimal number of rounds required to guarantee that the game will end?
Answer: \boxed{4}
Question: There are 18 iron rings welded into a long chain, with a weld point between every two adjacent rings. Only two weld points can be broken in total. The requirement is that you can only remove 3 iron rings from it each day. According to this rule, divide the long chain into 3 short chains, with the number of rings in each short chain from largest to smallest being a, b, c respectively. What is the value of a^b+c?
Answer: \boxed{531444}
Question: In a peculiar village with a total of 100 people, consisting of both adults and children, children always tell the truth while adults always lie. One day, a stranger arrives in the village and asks the villagers, "How many adults are there in your village?" The first 11 villagers respond in turn with the number: (n \mod 11) + 89, where n denotes the position of the n-th villager being asked. The stranger then asks, "How many children are there in the village?" The 12th villager responds, "The number of children is a two-digit number." What is the sum of all possible numbers of adults in the village?
Answer: \boxed{4895}
Question: The homeroom teacher said in his class: There are 51 people in the classroom now. Two new students will transfer in tomorrow. How many students will there be after tomorrow?
Answer: \boxed{52}
Question: In a certain party game, 30 people are required to sit in a clockwise circle and label the seats from 1 to 30. Starting with the person in seat 1, he picks up the baton, stands up from his position, and then moves clockwise around the outside of the circle, skipping x players to reach the position of the player after the Xth one. He passes the baton to the player in that spot and takes that player's seat, causing the recipient to stand up and continue passing the baton and switching positions in the same manner. This process continues in a loop. If in this game, the value of the interval x equals the total number of people who have touched the baton up to that point, when the baton's movement path has just completed exactly 3 full laps around the entire group, how many positions have had no more than one person sitting there?
Answer: \boxed{20}
Question: You are given the following ten statements and are required to determine a specific number.
1. At least one of statements 8 and 9 is true.
2. This is either the first true statement or the first false statement.
3. The difference between the last true statement's number and the first true statement's number divides the specific number.
4. The sum of the numbers of all true statements is greater than this statement's number.
5. This is not the last true statement.
6. The number of each true statement divides this statement's number.
7. There are three consecutive true statements.
8. The number of divisors of the specific number is less than the sum of the numbers of the true statements.
9. This is not the last false statement.
10. There are no three consecutive false statements.
What is the most likely value for this specific number?
A. 17
B. 18
C. 25
D. 32
E. 78
Answer: D
Question: A class consists of 10 children, each of whom has some best friends.  
To simplify the problem, we refer to each child by the initial letter of their name.  
The following is the list of each child's best friends:  
A: (K, G)  
B: (K, H, D)  
C: (K, I, J)  
D: (B, G, J)  
E: (K, H)  
F: (G, I)  
G: (F, D, A)  
H: (E, B)  
I: (C, F)  
J: (C, I, K, D)  
K: (A, E, B, C, J)  
One day, all children except A are outside the classroom.  
Then, the teacher asks A to call one of his best friends into the classroom, and the next child calls one of their best friends, and so on.  
After all the calls are completed, no children remain outside, the fifth child called is C, and K is the last child called. (Each child can only be called once.)  
Who is the third-to-last child called?
Answer: H
Question: [Non-Integer Sequence]
Find the missing number according to the pattern.
⚫⚫⚫⚫⚫=11
⚪⚫⚫⚫⚫=11
⚪⚫⚪⚫⚫=13
⚪⚫⚪⚫⚪=17
⚫⚫⚫⚪⚪=20
⚫⚪⚫⚫⚪=?
Xiaoming looked at it and said: The white ball might not be a fixed number.
Xiaohong looked at it and said: It might be related to the row number.
Xiaopang looked at it and said: The black ball is definitely a fixed number.
Which option is the final result?
A. 19
B. 20
C. 21
D. 22
Answer: A
Question: Xiaoming wants to organize the scattered balls.  
Initial positions numbered 1, 2, 3, 4, 5, 6:  
⚫⚪⚫⚪⚫⚪  
Target positions numbered 7, 8, 9, 10, 11, 12:  
⚪⚪⚪⚫⚫⚫  
Rules:  
Each step involves picking up two mutually adjacent balls that are in contact and translating them to another position (which must be available position-note that there is no space between any two contacting balls, and they can only be moved to empty positions). This counts as one step (the two picked-up balls must remain in contact during the movement, with their left-to-right order unchanged and without reversal).  
What is the minimum number of steps required?
Answer: \boxed{4}
Question: You are the captain of a small cruise ship. While sailing, you suddenly encounter severe weather with strong winds and high waves. Concerned about the passengers' emotions, you decide to check on each cabin and offer comfort as soon as the storm subsides. However, you discover that one passenger has been brutally shot and killed in the room. Due to the loud winds, no one heard any suspicious sounds. Therefore, you proceed to question the people in the rooms surrounding the victim.
A, wearing pajamas, says: Whenever we reach a scenic spot, I focus intently on recording it, which leaves me quite exhausted. I can only seize the limited time to rest, so I know nothing about this... After hearing this, you fall into deep thought.
B says: Although I'm on vacation, the publisher's editor is pressing me hard for the manuscript, so I'm using this vacation time to write. The changing weather with storms has given me a lot of inspiration... You glance at B's manuscript; the handwriting is neat and clear, the writing is eloquent and impressive. Indeed, it's a fine piece.
C says: This dreadful weather is making me feel awful; I don't know when I started getting seasick... You notice C's pale complexion.
D says: I enjoy shooting games, so I've been playing FPS games all along... You look at D's room; the game screen is still open.
Who might have lied?
Answer: B
Question: In Hulunbuir, which had just received a heavy snowfall, A killed a stranger who had stayed at his home. To avoid suspicion, he quickly carried the dead person to the neighbor's vegetable garden and then went home to report that a body had been found (the routes taken were not completely overlapping). To further deceive people, after reporting the incident, he also extended the footprints behind the door several hundred meters to the back door of another household. After the police conducted a thorough investigation, they found that no one had seen this stranger. Then the police told A:You are the murderer. Can you tell me why this judgment was made?
Answer: The depths of the footprints are different
Question: In the Marvel Universe, there are five superheroes: Iron Man, Thor, Captain America, Black Widow, and Doctor Strange. Each possesses a unique ability - Iron Man's armor technology, Thor's thunder power, Captain America's shield tactics, Black Widow's espionage skills, and Doctor Strange's magical knowledge. These five abilities have been passed down to five individuals: A, B, C, D, and E. They agree to learn from one another. After everyone has mastered their own skills, they will start learning the abilities of the other four members. The learning difficulty for all abilities and the aptitude of all individuals are identical, so they all master and exchange abilities in synchronized rounds. After four rounds of exchanges, each person has mastered all five abilities.
The learning sequence follows these rules:
The fifth ability A mastered was the second ability B mastered.
The fifth ability C mastered was the fourth ability B mastered.
The second ability C mastered was the first ability A mastered.
The fifth ability D mastered was the third ability C mastered.
The fourth ability B mastered was the same as the third ability E mastered.
The third ability D mastered was the same as the first ability C mastered.
Suppose the abilities that A, B, C, D, and E mastered last are Armor Technology, Thunder Power, Shield Tactics, Espionage Skills, and Magical Knowledge, respectively.
Question: For each person (A, B, C, D, E), what was the fourth ability they mastered? (Answer format reference: "A: xxx, B: xxx, C: xxx, D: xxx, E: xxx")
Answer: A:espionage skills,B:shield tactics,C:thunder power,D:magical knowledge,E:armor technology
Question: Phantom Thief SK likes to send a warning before striking, and here is the latest letter:
"To Black Cat:
When the sky is filled with stars, when the twin nights meet.
Caesar brings me the key; the fence relays the news.
CROQKDQBO, ILFBFEMXI.
-Phantom Thief SK"
After reading it, Black Cat consults the famous unnamed detective, who deciphers the contents. What time and gemstone are indicated?
A. 10.30, midnight, Dzi bead
B. 10.30, midnight, Starlight Rhodochrosite
C. 10.30, midnight, Alara Pearl
D. 10.30, midnight, Fluorite Night Pearl
Answer: D
Question: While volunteering during the summer, I met five local children and bought 28 candies to share. The children finished all the candies, with each child taking one turn in an unknown order.
Xiaohong said, "I ate half of what was left." Xiaoqing said, "I ate two-thirds of what was left." Xiaomei said, "I finished what remained." Xiaoli said, "I ate half of what was left." Xiaoqi said, "Each of us ate an integer amount, and no two amounts are the same." How many of the possible amounts Xiaoqi ate are divisible by 4?
Answer: \boxed{3}
Question: Xiaoming accidentally enters a maze. He stands on the letter T and may move one letter at a time in any direction, visiting each position only once; he may also make a single jump to any previously unvisited position. Which final password is most likely formed?
T  A  V  I  S  A
H  D  R  K  L  P
E  G  O  M  N  P
P  Q  W  Y  U  L
A  S  S  B  E  E
A. apple
B. 69
C. bee
D. HL
E. 89
Answer: A
Question: In class, the teacher presented the sequence:
 □●◇▽■■■▽□◉▲▼, 
■■☆▲▼○○□○, ○●●●●☆■○▼●◣, ○_______? 
Which option should fill the blank so that the pattern holds? 
Xiaoming believes it relates to colors; Xiaotang believes it depends on angles; the teacher said, "You both make sense."
A. ▲▼▲▼▽□▽□
B. ○○■○▼●◣
C. ■■■●●●
D. ▽●▽▲●◣○○○
Answer: D
Question: At King Zhou's invitation, the states of Qin, Zhao, Chu, Yan, and Qi each dispatched an envoy to court. The five envoys were arranged from left to right in the hall, but the order of their positions is unknown. Known facts:
1. Envoy C arrived by boat.
2. Envoy E wears gray.
3. Envoy B quenched his thirst with wine on the journey.
4. Envoy D comes from Yan.
5. The envoy who traveled on foot drinks river water.
6. The walker stands immediately to the left of the envoy who rode a donkey.
7. The Chu envoy wears yellow.
8. The envoy who arrived by carriage is from Qin.
9. The envoy in the middle drinks well water.
10. The envoy from Qi drinks dew.
11. Envoy A stands at the far left beside the envoy who rode a horse.
12. The envoy from Zhao stands next to the envoy dressed in white.
13. The envoy in red stands next to the Qin envoy.
14. The envoy from Zhao stands next to the tea drinker.
Question: In the order A through E, what does each envoy drink? (Answer in the format "well water, dew, wine, tea, river water".)
Answer: Tea, wine, well water, river water, dew.
Question: A burglary occurred during the bitter Siberian winter. The victim's door showed no damage or sign of being opened, yet a window-pane lay shattered. Police concluded the thief must have thrown a heavy object from outside to break the glass before entering. A neighbor 100 meters away recalled hearing a noise the previous night but paid no attention. Only broken glass was found at the scene. Assuming the thief neither cleaned up afterward nor removed the tool, what most likely smashed the glass?
A. large block of ice  B. stone  C. glass  D. iron ball  E. shovel  F. frozen pear  G. nut
Answer: C
Question: On Friday night, Emily and her 5 roommates were chatting in the pavilion. Each of them wore a different color, brought a type of snack, and ordered a drink. The six of them sat in two rows facing each other across a long table, three people per row. Known facts include: 1. The person who brought chips ordered cola. 2. Emily is wearing pink. 3. The person who ordered an iced Americano sits directly opposite Grace. 4. The person wearing black sits directly opposite the person who brought beef jerky. 5. The person who brought chips sits in the middle. 6. The person wearing green is sitting opposite Tina. 7. The person who ordered a milkshake is sitting next to the person who ordered lemonade. 8. Kiki brought chocolate. 9. The person who brought candy sits directly opposite Emily. 10. The person who brought chicken wings is not wearing white. 11. The person who ordered a latte is wearing white. 12. The person to the right of Mia brought beef jerky. 13. The person who brought chicken wings is sitting to the right of the person wearing blue. 14. Kiki and Tina are not sitting next to each other. 15. Tina ordered a milkshake. 16. Emily's left-hand neighbor is wearing green. 17. Milly did not bring candy. Who ordered a latte? Who is wearing gray? (Answer format reference: "Emily, Tina")
Answer: Kiki,Milly
Question: An explorer got lost in a desert oasis and discovered three girls wearing different colored headscarves (red, blue, and green). Two of them were twin sisters, and the other was a cousin. Known facts: 1. The elder sister told the truth in the morning and lied in the afternoon, while the younger sister did the opposite. 2. The cousin told random truths or lies throughout the day. The explorer recorded the following conversation: He asked: "Who among you is the elder sister?" Red headscarf replied: "I am the elder twin sister or the green headscarf is the cousin." Blue headscarf replied: "She is not the elder sister." Green headscarf replied: "I am not the elder sister." What possible situations could there be for the time and the identities of the three people? Please list all possible occasions (refer to the answer format within the quotation marks for the answers: "Time: morning; Red headscarf: elder sister; Green headscarf: younger sister; Blue headscarf: cousin").
Answer: Situation 1: Time: Morning; Red headscarf: Elder Sister; Blue headscarf: Younger Sister; Green headscarf: Cousin.
Question: Six friends-Xiao Zhao, Xiao Qian, Xiao Sun, Xiao Li, Xiao Zhou, and Xiao Wu-each bought a different item: a coat, scarf, gloves, sweater, boots, or backpack. Everyone made two statements; exactly one person told only the truth, exactly one person lied entirely, and the remaining four told one truth and one lie. Determine how many different assignment possibilities remain.
Statements:
Xiao Zhao: Xiao Qian bought the sweater; Xiao Li did not buy the scarf.
Xiao Qian: Xiao Sun bought the gloves; Xiao Zhou did not buy the boots.
Xiao Sun: Xiao Li bought the scarf; Xiao Zhao did not buy the coat.
Xiao Li: Xiao Zhou bought the boots; Xiao Wu did not buy the backpack.
Xiao Zhou: Xiao Wu bought the backpack; Xiao Sun did not buy the gloves.
Xiao Wu: Xiao Zhao bought the coat; Xiao Qian did not buy the sweater.
How many total possibilities fit these conditions?
Answer: \boxed{324}
Question: On a c, it is known that: there are 4 people consisting of fathers and children, 4 people consisting of mothers and children, and four full siblings (sharing both parents). Assuming there is only one father on board, what is the minimum number of people who must be on the boat? (No close-relative marriages exist, and each person is counted only once per relationship type.)
Answer: \boxed{7}
Question: During a festival on Green Apple Island, 2,025 people celebrate. Some pairs of people clink glasses with each other; others do not. By the end of the celebration, it is observed that for any two people on the island, there is a third person who clinked glasses with both of them. Under these conditions, what is the minimum number of distinct clinks that must have occurred?
Answer: \boxed{3036}
Question: A king boasted of his wealth to a foreign scholar. The scholar replied, "Here is a standard 19-by-19 Go board. Grant me enough rice to fill the board so that the first square contains one grain, the second square two grains, the third square four grains, the fourth square eight grains, and so on, doubling in each successive square until the final square." According to this rule, the king must part with at least 2^n − 1 grains of rice. What is the value of n?
Answer: \boxed{324}
Question: Students Xiao Hong, Xiao Zhang, Xiao Li, and Xiao Tong were called to the teacher's office by their mentor to announce that they excelled in a laboratory skills competition. Two of them scored 95, and the other two scored 85. The mentor showed Xiao Hong the scores of Xiao Zhang and Xiao Li, showed Xiao Zhang the score of Xiao Tong, and showed Xiao Tong the score of Xiao Li. Finally Xiao Hong said, "I don't know my score." Let a be the number of people who can deduce their own score. What is the value of a?
Answer: \boxed{0}
Question: In a shopping street, an armed robbery occurred, and 8 witnesses each provided two characteristic descriptions. It is known that only one of the descriptions from each witness is true. Based on the following testimonies, deduce the true characteristics of the suspect: 1. The suspect was wearing a leather jacket and is shorter than 180 cm; 2. The suspect was wearing leather shoes and is bald; 3. Wears blue pants and sports shoes; 4. Wearing a leather jacket and has short hair; 5. Taller than 180 cm and left-handed; 6. Wears black pants and has dyed silver-white hair; 7. Has coffee-colored hair and is right-handed.
Among the suspect's top, shoes, pants, hairstyle, height, and dominant hand characteristics, how many are certain information?
Answer: \boxed{3}
Question: On Red Apple Island, every night when darkness falls, a ritual is held. The island has 8,000 inhabitants, and each ceremony involves either one participant or two. Of course, everyone has attended the ritual, and each person has attended a different number of times, ranging from 0 to 8,000. No individual attends alone more than once, and no two ceremonies have exactly the same participant set. What is the minimum number of people who have attended the ceremony alone?
Answer: \boxed{4000}