Basic questions:

1. How to ask a question?

There are two people, A and B. Among them, A only tells lies but not the truth; B only tells the truth and never tells lies. However, when answering other people's questions, the two of them only nodded and shook their heads without speaking. One day, a person faced two roads: A and B. One of them led to the capital, and the other led to a small village. At this time, there are two people, A and B, standing in front of him, but he does not know whether this person is A or B, nor does he know whether "nodding" means "yes" or "no". Now, he had to ask a question before he could determine which road led to the capital. So, how should this question be asked?

2. What are their occupations?

Xiao Wang, Xiao Zhang, and Xiao Zhao are good friends. One of them went into business, one was admitted to a key university, and one joined the army. In addition, they also know the following conditions: Xiao Zhao is older than the soldier; the college student is younger than Xiao Zhang; Xiao Wang's age is different from the college student's age. Please tell me who is the businessman among these three people? Who are college students? Who are the soldiers?

3. Who got it right?

Three people A, B, and C were doing homework together. There was a difficult math problem. When all three of them gave their solutions, A said: "I did it wrong." Said: "A did it right." C said: "I did it wrong." Ding who was on the side saw their answers and listened to their opinions and said: "One of you three did it right, and one of you did it right." That's right." Excuse me, who among the three did it right?

4． The color of shoes

Xiaoli bought a pair of beautiful shoes. None of her classmates had seen this pair of shoes before, so everyone guessed. Xiaohong said: "The shoes you bought will not be red. "Xiaocai said: "The shoes you bought are either yellow or black." Xiaoling said: "The shoes you bought must be black." At least one of these three people's opinions is correct. Wrong. Excuse me, what color are Xiaoli’s shoes?

5. Who stole the fruits and snacks?

Ms. Zhao bought some fruits and snacks to visit a friend. Unexpectedly, these fruits and snacks were eaten by his sons, but she did not know which son. For this reason, Ms. Zhao was very angry and asked her four sons who had stolen fruits and snacks. The eldest brother said: "The second child ate it." The second child said: "The fourth child ate it secretly." The third child said: "I didn't eat it secretly anyway." The fourth child said: "The second child is lying." The four Only one of the sons told the truth, the other three were all lying. So, who secretly ate these fruits and snacks?

6. Who is lying and who took the change?

After my sister came back from shopping for groceries, she put some change in her hand in the drawer. However, when she went to get money to buy groceries in the afternoon, she found that the change in the drawer was gone, so , she called her three sisters over and asked them if they had taken the change in the drawer. A said: "I did. I went to buy snacks at noon." B said: "I saw A took it." C said : "In short, neither B nor I took it." One of these three people is lying, so who is lying? Who took the change?

7. Where is the Night Pearl?

A man lost his luminous pearl, so he began to look for it everywhere. One day, he came to the mountain and saw three huts, No. 1, No. 2, and No. 3. A woman came out of each of these three huts. The woman in House No. 1 said: "Ye Mingzhu is not in this house." The woman in House No. 2 said: "Ye Mingzhu is in House No. 1." The woman in House No. 3 said: " Ye Mingzhu is not in this room.

"Of these three women, only one of them told the truth. So, who told the truth? In which room is Ye Mingzhu?

8. Who has better grades

Lingling and Fangfang often play together. Once, someone asked them: "You two often play together, which one of you has a better score in this final exam?" Lingling said: "My grades are better." "Xiaohong said Fangfang said: "My grades are relatively poor. "At least one of them did not tell the truth. So, which one of them had better test scores?

9. What did they buy?

Xiaoli, Xiaoling Xiaojuan and Xiaojuan went shopping together. They all bought what they needed, including hats, hairpins, skirts, gloves, etc., and one person asked them all to buy different things. What, Xiaoli said: "What Xiaoling bought was not gloves, and what Xiaojuan bought was not hairpins. Xiaoling said: "What Xiaoli bought was not a hairpin, and what Xiaojuan bought was not a skirt." "Xiaojuan said: "Xiaoli didn't buy a hat, Xiaojuan bought a skirt. "What each of the three of them said was half true and half false. So, what did they buy?

10. Who stole the cheese

Four little mice went out to steal food (they all stole food). When they came back, the leader asked them what food they had stolen. Mouse A said: Each of us stole cheese. Mouse B said: I only stole one. A cherry. Mouse C said: I didn’t steal the cheese. Mouse D said: Some people didn’t steal the cheese. The leader looked carefully and found that only one of them told the truth.

a. All the mice stole the cheese;

b. All the mice did not steal the cheese;

d. Mouse B stole a cherry

11. A person stood at the crossroads leading to country A and country B respectively. People from country A are very strange. People from country A always tell the truth, and people from country B always tell lies. There is a person from country A and a person from country B standing at the intersection: A and B, but they don’t know their true identities. Which one is now? I want to go to country B, but I don’t know which way to go. I can only ask these two people. How does he decide which way to go?

Intermediate question:

12. Why is Xiao Zhang from Team A

One day, the students in the school were playing a game. Team A was only allowed to tell the truth and Team B was only allowed to tell lies; Team A was on the podium. On the west side, Team B is on the east side of the podium. At this time, ask a student under the podium to come up and judge whether Xiao Zhang, the student from Team A or Team B, is from Team A or Team B. A member of team B was randomly selected to ask Xiao Zhang if he was on the west side of the podium, but one of the team members was asked to ask if he was on the east side of the podium. The team member came back and said that Xiao Zhang said he was on the west side of the podium. The student immediately determined that Xiao Zhang was from Team A. Why?

13. Who is the murderer?

Xiaoyang’s sisters are Xiaodi and Xiaohong; his girlfriend is Xiaoli. . Xiaoli’s brothers are Xiaogang and Xiaowen. Their professions are:

Xiaoyang: Doctor

Xiaogang: Doctor

Xiaodi: Doctor

Xiaowen: Lawyer

Xiaohong: Lawyer

Xiaoli: Lawyer

One of these 6 people killed the others 1 out of 5 people.

(1) If the murderer and the victim have a certain kinship, then the murderer is male;

(2) If the murderer and the victim do not have a certain kinship, Then it means that the murderer is a doctor;

(3) If the murderer and the victim have the same occupation, then the victim is a male;

(4) If the murderer and the victim have the same occupation, If the occupations are different, then it means that the victim is a woman;

(5) If the murderer and the victim have the same gender, then it means that the murderer is a lawyer;

(6) If the murderer is a lawyer If the gender of the victim is different, then the victim is a doctor.

Based on the above conditions, who is the murderer?

Tips: Based on the assumptions and conclusions in each statement, determine which three statements will not conflict when combined together.

14. How did Xiao Wang calculate it?

The boss of a certain company asked this question when testing the thinking ability of his employees: The number of employees in a large company is between 1,700 and 1,800. If divided by 5, the remainder is 3, if divided by 7, the remainder is 4, and if divided by 11, the remainder is 6. So, how many employees does this company have? Employee Xiao Wang thought for a moment and then answered the question. How did he calculate it?

15． How many children are there in the kindergarten?

The teacher asked the children in the kindergarten to line up in a row, and then began to distribute fruits. The teacher distributes fruits like this: starting from the first person on the left, give out a pear to every 2 people; starting from the first person on the right, give out an apple to every 4 people. If after distribution, 10 children get both pears and apples, how many children are there in this kindergarten?

16. What are the prices of tables?

There are three types of tables in a furniture store, and their prices are as follows:

(1) Their unit prices are different;

( 2) Their unit price adds up to ***4,000 yuan;

(3) The second type of table is 400 yuan cheaper than the first type of table;

(4) The third type of table The unit price is 2 times that of the second one.

So what is the unit price of these three types of tables?

17. How many ceramic vases were broken

A ceramics company wanted to deliver 2,000 ceramic vases to a certain place, so it found a transportation company to transport the ceramic vases. The transportation agreement stipulates this:

(1) The shipping fee for each vase is 1 yuan;

(2) If one is broken, not only will there be no shipping fee, but also Compensation is 5 yuan.

In the end, the transportation company received a freight fee of 1,760 yuan. So, how many ceramic vases did this shipping company break during delivery?

18． Divide the apples

Mom wants to divide 72 apples between the two brothers. Her method of dividing is as follows:

(1) 2/3 of the first pile and 2/3 of the second pile 5/9 of the apples were distributed to the elder brother;

(2) The remaining ***39 apples of the two piles of apples were distributed to the younger brother.

So, how many apples are there in these two piles?

Advanced questions:

19. Two sets of twins.

In a large courtyard in an alley in old Beijing, there are four families living. Coincidentally, each family has a pair of twin girls. Among these four sets of twins, the elder sister is ABCD and the younger sister is abcd. One day, a couple of foreign tourists came to this large courtyard. When they saw eight of them, they couldn't help but ask: "Which one of you is in the same family as whom?"

B said: "C's sister is d. "

C said: "D's sister is not c."

A said: "B's sister is not a."

D said: " Among the three of them, only D's sister told the truth.

”

If D’s words are true, can you guess who is the twin?

20. Two strange sisters.

There is a person Lost in a forest, he wanted to check the time, but found that he didn't bring a watch. He happened to see two little girls playing in front of him, so he decided to go and find out. One problem is that the elder sister tells the truth in the morning and lies in the afternoon, while the younger sister is exactly the opposite. But he still approached them and asked: "Which one of you is the elder sister?" The fat one said, "I am." The thin one also said: "I am." He asked again: What time is it now? The fat one said: "It's morning." "No," said the thin one, "it should be in the afternoon." "Now he is confused. Are what they said true or false?

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