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Mathematical problems of logical reasoning
1 There are four suspects: A, B, C and D. Their words are as follows:

A said, I'm not a criminal.

B said: Ding is a criminal.

C said: B is a criminal.

Ding said: I am not a criminal.

Only one of the above four people lied. Who is the criminal?

There are five opaque bags filled with balls of five different colors. The colors of the ball are red, yellow, green, blue and white. There are five people, A, B, C, D and E. Guess their colors. Their words are as follows:

A said: The second bag is blue and the third bag is white.

B said: The second bag is green and the fourth bag is red.

C said: The first bag is red and the fifth bag is yellow.

D said: The third package is green, and the fourth package is yellow.

E said: The second bag is white and the fifth bag is blue.

What the above five people said was half true and half false. Excuse me: What color are the balls in each bag?

Three people were wearing red, yellow and blue clothes and red, yellow and blue pants. The man in red said, "Each of us has different colors of clothes and trousers." The man in blue trousers said, "You're right, it really is." Excuse me: how do the clothes and pants of three people match?

At the banquet table of the International Hotel, four friends, A, C, B and D, had an interesting conversation. They use four languages: Chinese, English, French and Japanese. What they know is as follows: (1) A, B and C can speak two languages each, and D can only speak one language; (2) Three out of four people can speak one language; (3) A can speak Japanese, D cannot speak Japanese and B cannot speak English; (4) Party A and Party C, and Party C and Party D cannot talk directly, but Party B and Party C can talk directly; No one can speak both Japanese and French. A can be _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

5 A, b, C B and c all have a sister, and six people play table tennis mixed doubles together. It is agreed in advance that brother and sister cannot be partners. The first set: A and a pair of C and B; The second set: C and C are the sisters of A and B, A is the sister of _ _ _ _ _, B is the sister of _ _ _ _ _, and C is the sister of _ _ _ _ _ _.

Select some students from six students, A, B, C, D, E and F, to take part in a certain competition. According to the competition rules, the contestants must meet the following requirements: (1) At least one of A and B; (2) A and D cannot go at the same time; (3) Choose two from A, E and F; (4) Neither B nor C can go. (5) one of c and d goes; (6) If D doesn't go, then E doesn't go either. The person selected to take part in the competition is _ _ _ _.

7 A, B, C B and C students, one in Beijing, one in Shanghai and one in Changsha; Some of them like Chinese, some like math and some like foreign languages. (1)A doesn't like Chinese and B doesn't like foreign languages. (2) People who like Chinese are not from Shanghai; (3) People who like foreign languages are from Beijing; (4)B is not from Changsha. Where are they from and what do they like?

8 A, B, C B and C study in No.1 Middle School, No.2 Middle School and No.3 Middle School. Each of them likes swimming, gymnastics and volleyball. Now we know: (1)A is not in No.1 Middle School; (2)B is not in No.2 Middle School; (3) Those who like volleyball are not in No.3 Middle School; (4) Those who like swimming are in No.1 Middle School; (5)B doesn't like swimming. Which school are they from and what do they like?

There are three workers, Zhang, Wang and Li. They work in three factories, A, B and C. One is a lathe worker, one is a fitter and the other is an electrician. It is known that (1) Zhang is not in a factory; (2) Wang is not in factory B; (3) Not a fitter in a factory; (4) The lathe operator is in Factory B; Wang is not an electrician. Zhang works in a factory. Wang works in _ _ _ _ _ factory; Li factory does the work.

10 A, B, C, D, E, some of them will be assigned to perform a task, and the following regulations should be observed in the division of labor: (1) If A goes, then B must go; (2) Go to D 2) At least one of D and E; (3) Two people, B and C, go, only one person; (4) Neither C nor D can go; (5) If E goes, then both A and D will go. _ _ _ _ _ _ should go.

1 1 There are six passengers living on the second floor of a hotel. Three are conference delegates, named Zhang, Wang and Li, one is a scientist, one is a technician and the other is a reporter. The other three are business travelers from Beijing, Shanghai and Guangzhou. Their surnames are also Zhang, Wang and Li. The information introduced by the waiter is as follows: (65433) (2) Technicians work in a factory in Guangzhou; (3) The passenger surnamed Wang stammered; (4) The passenger with the same surname as the technician is from Shanghai; (5) Technicians and passengers as teachers come from the same place; (6) Zhang always loses to reporters when he plays badminton. Please judge the surnames of six of them.

12 Three people, A, B and C, work in Nanning, Liuzhou and Guilin respectively. Their occupations are teachers, medical students and engineers. Known: (1) A does not work in Guilin; (2) Party B does not work in Nanning; (3) It is not teachers who work in Guilin; (4) Doctors work in Nanning; (5) B is not an engineer. According to the above situation, what are the jobs and occupations of A, B and C respectively?

13 There are four people living in a four-story building, including engineers, workers, teachers and doctors. If it is known: (1) A lives on the fourth floor higher than B and lower than C; (2) Doctors live above teachers and below workers, and engineers live on the lowest floor. What floors do A, B, C and D of this building live on? What are their occupations?

14 There are six passengers on the Beijing-Fuzhou train: A, B, C, D, E and F, from Beijing, Tianjin, Shanghai, Yangzhou, Nanjing and Hangzhou. It is known that ①A and Beijingers are doctors, E and Tianjin are teachers, and C and Shanghai are engineers. A, B, F and Yangzhou all joined the army, but Shanghainese never did.

15 Three boxes, one containing two black balls, one containing two white balls and one containing one black ball and one white ball. Now the labels on the three boxes are all wrong. Can you take a ball out of one box and make sure what balls are in the three boxes?

16 A, B, C and D have different numbers printed on their jerseys. Zhao said, "A is number two, and B is number three." Qian said, "C is number four, and B is number two." Sun said, "Ding is number two and C is number three." Li said, "D is the number L and B is the number 3."

/kloc-in 0/7, eight students, A, B, C, D, E, F, G and H, won the top eight in a school mathematics competition. The teacher asked them to guess who was the first. A said, "Either F comes first or H comes first." B said, "I am the first." C said, "G comes first."

18 A visiting group chooses a place from five places, A, B, C, D and E, to visit according to the following conditions: ① If you want to go to A, you must also go to B; ② Go to at most one of B and C; ③ Go to at least one of D and E; 4 go to C and D at the same time or not; ⑤ If you want to go to E, you must go to A and D. Where will the delegation go?

Room 19 has 12 people. Some of them always lie, while others tell the truth. One of them said, "There are no honest people here." The second said, "There is only one honest man here at most." The third said, "There are at most two honest people here." And so on, the twelfth said, "Here."

Party A, Party B, Party C and Party D agree to meet at the gate of the park on 10 in the morning. After the meeting, Party A said, "I arrived six minutes early, and Party B arrived on time." Party B said, "I arrived four minutes early, and Party C arrived two minutes later than me." Party C said, "I arrived three minutes early and Party D arrived two minutes early." Ding Fang said.