Task 1. Which of the following statements are statements? Determine their validity. 1. The French emperor Napoleon was. 2.Chem equal to the distance from the Earth to Mars? 3. Attention! Look to the right. 4. The electron - an elementary particle. 5. Do not break traffic rules! 6. All books contain useful information. 7. Express 1 hour 15 minutes in minutes. 8. Hooray! Holidays! 9. Every sailor knows how to swim. 10. Some bears - brown. 11. Who can swim? 12. Kiev - the capital of Ukraine. 13. Stop! Who is going? 14. Is there life on Mars? 15. All fish - predators. 16. Be careful and cautious!Task 2. Determine the values ​​of logical variables A, B, C, D, when: 1) A and (Paris - capital of France) - true statement; 2) B and (Paris - capital of France) - a false statement; 3) C or (6 over 10) - a true statement; 4) D or (6 over 10) - a false statement.Task 3. Complete the truth table for the following logic expressions: a) (̄x∨̄y) ∧x b) (a∧b) ∨cTask 4. Select a logical function corresponding tofunction diagram.Task 5. Solve problems. a) Masha, Dasha, Katya and Olga are studying in the same school but in different Classes: 7 "A", 7 "B", 8 "A". Katya and Olga - classmates. Masha and Katya have learned in the classroom with the same letter. Masha and Dasha have been seventh grade pupils. Who in any classroom learning? b) In the family of four children - 5, 8, 13 and 15 years. Their names - Anna, Bob, Galya and Valya. Val goes to kindergarten. Anya older Bori. Sum of age and Ani Wali divisible by 3. To how many years? c) Aliens have reported that in their system 3 planets A, B, C, and that they live on the second planet. Suddenly spoiled transmitter and two messages: A - not a third, B - not second - proved to be false. On what planet are living sentient beings? d) In the castle are three rooms, each of which is one of the characters - a princess, a tiger or dragon. On the door of each room hangs a plaque with an inscription. The first door is written: "There is a princess or a tiger." On the second It says: "There is a tiger." The third is written: "There is a dragon." It is known that the signs on the door of the room did not match what is in the room. Determine who is in which room. d) Edik, and Vasya Kohl treated biscuits 3 varieties: with jam, nuts and icing. Bob does not like nuts, Eddie eats jam, and Nick likes frosting. Everyone ate the cookies of only one type. Who ate cookies with jam?
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