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Task 1. Which of the following proposals are
Statements? Determine their truth.
1. Napoleon was a French emperor.
2. What is the distance from the Earth to Mars?
3. Attention! Look to the right.
4. Electron is an elementary particle.
5. Do not violate the rules of the road!
6. All books contain useful information.
7. Express 1 hour and 15 minutes in minutes.
8. Hooray! Holidays!
9. Every sailor knows how to swim.
10. Some bears are brown.
11. Who can swim?
12. Kiev is the capital of Ukraine.
13. Stop! Who goes?
14. Is there life on Mars?
15. All fish are predators.
16. Be careful and careful!

Task 2. Define the values ​​of the logical variables A, B,
C, D if:
1) A and (Paris - the capital of France) - a true saying;
2) B and (Paris - the capital of France) - a false statement;
3) C or (6 more than 10) is a true saying;
4) D or (6 more than 10) is a false statement.
Task 3. Complete the truth tables for the following
Logical expressions:
A) (̄x
) ∧x
B) (a∧b) ∨c
Task 4. Select the logical function corresponding to the
Functional scheme.

Task 5. Solve problems.
A) Masha, Dasha, Katya and Olya study at the same school, but in different schools
7 "A", 7 "B", 8 "A". Katya and Olya are classmates. Masha and Katya
Studied in classes with the same letter. Masha and Dasha were
Students of the seventh grade. Who in which class studied?
B) The family has four children - 5, 8, 13 and 15 years. Their names are Anya,
Borya, Valya and Galya. Valya goes to the kindergarten. Anya is older than Bory. Amount
Ages Ani and Vali is divided into 3. To whom is how many years old?
C) The aliens reported that in their system 3 planets A, B, C and
That they live on the second planet. Suddenly the transmitter went bad and two
Messages: A - not the third, B - not the second, - have turned out to be false. On
What planet live intelligent beings?
D) There are three rooms in the castle, each of which contains one of the
Characters - either a princess, or a tiger, or a dragon. On the door
Each room has a sign with an inscription. On the first door
Written: "Here is a princess or a tiger." On the second
It says: "Here is a tiger." The third one says: "Here
There is a dragon. " It is known that the plates on the doors of the rooms do not
Correspond to what is in the rooms. Determine who in
Which room is located.
E) Edika, Kolya, and Vasya were treated with cookies of 3 varieties: with
Jam, with nuts and glaze. Vasya does not like nuts, Edik does not eat
Jam, and Kolya is very fond of glaze. Everyone ate a cookie only
One kind. Who ate the cookies with jam?


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