Mathematics part 3 test MEI

Question 1. Let A and B - set. What is the record?

1. Set A is a proper subset of the set, which is a true subset of the set-set A

2. Sets A and B are endless

3. The sets A and B are finite

4. The sets A and B are not empty

5. The sets A and B are equal

Question 2. Let A be a non - empty set of all students at the school, in - a lot of fifth grade students of this school, C - the set of seventh grade students of this school. Which records expresses a false statement? (Parentheses here, as in arithmetic expressions, set procedures).

1.

2.

3.

4.

5.

Question 3. Which of the following statements is not always (not for any sets A, B, C) is true?

1.

2.

3.

4.

5.

Question 4. Let - a lot of days of the week, as well - a lot of days in January. What is the cardinality of the set?

1. 38

2. 217

3. 365

4. 31

5. 7

Question 5: Consider the set of the clock that can be asserted with respect to the element and the sets? .

1.

2.

3.

4.

5.

Task 2

Question 1. Consider the G line between A and B. In a case called line-specific INDICATES everywhere?

1.

2.

3.

4.

5.

Question 2. Assume that there exists a one-to-one correspondence between the sets G and B. What can be said about their powers?

1.

2.

3.

4.

5.

Question 3. What is the function is not a superposition of features,?

1.

2.

3.

4.

5.

Question 4. Consider a binary relation R on the set M. What can be asserted on the R, if the ratio is transitive?

1. If it is the case

2. If, then if and only if

3. The set M is not a member of this that is done

4. If the elements a, b, c of M is performed and not performed

5. where - transitive closure R

Question 5. What property does not have a lax attitude about R?

1. Reflexivity

2. Transitivity

3. Antisymmetric

4. where - transitive closure R

5. Symmetry

Activity 3

Question 1. What is the signature of the Boolean algebra of sets?

1.

2.

3.

4.

5.

Question 2. What operation is not associative?

1. Combine sets

2. Divide numbers

3. The composition of maps

4. Multiply fractions

5. The intersection of sets

Question 3. Consider the algebra and algebra. In which case, you can utver-wait, what?

1. If there is a homomorphism A to B

2. If there is a homomorphism B in A

3. If A and B are isomorphic

4. If the same arity operations and, and, and

5. If there is a mapping D: satisfying for all and all, where - arity of the operation and

Question 4. What operation is an essential feature of the semigroup?

1. Multiply by 2

2. Square root

3. The binary associative

4. The composition of maps

5. Operation identification

Question 5. What is the semigroup?

1. Abelian groups

2. Cyclic groups

3. The free semigroup

4. Monoids

5. cyclic semigroup


Task 4

Question 1. Which of the numbers is perfect?

1. 28

2. 36

3. 14

4. 18

5. 3

Question 2: Which of the values \u200b\u200bis a triangle?

1. 6

2. 10

3. 15

4. 21

5. 27

Question 3. What is the number of combinations of three to five?

1. 10

2. 20

3. 9

4. 11

5. 12

Question 4. Which of the formulas containing the number of combinations is not true?

1.

2.

3.

4.

5.

Question 5: Suppose that we often throw a pair of dice (dice with numbers from 1 to 6 on the boundary-els), and summarize the two fell for each throwing numbers. Which of the following sums, we will semi-chat more often than others?

1. 1

2. 7

3. 6

4. 11

5. 12

Task 5

Question 1: What was the first most important step in deciphering the cuneiform inscriptions made Munter and Grotefend?

1. Selection of the most probable versions of translations for common words in cuneiform inscriptions

2. Selection of letters known language, similar letters cuneiform

3. Selection of the most loved of modern languages

4. Enter cunei