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Quiz

Year 1: Logic and sets

10 questions with solutions for year 1: statements and truth values, operations with statements, sets and set operations – review problems.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. Truth value: 9 | 6156

2. Truth value: “31 is a prime number”

3. Truth value: 13 | 153

4. Truth value: 0.3 × 0.1 = 0.03

5. τ(p) = ⊥, τ(q) = ⊤, τ(r) = ⊥. What is τ(r ⇔ p)?

6. τ(p) = ⊥, τ(q) = ⊤, τ(r) = ⊥. What is τ(q ∧ r)?

7. A = {2, 4, 6, 8, 10, 12, 14}, B = {b ∈ A | 6 | b}, C = {c ∈ A | 4 | c}. Is B = C?

8. M = {a ∈ ℕ | 5 < a ≤ 45}. How many numbers in M are divisible by 5 and have an even digit sum?

9. A = {1, 2, 3, 4, 5}, B = {3, 4, 5, 7, 8}. A ∩ B = ?

10. A = {1, 2, 3, 4, 5}, C = {1, 2, 3, 4, 5, 9}. C Δ A = ?