# Discrete Mathematics | Week 2

## Quiz

1. If A and B are sets and A ∪ B = A ∩ B, then which of the following is(are) true?

c. A = B

Explanation

2. If A = {3,3,4,5,6,6,9}, B = {{5,9},12,{1,{x,y}},{a,b,c}}, C = {ϕ}, X = {x,y,z} and Y = {A,B}. Which statement is true?

b. Cardinality of B is 4

Explanation

3. Let A = {3,5,6,7,8,9}, B={2,4,5,11,14} and C = {-1,0,1}. Which of the following is not a disjoint set?

d. A and B

Explanation

4. Let set A = {4,5,6,7,9} and P(A) denote the power set of A. What is the cardinality of P(P(A))?

b. 232

Explanation

5. Let A ={x | x ∈ Z; -2 ≤ x ≤ 5} and B ={ x | x ∈ N; x is a prime number}, what is A−B?

c.  {-2,-1,0,1,4}

Explanation

6. In a group of 120 people, 50 people love to eat dairy milk chocolate, 70 people love to eat Kitkat, and 20 people do not like any type of chocolate. How many people love to eat both types of chocolate?

a. 20

Explanation

7. Which of the following pairs of sets are equal?

c. A = {-2,-3}, B = {x: x is a Solution of x2+5x+6=0x2+5x+6=0}

Explanation

8. Suppose A = {1,2,3,4}. How many subsets of 2 distinct elements are possible?

b. 6

Explanation

9. Simplify (Ac∩Bc)c ∪ B

d. Ac ∪ B

Explanation

10. The set O of odd positive integers less than or equal to 10 is

b.  {1,3,5,7,9}

Explanation

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