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Discrete Mathematics | Week 2


Link : Discrete Mathematics Week 2 (

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

 c. A = B


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


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


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


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}


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


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}


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

b. 6


9. Simplify (Ac∩Bc)c ∪ B

d. Ac ∪ B


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

b.  {1,3,5,7,9}


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Mithilesh Jhapnakr

Mithilesh Jhapnakr

I have the Answers !



Anyone knows the answer of Ninth question plz reply!



We will update it, as soon as our team got the answer.



I think question 5 is incorrect as 4 is not prime so its not deleted!

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