This set of Discrete Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Venn Diagram”.

1. The shaded area of figure is best described by

a) A ∩ B

b) A U B

c) A

d) B

View Answer

Explanation: The region is A intersection B.

2. The shaded area of figure is best described by

a) A‘ (Complement of A)

b) A U B -B

c) A ∩ B

d) B

View Answer

Explanation: The region is complement of B.

3. If n(A)=20 and n(B)=30 and n(A U B) = 40 then n(A ∩ B) is

a) 20

b) 30

c) 40

d) 10

View Answer

Explanation: n(A U B) = n(A) + n(B) – n(A ∩ B).

4. The shaded area of figure is best described by

a) A‘ (Complement of A)

b) B – (A ∩ B) – (C ∩ B)

c) A ∩ C ∩ B

d) B’ (Complement of B)

View Answer

Explanation: The region is difference B with A and C.

5. The relation between sets A,B,C as shown by venn diagram is

a) A is subset of B and B is subset of C

b) C is not a subset of A and A is subset of B

c) C is subset of B and B is subset of A

d) None of the mentioned

View Answer

Explanation: As set C is totally inside set B, set B is totally inside set A.

6. Let A : All badminton player are good sportsperson.

B: All person who plays cricket are good sportsperson.

Let X denotes set of all badminton players, Y of all cricket players, Z of all good sportsperson. Then which of the following statements is correct?

a) Z contains both X and Y

b) Z contains X and Y is outside

c) X contains Y and Z

d) None of the mentioned

View Answer

Explanation: X and Y are subset of Z.

7. If n(A)=10 , n(B)=30,n(C)=50 and if set A,B,C are pairwise disjoint then which of the following is correct?

a) n(A U B)=0

b) n( B U C)=0

c) n( A U B U C)=90

d) All of the mentioned

View Answer

Explanation: All the statements are true based on definition.

8. In the given figure the if n(A)=20,n(U)=50,n(C)=10 and n(A∩B)=5 then n(B)=? .

a) 35

b) 20

c) 30

d)10

View Answer

Explanation: Here n(B)= n(U) – n(A) + n(A∩B).

9. Let the students who likes table tennis be 12,the ones who like lawn tennis 10,those who like only table tennis are 6,then number of students who likes only lawn tennis are, assuming there are total of 16 students.

a) 16

b) 8

c) 4

d) 10

View Answer

Explanation: The students who only plays lawn tennis will be total lawn tennis player – those who play both the sports.

10. The shaded area of figure is best described by

a) A‘ (Complement of A)

b) A U B – (A ∩ B)

c) A – B

d) B

View Answer

Explanation: The region is complement of( A intersection B).

**Sanfoundry Global Education & Learning Series – Discrete Mathematics.**

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