This set of Class 11 Maths Chapter 1 Multiple Choice Questions & Answers (MCQs) focuses on “Venn Diagrams”.
1. In the given Venn diagram, is set A subset of set B?
a) True
b) False
View Answer
Explanation: For set A to be the subset of B, whole set A must lie inside set B which is not so in given Venn diagram so, set A is not subset of set B.
2. In the given Venn diagram, is set A subset of set U?
a) True
b) False
View Answer
Explanation: For set A to be the subset of U, whole set A must lie inside set U which is given in Venn diagram so, set A is subset of set U.
3. Which of the following statement is correct?
a) A is subset of B
b) B is subset of A
c) U is subset of A and B
d) A and B are subsets of U
View Answer
Explanation: Since set A and set B lie completely inside set U as given in diagram so they are subsets of set U and set U is superset of set A and B.
4. If n(A)=10, n(B)=20, c=5 in the given Venn diagram. Find a and b.
a) a=10 and b=15
b) a=5 and b=15
c) a=15 and b=10
d) a=15 and b=5
View Answer
Explanation: From the given diagram, a + c = 10 => a+5=10 => a=5
and b + c = 20 => b+5=20 => b=15
5. In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like only tea?
a) 10
b) 20
c) 30
d) 40
View Answer
Explanation: Given, a + b + c + d = 100, a + c = 40, b + c = 30, c = 10
a+10=40 => a=30 i.e. 30 persons like only tea.
6. In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like only coffee?
a) 10
b) 20
c) 30
d) 40
View Answer
Explanation: Given, a + b + c + d = 100, a + c = 40, b + c = 30, c = 10
b+10=30 => b=20 i.e. 20 persons like only coffee.
7. In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like either tea or coffee?
a) 20
b) 40
c) 50
d) 60
View Answer
Explanation: Given, a + b + c + d = 100, a + c = 40, b + c = 30, c = 10
b+10=30 => b=20
a + b + c = 40+20 = 60 i.e. 60 persons like either tea or coffee.
8. In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like neither tea nor coffee?
a) 20
b) 40
c) 50
d) 60
View Answer
Explanation: Given, a + b + c + d = 100, a + c = 40, b + c = 30, c = 10
b+10=30 => b=20
a + b + c = 40+20 = 60
d+60=100 => d=40 i.e. 40 persons like neither tea nor coffee.
9. Which of the following is correct?
a) A is subset of B
b) B is subset of A
c) U is subset of A and B
d) U is subset of A
View Answer
Explanation: In the given Venn diagram, A is completely inside B which is completely inside U. So, A is subset of B and both A and B are subset of U.
10. Which of the following is set A?
a) {1,2,3,4,5}
b) {2,4}
c) {2,3,4}
d) {3}
View Answer
Explanation: Elements that lie inside the boundary of A are 2 and 4 so set A = {2,4}. Elements lying outside boundary of A are not part of A.
11. Which of the following is set B?
a) {1,2,3,4,5}
b) {2,4}
c) {2,3,4}
d) {3}
View Answer
Explanation: Elements that lie inside the boundary of B are 2, 3, 4 so set B = {2, 3, 4}. Elements lying outside boundary of B are not part of B.
12. Which of the following is set representing A but not B?
a) {1,2,3,4,5}
b) {2,4}
c) {2,3,4}
d) { }
View Answer
Explanation: Since A lie completely inside B so, A is a subset of B. All elements of A also belongs to B. Hence, there is no element that lie in A and not in B. Set is { }.
13. Which of the following is set representing B but not A?
a) { }
b) {2,4}
c) {2,3,4}
d) {3}
View Answer
Explanation: Element that lie inside the boundary of B but outside the boundary of A is 3. So, element that belongs to B but not A is 3. Set is {3}.
14. Which of the following is set representing neither A nor B?
a) {1,5}
b) {2,4}
c) {2,3,4}
d) { }
View Answer
Explanation: Elements that lie inside the boundary of U but outside the boundary of A and B are 1,5. So, elements that belong to neither A nor B are 1,5. Set is {1,5}.
Sanfoundry Global Education & Learning Series – Mathematics – Class 11.
To practice all chapters and topics of class 11 Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.
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