Mathematics
Multiple Choice Questions (MCQ)
MCQ | Class 11 | Chapter 1
SET THEORY
- MCQ Based on the different types of sets
- MCQ Based on the Union and Intersection of sets.
- MCQ Based on the Complement of sets .
- MCQ Based on Properties of Union, Intersection and Complement of sets.
- MCQ Based on the Application of sets and Venn diagram.
Features
- In this pdf given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations.
- Solution Hints are also given to some difficult problems.
- Each MCQ contains four options from which one option is correct.
- On the right hand side column of the pdf Answer option is given.
Action Plan
- First of all students should Learn and write all basic points and Formulas related to the Continuity and Differentiability.
- Start solving the NCERT Problems with examples.
- Solve the important assignments on the Set Theory Chapter 1 Class XI.
- Then start solving the following MCQ.
MCQ | CHAPTER 1 | CLASS 11
SET – THEORY
Q 1) A set is a
a) A group of object
b) A collection of object
c) Collection of objects with a common fixed property.
d) A well defined collection of objects
Ans: d
Q 2) If A, B and C are any three sets, then A – (B ∪ C) is equal to
(a) (A – B) ∪ (A – C)
(b) (A – B) ∪ C
(c) (A – B) ∩ C
(d) (A – B) ∩ (A – C)
(a) (A – B) ∪ (A – C)
(b) (A – B) ∪ C
(c) (A – B) ∩ C
(d) (A – B) ∩ (A – C)
Ans: d
Q 3) A set is known by its
a) Elements
b) values
c) Members
d) Letters
a) Elements
b) values
c) Members
d) Letters
Ans: a
Q 4) (A’)’ = ?
(a) ∪ – A
(b) A
(c) ∪
(d) A’
(a) ∪ – A
(b) A
(c) ∪
(d) A’
Ans: b
Q 5) There are 230 students. 80 play football, 42 play soccer and 12 play rugby. 32 play exactly 2 sports and 4 play all three. How many students play none?
a) 132
b) 136
c) 140
d) 94
a) 132
b) 136
c) 140
d) 94
Ans: b
Q 6) In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person like at least one of the two drinks. How many like both coffee and tea?
a) 30
b) 15
c) 14
d) 9
a) 30
b) 15
c) 14
d) 9
Ans: d
Q 7) IF A = [5, 6, 7] and B = [7, 8, 9] then A ∪ B is equal to
(a) [5, 6, 7, 8, 9]
(b) [5, 6, 7]
(c) [7, 8, 9]
(d) None of these
(a) [5, 6, 7, 8, 9]
(b) [5, 6, 7]
(c) [7, 8, 9]
(d) None of these
Ans: a
Q 8) The members of the set S = {x | x is the square of an integer and x < 100} is
(a) {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}
(b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
(c) {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}
(d) {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}
(a) {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}
(b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
(c) {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}
(d) {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}
Ans: b
Q 9) Number of subsets of a set of order three is
a) 3
b) 6
c) 8
d) 9
a) 3
b) 6
c) 8
d) 9
Ans: c
Q 10) If A, B, C be three sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C, then,
(a) B = C
(b) A = C
(c) A = B = C
(d) A = B
(a) B = C
(b) A = C
(c) A = B = C
(d) A = B
Ans: a
Q 11) Order of the power set of a set of order n is
a) n
b) 2n
c) n2
d) 2n
a) n
b) 2n
c) n2
d) 2n
Ans: b
Q 12) Empty set is a?
(a) Infinite Set
(b) Invalid Set
(c) None of the above
(d) Finite Set
(a) Infinite Set
(b) Invalid Set
(c) None of the above
(d) Finite Set
Ans: d
Q 13) The number of elements in the power set of the set {{a, b}, c} is
a) 8
b) 4
c) 3
d) 7
a) 8
b) 4
c) 3
d) 7
Ans: b
Q 14) Which of the following two sets are equal?
(a) A = {1, 2} and B = {1}
(b) A = {1, 2} and B = {1, 2, 3}
(c) A = {1, 2, 3} and B = {2, 1, 3}
(d) A = {1, 2, 4} and B = {1, 2, 3}
(a) A = {1, 2} and B = {1}
(b) A = {1, 2} and B = {1, 2, 3}
(c) A = {1, 2, 3} and B = {2, 1, 3}
(d) A = {1, 2, 4} and B = {1, 2, 3}
Ans: c
Q 15) If A and B are two sets such that n(A) = 70, n(B) = 60 and n(A U B) = 110, then n(A ⋂ B) = ?
a) 240
b) 50
c) 40
d) 20
a) 240
b) 50
c) 40
d) 20
Ans: d
Q 16) In a class of 50 students, 10 did not opt for math, 15 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science.
(a) 24
(b) 25
(c) 26
(d) 27
(a) 24
(b) 25
(c) 26
(d) 27
Ans: d
Q 17) In a city of 1000 population, all people read newspaper. 600 people read Hindustan Times and 700 people read Times of India. How many people read only Times of India?
a) 200
b) 400
c) 600
d) 700
a) 200
b) 400
c) 600
d) 700
Ans: b
Q 18) Which of the following sets are null sets?
a) {0}
b) Ø
c) { }
d) Both (b) & (c)
a) {0}
b) Ø
c) { }
d) Both (b) & (c)
Ans: d
Q 19) If the number of elements in a set S are 5. Then find the number of elements of the power set P(S) are ?
a) 5
b) 6
c) 16
d) 32
Ans: d
Explanation Number of elements in the power set P(S) = 25 = 32
a) 5
b) 6
c) 16
d) 32
Ans: d
Explanation Number of elements in the power set P(S) = 25 = 32
