CBSE Class 11 Mathematics Chapter 1 Set Multiple Choice Questions with Answers. MCQ Class 11 Mathematics Set with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 11 Mathematics Set MCQs with Answers to know their preparation level.
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MCQ Class 11 Mathematics Sets with Answers - Set - 1
Question 1:
{ (A, B) : A² +B² = 1} on the sets has the following relation
(a) reflexive
(b) symmetric
(c) none
(d) reflexive and transitive
Correct Answer – (B)
Given {(a, b) : a² + b² = 1} on the set S.
Now a² +b² = b² + a² = 1
So, the given relation is symmetric.
Question 2 :
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}
Correct Answer – (B)
The set S consists of the square of an integer less than 100
So, S = {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
Question 3 :
Which of the following sets are null sets
(a) {x: |x |< -4, x ?N}
(b) 2 and 3
(c) Set of all prime numbers between 15 and 19
(d) {x: x < 5, x > 6}
Correct Answer – (B)
2 and 3 is the null set.
Question 4 :
If A, B and C are any three sets, then A × (B ∪ C) is equal to
(a) (A × B) ∪ (A × C)
(b) (A ∪ B) × (A ∪ C)
(c) None of these
(d) (A × B) ∩ (A × C)
Correct Answer – (A)
Given A, B and C are any three sets.
Now, A × (B ∪ C) = (A × B) ∪ (A × C)
MCQ Class 11 Mathematics Sets with Answers
Question 6 :
In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
(a) 19
(b) 41
(c) 21
(d) 57
Correct Answer – (B)
The number of students who took at least one of the three subjects can be found by finding out A ∪ B ∪ C, where A is the set of those who took Physics, B the set of those who took Chemistry and C the set of those who opted for Math.
Now, A ∪ B ∪ C = A + B + C – (A ∩ B + B ∩ C + C ∩ A) + (A ∩ B ∩ C)
A is the set of those who opted for Physics = 120/2 = 60 students
B is the set of those who opted for Chemistry = 120/5 = 24
C is the set of those who opted for Math = 120/7 = 17
The 10th, 20th, 30th….. numbered students would have opted for both Physics and Chemistry.
Therefore, A ∩ B = 120/10 = 12
The 14th, 28th, 42nd….. Numbered students would have opted for Physics and Math.
Therefore, C ∩ A = 120/14 = 8
The 35th, 70th…. numbered students would have opted for Chemistry and Math.
Therefore, B ∩ C = 120/35 = 3
And the 70th numbered student would have opted for all three subjects.
Therefore, A ∪ B ∪ C = 60 + 24 + 17 – (12 + 8 + 3) + 1 = 79
Number of students who opted for none of the three subjects = 120 – 79 = 41
Question 7 :
IF R = {(2, 1),(4, 3),(4, 5)}, then range of the function is?
(a) Range R = {2, 4}
(b) Range R = {1, 3, 5}
(c) Range R = {2, 3, 4, 5}
(d) Range R {1, 1, 4, 5}
Correct Answer – (B)
Given R = {(2, 1),(4, 3),(4, 5)}
then Range(R) = {1, 3, 5}
Question 8 :
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
Correct Answer – (A)
Given A = [5, 6, 7] and B = [7, 8, 9]
then A ∪ B = [5, 6, 7, 8, 9]
Question 9 :
A – B is read as?
(a) Difference of A and B of B and A
(b) None of the above
(c) Difference of B and A
(d) Both a and b
Correct Answer – (A)
A – B will read as difference of A and B of B and A
Ex: Let A = {1, 2, 3, 4, 5} and B = {1, 3, 5, 7}
Now, A – B = {2, 4}
Question 10 :
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)
Correct Answer – (D)
Given A, B and C are any three sets.
Now, A – (B ∪ C) = (A – B) ∩ (A – C)
- NCERT Solutions Class 11 Mathematics Sets : Exercise 1.1
- NCERT Solutions Class 11 Mathematics Sets : Exercise 1.2
- NCERT Solutions Class 11 Mathematics Sets : Exercise 1.3
- NCERT Solutions Class 11 Mathematics Sets : Exercise 1.4
- NCERT Solutions Class 11 Mathematics Sets : Exercise 1.5
- NCERT Solutions Class 11 Mathematics Sets : Exercise 1.6
- NCERT Solutions Class 11 Mathematics Sets : Exercise Misc
- NCERT Solutions Class 11 Mathematics Textbook download
