Mathematics Aptitude Test for Class 11 on “Subsets – 2”.
1. If A = {1,2,3,4,6} and B = {2,3,4} then which one of the following is correct?
a) A is a universal set
b) B is a subset of A
c) B is a superset of A
d) A is a null set
Answer: b
Clarification: All elements of B belong to A, so B is a subset of A and A is a superset of A.
2. The total number of subsets of a finite set containing n elements is?
a) 2n+1
b) 2n
c) 2n
d) N
Answer: c
Clarification: Number of subsets of a set having r elements each is nCr. Hence, the total number of subsets is nC0 + nC1 + nC2 + ……+nCn = 2n.
3. If A = {1,2} and B = {1,2,4,8,10} then?
a) A=B
b) A⊆B
c) B⊆A
d) A⊄B
Answer: b
Clarification: 1 and 2 are both available in the set B Hence A is a subset of B.
4. If A = {1,3} and B = {1,2,5} then?
a) A⊆B
b) B⊆A
c) Ф⊆A
d) B⊆Ф
Answer: c
Clarification: A null set is a subset of every set hence Ф is a subset of A
5. If A = {2,4} then subsets of A are ___________
a) {{2}, {4}}
b) {{2}, {4}, {2,4}}
c) {Ф, {2}, {4}}
d) {Ф, {2}, {4}, {2,4}}
Answer: d
Clarification: The subsets of a set are null set the set itself and a combination of all of its elements.
6. The number of subsets of a set containing 5 elements is?
a) 5
b) 25
c) 32
d) 64
Answer: c
Clarification: The total number of subsets is given by 2n where n is the number of elements, hence a total number of subsets is 25=32.
7. If A is a set of whole numbers and B is a set of Natural Numbers then choose the correct option.
a) A⊆B
b) B⊆A
c) A=B
d) A and B are finite sets
Answer: b
Clarification: B is {1,2,3…….} and A is {0,1,2,3….} clearly both are infinite sets and A has 1 extra element 0 so B is a subset of A.
8. If A⊆B then what is A∩B, where A and B are two sets?
a) A
b) B
c) Null set
d) Universal Set
Answer: a
Clarification: Intersection signifies common elements between two sets hence A has the common elements between A and B since A is a subset of B.
9. If A⊆B then what is A ∪B, where A and B are two sets?
a) A
b) B
c) Null Set
d) Universal Set
Answer: b
Clarification: Union of two sets incorporates all elements of both A and B Hence B will bet the union of A and B since B is the superset of A.
10. If A⊆B and B⊆A then A=B.
a) True
b) False
Answer: a
Clarification: Since both sets are subsets of each other therefore both sets have the same elements in them so A is equal to B.
Mathematics Aptitude Test for Class 11,