This set of Mathematics Aptitude Test for Class 11 focuses 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

View Answer

Explanation: 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) 2^{n+1}

b) 2n

c) 2^{n}

d) N

View Answer

Explanation: Number of subsets of a set having r elements each is nCr. Hence, the total number of subsets is

^{n}C

_{0}+

^{n}C

_{1}+

^{n}C

_{2}+ ……+

^{n}C

_{n}= 2

^{n}.

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

View Answer

Explanation: 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

View Answer

Explanation: 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}}

View Answer

Explanation: 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

View Answer

Explanation: The total number of subsets is given by 2

^{n}where n is the number of elements, hence a total number of subsets is 2

^{5}=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

View Answer

Explanation: 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

View Answer

Explanation: 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

View Answer

Explanation: 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

View Answer

Explanation: Since both sets are subsets of each other therefore both sets have the same elements in them so A is equal to B.

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