Subset of a Set

Q. The set of all the subsets of a set is called ______________.

1. Power set
2. Universal set
3. Complement set
4. Subset

Q.

If a set A has n elements, then the total number of subsets of A is

1. n²

2. 2n

3. n

4. 2ⁿ

Q. The power set of $\{1,2\}$ is

1. $\{1,2\}$
2. $\left\{1\right\},\left\{2\right\}$
3. $\left\{\right\{1\},\{2\},\{1,2\left\}\right\}$
4. $\{\varnothing ,\{1\},\{2\},\{1,2\left\}\right\}$

Q. Which of the following is not true for two non-empty sets A and B?

1. If A $\subset$ B and A $\ne$ B, then A is called superset of B.
2. For every set A, empty set $\varphi$ and A itself, are the subsets.
3. If A $\subseteq$ B and B $\subseteq$ A, then A = B.
4. If A $\subset$ B and A $\ne$ B, then B is not a subet of A.

Q. A set contains 2n+1 elements. The number of subsets of this set containing more than n elements is equal to

1. $2^n$
2. $2^{n-1}$
3. $2^{n+1}$
4. $2^{2n}$

Q.

The number of subsets of A = {1, 2, 3, 4} is _____.

1. 8

2. 16

3. 15

4. 7

Q. The set of whole numbers is a superset of the set of natural numbers.

1. False
2. True

Q. The set of all integers is a subset of the set of all rational numbers.

1. True
2. False

Q. $\{a,b,c,d\}\subseteq \{a,b,c\}$

1. False
2. True

Q.

Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in (A U B ) ?

1. 3

2. 6

3. 9

4. 18

Q.

If a set A has n elements, then the total number of subsets of A is

1. 2n

2. n²

3. n

4. 2ⁿ

Q.

If $A=\{2,4,6,8,10,12\},B=\{4,6,8\}$ and $C=\{4,6\}$, then which of the following statements are correct?

1. $B\subseteq A$

2. $A\supseteq C$

3. $A\supseteq B$

4. $B\subseteq C$

Q. If $A$ is a proper subset of $B$, then $n\left(A\right)$$n\left(B\right)$.

1. $<$
2. $>$
3. $=$

Q.

If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then which of the following statements are correct ?

1. $P\subseteq Q$

2. $R\subseteq P$

3. Q and R are equivalent sets

4. $Q\subseteq R$

Q. Let $S=\{0,1,5,4,7\}$. Then the total number of subsets of S is

1. 64
2. 32
3. 40
4. 20

Q.

The number of proper subsets of the set A = {1, 2, 3} is ___.

1. 8

2. 7

3. 6

4. 5