Subset and Superset of a Set

Q. Let S = {1, 2, 3, 4}. The total number of unordered pairs of disjoint subsets of S is equal to

1. 25
2. 41
3. 34
4. 42

Q. The cardinality of set P is 3. What is the number of elements in the power set of set P ?

1. 8

Q. Given set A = {x : x is a vowel}. Identify the subsets of set A.

1. {a, e}
2. { }
3. {a, b, c}
4. {a, e, i, o, u}

Q.

Define cardinality of a set.

Q.

If A = {set of whole numbers less than 6} and B = {set of prime natural numbers less than 7}, then _________ .

1. A is a superset of B

2. A and B are disjoint sets

3. A is a subset of B

4. B is a superset of A

Q. Observe the Venn diagram given below and choose the correct statement(s).

1. Set A is a subset of set B.
2. Set B is a subset of set A.
3. $A\cup B=B$
4. $A\cap B=A$

Q. If set $E$ = {a, b, c, d, e} and set $A$ = {a, b, c}, then what is $A$ ?

1. Universal set
2. Power set
3. Null set
4. Subset of $E$

Q. If A and B are subsets of the universal set U, then which of the following is/are true?

1. A ⊂ (A ∪ B)
2. A ⊂ B ⇔ (A ∪ B) = B
3. (A ∩ B) ⊂ A
4. A and B cannot be subsets of each other.

Q. If A = { $x:x$ is an even natural number} and B = { $y:y$ is a natural number}, then _______________.

1. A is a subset of B
2. B is a subset of A
3. A is the superset of B
4. B is the superset of A

Q. List all subsets of the following set.
L = {x : x is the letter in the word ‘dog’}.

Q.

Find the cardinality of the given set:

$B=\left\{x:xamultipleof3,x\le 20\right\}$.

Q.

If ∪ = {2, 4, 6, 8, 10, 12, 14, 17} and A = {1, 4, 6, 9, 11, 12}, then set $A^C$​ is

1. {2, 8, 10, 14, 17}

2. {2, 8, 10, 14, 17}

3. Can't be determined

4. {1, 2, 8, 10, 14, 17}

Q. Classify the following set as 'singleton' or 'empty': $C=\{x|x$ is natural number, $5<x<7\}$

1. Empty
2. Singleton
3. None of these
   
4. Data insufficient
   

Q.

Every set is ________.

1. a subset of itself

2. a subset of a null set

3. a subset of other sets

4. a disjoint set

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. Power set of a set is a set of all elements of the given set.

1. True
2. False