Sample QuestionsSets questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Which of the following statements is false:
- $\text{A} - \text{B = A}\cap\text{B}'$
- $\text{A} - \text{B = A} - \text{(A}\cap\text{B)}$
- $\text{A} - \text{B = A}-\text{B}'$
- $\text{A} - \text{B = (A}\cup\text{B)}-\text{B.}$
View full solution →Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively:
- 4, 7
- 7, 4
- 4, 4
- 7, 7.
Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then, the values of m and n are:
- 7, 6
- 6, 3
- 7, 4
- 3, 7.
The symmetric difference of A = {1, 2, 3} and B = {3, 4, 5} is:
-
{1, 2}
-
{1, 2, 4, 5}
-
{4, 3}
-
{2, 5, 1, 4, 3}.
The symmetric difference of A and B is not equal to:
- $\text{(A} - \text{B)}\cap\text{(B} -\text{A)}$
- $\text{(A} - \text{B)}\cup\text{(B}- \text{A)}$
- $\text{(A}\cup\text{B)}-\text{(B}\cap\text{A)}$
- $\{\text{(A}\cup\text{B)}-\text{A\}}\cup\{\text{(A}\cup\text{B)} - \text{B}\}.$
View full solution →Write the set of all vowels in the English alphabet which precede q.
Write down the all possible subset of the given set.
$\{\phi\}.$
View full solution →Write down the all possible subset of the given set.
{a}.
Write down the all possible subset of the given set.
{a, b, c}
Write down the all possible subset of the given set.
{1, {1}}.
List all the elements of the following sets:
$\text{A} = \{\text{x : x 2} \leq 10,\text{ x} \in\text{ Z}\};$
View full solution →List all the element of the following sets:
E = {x : x is a month of a year not having 31 days};
List all the element of the following sets:
D = {x : x is a vowel in the word "EQUATION"};
Let A = {x : x $\in$ N}, B = {x : x = 2n, n $\in$ N}, C = {x : x = 2n - 1, n $\in$ N} and D = {x : x is a prime natural number}. Find:
$\text{A}\cap\text{D}$
View full solution →Let A = {x : x $\in$ N}, B = {x : x = 2n, n $\in$ N}, C = {x : x = 2n - 1, n $\in$ N} and D = {x : x is a prime natural number}. Find:
$\text{A}\cap\text{C}$
View full solution →Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that:
$(\text{A}\cup\text{B})'=\text{A'}\cap\text{B'}$
View full solution →Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that:
$(\text{A}\cap\text{B})'=\text{A'}\cup\text{B'}$
View full solution →Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8}, and C = {3, 4, 5, 6}. Find:
- A'
- B'
- $(\text{A}\cap\text{C})'$
- $(\text{A}\cup\text{B})'$
- (A')'
- (B - C)'.
View full solution →Let A = {x : x $\in$ N}, B = {x : x = 2n, n $\in$ N}, C = {x : x = 2n - 1, n $\in$ N} and D = {x : x is a prime natural number}. Find:
$\text{C}\cap\text{D}$
View full solution →Let A = {x : x $\in$ N}, B = {x : x = 2n, n $\in$ N}, C = {x : x = 2n - 1, n $\in$ N} and D = {x : x is a prime natural number}. Find:
$\text{B}\cap\text{D}$
View full solution →Using properties of sets, show that for any two sets A and $\text{B},\text{ (A}\cup\text{B})\cap(\text{A}\cup\text{B}')=\text{A}.$
View full solution →Of the members of three athletic teams in a certain school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football and 8 play all the three game. How many member are there in all?
Let A and B be two stes such that: $\text{n(P)} = 20, \text{n(A}\cup\text{B)=42 and n(A}\cap\text{B})=4.$ Find:
$\text{n(A} - \text{B)}.$
View full solution →Let A and B be two stes such that: $\text{n(P)}= 20,$$\text{n(A}\cup\text{B)=42 and n(A}\cap\text{B})=4.$ Find:
$\text{n(B} - \text{A)}.$
View full solution →Let A = {1, 2, 4, 5}, B = {2, 3, 5, 6}, C = {4, 5, 6, 7}. Verify the following identities:
$\text{A}-(\text{B}\cap\text{C})=(\text{A}-\text{B})\cup(\text{A}-\text{C})$
View full solution →