MCQ 11 Mark
Which one of the following is a correct statement?
- A
$\{a\} \in\{a, b, c\}$
- B
$a \subseteq\{a, b, c\}$
- C
$a \in\{\{a\}, b\}$
- ✓
View full question & answer→MCQ 21 Mark
Which one of the following is a correct statement?
- A
$\phi=0$
- B
$\phi=\{0\}$
- C
$\phi=\{\phi\}$
- ✓
$\phi=\{ \}$
AnswerCorrect option: D. $\phi=\{ \}$
View full question & answer→MCQ 31 Mark
If $A=\{a, b\}$, then the power set of $A$ is
- A
$\left\{a^b, b^a\right\}$
- B
$\left\{a^2, b^2\right\}$
- C
$\{\phi,\{a\},\{b\}\}$
- ✓
$\{\phi,\{a\},\{b\},\{a, b\}\}$
AnswerCorrect option: D. $\{\phi,\{a\},\{b\},\{a, b\}\}$
View full question & answer→MCQ 41 Mark
The number of all possible proper subsets of $\{2,3,5\}$ are
View full question & answer→MCQ 51 Mark
If a finite set S contains $n$ elements, then the number of non-empty proper subsets of $S$ is
AnswerCorrect option: D. $2\left(2^{n-1}-1\right)$
View full question & answer→MCQ 61 Mark
Total number of elements in the power set of a set $A$ containing $n$ elements is:
View full question & answer→MCQ 71 Mark
Consider the following statements:
1. Any set $A$ is comparable with itself.
2. $\{0\}$ is a singleton set.
3. $\{\phi\}$ is an empty set.
Of these statements, the correct ones are :
View full question & answer→MCQ 81 Mark
If $A \subseteq B$, then $A \cup B$ is equal to
View full question & answer→MCQ 91 Mark
If $A \subseteq B$, then $A \cap B$ is equal to
View full question & answer→MCQ 101 Mark
If $A=\{1,2,\{3,4\}\}$, which of the following is a correct statement?
- A
$3 \in A$
- ✓
$\{1\} \subset A$
- C
$\{2\} \in A$
- D
$1 \subseteq A$
AnswerCorrect option: B. $\{1\} \subset A$
View full question & answer→MCQ 111 Mark
Consider the following statements:
1. $(A \cup B)^{\prime}=A^{\prime} \cup B^{\prime}$
2. $\left(\phi^{\prime}\right)^{\prime}=\xi$
3. $A \cap( B \cup C )=( A \cap B ) \cup( A \cap C )$
4. $\xi^{\prime}=\phi$
Of these statements
View full question & answer→MCQ 121 Mark
If A has 3 elements and B has 6 elements, then the minimum and maximum number of elements in $A \cap B$ are respectively
View full question & answer→MCQ 131 Mark
If $A$ has 3 elements and $B$ has 6 elements, then the minimum and maximum number of elements in $A \cup B$ are respectively
View full question & answer→MCQ 141 Mark
Let $A=\{1,2,3,4,5\}, B=\{2,4,6,8\}$ and $C=\{3,4,5,6\}$. Then, $( A \cup B ) \cap C$ is
- A
$\{3,4\}$
- ✓
$\{3,4,5,6\}$
- C
$\{1,2,3,4,5,6,8\}$
- D
$\{4,6\}$
AnswerCorrect option: B. $\{3,4,5,6\}$
View full question & answer→MCQ 151 Mark
Let $A=\{0,1,3,4\}, B=\{5,6,1,3,9\}$ and $C=\{0,1,2,3,9,13\}$. Then, $(A \cap B) \cup C$ is
- ✓
$\{0,1,2,3,9,13\}$
- B
$\{0,1,3\}$
- C
$\{0,1,2,3,4,9,13\}$
- D
$\{1,3\}$
AnswerCorrect option: A. $\{0,1,2,3,9,13\}$
View full question & answer→MCQ 161 Mark
If $A=\{1,2,3,4\}$ and $B=\{5,6,7\}$, then $A \cap B=$ ?
- A
- B
$\{5,6,7\}$
- C
$\{4\}$
- ✓
$\phi$
AnswerCorrect option: D. $\phi$
View full question & answer→MCQ 171 Mark
Which one of the following is a finite set?
- A
$\{x: x$ is an integer, $x<1\}$
- B
$\{x: x$ is a rational number, $0
- C
$\{x: x$ is a natural number, $x>5\}$
- ✓
$\{x: x$ is an even prime $\}$
AnswerCorrect option: D. $\{x: x$ is an even prime $\}$
View full question & answer→MCQ 181 Mark
Which one of the following is an infinite set?
- A
$\{x: x$ is a natural number, $x<50\}$
- ✓
$\{x: x$ is an integer, $x<50\}$
- C
$\{x: x$ is an integer, $x$ is a factor of 500\}
- D
$\{x: x$ is a whole number, $x<1000\}$
AnswerCorrect option: B. $\{x: x$ is an integer, $x<50\}$
View full question & answer→MCQ 191 Mark
Which of the following is a singleton set?
- A
$\left\{x \in R : x^2=x\right\}$
- B
$\{x \in N: 3 x=4\}$
- C
$\left\{x \in R : x^2=-1\right\}$
- ✓
$\{x: x$ is an integer which is neither positive nor negative $\}$
AnswerCorrect option: D. $\{x: x$ is an integer which is neither positive nor negative $\}$
View full question & answer→MCQ 201 Mark
Which one of the following is a correct statement?
- A
Every subset of an infinite set is infinite.
- B
Every set has a proper subset.
- C
$\{a, b, c, 1,2,3, a, b, c, 1,2,3, \ldots\}$ is an infinite set.
- ✓
Every subset of a finite set is finite.
AnswerCorrect option: D. Every subset of a finite set is finite.
View full question & answer→MCQ 211 Mark
If $A =\{1\}$, which of the following statements is correct:
- A
$A =1$
- B
$1 \subset A$
- C
$\{1\} \in A$
- ✓
$1 \in A$
AnswerCorrect option: D. $1 \in A$
View full question & answer→MCQ 221 Mark
Assertion (A) : The set of natural numbers (N) is a sub set of the set of whole numbers (W).
Reason (R) : 0 is the only whole number which is not a natural number.
- ✓
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
AnswerCorrect option: A. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
View full question & answer→MCQ 231 Mark
Assertion (A) : The complement of an empty set does not exist.
Reason (R) : The intersection of a set and its complement is a null set.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- ✓
Assertion (A) is false but Reason (R) is true.
AnswerCorrect option: D. Assertion (A) is false but Reason (R) is true.
View full question & answer→MCQ 241 Mark
Assertion (A) : If $A =\{x: x$ is a letter of the word GEOLOGY $\}$ and $B =\{x: x$ is a factor of 16), then A and B are equivalent.
Reason (R) : The intersection of two equivalent sets is an empty set.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- ✓
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
AnswerCorrect option: C. Assertion (A) is true but Reason (R) is false.
View full question & answer→