MM
Mashaal Masha
Sep 30, 2022
Table of Contents
Choose the correct options for the following questions.
A statement which is false is termed as
Difficulty: Easy
A:
Tautology
B:
Absurdity
C:
Contingency
D:
Negation
If $A = \{1, 2, 3\}$ and $B = \{4, 5, 6\}$ then find the number of subsets of $A \cup B$ are
Difficulty: Easy
A:
8
B:
16
C:
32
D:
64
If $A = \{a, b, c \}$ then the number of subsets of $A$ will be
Difficulty: Easy
A:
4
B:
6
C:
8
D:
12
Which of the following properties of sets is the commutative property
Difficulty: Easy
A:
$A \cup B = B \cup A$
B:
$A \cup (B \cup C) = (A \cup B)\cup C$
C:
$A = B$
D:
$A^{'} = U - A$
If $A$ is a subset of $B$ then $B$ is a superset of $A$. This condition is true for which option?
Difficulty: Easy
A:
$A = B$
B:
$B \subseteq A$
C:
$A \subseteq B$
D:
None of these
Which of the following shows that $\{A\}$ is a subset of the other set?
Difficulty: Easy
A:
$A = [0, A, B]$
B:
$A = [A, B]$
C:
$A = [0, B]$
D:
None of these
If A $\cap$ B = A $\cup$ B, what is the relation between sets A and B?
Difficulty: Easy
A:
A and B are overlapping sets
B:
A is a subset of B
C:
A and B are equal sets
D:
A and B are disjoint sets
If A and B, B and C are overlapping sets while A and C are disjoint sets. Which of the following represents the sets A, B and C.
Difficulty: Easy
A:
A = Set of Natural Numbers, B = Set of Even Integers, C = Set of Odd Integers
B:
A = Set of Rational Numbers, B = Set of Real Numbers, C = Set of Irrational Numbers
C:
A = Set of squares of natural number, B = Set of Even Natural Numbers, C = Set of Rational Numbers
D:
None of these
Which of the following is the associative law for sets
Difficulty: Easy
A:
$A\cup (B \cup C) = (A \cup B) \cap C$
B:
$A\cup (B \cup C) = A \cap (B \cup C)$
C:
$A\cup (B \cup C) = (A \cup B) \cup C$
D:
None of these
$A \cup B=U$ is only true, when
Difficulty: Easy
A:
$A=B$
B:
$A\subseteq B$
C:
$A'=B$
D:
None of the above