20 questions
The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
{-4, -3, -2, -1, 0, 1, 2, 3}
{-3, -2, -1, 1, 2, 3}
{-4, -3, -2, -1, 1, 2, 3, 4}
{-4, -3, -2, -1, 1, 2, 3}
What is n(A) (i.e cardinality) for the set:
A = {14, 16, 18, 20, 22, 24}
6
12
4
8
If P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}
R = {3, 6, 9}, and S = {6, 12, 18}
Then what is (P ∪ Q) ∩ (S ∪ R)?
{6}
{3, 6}
{4, 6}
{1, 2, 3, 4, 5, 6, 7, 9, 12, 18}
What statement does the shaded region represent?
A or B and C
Not C
A or B
B and C or A
What type of set is denoted as either { } or ∅?
Universal Set
Disjoint Set
Complement of a Set
Empty (or Null) Set
Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statement true.
B __ A
⊂
⊄
Which of the following represents the shaded region?
(A ⋃ B)'
(A ∩ B)'
A'
B'
A={x: x is natural number less than 1} is an example of
Finite Set
Infinite Set
Null Set
Singleton Set
A = {x : x ∈ N and x² = 4} is
Finite Set
Infinite Set
Null Set
Singleton Set
i. Every set is a subset of itself.
ii. Null set is subset to each set.
Only i is true.
Only ii is true.
Both i & ii are true.
None of these
If n is total number of elements in a set, then number of possible subsets will be
n
2n
n+1
2n
∅ is a proper subset of every set
False
True
If A ⊆ B and B ⊆ A then
A = B
A ≠ B
If A ⋂ B = Φ then A and B are called
Equal sets
Null Sets
Disjoint sets
Finite sets
Idempotent law states that
A ∩ A = A
A ∩ A = Φ
A ∩ Φ = A
A ∩ U = A
A ∪ U = U is
Identity law
De-Morgan's Law
Domination Law
Distributive Law
|A U B| = |A| + |B|
True
False
Set A={x : x2−3x+2=0} is equivalent to
A = {1, 2}
A = {-1, 2}
A = {1, 2, 3}
A = {1, -2}
All possible subsets of A = {0, 1, 2} are
{0}, {1}, {2}
{0,1}, {0,2} , {1,2}, {0,1,2}
{0}, {0,1,2}
Φ, {0}, {1}, {2}, {0,1}, {0,2}, {1,2}, {0,1,2}
How can you define {Φ} ?
Null Set
Infinite set
Singleton set containing one element Φ
none of these