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WorksheetsSE COMP (20-21) SET THEORY
Total questions: 15
Worksheet time: 10mins
Set represented by stating a property that uniquely characterized its element is called ___________
Roster Method
Set Builder Method
Tabular Method
Venn diagram Method
The number of ____________ elements in a set is called cardinality or cardinal number of a set.
disjoint
redundant
distinct
repeated
0
1
2
none of these
If A = {a , e , i , o , u} B = {1 , 2 , 3 , 4 , 5} and C = {1 , -1 , i , -i} are three sets then ...
A & B are equivalent sets
A & C are equivalent sets
B & C are equivalent sets
A, B & C are equivalent sets
If A ⊆ B and B ⊆ A then A and B are called _________
equal sets
equivalent sets
disjoint sets
empty set
If A ⊂ B then which of the following is correct?
|A| ≤ |B|
|A| < |B|
|A| = |B|
|A| > |B|
If |A| = n then cardinality of power set of A i.e |P(A)|= ?
2n
2n-1
2n - 1
22n
If A = {a , b} and B = { 1 , 2 } then A×B = ?
{ (a ,1) , (a , 2) , (1 , a) , (2 , b) }
{ (1 , a) , (2 , a) , (1 , b) , ( 2 , b) }
{ (1 , a) , (2 , a) , (b , 1) , ( b , 2) }
{ (a ,1) , (a , 2) , (b , 1) , ( b , 2) }
Which are the following statements is/are true?
Every finite set is countable.
Every empty set is countable.
Every countably infinite set is countable.
Every singleton set is countable.
If |A|=|B| then ......
A ∼ B
A ≄ B
A = B
None of the above
Which of the following statements is /are correct?
A ⊆ (A ∪ B) and B ⊆ (A ∪ B)
(A ∪ B) ⊆ A and (A ∪ B) ⊆ B
(A ∩ B) ⊆ A and (A ∩ B) ⊆ B
A ⊆ (A ∩ B) and B ⊆ (A ∩ B)
A ∪ (B ∩ C) = ?
(A ∪ B) ∩ (A ∪ C)
(A ∪ B) ∪ (A ∪ C)
(A ∩ B) ∪ (A ∩ C)
(A ∩ B) ∩ (A ∩ C)
A ∩ (B ∪ C) = ?
(A ∪ B) ∩ (A ∪ C)
(A ∪ B) ∪ (A ∪ C)
(A ∩ B) ∪ (A ∩ C)
(A ∩ B) ∩ (A ∩ C)
If A and B subsets of universal set U such that A ⊆ B then ...
B ⊆ Ac
Ac ⊆ Bc
Bc ⊆ Ac
A ⊆ Bc
For two non empty sets A and B which of the following is/are correct?
A ⊕ B = { x : x ∈ A ∪ B and x ∉ A ∩ B }
A ⊕ B = (A - B) ∩ (B - A)
A ⊕ B = { x : x ∈ A - B or x ∈ B - A }
A ⊕ B = (A - B) ∪ (B - A)
