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- Multiple ChoicePlease save your changes before editing any questions.
Set represented by stating a property that uniquely characterized its element is called ___________

Roster Method

Set Builder Method

Tabular Method

Venn diagram Method

- Multiple ChoicePlease save your changes before editing any questions.
The number of

elements in a set is called cardinality or cardinal number of a set.*____________*disjoint

redundant

distinct

repeated

- Multiple ChoicePlease save your changes before editing any questions.

$If\ A=\left\{x∈R\ (real\ number)\ :\ x^2−1=0\right\}\ then\ \left|A\right|=?$0

1

2

none of these

- Multiple ChoicePlease save your changes before editing any questions.
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

- Multiple ChoicePlease save your changes before editing any questions.
If A ⊆ B and B ⊆ A then A and B are called _________

equal sets

equivalent sets

disjoint sets

empty set

- Multiple ChoicePlease save your changes before editing any questions.
If A ⊂ B then which of the following is correct?

|A| ≤ |B|

|A| < |B|

|A| = |B|

|A| > |B|

- Multiple ChoicePlease save your changes before editing any questions.
If |A| = n then cardinality of power set of A i.e |P(A)|= ?

2

^{n}2

^{n-1}2

^{n}- 12

^{2n} - Multiple ChoicePlease save your changes before editing any questions.
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) }

- Multiple ChoicePlease save your changes before editing any questions.
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.

- Multiple ChoicePlease save your changes before editing any questions.
If |A|=|B| then ......

A ∼ B

A ≄ B

A = B

None of the above

- Multiple ChoicePlease save your changes before editing any questions.
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)

- Multiple ChoicePlease save your changes before editing any questions.
A ∪ (B ∩ C) = ?

(A ∪ B) ∩ (A ∪ C)

(A ∪ B) ∪ (A ∪ C)

(A ∩ B) ∪ (A ∩ C)

(A ∩ B) ∩ (A ∩ C)

- Multiple ChoicePlease save your changes before editing any questions.
A ∩ (B ∪ C) = ?

(A ∪ B) ∩ (A ∪ C)

(A ∪ B) ∪ (A ∪ C)

(A ∩ B) ∪ (A ∩ C)

(A ∩ B) ∩ (A ∩ C)

- Multiple ChoicePlease save your changes before editing any questions.
If A and B subsets of universal set U such that A ⊆ B then ...

B ⊆ A

^{c}A

^{c}⊆ B^{c}B

^{c}⊆ A^{c}A ⊆ B

^{c} - Multiple ChoicePlease save your changes before editing any questions.
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)