Sets

Which is not a property of set ?

• well defined collecton
• unordered
• limited size
• distinct

When a set A has all the elements having in set B, We can say...

• A is subset of B
• B is a superset of A
• Both (A is subset and B is superset of A)
• A is always superset of B

What is the symbol of union ?

• ∩
• ∪
• ∉
• None of these.

Empty set is a _______.

• Infinite set
• Finite set
• Unknown set
• Universal set

The number of elements in the Power set P(S) of the set S = {1, 2, 3} is:

• 4.0
• 8.0
• 9.0
• None of these.

Which of the following two sets are equal?

• A = {1, 2} and B = {1}
• A = {1, 2} and B = {1, 2, 3}
• A = {1, 2, 3} and B = {2, 1, 3}
• A = {1, 2, 4} and B = {1, 2, 3}

Write X = {1, 4, 9, 16, 25,…} in set builder form.

• X = {x: x is a set of prime numbers}
• X = {x: x is a set of whole numbers}
• X = {x: x is a set of natural numbers}
• X = {x: x is a set of square numbers}

What is cardinality of sets ? For a given set A _____

• Number of elements in set
• Number of subsets
• Number of supersets
• All of these

We can say two sets are equal, if

• they both have same elements
• they both have same number of elements.
• they elements and order of elements are equal
• All of these

We can say two sets are euivalent ,if

• it is not necessary that they have same element
• they both have same number of elements.
• same cardinality
• All of these