Set Theory Quiz

Which of the following is a well-defined set?

• The set of smart students

• The set of good songs

• The set of vowels in English

• The set of nice books

The number of subsets of a set with 4 elements is:

• 8

• 16

• 12

• 20

What is the cardinality of the set A = {apple, banana, mango, orange}?

• 3

• 4

• 5

• 0

Which of the following is an example of a finite set?

• Set of natural numbers

• Set of all stars

• Set of days in a week

• Set of even numbers

Which of the following represents an empty set?

• {0}

• ∅

• {∅}

• { }

If A = {1, 2, 3}, which of the following is true?

• 0 ∈ A

• {1} ⊆ A

• 2 ⊆ A

• 4 ∈ A

Which of the following is a subset of every set?

• {0}

• {1}

• ∅

• U

If B = {a, b}, how many elements are in its power set?

• 2

• 3

• 4

• 5

If A = {2, 4, 6}, B = {4, 6, 8}, then A ∩ B =

• {2, 4, 6, 8}

• {4, 6}

• {2, 8}

• ∅

What is the universal set for U = {1, 2, 3, 4, 5}?

• A set containing all real numbers

• The set under which all elements in discussion fall

• The smallest set in a discussion

• The set with only one element