Quiz on Sets and Their Properties

Which of the following is a well-defined set?

• The set of beautiful flowers

• The set of all red cars in India

• The set of good books

• The set of interesting movies

Which of the following is the correct roster form of the set of vowels in the English alphabet?

• {x | x is a vowel in English}

• {A, E, I, O, U}

• (A, E, I, O, U)

• [A, E, I, O, U]

Which of the following represents the set-builder form of the set {1, 3, 5, 7, 9}?

• {x | x is a number less than 10}

• {x | x < 10}

• {x | x ∈ N and x < 10}

• All of the above

What is the number of elements of the set A = {2, 4, 6, 8, 10}?

• 10

• 5

• 6

• 0

Which of the following sets is an empty set?

• {x | x is a prime number and even}

• {x | x is a natural number less than 3}

• {}

• All of the above

What is the power set of A = {1, 2}?

• {{1}, {2}}

• {{1, 2}}

• {∅, {1}, {2}, {1, 2}}

• {{∅}, {1}, {2}, {1, 2}}

How many subsets does a set with 3 elements have?

• 3

• 6

• 8

• 9

The set {x | x is an even prime number} contains:

• One element

• Two elements

• No element

• Infinite elements

Which of the following sets contains exactly 4 elements?

• {x ∈ N | x ≤ 4}

• {a, b, c, d, e}

• {1, 2, 2, 3}

• {x | x is an odd number between 0 and 10}

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

• {1, 4}

• {2, 3}

• {0, 1}

• {1, 2, 3, 4}