MCQs on Sets

Which of the following is the correct roster notation for the set of even natural numbers less than 10?

• {2n | n ∈ N, n < 5}

• {0, 2, 4, 6, 8, 10}

• {2, 4, 6, 8}

• {n ∈ N : n mod 2 = 0}

Which symbol represents “is an element of”?

• ⊂

• ∈

• ⊆

• ∅

What is the cardinality of the set {a, b, c, d}?

• 3

• 4

• 5

• Infinite

What does the symbol ∅ represent?

• Universal set

• Singleton set

• Empty set

• Infinite set

Which of the following is not a valid set?

• {1, 2, 3}

• {x | x is a real number}

• {all beautiful numbers}

• {x | x > 0}

Which of the following is a subset of {1, 2, 3}?

• {1, 4}

• {3, 2}

• {2, 3, 4}

• {5}

Which statement is true?

• Every set is a proper subset of itself.

• ∅ is a subset of every set.

• ∅ is not a set.

• The set {∅} is empty.

How is the set of all x such that x is a natural number less than 5 written in set-builder notation?

• {x ∈ N | x < 5}

• {1, 2, 3, 4, 5}

• {x : x ∈ N and x > 5}

• {x | x is even}

The set {a} is a:

• Null set

• Empty set

• Singleton set

• Infinite set

Which of the following describes a finite set?

• The set of prime numbers

• The set of all stars in the universe

• The set of days in a week

• The set of real numbers between 0 and 1