What type of set is the set of natural numbers that are both prime and composite?
Answer and explanation
Correct answer: Empty set
A prime number has exactly two distinct positive factors, whereas a composite natural number has more than two positive factors. These definitions are mutually exclusive, so no natural number can be prime and composite at the same time. Consequently, the set contains no elements and is the empty set, written as ∅.
Frequently asked questions
What is the correct answer to this question?
Empty set
Why is this the correct answer?
A prime number has exactly two distinct positive factors, whereas a composite natural number has more than two positive factors. These definitions are mutually exclusive, so no natural number can be prime and composite at the same time. Consequently, the set contains no elements and is the empty set, written as ∅.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
