Question

Which is a true conclusion based on the Venn diagram? If a number is prime, it is also odd. If a number is odd, it is also prime. If a number is not odd, it cannot be prime. If a number is prime, it may or may not be odd.

Answer 1

If a number is prime, it may or may not be odd.

Explanation:

The prime numbers are all natural numbers greater than 1, which are only divisible between themselves and between 1. For example: 2, 3, 5, 7, 11 ...

A Venn diagram is shown in the attached figure

There you can see that not all even numbers are primes for example, 4 is an even number, but it is not a prime number. Then, not all odd numbers are prime numbers, for example 9 is an odd number, but it is not a prime number.

Neither all prime numbers are odd, for example the number 2 is a prime number and it is not odd.

Notice in the attached Venn diagram that the set of prime numbers contains even numbers and also odd numbers.

Therefore, the correct statement is the last option:

If a number is prime, it may or may not be odd.