#### QUESTION

Choose the correct alternative :

For the following three statements

p : 2 is an even number.

q : 2 is a prime number.

r : Sum of two prime numbers is always even.

Then, the symbolic statement (p ∧ q) → ∼ r means.

2 is an even and prime number and the sum of two prime numbers is always even.

2 is an even and prime number and the sum of two prime numbers is not always even.

If 2 is an even and prime number, then the sum of two prime numbers is not always even.

If 2 is an even and prime number, then the sum of two prime numbers is also even.

#### SOLUTION

If 2 is an even and prime number, then the sum of two prime numbers is not always even.