If p and q are even numbers, which of the following is always even?

Question: If p and q are even numbers, which of the following is always even?

Solution:
Take p = 2 and q = 6 (both even)
a) p + q + 3 = 2 + 6 + 3 = 11 → Odd
b) pq + 5 = (2 × 6) + 5 = 12 + 5 = 17 → Odd
c) 3p + q = (3 × 2) + 6 = 6 + 6 = 12 → Even
d) p² + q + 3 = (2)² + 6 + 3 = 4 + 6 + 3 = 13 → Odd

Answer: c) 3p + q is always even.