Question 15
Sets and LogicGiven that P = {x: 0 ≤ x ≤ 36, x is a factor of 36 divisible by 3}, and Q = {x: 0 ≤ x ≤ 36, x is an even number and a perfect square}, find P ∩ Q.
- A.{1, 4, 9, 36}
- B.{3, 9, 36}
- C.{9, 36}
- D.{36}
Show the answer and explanation
Answer: D ({36})
Explanation
P = {3, 6, 9, 12, 18, 36} and Q = {0, 4, 16, 36}. The only common member is 36.