Question

If P = {multiples of 3 between 1 and 20} and Q = {even natural numbers upto 15}. Find the intersection of the two given set P and set Q.

• A. P ∩ Q = {6, 18}.
• B. P ∩ Q = {6, 12}.
• C. P ∩ Q = {6, 6}.
• D. P ∩ Q = {12, 12}.

Answer 1

The correct option is B P ∩ Q = {6, 12}.

P = {multiples of 3 between 1 and 20}

So, P = {3, 6, 9, 12, 15, 18}

Q = {even natural numbers upto 15}

So, Q = {2, 4, 6, 8, 10, 12, 14}

Therefore, intersection of P and Q is the largest set containing only those elements which are common to both the given sets P and Q

Hence, P ∩ Q = {6, 12}.