Mathematics 2015 JAMB Past Questions - Question 3: Given :U={Even numbers between 0 and 30}P={multiples of 6 between 0 and 30}Q={Multiples of 4 between 0 and 30}Find (PUQ)

Correct Answer

D

Explanation

U={2,4,6,10,12,14,...28},P={6,12,18,24},Q={4,8,16,20,24,28}PUQ={2,10,14,22,26}The set U represents the even numbers between 0 and 30, the set P represents the multiples of 6 between 0 and 30, and the set Q represents the multiples of 4 between 0 and 30.To find the union of sets P and Q, denoted as (P U Q), we need to combine all the elements that are in either set P or set Q.The multiples of 6 between 0 and 30 are: 0, 6, 12, 18, 24, 30.The multiples of 4 between 0 and 30 are: 0, 4, 8, 12, 16, 20, 24, 28.When we take the union of sets P and Q, we combine all the unique elements from both sets. So, (P U Q) = {0, 4, 6, 8, 12, 16, 18, 20, 24, 28, 30}.Therefore, the union of sets P and Q, (P U Q), is the set of numbers that are either multiples of 6 or multiples of 4 between 0 and 30.