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 (P∪Q)c
A
{2, 10, 14, 22, 26}
B
{0, 10, 14, 22, 26}
C
{2,4, 14, 18, 26}
D
{0, 2, 6, 22, 26}
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
U = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
P = {6,12,18,24,30}
Q = {4,8,12,16,20,24,28}
P∪Q = {4,6,8,12,16,18,20,24,28,30}
(P∪Q)c = {2,10,14,22,26}
Source: Myschool Past Questions Archive (Record #7739)