Sets Practice Test 1

Let A be the set of people who like pizza and B be the set of people who like Maggi.
Then (A ∪ B) = 195
n(A) = 120, n(A ∩ B) = 30 n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
195 = 120 + n(B) - 30
n(B) = 105
Number of people who like Maggi only
= n(B) - n(A ∩ B)
= 105 - 30 = 75
∴ Number of people who like Maggi only and not Pizza = 75.