Question Detail
Question
If 55% like tea, 50% like coffee and 20% like both. What percentage like neither of them?
Correct Answer
Option D is the correct answer.
Detailed Explanation
Using the principle of inclusion-exclusion: n(T ∪ C) = n(T) + n(C) - n(T ∩ C) = 55% + 50% - 20% = 85%. The percentage that like neither is 100% - 85% = 15%.
Hint
Use the formula: n(A ∪ B) = n(A) + n(B) - n(A ∩ B). Then subtract from 100% to find those who like neither.