In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like only tea?

Correct Answer: 2
We know, n (T ∪ C) = n (T) + n (C) – n (T ∩ C) Given, n (T ∪ C) = 7, n(T)=4, n(C)=5 7=4+5- n (T ∩ C) n (T ∩ C) = 2. n (only T) = n (T ∩ C’) = n (T)- n (T ∩ C) = 4-2=2. 2 members like only tea.