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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 both tea and coffee?

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. Hence, 2 members like both tea and coffee.

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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?

Though coffee and tea both are cultivated on hill slopes, there is some difference between them regarding their cultivation. In this context, consider the following statements:
1. Coffee plant requires a hot and humid climate of tropical areas whereas tea can be cultivated in both tropical and subtropical areas.
2. Coffee is propagated by seeds but tea is propagated by stem cuttings only.
Which of the statements given above is/are correct?

Statements followed by some conclusions are given below. Statements :
1. Tea is green, Coffee is brown and Milk is white.
2. More than half of the town likes tea.
3. People who like white don't like green and some people who like brown don't like white. Conclusions :
1. Green is more popular in the town.
2. There is at least one coffee drinker who does not like tea. Find which of the given conclusions logically follows from the given statements.

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In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like only tea?