Question

Out of the 100 people, 55 likes tea and 67 likes Coffee and each person like at least one of the two drinks. Find out how many likes both tea or coffee?

1. 22
2. 28
3. 122
4. 128

Answer 1

Correct Answer - Option 1 : 22

Given:

Number of People likes tea = n(T) = 55

Number of People likes coffee = n(C) = 67

Number of people who likes at least tea and coffee = n(T ∪ C) = 100

Formula used:

n(T ∪ C) = n(T) + n(C) - n(T ∩ C)

Where, n(T ∩ C) is the Number of people who like both tea or coffee.

Calculation:

According to the question, we have

100 = 55 + 67 - n(T ∩ C)

 ⇒ n(T ∩ C) = 122 – 100

⇒ n(T ∩ C) = 22

∴ The number of people who likes both tea or coffee is 22.