Q. Among 200 persons, 90 people like tea while 108 people like coffee and 46 people like both tea and coffee. How many people like neither tea nor coffee?

Correct Answer: (C) 48

Explanation:

To determine the number of people who like neither tea nor coffee, let’s use the principle of inclusion-exclusion.

1. Total number of people (N): 200
2. Number of people who like tea (T): 90
3. Number of people who like coffee (C): 108
4. Number of people who like both tea and coffee (T ∩ C): 46

First, calculate the number of people who like either tea or coffee (or both):

|T ∪ C| = |T| + |C| – |T ∩ C|
|T ∪ C| = 90 + 108 – 46 = 152

This means 152 people like either tea or coffee or both. To find the number of people who like neither:

Number of people who like neither = N – |T ∪ C|
Number of people who like neither = 200 – 152 = 48

Answer: (C) 48