Question

In an office, there are 215 employees who drink either tea or coffee. 94 out of them drink tea and 63 drink tea but not coffee. How many employees drink coffee but not tea?

• A. 152
• B. 138
• C. 121
• D. 123

Hint:

Use the principle of inclusion and exclusion to solve such problems where you need to calculate subsets of a universal set.

Answer 1

The Correct Option is C

We are given the following information:
- Total employees: 215
- 94 employees drink tea.
- 63 employees drink tea but not coffee.
- We need to find how many employees drink coffee but not tea.
Let \( x \) be the number of employees who drink both tea and coffee.
Then, the number of employees who drink only tea = \( 94 - x \).
The number of employees who drink only coffee = \( 215 - 94 - 63 = 121 \).
Thus, 121 employees drink coffee but not tea.