Question

People in a club either speak French or Russian or both. Find the number of people in a club who speak only French.
A. There are 300 people in the club and the number of people who speak both French and Russian is 196.
B. The number of people who speak only Russian is 58.

• A. The question can be answered by one of the statements alone but not by the other.
• B. The question can be answered by using either statement alone.
• C. The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. The question cannot be answered even by using both statements together.

Hint:

Use the principle of inclusion and exclusion to solve problems involving two sets, such as the number of people speaking French or Russian.

Answer 1

The Correct Option is C

We are given that there are 300 people in the club, and the number of people who speak both French and Russian is 196. The number of people who speak only Russian is 58. To find the number of people who speak only French, we can subtract those who speak both languages and those who speak only Russian from the total: \[ \text{People who speak only French} = 300 - 196 - 58 = 46. \]