Question

A person wishes to make up as many different parties as he can out of 50 friends. Each party consists of the same number of friends. How many should be invited at a time?

• A. 25
• B. 50
• C. 30
• D. 49

Hint:

To maximize the number of groups, divide the total number of friends by the number of friends per group and round appropriately.

Answer 1

The Correct Option is A

To maximize the number of different parties, the number of friends in each party should be such that the total number of friends (50) is divided evenly. The best option is to have 25 friends in each party. This way, we get exactly two parties.
Thus, the correct number of friends to invite at a time is \( 25 \).