Question

Each family in a locality has at most two adults, and no family has fewer than 3 children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families. Then the minimum possible number of families in the locality is

• A. 4
• B. 5
• C. 2
• D. 3

Hint:

In such problems, analyze the distribution of children and adults carefully to ensure the conditions are satisfied.

Answer 1

The Correct Option is D

Let’s consider the possible family configuration: - Each family has at most two adults and at least three children. - We need to meet the condition that there are more adults than boys, more boys than girls, and more girls than families. The simplest case is 3 families, where the number of boys and girls in each family is balanced in such a way that the conditions hold true. The minimum number of families required is therefore 3. \[ \boxed{3} \]