Analytical & Logical Reasoning Section

For all questions in this section, correct answers carry 2 marks each.

4. Each child in a family has at least 4 brothers and 3 sisters. What is the smallest number of children the family might have?

(a) 7 (b) 8 (c) 9 (d) 10

Solution:

Assume, a person is male, he should have 4 brothers and three sisters. This implies that there are at least 5 male children.

This implies that in that family every female child has 5 brothers and two sisters.

Therefore there must be at least 3 female children, hence there must be one more female.

Hence, there must be at least 9 children. Choice (c)