Question

Fact $1$: Jessica has four children.
Fact $2$: Two of the children have blue eyes and two of the children have brown eyes.
Fact $3$: Half of the children are girls.
If the first three statements are facts, which of the following statements must also be a fact?
I: At least one girl has blue eyes.
II: Two of the children are boys.
III: The boys have brown eyes.

• A. I only
• B. II only
• C. II and III only
• D. None of the statements is a known fact.

Answer 1

Answer: (B)

II only

Since one-half of the four children are girls, two must be boys. It is not clear which children have blue or brown eyes.