Fact 1 : Jessica has four children. Fact 2 : Two of the children have blue…
2025
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 [fact]
Attempted by 123 students.
Show answer & explanation
Correct answer: B
Based on Fact 3, half of the four children are girls, meaning exactly two are boys. This confirms Statement II must be a fact. However, Facts 1 and 2 do not link gender to eye color distribution. It is possible for both girls to have brown eyes and boys to have blue eyes, making Statement I not necessarily true. Statement III lacks evidence linking boys to brown eyes specifically. Thus, only Statement II is logically necessary based on the provided facts.