Discussion
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 statement/(s) 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.
Choose the correct answer from the options given below :
Answer: A
Only statement II must be a fact, so the answer is Only II.
Half of four children are girls, so two are girls and two are boys. Statement II therefore follows from Fact 1 and Fact 3.
Statement I is not forced: both blue-eyed children could be boys. Statement III is not forced either, since the boys could be the blue-eyed pair. So only II holds, and options containing I or III are wrong.
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