Below are given some facts & statements, read them and answer accordingly.

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.

This question was previously asked in
JKSSB SI Official Paper (Held On: 14 Dec 2022 Shift 2)
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  1. I only
  2. II only
  3. Both II and III
  4. Both I and II

Answer (Detailed Solution Below)

Option 2 : II only
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Detailed Solution

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According to the question,

Statement Correctness Reason
At least one girl has blue eyes Incorrect This could be a probable situation but not sure as maybe both boys have blue eyes and both girls have brown eyes.
Two of the children are boys. Correct This is a sure situation as among 4 children half are girls that mean other half being 2 are boys.
The boys have brown eyes. Incorrect Probable but not sure as maybe both girls has brown eyes and both boys have blue eyes, or one girl and one boy has brown eyes.

Thus, Only statement II is correct.

Hence, "Option 2" is the correct answer.

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