# The logic problems in this set present you with three true statements: Fact 1, Fact 2 and Fact 3. Then you are given three more statements (labelled I

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The logic problems in this set present you with three true statements: Fact 1, Fact 2 and Fact 3. Then you are given three more statements (labelled I, II, III), and you must determine which of these, if any, is also a fact. One or two of the statements could be true; or none of the statements could be true.

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 fist 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:

1. Only II
2. Only I and III
3. Only II and III
4. None of the statements is a known fact
5.

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Correct Answer - Option 1 : Only II

In the given 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.

Therefore, Option 1 is the correct answer.