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Fact 1: Jessica has four children
Fact 2: Two children have blue eyes, and two children are brown eyes.
Fact 3: The child has half girls
If the facts of the first three statements are true, then which of the following statements should be?
I. At least one girl has blue eyes
II. Two children are boys
III. Boys have brown eyes
  • a)
    Only II
  • b)
    I and III
  • c)
    II and III
  • d)
    No statement is a known fact
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Fact 1: Jessica has four childrenFact 2: Two children have blue eyes,...
Since half of the four children are girls, there will be two boys. It is not clear whether children have blue or brown eyes.
Hence, the correct option is (A)
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Most Upvoted Answer
Fact 1: Jessica has four childrenFact 2: Two children have blue eyes,...
Given facts:
Fact 1: Jessica has four children
Fact 2: Two children have blue eyes, and two children have brown eyes.
Fact 3: The child has half girls

Explanation:
Let's analyze each statement and see if they are true or not.

Fact 1: Jessica has four children
This statement is a given fact, so we know it is true.

Fact 2: Two children have blue eyes, and two children have brown eyes.
This statement is also a given fact. Since there are four children in total, and two have blue eyes and two have brown eyes, this statement is true.

Fact 3: The child has half girls
This statement means that out of the four children, half of them are girls. Since half of four is two, this means that there are two girls among Jessica's children. Therefore, this statement is true as well.

Analysis:
Now let's analyze the given statements and see which ones are true based on the given facts.

I. At least one girl has blue eyes
We know that there are two girls among Jessica's children, and two children have blue eyes. Since there are two girls, and the statement says "at least one girl," we can conclude that this statement is true.

II. Two children are boys
We know that Jessica has four children in total, and half of them are girls. Since half of four is two, this means that there are two girls. Therefore, the remaining two children must be boys. So, this statement is also true.

III. Boys have brown eyes
We know that there are two children with blue eyes and two children with brown eyes. However, the statement does not provide any information about the eye color of boys specifically. So, we cannot determine if this statement is true or not based on the given facts.

Conclusion:
Based on the given facts, the following statements are true:
I. At least one girl has blue eyes
II. Two children are boys

Therefore, the correct answer is option 'A' - Only II.
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Fact 1: Jessica has four childrenFact 2: Two children have blue eyes, and two children are brown eyes.Fact 3: The child has half girlsIf the facts of the first three statements are true, then which of the following statements should be?I. At least one girl has blue eyesII. Two children are boysIII. Boys have brown eyesa)Only IIb)I and IIIc)II and IIId)No statement is a known factCorrect answer is option 'A'. Can you explain this answer?
Question Description
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