Direction: The given logic problem presents you with three true statements: Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (Labeled I, II and III) and you must determine which…
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Direction: The given logic problem presents you with three true statements: Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (Labeled I, II and III) and you must determine which of these, if any, a fact is also. One or two of the statements could be true; all of the statements could be true; or none of the statements could be true. Choose your answer based solely on the information given in the first three facts
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
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
- I only
- II only
- II and III only
- None of the statements is a known fact
Answer and explanation
Correct answer: B - II only
Half of 4 children are girls, so 2 are boys: II must be true. Both girls could have brown eyes, so I is not certain, and the boys could have blue eyes, so III is not certain. II only.
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CUSAT CAT Five-Year LL.B.
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