📘 Quiz

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Question 1 / 2
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1
Person A is taller than Person B. Person C is taller than Person D. Person D is shorter than Person E. Person B and Person E have exactly the same height. Which statement must be true?
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Solution: Given: Person A > Person B Person C > Person D Person D < Person E Person B = Person E From the given facts: 1. Person A > Person B 2. Person B = Person E So, Person A > Person E And since Person E = Person B, Person A > Person B = Person E Now, given Person C > Person D and Person D < Person E This implies Person C > Person D < Person E But we cannot conclude the exact order between Person C and Person E or Person A. However, we can deduce that Person A > Person B and Person B = Person E > Person D So, Person A > Person D or Person A > Mario (assuming Mario as Person D) Therefore, the statement that 'Person A is taller than Person D' must be true.
2
Given that A is younger than B and C is younger than A, determine the validity of the statement that C is younger than B.
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Solution: Step 1: Establish the given relationships: A < B and C < A. Step 2: Use transitive property to determine the relationship between C and B. Step 3: Since C < A and A < B, it follows that C < B. Step 4: Therefore, the statement that C is younger than B is true.
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