Logic consistency check on comparative ages: given 'Tanya is older than Eric' and 'Cliff is older than Tanya', evaluate the truth of 'Eric is older than Cliff'
Logical Reasoning
Logical Problems
Difficulty: Easy
Choose an option
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ATrue
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BFalse
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CUncertain (cannot be determined)
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DTrue only if Tanya and Cliff are twins
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ETrue only if all three are the same age
Answer
Correct Answer: False
Explanation
Given data
- T > E (Tanya older than Eric)
- C > T (Cliff older than Tanya)
Concept/Approach (why this method)
Use transitivity of the 'older than' relation: if C > T and T > E then C > E.
Step-by-Step deduction1) From C > T and T > E, conclude C > E.2) Statement to test says E > C, which directly contradicts C > E.
Verification/Alternative
No equalities allowed by 'older than'; contradiction is decisive.
Common pitfalls
- Reversing the order or assuming non-transitive relations.
Final AnswerFalse