Speed ranking logic: given 'Mara runs faster than Gail' and 'Lily runs faster than Mara', evaluate the truth of 'Gail runs faster than Lily'
Logical Reasoning
Logical Problems
Difficulty: Easy
Choose an option
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ATrue
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BFalse
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CUncertain (tie possible)
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DTrue only if Mara slows down
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EFalse only if Lily equals Mara
Answer
Correct Answer: False
Explanation
Given data
- M > G (Mara faster than Gail)
- L > M (Lily faster than Mara)
Concept/Approach (why this method)
Use strict order transitivity on 'faster than': L > M > G ⇒ L > G.
Step-by-Step deduction1) From L > M and M > G, deduce L > G.2) The statement claims G > L, which contradicts L > G.
Verification/Alternative
No equalities or ties are stated; 'faster than' is strict, so contradiction stands.
Common pitfalls
- Overlooking transitivity; assuming cyclical speed relations (not possible under strict 'faster than').
Final AnswerFalse