Transitive price comparison reasoning: given 'Blueberries cost more than strawberries' and 'Blueberries cost less than raspberries', determine whether 'Raspberries cost more than strawberries and blueberries' is true
Logical Reasoning
Logical Problems
Difficulty: Easy
Choose an option
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ATrue
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BFalse
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CUncertain (insufficient data)
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DTrue only if strawberries equal blueberries
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EFalse unless raspberries equal blueberries
Answer
Correct Answer: True
Explanation
Given data
- B > S (Blueberries > Strawberries)
- R > B (since Blueberries < Raspberries)
Concept/Approach (why this method)
Apply order transitivity on 'cost more than': if R > B and B > S, then R > S and R > B.
Step-by-Step deduction1) From B > S and R > B, infer R > S.2) We already have R > B; combine to yield 'R > S and R > B'.
Verification/Alternative
Construct sample numbers (S=1, B=2, R=3) → statement holds.
Common pitfalls
- Assuming 'and' requires extra information—here transitivity suffices.
Final AnswerTrue