Ordered relations: Given N = P, P < F, F > L, and L = K, determine which conclusion follows: I) F = K; II) F > K.
Verbal Reasoning
Mathematical Operations
Difficulty: Easy
Choose an option
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AIf only conclusion I follows
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BIf only conclusion II follows
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CIf both conclusions I and II follow
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DIf neither conclusion I nor II follows
Answer
Correct Answer: If only conclusion II follows
Explanation
Introduction / Context:This is a simple chain-of-inequalities problem. We translate the given relations into an order and test each conclusion.
Given Data / Assumptions:
- N = P
- P < F
- F > L
- L = K
Concept / Approach:From L = K and F > L, we get F > K. Equality F = K contradicts F > K, so it cannot be true.
Step-by-Step Solution: L = K F > L → F > K Therefore: I) F = K (false); II) F > K (true).
Verification / Alternative check:Draw a simple order line: K(=L) below F, confirming F is strictly greater.
Why Other Options Are Wrong:Only II follows; I does not, and not “both”.
Common Pitfalls:Confusing “>” with “≥”; here the relation is strict.
Final Answer:If only conclusion II follows