Ordered relations: Z > T, T < M, M < J. Which conclusions follow? I) T < J; II) J < Z.
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 I follows
Explanation
Introduction / Context:We must propagate inequalities through a chain to test conclusions.
Given Data / Assumptions:
- Z > T
- T < M
- M < J
Concept / Approach:From T < M and M < J, we infer T < J. No direct relation compares J and Z from the given set.
Step-by-Step Solution: T < M and M < J ⇒ T < J (I true). Z > T does not fix J vs Z (II not provable).
Verification / Alternative check:Counterexample for II: pick values T=0, M=1, J=2, Z=1.5; then J (2) is not < Z (1.5).
Why Other Options Are Wrong:II does not necessarily hold; only I follows.
Common Pitfalls:Assuming transitivity across unrelated branches.
Final Answer:If only conclusion I follows