Ordered relations: P ≥ Q = R > S > T. Which conclusions follow? I) P ≥ T; II) T < Q.

Difficulty: Easy

Correct Answer: If both conclusions I and II follow

Explanation:


Introduction / Context:
Convert the chain into relative ordering and test the targets P vs T and T vs Q.


Given Data / Assumptions:
P ≥ Q, Q = R, R > S > T.


Concept / Approach:
Because Q = R and R > T, certainly Q > T. Also P ≥ Q and Q > T ⇒ P ≥ T.


Step-by-Step Solution:
T < S < R = Q ≤ P. Hence I) P ≥ T (true) and II) T < Q (true).


Verification / Alternative check:
Plug values, e.g., T=1, S=2, R=3, Q=3, P=3 or 4. Both conclusions hold.


Why Other Options Are Wrong:
Not “only one” or “neither”; both are valid.


Common Pitfalls:
Overlooking that ≥ with a superior element still implies ≥ when compared to a strictly smaller element.


Final Answer:
If both conclusions I and II follow

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