Ordered relations: Y < J = P ≥ R > I. Which conclusion(s) definitely follow? I) J > I; II) Y < R.

Difficulty: Easy

Correct Answer: If only conclusion I follows

Explanation:


Introduction / Context:
We must see what is compelled about J vs I and Y vs R, given J equals P and P is at least R, which is strictly above I.


Given Data / Assumptions:

  • Y < J = P
  • P ≥ R > I


Concept / Approach:
From R > I and J = P ≥ R, J must be > I. But Y < J tells nothing definitive about Y vs R because R could be below or equal to J while Y might still be above or below R.


Step-by-Step Solution:
I) Since J = P ≥ R > I ⇒ J > I (true). II) From Y < J and R ≤ J, Y could be < R or > R depending on values. Not forced.


Verification / Alternative check:
Counterexample for II: Y=100, R=50, J=P=101, I any <50. Then Y > R, so II fails while premises hold.


Why Other Options Are Wrong:
Only I is certain; II is not determined.


Common Pitfalls:
Assuming “Y < J and R ≤ J” implies Y < R; it does not.


Final Answer:
If only conclusion I follows

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