Examine the logical relationships defined in the following statement and evaluate the given conclusions.
Statement:
P ≥ Q > R = S < T ≤ U < V
Determine which of the following conclusions logically follow.
Conclusions:
I. P > R
II. T > S
Correct Answer :
Only Conclusion II follows.
Only Conclusion II follows.
Solution :
Given Statement:
P ≥ Q > R = S < T ≤ U < V
Analyse Conclusion I:
From the statement,
P ≥ Q and Q > R
This implies P ≥ R, but P may be equal to R (if P = Q).
Hence, P > R is not definitely true.
Therefore, Conclusion I does not follow.
Analyse Conclusion II:
R = S and S < T
Therefore, T > S.
Hence, Conclusion II follows.
Answer: Only Conclusion II follows. (Option 2)
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