Assuming the truth of the given statements, decide which of the proposed conclusions (I and II) is/are definitely correct, and choose the option that corresponds to your findings.
Statements:
O ≥ B = X < Q ≤ P < F > L ≥ Z
Conclusions:
I. F > B
II. X < L
Correct Answer :
Only conclusion I follows
Solution :
Correct Answer: Only conclusion I follows
To determine which of the conclusions logically follow from the given statement, let us analyze the relationships between the elements step-by-step.
Given Statement:
Analyzing Conclusion I:
Extracting the relationship path from to :
Since all the inequality signs between and point in the same direction ( and ), and there is at least one strict inequality sign (), we can conclude that:
or
Thus, Conclusion I is definitely correct.
Analyzing Conclusion II:
Extracting the relationship path from to :
Notice the inequality signs between and : we have up to , but then the sign flips to between and . Because the inequality symbols are in opposite directions, no definite relationship can be established between and .
Thus, Conclusion II does not follow.
Conclusion:
Since only Conclusion I is true, the correct choice is Only conclusion I follows.
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