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 statements, let us analyze the relationships step-by-step.
Given Statement:
Analysis of Conclusion I:
Let us extract the inequality chain connecting and :
Since all the relational signs between and point in the same direction (strictly increasing or equal towards ), we can combine them to get:
This can also be written as . Therefore, Conclusion I is definitely correct.
Analysis of Conclusion II:
Let us extract the inequality chain connecting and :
Here, between and , we observe opposing inequality signs ( and ). Specifically, is greater than both and , which means no definite relation can be established between and .
Therefore, Conclusion II does not follow.
Conclusion:
Since only Conclusion I is true, the correct choice is Only conclusion I follows.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.