Based on the statements provided, determine the validity of the two conclusions that follow them.
Statements:
X > C = V ≥ B, B < N = M, Z > X
Conclusions:
I: X ≤ M
II: Z > B
Correct Answer :
If only conclusion II is correct.
Solution :
The correct option is If only conclusion II is correct.
Let us analyze the given statements and check the validity of each conclusion step-by-step.
Given Statements:
1.
2.
Analysis of Conclusion I:
From the given statements, the path connecting to goes through :
and
Since the inequality signs between and are in opposite directions ( and ), no definite relationship can be established between and .
Hence, Conclusion I does not follow.
Analysis of Conclusion II:
Combining the relationship from to :
Since all the inequality signs from to point in the same direction, with strict inequality signs () present in the chain, it strictly follows that:
Hence, Conclusion II is definitely correct.
Therefore, only conclusion II is correct.
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.