Statements: A ≤ P > N ≥ G=B; M> N≥ I =L<Q
Conclusions : I. L≤G II. G<M
In these questions, the relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusions based on the given statements and select the appropriate answer:
Correct Answer :
If only conclusion II is true.
Solution :
The correct answer is: If only conclusion II is true.
Let us analyze the given statements and conclusions step-by-step.
Step 1: Analyze the given statements
We are given two statements:
1)
2)
Step 2: Evaluate Conclusion I ()
To find the relationship between and , we look for a common element in both statements. The common element is .
From Statement 1, we have:
From Statement 2, we have:
, which simplifies to .
Since both and are less than or equal to ( and ), there is no direct path or definitive relationship between and . Therefore, Conclusion I cannot be established as definitely true.
Step 3: Evaluate Conclusion II ()
To find the relationship between and , we again connect them through the common element :
From Statement 1, we have:
(or )
From Statement 2, we have:
Combining these two inequalities, we get:
This simplifies to:
, which is equivalent to .
Therefore, Conclusion II is definitely true.
Conclusion:
Since only Conclusion II is true, the correct option is If only conclusion II is true.
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