Statements: I < O = U > Y ≥ A ≥ D > H ≥ L
Conclusions:
I. L < Y
II. O ≥ A
In this question, the relationship between different element is shown in the statements. The statements are followed by two conclusions. Give answer:
Correct Answer :
If only conclusion I is true
Solution :
The correct answer is If only conclusion I is true.
To determine which of the conclusions logically follow from the given statements, let us analyze the relationships between the elements step-by-step.
Given Statement:
I < O = U > Y ≥ A ≥ D > H ≥ L
Analyzing Conclusion I (L < Y):
Let us find the path connecting Y and L from the statement:
Y ≥ A ≥ D > H ≥ L
We can simplify this relationship as follows:
Since Y ≥ A and A ≥ D, we have Y ≥ D.
Since D > H and H ≥ L, we have D > L.
Combining these simplified relations, we get:
Y ≥ D > L
Because of the strict inequality (>) between D and L, we can conclude that:
Y > L
This can be rewritten as:
L < Y
Therefore, conclusion I is true.
Analyzing Conclusion II (O ≥ A):
Let us find the path connecting O and A from the statement:
O = U > Y ≥ A
Since O is equal to U, we can substitute O for U:
O > Y ≥ A
This tells us that O is strictly greater than Y, and Y is greater than or equal to A. Therefore, O must be strictly greater than A:
O > A
The conclusion states that O ≥ A, which is incorrect because we established a strict inequality (O > A).
Therefore, conclusion II is false.
Conclusion:
Since only conclusion I is logically true, the correct option is "If only conclusion I is true".
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