Directions: In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.
Statements: Y > U ≥ Z ≥ K = X ≤ B ≤ A
Conclusions:
I. U = X
II. U > X
Correct Answer :
Either conclusion I or II follow
Solution :
The correct answer is Either conclusion I or II follow.
Step-by-step Explanation:
Step 1: Analyze the given statement
The given combined inequality statement is:
Step 2: Derive the relationship between U and X
Let us extract the relevant path from to from the statement:
Since , we can substitute in place of :
Combining these inequalities gives the definitive relationship:
This combined inequality means that either is true OR is true.
Step 3: Evaluate the given conclusions
Conclusion I: (Individually false / Not definitely true)
Conclusion II: (Individually false / Not definitely true)
Step 4: Check for Either-Or condition
1. Both conclusions share the same elements ( and ).
2. Both conclusions individually cannot be declared definitely true based on the statement alone.
3. Together, the two options ( and ) cover all possibilities of the relation .
Therefore, Either conclusion I or II follow.
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