Three consecutive integers X, Y and Z are not necessarily in that orde...
To determine the highest number among three consecutive integers X, Y, and Z, we need to analyze the given information in the statements.
Statement I: The average of X and Y is Z.
Statement II: X is greater than Y.
Let's evaluate each statement separately and then combine them to determine the highest number.
Statement I: The average of X and Y is Z.
This statement implies that Z is the midpoint between X and Y. Since the integers are consecutive, the difference between X and Y is always 1. So, the average of X and Y will always be the number in between them.
For example, if X = 2, then Y = 1 and Z = 1.5. Here, Z is the average of X and Y.
We can conclude that Statement I alone is not sufficient to determine the highest number among X, Y, and Z.
Statement II: X is greater than Y.
This statement provides information about the relationship between X and Y. It tells us that X is greater than Y, but it does not give any specific values for X, Y, or Z.
We can conclude that Statement II alone is not sufficient to determine the highest number among X, Y, and Z.
Combining the statements:
Neither statement provides a specific value for X, Y, or Z. Therefore, combining the statements does not provide any additional information to determine the highest number among X, Y, and Z.
Conclusion:
From the given information, we cannot determine the highest number among X, Y, and Z. Therefore, the answer is (a) 1.
Three consecutive integers X, Y and Z are not necessarily in that orde...
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