In a quiz competition, if X scored more than Y but less than Z, and W scored les

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Question: In a quiz competition, if X scored more than Y but less than Z, and W scored less than Y, who scored the highest?

Options:

Correct Answer: Z

Solution:

Z scored the highest as X is less than Z and more than Y.

In a quiz competition, if X scored more than Y but less than Z, and W scored less than Y, who scored the highest?

In a quiz competition, if X scored more than Y but less than Z, and W scored less than Y, who scored the highest?

Step 1: Identify the scores of each participant based on the information given.
Step 2: We know that X scored more than Y, so we can write: Y < X.
Step 3: We also know that X scored less than Z, so we can write: X < Z.
Step 4: From the above two steps, we can combine the information: Y < X < Z.
Step 5: Next, we know that W scored less than Y, so we can write: W < Y.
Step 6: Now we have the order of scores: W < Y < X < Z.
Step 7: Since Z is the highest in this order, we conclude that Z scored the highest.

Inequalities – Understanding the relationships between different scores based on given conditions.
Logical reasoning – Using deductive reasoning to determine the highest score based on comparative statements.