Must be TrueDiff: Hardest
Logic Breakdown
Passage Summary: Every student lives in one of two buildings. Overall, 38% take night classes, but the percentage of night-class students in one building is lower than that overall average.
Reasoning: All students live in either Pulham or Westerville; 38% of the total student body takes night classes, but only 29% of the Westerville group takes night classes.
Analysis: This is a mathematical 'Must be True' question involving weighted averages. If you have two groups that make up a whole, and the average of the whole is 38%, one group cannot be below that average unless the other group is above it to balance things out. Since the Westerville group is below the 38% average (at 29%), the Pulham group must be above 38% to pull the total average up. Look for an answer that reflects this mathematical necessity regarding the Pulham residents.
Reasoning: All students live in either Pulham or Westerville; 38% of the total student body takes night classes, but only 29% of the Westerville group takes night classes.
Analysis: This is a mathematical 'Must be True' question involving weighted averages. If you have two groups that make up a whole, and the average of the whole is 38%, one group cannot be below that average unless the other group is above it to balance things out. Since the Westerville group is below the 38% average (at 29%), the Pulham group must be above 38% to pull the total average up. Look for an answer that reflects this mathematical necessity regarding the Pulham residents.
Passage Stimulus
Passage Redacted
Unlock Full Passage21.If the statements above are true, which one of the following must also be true?
Correct Answer
A
By weighted-average logic, if Westerville’s rate is 29% and the overall is 38%, then Pulham’s rate must be above 38% to make the combined average 38%.
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