Must be TrueDiff: Easy

Logic Breakdown

Passage Summary: A school district hired 30% more teachers, but the average class size didn't drop at all.

Reasoning: The school system increased its teacher count by 30 percent, yet the average number of students per teacher remained exactly the same.

Analysis: This is a mathematical inference question. If the number of teachers (the denominator in the ratio) went up by 30% and the ratio stayed the same, the number of students (the numerator) must have also increased by exactly 30%. If the student population had stayed the same or grown by a smaller percentage, the ratio would have decreased. Look for an answer that acknowledges the proportional increase in the student population to match the teacher increase.

Passage Stimulus

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11.

If the statements above are true, then on the basis of them which one of the following must also be true?

Correct Answer
B
B follows directly: with a 30% increase in teachers and an unchanged students-per-teacher average, the total number of students must have increased as well.
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