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ashutosh_73
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­All of the students at Harrison University live in one of two 07 May 2024, 10:30
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75% (hard)

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61% (02:19) correct 39% (02:43) wrong based on 353 sessions

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­All of the students at Harrison University live in one of two residence complexes, either Pulham or Westerville. Although just a small fraction of the classes at Harrison are night classes, 38 percent of Harrison students take at least one night class. That figure is lower for Harrison students living in Westerville: Only 29 percent of those students take at least one night class.

If the statements above are true, which one of the following must also be true?

(A) More than 38 percent of the students at Harrison who live in Pulham take a night class.
(B) More than 50 percent of the students who take night classes at Harrison are from Pulham.
(C) More students at Harrison live in Westerville than live in Pulham.
(D) Harrison students living in Pulham are less likely than those living in Westerville to take more than one night class.
(E) Night classes at Harrison have larger emollments, on average, than day classes do.
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­All of the students at Harrison University live in one of two 09 May 2024, 23:34
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ashutosh_73
­All of the students at Harrison University live in one of two residence complexes, either Pulham or Westerville. Although just a small fraction of the classes at Harrison are night classes, 38 percent of Harrison students take at least one night class. That figure is lower for Harrison students living in Westerville: Only 29 percent of those students take at least one night class.

If the statements above are true, which one of the following must also be true?

(A) More than 38 percent of the students at Harrison who live in Pulham take a night class.
(B) More than 50 percent of the students who take night classes at Harrison are from Pulham.
(C) More students at Harrison live in Westerville than live in Pulham.
(D) Harrison students living in Pulham are less likely than those living in Westerville to take more than one night class.
(E) Night classes at Harrison have larger emollments, on average, than day classes do.
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­All of the students at Harrison University live in one of two 26 May 2024, 05:32
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Understanding the argument - ­
All of the students at Harrison University live in one of two residence complexes, either Pulham or Westerville. - Background info. 

Although just a small fraction of the classes at Harrison are night classes, 38 percent of Harrison students take at least one night class. - This talks about overall Harrison university. 38% of all students take at least one night class. 

That figure is lower for Harrison students living in Westerville: Only 29 percent of those students take at least one night class. - Premise about Wsterviell. 

What about Pulham? That percentage has to be more than 38% for the average to be at 38%. 

If the statements above are true, which one of the following must also be true?

(A) More than 38 percent of the students at Harrison who live in Pulham take a night class. - Ok. 

(B) More than 50 percent of the students who take night classes at Harrison are from Pulham. - No. 

(C) More students at Harrison live in Westerville than live in Pulham. - No such info is mentioned in the argument. 

(D) Harrison students living in Pulham are less likely than those living in Westerville to take more than one night class. - Out of scope.  

(E) Night classes at Harrison have larger emollments, on average, than day classes do. - "day classes" are out of scope. ­
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­All of the students at Harrison University live in one of two 04 Jun 2024, 09:12
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­All of the students at Harrison University live in one of two residence complexes, either Pulham or Westerville. Although just a small fraction of the classes at Harrison are night classes, 38 percent of Harrison students take at least one night class. That figure is lower for Harrison students living in Westerville: Only 29 percent of those students take at least one night class.

If the statements above are true, which one of the following must also be true?

(A) More than 38 percent of the students at Harrison who live in Pulham take a night class. - CORRECT. Deals with similar lot of people who live in Pulham.
(B) More than 50 percent of the students who take night classes at Harrison are from Pulham. - WRONG. Changess the set of people in question.  
(C) More students at Harrison live in Westerville than live in Pulham. - WRONG. Percentage and absolute number of students in a choice hardly make sense.
(D) Harrison students living in Pulham are less likely than those living in Westerville to take more than one night class. - WRONG. Double whammy!! A comparison and more than one class is out of question.
(E) Night classes at Harrison have larger emollments, on average, than day classes do. - WRONG. Irrelevant. 

This tests the weighted average concept.

Answer A.
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­All of the students at Harrison University live in one of two 29 Jan 2026, 20:47
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* All students live in Pulham or Westerville
* 38% of students take at least 1 night class
* Lower for Westerville students - 29% take at least 2 night class
Q: must be true?
A - Yes, this must be true for the average to be 38% of total students
B - No there could be a massive number of people that live in Westerville
C - We cannot conclude
D - no it should be more likely
E - cannot be concluded
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­All of the students at Harrison University live in one of two 29 Jan 2026, 23:30
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All of the students at Harrison University live in one of two residence complexes, either Pulham or Westerville. Although just a small fraction of the classes at Harrison are night classes, 38 percent of Harrison students take at least one night class. That figure is lower for Harrison students living in Westerville: Only 29 percent of those students take at least one night class.

If the statements above are true, which one of the following must also be true?

All students live in exactly one of two places: Pulham or Westerville. Overall, 38 percent of all students take at least one night class, but only 29 percent of Westerville students do.

(A) More than 38 percent of the students at Harrison who live in Pulham take a night class.

This must be true. The overall rate (38 percent) is a weighted average of the Pulham rate and the Westerville rate. Since Westerville’s rate is 29 percent, which is below 38 percent, Pulham’s rate has to be above 38 percent to bring the overall average up to 38 percent.

(B) More than 50 percent of the students who take night classes at Harrison are from Pulham.

Not required. Pulham can have a higher night class rate but still be a smaller group, so Westerville could still make up 50 percent or more of night class takers.

(C) More students at Harrison live in Westerville than live in Pulham.

Not required. The information gives percentages, not the sizes of Pulham and Westerville. Many different splits of students could still produce the 38 percent overall.

(D) Harrison students living in Pulham are less likely than those living in Westerville to take more than one night class.

Not required. We only know whether students take at least one night class, not whether they take more than one.

(E) Night classes at Harrison have larger emollments, on average, than day classes do.

Not required. The passage says night classes are a small fraction of classes, but it gives no data about average enrollment sizes.

Answer: (A)
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