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KaranB1
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KaranB1
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KaranB1
A survey recently conducted at the Global Business School has thrown up two interesting findings.

Finding 1: In the last ten years, students attending Professor James’ Economics classes were more likely to score in the top 10% of the class than were other students

Finding 2: In the last ten years, most of the students who scored in the top 10% of the class did not take classes from Professor James.

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

A) The quality of classes conducted by Professor James has probably decreased

B) The number of students not taking classes from Professor James has increased over the last ten years

C) There must be some factor other than attending Professor James’ classes that can also make a student perform well in the subject

D) The overall quality of the students who have joined Global Business School in the last ten years has increased

E) Professor James needs to change his teaching methods if he wants more students to attend his classes

My reasoning if it helps anyone:

Imagine if we have 100 students in the program.

Professor James teaches 10% of these students (10 total). If 40% of his students made the top 10% of the program overall than that means 4 students made it.

The second finding tells us that the majority of the top 10% of overall students (10 students) did not attend Professor James class. If 4 students made it from Professor James class, then 6 students did not attend his class.

As we can see both findings can be correct. For the other professors teaching, perhaps only 5% of their class made the top 10% of students. Professor James is 50%, even though his total students are still the minority in the overall class's top 10%.

A) Not necessarily

B) It could have, but it also could have decreased or stayed the same.

C) Absolutely true. Since there are 6 students that did not attend Professor James class than there must be something else that contributed to their success.

D/E) Irrelevant
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