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Part 1: This university granted less than 10% of the bachelor's and master's degrees in chemistry throughout the state.

% of bachelor's degree granted in chemistry = 9%
% of master's degree granted in chemistry = 2%

% of bachelor's and master's degree granted in chemistry = average of 9% + 2% = (9+2)/2 = 5.5%

Hence, the answer is Yes.

Part 2: All the students at this university who achieve bachelor's degrees in engineering go on to pursue master's degrees in engineering.


It is a possibility that students who achieved a master's degree in engineering have come from a different university. Just because % state share of master's in engineering is higher than bachelor's in engineering, it is not necessary that all students who achieved a bachelor's degree opted for a master's degree.

Hence, answer is No.

Part 3: This university granted a bigger share of the state's bachelor's degrees than master's degrees in all but one department.

There are two departments in this university which have granted a bigger share of the state's bachelor's degrees than master's degrees.

These are Engineering and History.

Hence, the answer is No.
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A. This university granted less than 10% of the bachelor's and master's degrees in chemistry throughout the state.


bachelor's degree in chemistry (State share) = 9%

master's degree in chemistry (State share) = 2%

The statement is TRUE



B. All the students at this university who achieve bachelor's degrees in engineering go on to pursue master's degrees in engineering.

Though percentage for master's degrees in engineering is higher than percentage for bachelor's degrees in engineering, the base for both the parameters could be different.

Therefore,it can't be ascertained that All the students at this university who achieve bachelor's degrees in engineering go on to pursue master's degrees in engineering.

The statement is FALSE



C. This university granted a bigger share of the state's bachelor's degrees than master's degrees in all but one department.

This university granted a bigger share of the state's bachelor's degrees than master's degrees in all but TWO departments ,

ie, ENGINEERING & HISTORY

The statement is FALSE
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Official Explanation

This university granted less than 10% of the bachelor's and master's degrees in chemistry throughout the state.

Since the university granted less than 10% of the bachelor's degrees and less than 10% of the master's degrees, it must have granted less than 10% of the total degrees.

Answer: Yes


All the students at this university who achieve bachelor's degrees in engineering go on to pursue master's degrees in engineering.

We don't know the actual number of students who pursue bachelor's or master's degrees at this university, but even if we did, we wouldn't know how many of the students with bachelor's degrees chose to switch fields or switch schools for their master's degrees.

Answer: No


This university granted a bigger share of the state's bachelor's degrees than master's degrees in all but one department.

There were two departments—engineering and history—where the university's state share was greater for master's degrees than for bachelor's degrees.

Answer: No
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For statement 2 i marked "No" because even if the bases were same let's say 100 in each year

Engineering bachelors would be 21 and masters would be 28. But all those 28 could come from other fields. is that right?

Or if bases were diff- lets say 100 and 50
bachelors would be 21 and masters would be 14. so not necessary
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