The table displays data on degrees granted by a California university

i) This university granted less than 10% of the bachelor's -9% and master's degrees- 2% in chemistry throughout the state- True

ii) All the students at this university who achieve bachelor's degrees in engineering go on to pursue master's degrees in engineering- False. We don't have absolute numbers of students in Bachelors and Masters in Engineering. We just have a state share for this one university and just bacuse master's share is more than bachelor's share, we cannot say that all bachelor's students go to master's since it is possible that not all bachelor's go for master's but the ones who do go for Master's in this university is higher than that number in that state
If 21/100=21% get bachelors degree and 14/50=28% get master's degree then we can see 14<21

iii) This university granted a bigger share of the state's bachelor's degrees than master's degrees in all but one department- false
There are two such departments where share of bachelor's < share of master's- History and Engineering department

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.

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

Answer : Yes Yes No