A community has college graduates, high school graduates, and persons who have finished their primary education. Which is the largest and smallest group of people?

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College Graduates and Primary Education

High School Graduates and Primary Education

Primary Education and College Graduates

College Graduates and High School Graduates

answer is B.

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Detailed Solution

Concept: Assume that there are x total residents in the village. Then, using the above fractions, determine the portion of the population according to their educational attainment. Finally, keep the denominator the same to get closer to the desired outcome.

of the participants are college graduates,

are high school grads, and

have completed their primary education, according to the information we have provided.
Which group of persons is the biggest and which is the smallest must be determined.

out of the population are college graduates.

out of the population are graduates from school.

persons are among those who have finished elementary school.
Assuming that there are x person’s overall in the hamlet, the remaining villagers are as follows:

We'll now make their denominators the same to determine the largest and smallest among them:
College graduates peoples

School Graduates people

Primary Education

Rest peoples of the village

As we can see, the numerator's biggest number is 16 and the denominator's smallest value is 3. The largest group is Primary Education, while the smallest is College Graduates.
Hence, the correct option is 2) High School Graduates and Primary Education

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