Instructions

Each problem, consists of a problem followed by two Statements T and II. Decide whether the data in the statements are sufficient to answer the question.

Question 117

Last year $$\frac{4}{5}$$ of the applicants for a job on a police force passed the physical examination. If $$\frac{3}{4}$$ of the applicants who passed the physical examination also passed the written examination, how the applicants passed both examinations?
I. The number of applicants who did not either examination was equal to the number who passed the physical examination only.
II. There were a total of 100 applicants.

Solution

I. The number of applicants who did not either examination was equal to the number who passed the physical examination only.
II. There were a total of 100 applicants.

Let total applicants that apply = x

passed physical exam = 4/5 x

Written exam pass = 3/4 * 4/5 x = 3/5 x

The applicants passed both examinations is 3/5 x .

We need only x i.e. total number of applicants.

From Statement 2, we can get that, so alone Statement 2 is sufficient.

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