Instructions

Each Question consist of a problem followed by two statements marked as I and II .Decide whether data in the statements are sufficient to answer the questions . Mark answer as

Question 122

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

Solution

Let the total number of students = 5x

Number of students who passed physical test = 4x

Number of students who failed physical test = x

Let Number of students who passed the written test = 3x+y

=>Number of students who failed written test = 2x-y

From statement 2, we can say 5x=100 => x=20

From statement 1, we can say 3x-y = 3x+y => y =0

Number of students who passed both examinations =7x= 140

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