Multiple choice

Passage

Directions: Read the information carefully and answer the question that follows. In a sports event in Delhi, schools from all over the country have arrived for participation. Five of those schools (A, B, C, D and E) have been provided accommodation at XYZ hostel, which is a five storey building whose ground floor is named as the first floor and top floor is named as the fifth floor. School A has been given rooms at the top floor, school B has been given rooms at the fourth floor and so on in the same order. School E has been given rooms at the first floor. The number of students from each school is different. Some of them are boys and some of them are girls. The total number of students from all these schools is 156. All these five schools are from different cities, i.e. Jaipur, Patna, Pune, Ropar and Indore. The school from Patna is staying at the floor which is three floors above the floor of school from Indore. The school from Jaipur is staying at the floor which is immediately below the floor of School C. School A arrived with 27 students. The school from Pune arrived with 16 girls and some boys. The number of boys in the school from Ropar and the school from Patna is the same. The number of students that arrived with the school from Indore is 20 less than the number of students that arrived from school from Jaipur. The ratio of girls of the school from Patna to the boys of school from Jaipur is 4 : 5. The school at the fourth floor has 6 students more than the school staying at the first floor. The ratio of boys to girls of the school from Ropar is 5 : 4 and that of the school from Pune is 3 : 4. The total number of boys from all the schools is 4 less than the total number of girls.

Find the average number of girls in all the schools combined.

  1. 16

  2. 17

  3. 18

  4. 19

  5. 20

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A Correct answer
AI explanation

The passage establishes that the total number of students is 156 and that the total number of boys is 4 less than the total number of girls. Using the sum of parts, the total number of girls is 156 plus 4 divided by 2, which equals 80. The average number of girls across the five schools is the total number of girls divided by 5, which equals 80 divided by 5, or 16.