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Question

Read the data carefully and answer the following questions: The number of boys in school A is 40% more than the number of teachers in the same school. The number of girls in school A is 84 which is equal to the average of number of teachers and boys in the same school. Ratio of number of girls in school A and B is 7:9 respectively and the sum of number of girls in school B and C is 140. School C has two more boys than school A and 11 more teachers than school B. Ratio of number of teachers and boys in school B is 13:11 respectively while sum of number of teachers and boys in school B is 168.

What is the difference between the number of teachers from school B and the average number of girls from school A and B?

A 3 Correct Answer Incorrect Answer
B 4 Correct Answer Incorrect Answer
C 5 Correct Answer Incorrect Answer
D 6 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the number of teachers in school A = 5x Then the number of boys in school A = 7x According to the question, => 5x + 7x = 84 × 2 => x = 14 So, number of teachers in school A = 5 × 14 = 70 Number of boys in school A = 7 × 14 = 98 Number of girls in school B = 84 × (9/7) = 108 Number of girls in school C = 140 – 108 = 32 Number of boys in school C = 98 + 2 = 100 Number of teachers in school B = 168 × (13/24) = 91 Number of boys in school B = 168 – 91 = 77 Number of teachers in school C = 91 + 11 = 102 Number of boys in school C = 98 + 2 = 100 Number of teachers from school B = 91 Average number of girls from school A and B = (84 + 108)/2 = 96 Required difference = 96 – 91 = 5

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