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    Question

    Read the following information carefully and answer the questions given below. The Line graph given below shows the difference between the number of students and teachers of four different schools (A, B, C and D). Also the table given below shows the number of students and ratio of students and teachers of each school. (Note: n > m)

    What is the difference between the average number of students of school A and B together and the average number of teachers of school C and D together?

    A 535 Correct Answer Incorrect Answer
    B 685 Correct Answer Incorrect Answer
    C 205 Correct Answer Incorrect Answer
    D 445 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    In school A, Let number of students and teachers be 5x and 3x respectively. Now, 5x – 3x = 400 => x = 200 Total number of students = 5x = 1000 Total number of teachers = 3x = 600 Now, 2a = 1000 => a = 500 In school B, Let number of students and teachers be 7x and 9x respectively. Now, 9x – 7x = 320 => x = 160 Total number of students = 7x = 1120 Total number of teachers = 9x = 1440 Now, b + 340 = 1120 => b = 780 In school C, Here, m = 90 => n – m = 160   [n > m given] => n – 90 = 160 => n = 250 Total number of students = 90 Total number of teachers = 250 In school D, Let number of students and teachers be 4x and 5x respectively. Now, 5x – 4x = 100 => x = 100 Total number of students = 4x = 400 Total number of teachers = 5x = 500 Now, c2 = 400 => c = 20 Average number of students of school A and B together = (1000 + 1120)/2 = 1060 Average number of teachers of school C and D together = (250 + 500)/2 = 375 Required difference = 1060 – 375 = 685

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