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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.

    In school B, if 24 sweets are given to 1 boy and 16

    sweets given to 1 girl, then find the Total sweets given to all boys and girls 
    A 3556 Correct Answer Incorrect Answer
    B 3576 Correct Answer Incorrect Answer
    C 3756 Correct Answer Incorrect Answer
    D 3736 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 Sweets given to all boys = 24 × 77 = 1848 Sweets given to all girls = 16 × 108 = 1728 Total sweets given to all boys and girls = 1848 + 1728 = 3576

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