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    Question

    The number of students in class 'A' is 100, and the ratio

    of the number of girls to boys is 2:3. If the average number of boys in classes A and B is 105, and the average number of girls is 95, find the total number of students in class B.
    A 300 Correct Answer Incorrect Answer
    B 290 Correct Answer Incorrect Answer
    C 310 Correct Answer Incorrect Answer
    D 280 Correct Answer Incorrect Answer
    E 320 Correct Answer Incorrect Answer

    Solution

    Number of girls in class A = (2/5) × 100 = 40
    Number of boys in class A = (3/5) × 100 = 60
    Number of boys in class B = 105 × 2 - 60 = 210 - 60 = 150
    Number of girls in class B = 95 × 2 - 40 = 190 - 40 = 150
    Total number of students in class B = 150 + 150 = 300

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