Question

    In a class, 1/3 of the students are girls and rest are boys. If 3/5 of the girls and 1/5 of the boys are absent, what part of the total number of students are present?

    A 23/30 Correct Answer Incorrect Answer
    B 23/36 Correct Answer Incorrect Answer
    C 18/49 Correct Answer Incorrect Answer
    D 2/3 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total number of students in a class be x ∴ According to the question, Number of girls = 1/3 x and number of boys = x - 1/3 x = 2/3 x Number of girls who are absent = 3/5 ×1/3 x Thus, girls present = 2/5 ×1/3 x = 2/15 x Number of boys who are absent = 1/5 ×2/3 x Thus, boys present = 4/5 ×2/3 x= 8/15 x Total present = 2/15 x+  8/15 x=  10/15 x=  2/3 x

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