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    Question

    In a college, 20% of the students are ineligible to vote.

    Among the eligible voters, 45% are girls. During the election, one-third of the eligible girl voters and four-elevenths of the eligible boy voters participated in the voting. What is the ratio of the number of boys to girls who cast their vote in the college election?
    A 2:5 Correct Answer Incorrect Answer
    B 5:4 Correct Answer Incorrect Answer
    C 4:3 Correct Answer Incorrect Answer
    D 3:7 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of students in the city be '100n'

    Number of students eligible for voting = 0.8 X 100n = '80n'

    Number of eligible girls voters = 0.45 X 80n = '36n'

    Number of eligible boys voters = 80n - 36n = '44n'

    Number of boys who vote = (4/11) X 44n = '16n'

    Number of girls who vote = (1/3) X 36n = '12n'

    Required ratio = 16n:12n = 4:3

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