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    Question

    In a society, 20% of residents enjoy swimming and 35%

    enjoy running. If 5% enjoy both activities and the rest, which amounts to 18 residents, enjoy neither, how many residents are there in total?
    A 21 Correct Answer Incorrect Answer
    B 15 Correct Answer Incorrect Answer
    C 36 Correct Answer Incorrect Answer
    D 25 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total number of residents be 100x Residents who enjoy both swimming and running = 0.05 × 100x = 5x Residents who enjoy only swimming = 20x - 5x = 15x Residents who enjoy only running = 35x - 5x = 30x Residents who enjoy at least one activity =15x + 30x +5x = 50x ATQ,

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