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    Question

    A number is 2/5 more than 33 times its reciprocal. What is

    the number?
    A 5 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number be x.

    x – 33/x = 2/5

    ⇒ (x² – 33)/x = 2/5

    Cross-multiplying:

    5x² – 165 = 2x

    ⇒ 5x² – 2x – 165 = 0

    Factorizing:

    5x² – 25x + 23x – 165 = 0

    5x(x – 5) + 33(x – 5) = 0

    (5x + 33)(x – 5) = 0

    So, x = –33/5 or x = 5

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