Question

    If five even consecutive numbers are arranged in

    ascending order then find the third number. Statement I: Third largest number is 120% of the smallest number. Statement II: Difference between 4th largest number and 3rd smallest number is 15. For each of the following questions statements I and II are given. Use the data of those statements and then determine which of the following statements is necessary to answer the question:
    A Statement I is alone sufficient to answer the question. Correct Answer Incorrect Answer
    B Statement II is alone sufficient to answer the question. Correct Answer Incorrect Answer
    C Either Statement I or statement II is sufficient to answer the question. Correct Answer Incorrect Answer
    D Neither Statement I nor statement II is sufficient to answer the question. Correct Answer Incorrect Answer
    E Both Statements I and II are necessary to answer the question. Correct Answer Incorrect Answer

    Solution

    Let 5 consecutive even number be x, x+2, x+4, x+6, x+8. Statement I: => x + 4 = 120% of x => 5x + 20 = 6x => x = 20 Therefore the third number is = x + 4 = 20 + 4 = 24 Statement II: => (x + 4) - (x + 2) = 15 => 2 = 15 Therefore, only Statement I is sufficient to answer the question.

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