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    Question

    The average of a set of 25

    numbers is 98. For the first 14 numbers, the mean is 84, and for the last 8 numbers, the mean is 112. Furthermore, the 17th number is 38.75% smaller than the 16th number, which is 33.33% greater than the 15th number. Calculate the difference between the 15th and 17th numbers.
    A 22 Correct Answer Incorrect Answer
    B 52 Correct Answer Incorrect Answer
    C 20 Correct Answer Incorrect Answer
    D 23 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let 15th number is тАШ3nтАЩ. So, 16th number = 4/3 ├Ч 3n = 4n And, 17th number = 0.6125 ├Ч 4n = 2.45n So, 3n + 4n + 2.45n = 98 ├Ч 25 тАУ 14 ├Ч 84 тАУ 112 ├Ч 8 = 378 Or, 9.45n = 378 Or, n = 40 Desired dierence = 3n тАУ 2.45n = 0.55n = 0.55 ├Ч 40 = 22

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