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    Question

    The average of four numbers is 90. Two of the numbers

    are equal (not least), and 40 more than the least number. If the 4th number is five times the least number then find the average of smallest and largest number.
    A 120 Correct Answer Incorrect Answer
    B 150 Correct Answer Incorrect Answer
    C 162 Correct Answer Incorrect Answer
    D 105 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the two equal numbers be ‘e’ each Therefore, least number = (e – 40) 4th number = 5(e – 40) According to the question, 5(e – 40) + e – 40 + e + e = 4 × 90 Or, 8e – 240 = 360 Or, e = 600/8 = 75 Therefore, 4 numbers are 75, 75, 35, and 175 Therefore, required average = (175 + 35)/2 = 105

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