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    Question

    There are 15 numbers such that average of first 12

    numbers is 65 while the average of last five numbers is 76. Find the 12th number, if the ratio between 11th and 12th number is 13:7, respectively.
    A 140 Correct Answer Incorrect Answer
    B 100 Correct Answer Incorrect Answer
    C 130 Correct Answer Incorrect Answer
    D Can't be determined Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Avg of first 12 numbers = 65 тЖТ Sum = 12 ├Ч 65 = 780 Avg of last 5 numbers = 76 тЖТ Sum = 5 ├Ч 76 = 380 11th : 12th = 13 : 7 тЖТ Let 11th = 13x, 12th = 7x тЖТ 11th + 12th = 20x So, Sum of 1st to 10th = 780 тИТ 20x No further info to find x тЗТ 12th = 7x canтАЩt be calculated Hence, CanтАЩt be determined (not enough data)

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