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    Question

    TYPE 48

    Average of four numbers is 16. Sum of smallest and

    largest number is 48. If difference between other two numbers is 2, then find the square of second smaller number.
    A 81 Correct Answer Incorrect Answer
    B 196 Correct Answer Incorrect Answer
    C 225 Correct Answer Incorrect Answer
    D 64 Correct Answer Incorrect Answer
    E 49 Correct Answer Incorrect Answer

    Solution

    Let four numbers in increasing order is a, b, c and d. => a + b + c + d = 4 x 16 = 64 => a + d = 48 => b + c = 16 According to question, => c – b = 2 => b = 7, c = 9 => b² = 49

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