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    Question

    The average of 7 consecutive odd numbers is 39. What is

    the smallest of these numbers?
    A 29 Correct Answer Incorrect Answer
    B 31 Correct Answer Incorrect Answer
    C 33 Correct Answer Incorrect Answer
    D 35 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    For consecutive odd numbers, the middle (4th) number = average. So 4th number = 39. Sequence: 1st, 2nd, 3rd, (4th) 39, 5th, 6th, 7th Difference between consecutive odd numbers is 2. So: 3rd = 39 − 2 = 37 2nd = 35 1st = 33 But we went backward incorrectly—let’s correct: 4th = 39 3rd = 39 − 2 = 37 2nd = 35 1st = 33 So smallest = 33 (Option C). Double-check calculation: yes.

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