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    The sixth largest three-digit odd number among those with all digits distinct is
    Question

    The sixth largest three-digit odd number among those with all digits distinct is

    A.

    989

    B.

    987

    C.

    973

    D.

    971

    Correct option is C

    Given:
    We need the descending list of three-digit odd numbers whose three digits are all different, and pick the 6th largest.

    Formula / Logic Used:
    Scan odd numbers from largest (999 downward), skip any number with repeated digits, and count distinct-digit odd numbers until the 6th is reached.

    Solution:
    Checking odd numbers from the top (skipping those with repeated digits):
    999 (repeat) — skip
    997 (repeat) — skip
    995, 993, 991, 989 (repeats) — skip
    987 → distinct (1st)
    985 → distinct (2nd)
    983 → distinct (3rd)
    981 → distinct (4th)
    979, 977 (repeats) — skip
    975 → distinct (5th)
    973 → distinct (6th)

    Correct Answer: (c) 973

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