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    Question

    ‘N’ is the largest three-digit number that leaves 1 as

    a remainder when divided by 16, 6 and 9. Find the sum of digits of ‘N’.
    A 20 Correct Answer Incorrect Answer
    B 19 Correct Answer Incorrect Answer
    C 17 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    LCM of (16, 6 and 9) = 144
    Largest 3-digit number that is divisible by 144 = 144 × 6 = 864
    So, N = 864 + 1 = 865
    So, sum of digits of 'N' = 8 + 6 + 5 = 19

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