Question

    ‘N’ is the largest three-digit number that leaves 2 as

    a remainder when divided by 11, 13 and 4. Find the sum of digits of ‘N’.
    A 14 Correct Answer Incorrect Answer
    B 15 Correct Answer Incorrect Answer
    C 16 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    LCM of (11, 13 and 4) = 572
    Largest 3-digit number that is divisible by 572 = 572 × 1 = 572
    So, N = 572 + 2 = 574
    So, sum of digits of 'N' = 5 + 7 + 4 = 16

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