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    Question

    Find the smallest 4-digit number which when divided by

    10, 15, 20, 25, 30 leaves remainder 9.
    A 1125 Correct Answer Incorrect Answer
    B 1209 Correct Answer Incorrect Answer
    C 1360 Correct Answer Incorrect Answer
    D 1436 Correct Answer Incorrect Answer

    Solution

    According to the question, the smallest 4-digit number which when divided by 10, 15, 20, 25, and 30 leaves a remainder of 9.   = (LCM of 10, 15, 20, 25, 30) K+9 = 300K+9 Putting K = 4, = 300x4+9 = 1209

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