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    Question

    Find a number between 100 and 200 that leaves a

    remainder of 3 when divided by 8, 12, or 15. Once identified, determine the remainder when this number is divided by 17.
    A 4 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer

    Solution

    Let the number be n+3.
    This means that n is completely divisible by 8, 12, 15 or n is a multiple of LCM of 8, 12 and 15.
    => n is a multiple of 120
    Since the number lies between 100 and 200, the number must be 123.
    123 = 17x7 + 4
    Hence remainder = 4

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