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    Question

    How many numbers between 100 and 500 are divisible by

    both 4 and 6?
    A 25 Correct Answer Incorrect Answer
    B 33 Correct Answer Incorrect Answer
    C 35 Correct Answer Incorrect Answer
    D 40 Correct Answer Incorrect Answer

    Solution

    A number divisible by both 4 and 6 must be divisible by LCM(4, 6) = 12. First number divisible by 12 in the range = 108. Last number divisible by 12 in the range = 492. Number of terms = [(492 - 108)/12] + 1 = (384/12) + 1 = 33. Correct Option: b

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