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    Question

    If 'x' is the lowest positive integer divisible by 12,

    25 and 30, then find the second smallest positive integer which is divisible by all the three given numbers?
    A 600 Correct Answer Incorrect Answer
    B 900 Correct Answer Incorrect Answer
    C 1200 Correct Answer Incorrect Answer
    D 1500 Correct Answer Incorrect Answer

    Solution

    Lowest positive integer divisible by 12, 25 and 30 = LCM (12, 25, 30) So, LCM of (12, 25, and 30) = 2² × 3¹ × 5² = 300 Therefore, the next larger number which is divisible by all the three given numbers = 2 × 300 = 600

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