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    Question

    What is the least perfect square divisible by 15, 18, 25

    and 30? Also, find the remainder when this number is divided by 77.
    A 53 Correct Answer Incorrect Answer
    B 14 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 27 Correct Answer Incorrect Answer

    Solution

    ATQ,

    LCM of 15, 18, 25 and 30 = 450

    Since, 450 = (2 ├Ч 3 ├Ч 3 ├Ч 5 ├Ч 5)

    To convert this to a perfect square, we multiply by 2

    So, required number = 450 ├Ч 2 = 900

    900 ├╖ 77 = 11 ├Ч 77 + 53

    So, desired remainder = 53

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