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    Question

    The smallest number which when added to 10000 becomes

    divisible by 20, 24 and 30 is
    A 80 Correct Answer Incorrect Answer
    B 200 Correct Answer Incorrect Answer
    C 20 Correct Answer Incorrect Answer
    D 83 Correct Answer Incorrect Answer

    Solution

    ATQ,

    First, find LCM of 20, 24, and 30: Prime factors: 20 = 2┬▓ ├Ч 5 24 = 2┬│ ├Ч 3 30 = 2 ├Ч 3 ├Ч 5 тЗТ LCM = 2┬│ ├Ч 3 ├Ч 5 = 120 Now divide 10000 by 120: 10000 ├╖ 120 = 83 remainder 40 So, we need to add (120 - 40) = 80 to make it divisible

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