Multiple Choice Questions on The highest four digit number which is divisible by each of the numbers 16 36 45 48 is ........ for CDS Exam Preparation

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Multiple Choice Questions

The highest four digit number which is divisible by each of the numbers 16 36 45 48 is ........

Quantitative Aptitude (CDS) Number System
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    The highest four-digit number which is divisible by each of the numbers 16, 36, 45, 48 is

    9180

    Incorrect Answer

    9360

    Correct Answer

    9630

    Incorrect Answer

    9840

    Incorrect Answer
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    Explanation:

    LCM of 16,36,45 & 48
    16 = 2 x 2 x 2 x 2
    36 =2 x 3 x 2 x 3
    45 = 3 x 3 x 5
    48 = 2 x 2 x 2 x 2 x 3
    LCM = 2 x 2 x 2 x 2 x 3 x 3 x 5 = 720
    On dividing 9999 (highest 4 digit no.) by 720, we get 639 as remainder,
    Hence, required number = 9999 - 639 = 9360

    By: Munesh Kumari
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