Multiple Choice Questions on The LCM and the HCF of the numbers 28 and 42 are in the ratio ........ for HCS Exam Preparation

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Multiple Choice Questions

The LCM and the HCF of the numbers 28 and 42 are in the ratio ........

Quantitative Aptitude (HCS) LCM, HCF
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    The LCM and the HCF of the numbers 28 and 42 are in the ratio:

    6 : 1

    Correct Answer

    2 : 3

    Incorrect Answer

    3 : 2

    Incorrect Answer

    7 : 2

    Incorrect Answer
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    Explanation:

    Numbers, x = 28, y = 42 

    HCF (28, 42)
    ⇒difference = 42 – 28 = 14
    ⇒ For HCF of any numbers take their difference.
    HCF will be either the factor of that difference or the difference itself.
    Now, 
    LCM of 28, 42
    ∴ 14 × 2 × 3 = 84
    ⇒ LCM : HCF
    84 : 14
    6 : 1
    Hence, option 1 is the correct answer.

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