Multiple Choice Questions on If x is the smallest natural number that is divisible by both 24 and 30 whereas y is the largest nat........... for UPSC EPFO Exam Preparation

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Multiple Choice Questions

If x is the smallest natural number that is divisible by both 24 and 30 whereas y is the largest nat...........

Quantitative Aptitude Number System
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    If x is the smallest natural number that is divisible by both 24 and 30, whereas y is the largest natural number that divides both 36 and 100, then what is the value of x — y ?

    This questions was previously asked in
    EPFO EO AO 2023
    View All EPFO Previous Year Papers

    116

    Correct Answer

    124

    Incorrect Answer

    128

    Incorrect Answer

    132

    Incorrect Answer
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    Explanation:

    - To find x, we calculate the Least Common Multiple (LCM) of 24 and 30.

    - LCM(24, 30) = 120.

    - To find y, we calculate the Greatest Common Divisor (GCD) of 36 and 100.

    - GCD(36, 100) = 4.

    - The value of x - y is:

    - 120 - 4 = 116.

    - Options:

    - Option 1: 116 (Correct Answer)

    - Option 2: 124

    - Option 3: 128

    - Option 4: 132

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