Subject

    Quantitative Aptitude

    Topic

    Number

    LCM of two numbers is 1001 and their HCF is 13.If numbers are in the ratio of 7:11, then find the larger number?

    ক)
    51
    খ)
    91
    গ)
    143
    ঘ)
    169
    ঙ)
    None of these

    Explanation

    We know that, LCM × HCF = Product of numbers Since the numbers are in a ratio 7 : 11, Let the numbers be 7x and 11 x ∴ 7x × 11x= 1001 × 13 ⇒ 77x 2 = 1001 × 13 ⇒  x2  =  1001  ×  1377\Rightarrow \;{x^2}\; = \;\frac{{1001\; \times \;13}}{{77}} ⇒ x 2 = 13 × 13 ⇒ x = 13 So, the larger number = 11x = 11 × 13 = 143

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