Subject

    Quantitative Aptitude

    Topic

    LCM & HCF

    If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

    ক)
    \(\frac{601}{55}\)
    খ)
    \(\frac{129}{25}\)
    গ)
    \(\frac{11}{120}\)
    ঘ)
    \(\frac{55}{601}\)

    Explanation

    Let the numbers be a and b. Then, a + b = 55 and ab = 5 x 120 = 600. The required sum = 1a+1b\frac1a+\frac1b = a+bab\frac{a+b}{ab} = 55600\frac{55}{600} = 11120\frac{11}{120}

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