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    Subject

    Quantitative Aptitude

    Topic

    Average

    If the arithmetic mean of seventy-five numbers is calculated, it is 35. if each number is increased by 5, then mean of new numbers is :

    ক)
    30
    খ)
    10
    গ)
    40
    ঘ)
    70

    Explanation

    Let the numbers are x1,x2,.......x75x_{1,}x_{2,}.......x_{75} By Hypothesis  x1+x2+....x7575=35\frac{x_1+x_2+....x_{75}}{75}=35  ....(i) Mean of new numbers = (x1+5)+(x2+5)+.......(x75+5)75\frac{\left(x_1+5\right)+\left(x_2+5\right)+.......\left(x_{75}+5\right)}{75} = x1+x2+......x75+5∗7575\frac{x_1+x_2+......x_{75}+5\ast75}{75} =x1+x2+......x7575+37575=35+5=40\frac{x_1+x_2+......x_{75}}{75}+\frac{375}{75}=35+5=40 By (i)

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