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    Subject

    Quantitative Aptitude

    Topic

    Simplification

    Find the value of:  99917+99927+99937+99947+99957+99967.999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + 999\frac{4}{7} + 999\frac{5}{7} + 999\frac{6}{7}.

    ক)
    5772
    খ)
    5997
    গ)
    4558
    ঘ)
    1344
    ঙ)
    None of these

    Explanation

    Given expression is 99917+99927+99937+99947+99957+99967.999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + 999\frac{4}{7} + 999\frac{5}{7} + 999\frac{6}{7}. Now, this expression can also be written as ⇒ 999 + 1/7 + 999 + 2/7 + 999 + 3/7 + 999 + 4/7 + 999 + 5/7 + 999 + 6/7 ⇒ (999 + 999 + 999 + 999 + 999 + 999) + (1/7 + 2/7 + 3/7 + 4/7 + 5/7 + 6/7) ⇒ 5994 + (21/7) ⇒ 5994 + 3 = 5997 Hence, the required answer is 5997,

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