(999 1/7+999 2/7+999 3/7+999 4/7+999 5/7+999 6/7) is simplified to · ABC26GN1079
Subject: General Aptitude · Chapter: Simplification
$\left(999 \frac{1}{7}+999 \frac{2}{7}+999 \frac{3}{7}+999 \frac{4}{7}+999 \frac{5}{7}+999 \frac{6}{7}\right)$ is simplified to
(a)2997
(b)5979
(c)5994
(d)5997
Answer
Explanation
Given exp. $=\left(1000-\frac{6}{7}\right)+\left(1000-\frac{5}{7}\right)+\left(1000-\frac{4}{7}\right)$ $$+\left(1000-\frac{3}{7}\right)+\left(1000-\frac{2}{7}\right)+\left(1000-\frac{1}{7}\right) \begin{aligned} & =6000-\left(\frac{6}{7}+\frac{5}{7}+\frac{4}{7}+\frac{3}{7}+\frac{2}{7}+\frac{1}{7}\right) \\ & =6000-\frac{21}{7}=6000-3=5997 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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