$$999\,\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + $$ $$999\frac{4}{7} + $$ $$999\frac{5}{7} + $$ $$999\frac{6}{7}$$ is simplified to-
A. 5997
B. 5979
C. 5994
D. 2997
Answer: Option A
Solution(By Examveda Team)
$$999\,\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + $$ $$999\frac{4}{7} + $$ $$999\frac{5}{7} + $$ $$999\frac{6}{7}$$$$ \Rightarrow \left( {999 \times 6} \right) + $$ $$\left( {\frac{1}{7} + \frac{2}{7} + \frac{3}{7} + \frac{4}{7} + \frac{5}{7} + \frac{6}{7}} \right)$$
$$\eqalign{ & \Rightarrow 5994 + \left( {\frac{{21}}{7}} \right) \cr & \Rightarrow 5994 + 3 \cr & \Rightarrow 5997 \cr} $$
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
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