A) 5997
B) 5979
C) 5994
D) 2997
Correct Answer: A
Solution :
Expression . \[=999\frac{1}{7}+999\frac{2}{7}+...+999\frac{6}{7}\] \[=\left( 999+\frac{1}{7} \right)+\left( 999+\frac{2}{7} \right)+...+\left( 999+\frac{6}{7} \right)\]\[=(6\times 999)+\left( \frac{1}{7}+\frac{2}{7}+\frac{3}{7}+...+\frac{6}{7} \right)\] \[=5994+\left( \frac{1+2+3+4+5+6}{7} \right)\] \[=5994+\frac{21}{7}=5994+3\] \[=5997\]You need to login to perform this action.
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