| \[999\frac{1}{7}+999\frac{2}{7}+999\frac{3}{7}+999\frac{4}{7}+999\frac{5}{7}+999\frac{6}{7}\]is simplified to |
A) 5997
B) 5979
C) 5994
D) 2997
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.
You will be redirected in
3 sec
