A) \[\frac{5}{3000}\]
B) \[\frac{6}{1000}\]
C) \[\frac{7}{200}\]
D) \[\frac{7}{4000}\]
Correct Answer: A
Solution :
\[\left( \frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}......+\frac{1}{11}-\frac{1}{12} \right)\times \frac{2}{10}+\frac{5}{10}\times \frac{1}{10}\]\[=\left( \frac{1}{4}-\frac{1}{12} \right)\times \frac{2}{10}\times \frac{5}{10}\times \frac{1}{10}\] \[=\frac{2}{12}\times \frac{1}{100}=\frac{1}{600}\times \frac{5}{5}=\frac{5}{3000}\]
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