A) 0.2695
B) 2.695
C) 3.695
D) 0.3695
Correct Answer: B
Solution :
\[{{(0.11)}^{3}}+{{(0.22)}^{3}}+.....+{{(0.99)}^{3}}\] \[={{\left( \frac{11\times 1}{100} \right)}^{3}}+{{\left( \frac{11\times 2}{100} \right)}^{3}}+....+{{\left( \frac{11\times 9}{100} \right)}^{3}}\] \[={{\left( \frac{11}{100} \right)}^{3}}+[{{1}^{3}}+{{2}^{3}}+....+{{9}^{3}}]\] \[=\frac{1331\times 2025}{100\times 100\times 100}=1.331\times 2.025=2.695\]
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