If 1³ + 2³ + 3³ + .... + 9³ = 2025, then the value of (0.11)³ + (0.22)³ + .... + (0.99)³ is close to :

Solution (By Examveda Team)

$$\eqalign{ & {\left( {0.11} \right)^3} + {\left( {0.22} \right)^3} + .... + {\left( {0.99} \right)^3} \cr & = {\left( {0.11} \right)^3}\left( {{1^3} + {2^3} + .... + {9^3}} \right) \cr & = 0.001331 \times 2025 \cr & = 2.695275 \approx 2.695 \cr} $$