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If 13 + 23 + 33 + + 93 = 2025...

This question belongs to Arithmetic Ability Decimal Fraction
Decimal Fraction
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If 13 + 23 + 33 + .... + 93 = 2025, then the value of (0.11)3 + (0.22)3 + .... + (0.99)3 is close to :

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