Question

If $1^3+2^3+\cdots \cdots +9^3=2025$ then $(0.11{)}^3+(0.22{)}^3+\cdots \cdots +(0.99{)}^3$ will be

• A. $0.2695$
• B. $2.695$
• C. $3.695$
• D. $0.3695$

Answer 1

Answer: (B)

$2.695$

$1^3+2^3+\cdots \cdots +9^3=2025$
$⟹(0.11{)}^3+(0.22{)}^3+\cdots \cdots +(0.99{)}^3$
$⟹(0.11{)}^3[1^3+2^3+\cdots \cdots +9^3]$
$⟹0.001331\times 2025=2.695275$