A) 2295
B) 2425
C) 2495
D) 2925
Correct Answer: D
Solution :
\[{{5}^{3}}\,+{{6}^{3}}\,+...+{{10}^{3}}\] \[={{1}^{3}}\,+\,{{2}^{3}}\,+...+{{10}^{3}}\,-\left( {{1}^{3}}+{{2}^{3}}+{{3}^{3}}+{{4}^{3}} \right)\] \[={{\left\{ \frac{10\left( 10+1 \right)}{2} \right\}}^{2}}\,-\,{{\left\{ \frac{4\left( 4+1 \right)}{2} \right\}}^{2}}\] \[=\,3025-100=2925\]You need to login to perform this action.
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