Q43 / 160 · AP EAMCET 2025 (21 MAY SHIFT 1) · Mathematics

For all $\mathrm{n} \in \mathrm{N}$, if $1^3+2^3+3^3+\ldots. .+\mathrm{n}^3>\mathrm{x}$, then a value of x among the following is

  • Correct answer
    A
    $\frac{n^2}{4}$
  • B
    $\mathrm{n}^2$
  • C
    $\mathrm{n}^4$
  • D
    $\frac{\mathrm{n}^2(\mathrm{n}+1)^2}{4}$

Hence, the correct answer is option: 'A'.

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