The sum of all those terms which are rational numbers in the expansion of $\left(2^{1 / 3}+3^{1 / 4}\right)^{12}$ is:

  • [JEE MAIN 2021]
  • A

    $27$

  • B

    $89$

  • C

    $35$

  • D

    $43$

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If $n$ is even positive integer, then the condition that the greatest term in the expansion of ${(1 + x)^n}$ may have the greatest coefficient also, is