The value of the greatest positive integer k, such that $49^{\mathrm{k}}+1$ is a factor of $48\left(49^{125}+49^{124}+\ldots+49^2+49+1\right)$ is

• A

  $32$
• Correct answer
  B

  $63$
• C

  $65$
• D

  $60$

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