The arithmetic mean of the scores of a group of students in a test was $52$. The brightest $20\%$ of them secured a mean score of $80$ and the dullest $25\%$ a mean score of $31$. The mean score of the remaining $55\%$ is

  • A
    $45$
  • B
    $50$
  • C
    $51.4$ approx
  • D
    $54.6$ approx

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