The arithmetie 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 remaining $55 \%$ is

  • A

    $45$

  • B

    $50$

  • C

    $51.4$ approx

  • D

    $54.6$ approx

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