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$\text{A, B}$ and $\text{C}$ can do a piece of work in $36,54$ and $72$ days respectively. They started the work but $\text{A}$ left $8$ days before the completion of the work while $\text{B}$ left $12$ days before the completion. The number of days for which $\text{C}$ worked is :

  1. $4$
  2. $8$
  3. $12$
  4. $24$
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