ANS:C - centrifugal

For the separation of a sugar solution from settled out mud, the most suitable filter is a rotary drum vacuum filter. Here's an overview of why:

1. Sparkler Filter:
   • Used for polishing filtration and not typically suitable for handling large volumes of sludge or mud.
2. Plate and Frame Filter:
   • Effective for batch processing of slurries but may not be as efficient for continuous large-scale operations like sugar solution separation.
3. Centrifugal Filter:
   • While centrifuges are effective for separating liquids from solids, they are not referred to as filters. They may be used in sugar processing but not as the primary filtration method for this specific task.
4. Rotary Drum Vacuum Filter:
   • Well-suited for continuous separation of liquids from solids, especially in large-scale operations like sugar solution separation. The rotary drum vacuum filter allows for continuous processing and is efficient in separating the sugar solution from the settled mud.