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Answer with Explanation:

(A + B + C)'s 1 day's work = 1/4,

A's 1 day's work = 1/16,

B's 1 day's work = 1/12.

Therefore C's 1 day's work = 1/4 - ( 1/16 + 1/12 ) = ( 1/4 - 7/48 ) 

= 5/48 .

So, C alone can do the work in 48/5 = 9 3/5 Days.
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