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Answer:

Akhil,Bigil and Chari complete 40% of work in =   18 days.

Therefore work done by all 3 combinedly in 1 day =  (40/100)*(1/18) = (1/45) .........A 

Work done by all three in 6 days =   6*(1/45)  =   (2/15)

Balance work completed by Bigil and Chari working for 52 days =   1- (2/15)  =  13/15

Therefore work done by Bigil and Chari combinedly in 1 day = (13/15)/(52)= (1/60)........B

 Therefore work done by Akhil alone in 1 day =   A- B = (1/45)- (1/60) =  (4 - 3)/180 = (1/180)

So Akhil working alone can complete the job in =   180 days

Answer: Option C

 

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