A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A do it in 8 days. A, B and C together can complete it in :

[A]4 days

[B]5 days

[C]6 days

[D]7 days

**6 days**

(A + B)’s 1 day’s work

(B + C)’s 1 day’s work

(C + A)’s 1 day’s work

On adding,

2(A + B + C)’s 1 day’s work

∴ (A + B + C)’s 1 day’s work

So the work will be completed in 6 days.

Hence option [C] is correct answer.