a can do 1/4 of a work in 2 days - Interview Questions

a can do 1/4 of a work in 2 days

A alone can do 1/4th of the work in 2 days. B alone can do 2/3rd of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days ?

Answer : A. 1/12