What should be the correct answer for the question below.Please help.
Nobody believed Galileo's theory initially but it -came out- to be right. (1)worked out (2)turned out (3)carried out (4)no improvment
As indicated by @FumbleFingers in his comment, turned out is appropriate, and came out is not in the example given.
There is a related meaning for come out that seems as if it might apply
to yield a satisfactory solution ⇒ these sums just won't come out
However, come out is usually used to describe the result of an active process, such as the calculation in the example, rather than a more theoretical analysis by Galileo. It is often used to describe recipes or manufacturing operations.
How did the pie come out?
In almost all cases, turn out can be used in place of come out, but the obverse is not true.