Answer: The three given indicators can be used for testing whether the given solution is acidic, basic or neutral.
Phenolpthalein: It shows fuchsia color if the solution is basic in nature and remains colorless if the solution is acidic in nature.
Bromophenol blue : It shows yellow color in acidic solution and purple color in basic solution.
Methyl red: It is red in acidic solution and yellow in basic solution.
If the solution is neither acidic nor basic then definitely it is neutral.