Which 0.1 M solution will turn phenolphthalein pink?
Different indicators change color at differing concentrations of hydrogen ions. Phenolphthalein turns pink in basic solutions that range from about 8.2 to 10 and colorless in acid solutions. Since the question wants it to turn pink, you are looking for a base.
Choice 4 is an alcohol: it is neutral in water. Group 1 elements of the Periodic Table (Li, Na and K) form strong bases when combined with hydroxide (OH)-. When dissolved in water, LiOH makes a strongly basic solution. It will turn phenolphthalein pink.