Final answer:
Option (C), The word 'cajole' is a synonym for 'wheedle,' which means to persuade through coaxing or flattery.
Step-by-step explanation:
The word cajole most nearly means to wheedle, which is to persuade someone to do something through sustained coaxing or flattery. It does not mean to acquire, which implies obtaining something, nor to harmonize, which is to bring things into a pleasing combination.
It also is the opposite of discourage, which is to make someone less willing to do something, Therefore, the correct answer is C. wheedle.