Correct option is B
The correct option to fill in the blank is (b)
to cope with.
To cope with means to deal effectively with something difficult. (सामना करना, निपटना)
Example: It's hard to cope with stress under pressure.
Explain why other options are incorrect:
· (a) for manage with: incorrect structure; “for” is unnecessary.
· (c) to service for: ungrammatical; “service” is not a correct verb in this context.
· (d) to carry on: means to continue; not appropriate here contextually.
Grammatical rule used: The infinitive "to cope with" is used correctly to express purpose or difficulty in action.
Information Booster: The verb "cope" is always followed by "with" when referring to dealing with something.