In the following question, the sentence is given with a blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option: Raman has come up ______ a problem that he wants to discuss.

Introduction / Context:
This question tests your understanding of common phrasal verbs in English, specifically “come up with”. Phrasal verbs are combinations of verbs and prepositions or adverbs that carry specific meanings. Examinations often test whether you can choose the correct preposition to form a natural, idiomatic expression.

Given Data / Assumptions:

• The sentence is: “Raman has come up ______ a problem that he wants to discuss.”
• We must fill the blank with the correct preposition.
• The intended meaning (after minimal repair) is that Raman has brought up or proposed a problem.
• Options: for, with, of, into.

Concept / Approach:
There are two relevant patterns: “come up against a problem” (to face a problem) and “come up with an idea/problem” (to think of, mention, or propose something). In this sentence, the most natural and exam-friendly reading is “come up with a problem” meaning he has brought a particular problem to notice or thought of a problem to work on. The verb-preposition combination “come up with” is a well-established phrasal verb in English.

Step-by-Step Solution:
Identify the intended meaning: Raman has produced or mentioned a problem, possibly for discussion or solution.Recall the phrasal verb: “come up with something” = to think of or produce an idea, plan, excuse, problem etc.Check “come up for a problem”: incorrect; “come up for” is used in phrases like “come up for review”.Check “come up of a problem”: ungrammatical; “of” does not form a phrasal verb here.Check “come up into a problem”: also incorrect; “into” is not used in this pattern.Check “come up with a problem”: correct and idiomatic if we mean he has brought forward a problem.

Verification / Alternative check:
Insert the chosen option: “Raman has come up with a problem that he wants to discuss.” This sounds natural and clearly means Raman has thought of or presented a problem for discussion, which is appropriate in a classroom, office, or technical setting. None of the other prepositions produce a standard English expression.

Why Other Options Are Wrong:
“For” typically links purpose, as in “come up for renewal”, but “come up for a problem” has no accepted meaning. “Of” and “into” do not form phrasal verbs with “come up” in this sense, and “come up of a problem” or “come up into a problem” are grammatically wrong. Only “with” completes the recognized phrasal verb “come up with”.

Common Pitfalls:
Learners often remember that “come up” is used with different prepositions (come up against, come up with, come up for), and they mix them up. To avoid confusion, link each pattern to a clear meaning: “come up with” = produce or suggest; “come up against” = face or encounter a difficulty; “come up for” = be scheduled for discussion or renewal.

Final Answer:
The correct preposition is with, forming the phrasal verb “come up with a problem”.