In this sentence arrangement question, the first segment is fixed as "The federation was keen on maintaining an". The remaining segments are: (P) exclusive membership profile and thus introduced, (Q) segregational policies adopted by premier organizations, (R) an invite only policy for the new entrants, and (S) causing a sudden outcry against the. Rearrange P, Q, R, and S to form a single coherent and grammatically correct sentence.

Introduction / Context:
This sentence rearrangement problem deals with a federation that wants to maintain an exclusive profile and creates a controversial membership policy. You must arrange four segments so that they follow the fixed opening in a logical and grammatically correct way. A good arrangement should show what the federation wanted, what it introduced, and how the public reacted to those actions.

Given Data / Assumptions:

• Fixed beginning: "The federation was keen on maintaining an".
• P: "exclusive membership profile and thus introduced".
• Q: "segregational policies adopted by premier organizations".
• R: "an invite only policy for the new entrants".
• S: "causing a sudden outcry against the".
• We must create a sentence that explains both the restrictive policy and the outcry against segregation.

Concept / Approach:
The logical structure should be: intention of the federation, the concrete action it took, the consequence of that action, and finally what that consequence was directed against. Grammatically, we begin with "an exclusive membership profile" to complete the article "an". We then expect a conjunction or continuation such as "and thus introduced", followed by the actual policy. The phrase "causing a sudden outcry against the" clearly needs an object, which is supplied by "segregational policies adopted by premier organizations".

Step-by-Step Solution:
Step 1: The article "an" in the fixed part must be followed by a noun phrase. Segment P starts with "exclusive membership profile" and fits perfectly after "an". Step 2: P also contains "and thus introduced", which naturally leads to a description of what was introduced. That is given in R: "an invite only policy for the new entrants". Step 3: This new policy created a reaction. Segment S "causing a sudden outcry against the" introduces that reaction and clearly requires an object of the preposition "against". Step 4: The missing object is in Q, "segregational policies adopted by premier organizations", which completes the thought. Step 5: Putting it all together, we get: "The federation was keen on maintaining an exclusive membership profile and thus introduced an invite only policy for the new entrants, causing a sudden outcry against the segregational policies adopted by premier organizations." The sequence is PRSQ.

Verification / Alternative check:
Check other sequences quickly. Starting with Q or R immediately after the article "an" will not work because "an segregational" is incorrect and "an an invite" is also wrong. Starting with S makes no sense after "an". Only P can follow the article "an" correctly. Once P is placed, R must follow because of the phrase "and thus introduced", which demands the object "an invite only policy". Finally, S must precede Q so that "against the" has a noun phrase to complete it. This confirms PRSQ as the only viable order.

Why Other Options Are Wrong:
SRPQ begins with "causing a sudden outcry" directly after the article, which is ungrammatical and does not complete "an".

PQRS places Q immediately after P, but then S appears after R, leaving "against the" awkwardly attached to the wrong phrase.

QSRP cannot start a noun phrase after "an" and produces a very clumsy and incorrect sentence.

Common Pitfalls:
A common error in such questions is ignoring articles and how they limit what can follow. When you see "an" or "a" at the end of the fixed part, always ensure that the next segment begins with a suitable noun phrase. Another trap is not noticing that words like "the" or "against the" require a following object, which must be part of another segment. Watching these small connectors usually points you toward the correct order rapidly.

Final Answer:
The correct sequence is PRSQ, therefore option A is correct.