Step 1: Understanding the Question:
This question belongs to the parajumbles or sentence rearrangement category.
We must arrange the four fragments (P, Q, R, and S) in a sequence that forms a grammatically correct and logical sentence.
Step 2: Key Formulas and approach:
To rearrange parts of a sentence:
1. Identify the subject/opening clause of the sentence.
2. Look for mandatory grammatical pairs (e.g., verbs following their nouns, prepositions linking clauses).
3. Find the main verb and its direct object.
Step 3: Detailed Explanation:
$\bullet$ Segment R: "each of the candidates who appeared" acts as the natural subject.
$\bullet$ The verb "appeared" typically takes a prepositional phrase specifying where or what they appeared for. This connects naturally to Segment Q: "for the entrance examination". Thus, we have the sequence R $\rightarrow$ Q.
$\bullet$ After the complete subject clause ("each of the candidates who appeared for the entrance examination"), we need the predicate. Segment S: "was instructed to submit" contains the singular verb "was" which perfectly agrees with the singular subject "each".
$\bullet$ The infinitive verb "to submit" must be followed by its direct object. Segment P: "their original certificates" is the ideal direct object. Thus, we have S $\rightarrow$ P.
$\bullet$ Combining these parts in sequence gives: "each of the candidates who appeared (R) for the entrance examination (Q) was instructed to submit (S) their original certificates (P)." This is the sequence RQSP.
Step 4: Final Answer:
The logical and grammatically correct sequence is RQSP, which is Option (B).