In the analogy “RARE : ERAR :: ROCKET : ____”, which option shows the same letter rearrangement pattern applied to the word ROCKET?

Introduction / Context:
This analogy question focuses on letter rearrangement patterns. The pair “RARE : ERAR” shows that the word RARE has been transformed in a specific way to obtain ERAR. To solve the analogy, you need to discover the exact transformation used on RARE and then apply the same operation to the word ROCKET. The option that matches this transformed form is the correct answer.

Given Data / Assumptions:

• First pair: RARE becomes ERAR.
• Second word: ROCKET must be transformed in the same way.
• Options: TKEROC, TEKRCO, TEKROC, TEKCOR, TREKOC.
• We assume no letters are added or removed, only rearranged.

Concept / Approach:
First, we examine how RARE turns into ERAR. Writing RARE in order: R A R E. Writing ERAR: E R A R. This is exactly the reverse of the original word. If we reverse R A R E, we read from last letter to first: E R A R, which matches the given transformation. So the rule is “reverse the order of letters.” Now we must reverse ROCKET. ROCKET letters in order are R O C K E T. Reversing them from last to first gives T E K C O R. We then match this arrangement to the closest option, which is TEKCOR.

Step-by-Step Solution:

Step 1: Write RARE in forward order: R A R E. Step 2: Write ERAR in forward order and compare: E R A R. Step 3: Notice that ERAR is RARE written backwards: last letter E comes first, followed by R, then A, then R. Step 4: Apply the same reversal rule to ROCKET: write it as R O C K E T and then reverse it. Step 5: Reversing gives T E K C O R. Step 6: Compare this to the options and identify TEKCOR as the exact match.

Verification / Alternative check:
Check each option carefully. TKEROC rearranges letters as T K E R O C, which does not match the reversed order. TEKRCO is T E K R C O, again incorrect. TEKROC is T E K R O C, with R and C swapped compared to the correct pattern. TREKOC is T R E K O C, which rearranges letters in a different way. Only TEKCOR uses the letters of ROCKET in the exact reverse sequence T E K C O R, proving that option D is right.

Why Other Options Are Wrong:
All the other options show some permutation of ROCKET but not the precise reverse. The analogy depends strictly on applying the identical transformation, not on any random rearrangement. Since RARE is fully reversed to become ERAR, ROCKET must be fully reversed as well. Any permutation that does not match this exact operation breaks the analogy.

Common Pitfalls:
One frequent mistake is to choose an option that only partially resembles a reversed form or that keeps the first and last letters and jumbles the middle. Another is to overcomplicate the pattern by looking for hidden codes when a simple reversal pattern is present. When you see a word and its exact reverse in an analogy, always test reversal on the second word before trying more complex rules.

Final Answer:
Reversing ROCKET gives T E K C O R, so the correct transformed form is TEKCOR, and the analogy becomes “RARE : ERAR :: ROCKET : TEKCOR”.