In a certain code language, the word "MATERIAL" is written as "RIALMATE" by rearranging its letters in a fixed way. Using the same coding rule, how is the word "REMEMBER" written in that code language?

Introduction / Context:
This is a word coding question based on rearranging letters according to a fixed pattern. We are told that MATERIAL is written as RIALMATE in the code language. Our task is to discover the rearrangement rule and then apply the same rearrangement to the word REMEMBER. These questions test visual pattern recognition and consistent application of a transformation to a new word of the same length.

Given Data / Assumptions:

• Original word: MATERIAL.
• Coded form: RIALMATE.
• Target word: REMEMBER.
• The same rearrangement rule is applied to both words.
• All letters in each word are used exactly once; there is no substitution with new letters.

Concept / Approach:
To identify the pattern, we compare MATERIAL and RIALMATE position by position. MATERIAL has eight letters: M A T E R I A L. The coded word RIALMATE also has eight letters: R I A L M A T E. Observing this, we see that the coded word starts with the last four letters of the original (R I A L) followed by the first four letters (M A T E). So the rule is: take the last half of the word and write it first, then write the first half after it. We then apply this same last four then first four rule to REMEMBER.

Step-by-Step Solution:
Step 1: Write MATERIAL with positions: 1 M, 2 A, 3 T, 4 E, 5 R, 6 I, 7 A, 8 L. Step 2: Note that RIALMATE in the code is R I A L M A T E. Step 3: Recognise that R I A L correspond to positions 5, 6, 7 and 8 (R, I, A, L). Step 4: The remaining part M A T E corresponds to positions 1, 2, 3 and 4. Step 5: Conclude that the rule is: coded word = letters 5–8 followed by letters 1–4. Step 6: Now apply this rule to REMEMBER. Write REMEMBER with positions: 1 R, 2 E, 3 M, 4 E, 5 M, 6 B, 7 E, 8 R. Step 7: Select letters 5–8: M, B, E, R, which form "MBER". Step 8: Then append letters 1–4: R, E, M, E, which form "REME". Step 9: Combine them to get the coded form MBERREME.

Verification / Alternative check:
To verify, we can go back to MATERIAL and reapply the rule: letters 5–8 are R I A L, and letters 1–4 are M A T E. Combining them yields RIALMATE, exactly matching the example. Applying the same steps again to REMEMBER reproduces MBERREME, consistent with the rule. Checking the answer choices shows that only option C matches this pattern and uses all letters in their correct transformed positions.

Why Other Options Are Wrong:
Options A, B, D and E involve different orders of the letters. For example, REMEREBM moves letters in a different pattern and does not follow the strict last four then first four rule. Similarly, MBEREMER and MBERREEM alter the order of some letters in the second half. Because the coding is a specific rotation of halves, only the arrangement where letters 5–8 come first and letters 1–4 follow is valid, which is MBERREME.

Common Pitfalls:
A common mistake is to assume that letters are being reversed or alternately picked from the beginning and end, rather than splitting the word exactly in half. Another is to miscount positions when copying letters, especially for longer words. Carefully writing the original word with position numbers and then explicitly selecting the second half followed by the first half prevents such errors. Always check that the pattern used on one example works identically on the other words in the question.

Final Answer:
Using the same rearrangement that converts MATERIAL to RIALMATE, the word REMEMBER is written as MBERREME in the code language.