According to a military code, the word SYSTEM is written as SYSMET and the word NEARER is written as AENRER. Using the same pattern, what will be the code for the word FRACTION?

Introduction / Context:
This question checks your ability to observe patterns in rearranging letters of a word to form a code. Instead of substituting letters with other symbols, here the transformation is done purely by reordering the letters in a systematic way. Recognising the pattern from the examples and then applying it correctly is the main skill being tested.

Given Data / Assumptions:
SYSTEM → SYSMET
NEARER → AENRER
We need to find the code for FRACTION using the same rule. We assume the coding rule does not depend on the meaning of the word, only on the positions of the letters.

Concept / Approach:
First, we look at the structure of the words. SYSTEM and NEARER both have six letters. A natural idea is to divide each word into two equal halves of three letters and then observe how each half changes in the code. Once that rule is discovered, we can generalise it to an eight letter word like FRACTION by splitting it into two equal halves of four letters each and applying the same half by half reversal idea.

Step-by-Step Solution:
Take SYSTEM and split it: SYS | TEM. In the code we have SYSMET which can be grouped as SYS | MET. The first half SYS stays the same, while TEM becomes MET, which is its reverse. Now take NEARER and split it: NEA | RER. The code is AENRER which can be grouped as AEN | RER. Here, NEA becomes AEN (reverse of the first half) while RER stays the same because reversing RER still gives RER. From these, we see the consistent idea: each half of the word is reversed, but in SYSTEM the first half is palindromic so its reverse looks unchanged, and in NEARER the second half is palindromic. For FRACTION (8 letters), split it into two halves of four letters each: FRAC | TION. Reverse each half: FRAC → CARF, and TION → NOIT. Joining these reversed halves gives CARFNOIT.

Verification / Alternative check:
Check whether any other option corresponds to a simple half by half reversal. Option CARFTION keeps the second half unchanged, which does not match the idea of reversing both halves. ARFCNOIT reverses letters but in an inconsistent internal order. CARFTINO and other options similarly disturb the structure. CARFNOIT is the only choice produced by cleanly reversing FRAC and TION.

Why Other Options Are Wrong:
Options CARFTINO, CARFTION and ARFCNOIT all either mix letters between halves or disturb the internal order of the reversed groups. None of these can be obtained by a simple split and reverse operation like we observed in SYSTEM and NEARER. Therefore, they do not follow the same coding rule.

Common Pitfalls:
Many learners attempt to treat each example separately and invent different rules instead of finding a single unified pattern. Another mistake is to miscount letters and split FRACTION incorrectly, which leads to an incorrect reversal. Always count letters carefully, split words exactly in half when the pattern suggests it, and then apply the same operation consistently.

Final Answer:
Thus, using the same coding pattern, FRACTION is written as CARFNOIT.