The coding pattern observed is that the last two letters of the word are swapped and appended to the end, while the rest of the word remains in its original order. For 'SYSTEM', 'SYST' + 'EM' becomes 'SYST' + 'ME'. However, the example shows 'SYSMET', indicating a different pattern. Let's re-examine. In 'SYSTEM' -> 'SYSMET', the 'EM' is reversed to 'ME' and placed at the end. In 'NEARER' -> 'AENRER', the 'ER' at the end is reversed to 'RE' and placed at the end, but the letters before it are rearranged significantly, which contradicts the first example. Let's re-evaluate the primary example: SYSTEM -> SYSMET. This appears to swap the last two letters: SYST + EM -> SYST + ME = SYSMET. For NEARER -> AENRER, this doesn't fit. There might be a misunderstanding of the provided examples or a more complex pattern. Let's assume the simpler pattern from SYSTEM->SYSMET is intended for FRACTION. FRACTION -> FRAC + TION. If we swap the last two letters 'ON', it becomes FRAC + NO. This doesn't match any option. Let's reconsider the transformation for SYSTEM -> SYSMET. It looks like the last two letters 'EM' are reversed to 'ME' and appended. So, SYST + ME. For NEARER -> AENRER, the last two letters 'ER' are reversed to 'RE' and appended: NEAR + RE = NEARRER. This is also not matching. Let's look at FRACTION. The options suggest rearrangement. Option D 'CARFNOIT' has the letters of FRACTION. 'FRACTION' has 8 letters. Let's look at the first example again: SYSTEM (6 letters) -> SYSMET (6 letters). The last two letters 'EM' are swapped and form 'ME'. So, SYST + ME. Now for NEARER (6 letters) -> AENRER (6 letters). This is problematic. Let's assume the pattern for FRACTION is derived from the options. If FRACTION is coded to CARFNOIT, it implies a significant rearrangement. Let's try to find a consistent pattern that fits both SYSTEM->SYSMET and FRACTION->CARFNOIT. In SYSTEM->SYSMET, the last two letters EM are reversed ME. SYST + ME. In FRACTION, let's try to apply a similar logic. Maybe the first half and second half are manipulated. FRACTION is 8 letters. FRAC TION. Option D CARFNOIT. If we split FRACTION into FRAC and TION. The answer has CARF and NOIT. NOIT is TION reversed. CARF seems related to FRAC. Perhaps the first 4 letters are rearranged, and the last 4 letters are reversed? Let's check SYSTEM. SYST EM. Last 4 reversed -> TSYS. Last 2 reversed -> ME. SYSMET. This does not fit. Let's assume the intended pattern is to reverse the last two letters and append them. SYSTEM -> SYST + ME = SYSMET. FRACTION -> FRAC TION. Reversing last two 'ON' gives 'NO'. FRAC TION -> FRAC + NO. This is not an option. Let's consider another pattern for SYSTEM->SYSMET. It seems like the last 3 letters MET are moved to the end from a different position. SY S TEM -> SY S MET. No. Let's focus on the provided correct answer D, CARFNOIT. FRACTION -> CARFNOIT. The letters are the same. The second half 'TION' is reversed to 'NOIT'. So, FRACTION -> FRAC + TION becomes FRAC + NOIT. Now, how does FRAC become CARF? There is no obvious direct relationship. Let's reconsider the first example: SYSTEM -> SYSMET. The last two letters EM become ME. So SYST + ME. The word is split into SYST and EM. The second part is reversed and appended. Applying this to FRACTION: FRAC TION. Split into FRAC and TION. Reverse TION -> NOIT. So FRAC + NOIT. This gives FRACNOIT, which is option B. But the correct answer is D. This suggests the pattern is different. Let's look at the transformation again: SYSTEM (SY S TEM) -> SYSMET (SY S MET). The last three letters TEM are rearranged to MET. This isn't simple reversal. Let's look at the letters in order: S Y S T E M. S Y S M E T. The 5th and 6th letters (E, M) are swapped. Let's apply this to NEARER: N E A R E R. The 5th and 6th letters (E, R) are swapped -> N E A R R E. This does not match AENRER. There is a clear discrepancy in the examples or a complex rule. Given FRACTION -> CARFNOIT. The last 4 letters TION are reversed to NOIT. This implies the split is after the 4th letter. So, FRAC | TION becomes FRAC | NOIT. Now, FRAC must become CARF. This is a cyclic shift or rearrangement. If we treat FRAC as a block and TION as a block, and reverse the second block, we get FRACNOIT. If the correct answer is CARFNOIT, then FRAC must transform to CARF. This looks like the first letter F moves to the end of the first block: F RAC -> RAC F. No, it's CARF. It looks like the letters are rearranged within the first block. Let's assume the pattern is: split the word into two halves. Reverse the second half. Rearrange the first half in a specific way. For FRACTION (8 letters), halves are FRAC (4 letters) and TION (4 letters). Reversing TION gives NOIT. So we have FRAC and NOIT. The answer is CARFNOIT, meaning FRAC becomes CARF. The letters F, R, A, C are rearranged to C, A, R, F. This is a cyclic shift to the right: C is 1st, A is 2nd, R is 3rd, F is 4th. If we consider FRAC, then F goes to the end, R is first, A is second, C is third: R A C F. This is not CARF. Let's assume the rearrangement of FRAC to CARF is a specific rule. The question is from CSAT, which often involves logical pattern recognition. The most prominent transformation in FRACTION -> CARFNOIT is the reversal of the latter half TION -> NOIT. If we assume the word is split into two equal halves (which it is, 8 letters), and the second half is reversed, we get FRACNOIT (Option B). Since D is the correct answer, there must be an additional step applied to the first half. FRAC -> CARF. The letters F, R, A, C are rearranged. Let's assume the pattern for SYSTEM (6 letters) -> SYSMET (6 letters) applies differently because of even/odd length. SYSTEM = SYS | TEM. Reverse TEM -> MET. SYSMET. This fits! Now apply to NEARER (6 letters) = NEA | RER. Reverse RER -> RER. NEARRER. This does not fit AENRER. The examples are inconsistent. Let's stick to the pattern that fits FRACTION -> CARFNOIT. TION -> NOIT (reversal of last 4). FRAC -> CARF (rearrangement). The most plausible rearrangement for FRAC->CARF to get CARFNOIT as the answer is that the first four letters are cyclically shifted such that the last letter of the first block becomes the first letter of the rearranged block. So, FRAC -> C + RAF. No. Let's consider cyclic shift of the whole word. No. The pattern from SYSTEM -> SYSMET is likely the intended one: split into two halves, reverse the second half. SYSTEM -> SYS | TEM -> SYS | MET = SYSMET. This fits. Apply to FRACTION -> FRAC | TION -> FRAC | NOIT = FRACNOIT. This is option B. If D is correct, the first half FRAC must be transformed into CARF. Let's assume the question implies a pattern where the letters of the first half are rearranged and the second half is reversed. For FRACTION -> CARFNOIT. TION reversed is NOIT. FRAC rearranged is CARF. The rearrangement of FRAC to CARF means the letters F R A C become C A R F. This is not a simple cyclic shift. However, if we consider the possibility that the question implies a specific rearrangement rule that is not immediately obvious or consistently applied across examples. Let's re-examine the SYSTEM example. SYST EM -> SYSMET. This could mean SYST is kept, EM is reversed and appended. So SYST + ME. Now FRACTION. FRAC TION. Keep FRAC, reverse TION to NOIT. FRACNOIT (Option B). This is the most consistent pattern. Given that D is the answer, there must be an error in my deduction or the question/examples are flawed. Let's assume the pattern for FRACTION -> CARFNOIT involves reversing the last part and rearranging the first part. TION -> NOIT (reversed). FRAC -> CARF (rearranged). The rearrangement of FRAC to CARF is peculiar. However, if we look at the letters {F, R, A, C} and {C, A, R, F}, the order is different. If the first block undergoes a specific substitution or rearrangement. Given the context of coding/decoding, a common technique is to split and reverse or permute blocks. The reversal of TION to NOIT is clear. The transformation of FRAC to CARF is the puzzle. Let's assume the logic is: split into two halves, reverse the second half, and cyclically shift the first half such that the last letter of the first half moves to the beginning. FRAC. Last letter is C. Move it to the front: C F R A. Not CARF. Let's assume the pattern is simply: reverse the last half of the word. FRACTION -> FRAC | TION. Reverse TION -> NOIT. Combine: FRACNOIT. This is option B. Since D is correct, the initial part FRAC must be changed to CARF. A possible pattern could be: reverse the entire word and then swap blocks or reverse segments again. FRACTION reversed is NOITCARF. This is option C. So reversal is not the only operation. Let's return to the SYSTEM example. SYSTEM -> SYSMET. The last two letters EM are reversed to ME and appended. SYST + ME. Let's assume this simple rule: reverse the last two letters and append them. FRACTION. Last two letters ON reverse to NO. FRAC TION -> FRAC + NO. This is not an option. The pattern that fits FRACTION -> CARFNOIT is that TION becomes NOIT (reversed) and FRAC becomes CARF (rearranged). The rearrangement of FRAC to CARF means the original letters are F, R, A, C. The new letters are C, A, R, F. This is a specific permutation. The most consistent pattern observed is the reversal of the second half of the word. TION -> NOIT. If we apply this to FRACTION, we get FRACNOIT (Option B). However, since the correct answer is D (CARFNOIT), the first part FRAC must be transformed into CARF. This specific rearrangement (FRAC -> CARF) needs to be understood. If we consider the possibility of letter shifting within the first half, e.g., F -> C, R -> A, A -> R, C -> F. This doesn't reveal a simple pattern. However, the reversal of TION to NOIT is a strong clue. Given the answer CARFNOIT, the first four letters FRAC must have been transformed to CARF. A possible interpretation is that the first block of letters is also rearranged. Without a clearer, consistently applicable rule from the examples, identifying the exact transformation of FRAC to CARF is difficult. However, if we assume the general structure is Block1 + Reversed_Block2, then for FRACTION, Block2 = TION, Reversed_Block2 = NOIT. The final answer CARFNOIT implies Block1 becomes CARF. This specific transformation of FRAC to CARF is the key. A possible reasoning for CARF from FRAC is a specific permutation. The letters are reordered as C, A, R, F. If we consider the original order F, R, A, C, the letters are placed in positions 3, 4, 2, 1 of the rearranged block. Position 1 letter (F) goes to position 4. Position 2 letter (R) goes to position 3. Position 3 letter (A) goes to position 2. Position 4 letter (C) goes to position 1. So, C A R F. This is indeed the rearrangement. So the pattern is: split into two halves, rearrange the first half according to the rule (last letter of block becomes first, second to last becomes second, etc. - reverse the first half too?), and reverse the second half. Let's check SYSTEM: SYS | TEM. Rearrange SYS -> SYS (no change). Reverse TEM -> MET. SYSMET. This fits! Let's check NEARER: NEA | RER. Rearrange NEA -> AEN? Reverse RER -> RER. AENRER. This fits! So the pattern is: Split into two equal halves. Reverse the first half. Reverse the second half. Apply this to FRACTION: FRAC | TION. Reverse FRAC -> CARF. Reverse TION -> NOIT. Combine: CARFNOIT. This is option D and fits all examples.