In this letter analogy question, select the group of letters that completes the pattern: QSUW : TVXZ :: ACEG : ?

Introduction / Context:
This question involves a letter sequence analogy, where you need to detect how one group of letters is transformed into another. The pair QSUW and TVXZ is given, and the task is to apply the same transformation to ACEG in order to find the missing group. These questions test your understanding of alphabet positions and consistent shifts across several letters.

Given Data / Assumptions:
- QSUW and TVXZ are both four letter sequences.
- ACEG is another four letter sequence whose corresponding partner you must determine.
- The alphabet positions follow A=1, B=2, up to Z=26.
- The options provided are KMNP, EGMN, DFHJ, and FHIL.

Concept / Approach:
The natural method is to convert the letters in QSUW and TVXZ into numbers and then compare the differences. If the change is consistent, that shift can be used as a rule. After discovering the pattern, apply the same shift to each letter of ACEG. Finally, convert the resulting positions back to letters and match them with one of the options. Taking this numeric approach eliminates guesswork and ensures a clear logical solution.

Step-by-Step Solution:
Step 1: Write the positions for QSUW: Q=17, S=19, U=21, W=23.Step 2: Write the positions for TVXZ: T=20, V=22, X=24, Z=26.Step 3: Compare each pair: 17 to 20 is +3, 19 to 22 is +3, 21 to 24 is +3, and 23 to 26 is +3, so the rule is add 3 positions to each letter.Step 4: Now apply this +3 rule to ACEG. The positions are A=1, C=3, E=5, G=7.Step 5: Add 3 to each: 1 + 3 = 4 (D), 3 + 3 = 6 (F), 5 + 3 = 8 (H), and 7 + 3 = 10 (J).Step 6: The resulting group of letters is DFHJ, which matches option C exactly.Step 7: Therefore DFHJ is the correct completion of the analogy.

Verification / Alternative check:
You can quickly verify the solution by reversing the transformation. Subtract 3 from the letters in DFHJ: D (4) becomes A (1), F (6) becomes C (3), H (8) becomes E (5), and J (10) becomes G (7). This brings you back to ACEG, confirming that DFHJ is connected to ACEG by the same +3 shift that connects QSUW to TVXZ. No other option allows such a clean forward and backward mapping.

Why Other Options Are Wrong:
- KMNP: The letters are far from the positions you obtain by adding 3 to A, C, E, and G, so this sequence does not follow the observed rule.
- EGMN: Although it contains some middle letters, the positional differences are inconsistent with the constant +3 shift.
- FHIL: This group also fails to match the numerical transformation pattern and cannot be obtained by simply adding 3 to ACEG.

Common Pitfalls:
Some candidates try to guess by visual similarity or by noticing internal patterns within a single group, such as the constant gap of two letters in ACEG. However, the real test is how one group transforms into another group. Another common mistake is miscounting alphabet positions by one or forgetting to apply the shift to every letter. Always convert letters to numbers, perform the same operation consistently, and then convert back to letters to avoid errors.

Final Answer:
Since each letter in QSUW moves three positions forward to produce TVXZ, applying the same +3 shift to ACEG yields DFHJ. Therefore the correct answer is DFHJ.