Select the related group of letters from the given alternatives: AEIM is to BFJN as CGKO is to which of the following?

Difficulty: Medium

Correct Answer: DHLP

Explanation:


Introduction / Context:
This question is based on alphabetic patterns and letter sequences. The pair AEIM : BFJN is given, and you must determine which option completes the pattern CGKO : ?. These analogies often use fixed jumps in the alphabet and help test your ability to notice regular spacing between letters, which is a common feature of reasoning questions in competitive exams.


Given Data / Assumptions:
1) AEIM is the first letter group and BFJN is the second letter group in the model pair.
2) CGKO is the first letter group in the second pair, and we must find its partner group.
3) Alphabet positions are taken as A=1, B=2, and so on up to Z=26.
4) We assume that the transformation from AEIM to BFJN is applied letter by letter in the same way from CGKO to the answer.
5) The options are DHLP, ZVRP, BCDK, and MPQR.


Concept / Approach:
First, we look at the structure of the sequences themselves. AEIM consists of letters with positions 1, 5, 9, and 13, which are spaced by four positions in the alphabet. BFJN consists of letters 2, 6, 10, and 14, which are also spaced by four positions. That means each letter in BFJN is exactly one step ahead of the corresponding letter in AEIM. We use this plus one rule to transform CGKO into its matching group.


Step-by-Step Solution:
Step 1: Write the positions of AEIM. A is 1, E is 5, I is 9, and M is 13. Step 2: Write the positions of BFJN. B is 2, F is 6, J is 10, and N is 14. Step 3: Compare positions letter by letter. From A to B is plus 1, from E to F is plus 1, from I to J is plus 1, and from M to N is plus 1. So the rule is add one to each letter. Step 4: Now apply the same rule to CGKO. Write positions: C is 3, G is 7, K is 11, and O is 15. Step 5: Add one to each position. 3 plus 1 equals 4, 7 plus 1 equals 8, 11 plus 1 equals 12, and 15 plus 1 equals 16. Step 6: Convert these positions back to letters. 4 is D, 8 is H, 12 is L, and 16 is P. Thus, CGKO maps to DHLP. Step 7: Compare DHLP with the answer options and select it as the correct one.


Verification / Alternative check:
Check whether any other option could be produced by a simple consistent rule that also explains the relation between AEIM and BFJN. ZVRP, BCDK, and MPQR all have different letter positions and do not match the plus one shift from CGKO. None of them represent the result of adding one to C, G, K, and O. Therefore, the only valid partner group is DHLP.


Why Other Options Are Wrong:
ZVRP uses letters that do not follow the plus one pattern from CGKO. BCDK contains letters that are not evenly spaced relative to C, G, K, and O. MPQR does not line up with the fixed increments and would require different shifts for different letters. Because the analogy requires the same simple transformation as in AEIM : BFJN, any group that breaks this pattern must be rejected.


Common Pitfalls:
A common error is to focus only on the spacing inside each group and ignore the letter by letter mapping between the two groups. Another mistake is to choose an option that looks visually similar without checking alphabet positions carefully. To avoid these mistakes, always convert letters to numbers, apply the transformation, and then convert back to letters systematically.


Final Answer:
Using the same plus one alphabet shift that sends AEIM to BFJN, the group CGKO maps to DHLP.

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