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In the analogy FOM is related to CLJ by a particular alphabetical rule. Which of the following letter pairs shows the same relationship between its first and second term?

Difficulty: Medium

Correct Answer: RAX : OXU

Explanation:


Introduction / Context:
This question asks you to find another pair of letter groups that follows the same coding rule as the given pair FOM : CLJ. Instead of decoding and re coding a new word, you need to compare whole pairs and see which option uses the same position shift between its first and second elements.


Given Data / Assumptions:

  • Reference pair: FOM : CLJ
  • Candidate pairs: RQS : POQ, RAX : OXU, JKN : MNQ, ACD : CEF, QRS : TUV
  • All letters are from the English alphabet, and the rule is likely based on constant shifts.


Concept / Approach:
We must first determine how each letter of FOM converts to CLJ. If that transformation is a constant shift by the same number of positions for all three letters, we then look for a candidate pair where the same constant shift is applied from its first group to its second group.


Step-by-Step Solution:

Step 1: Find positions of F, O, M. They are 6, 15, and 13 respectively. Step 2: Find positions of C, L, J. They are 3, 12, and 10 respectively. Step 3: Compute shifts. F (6) to C (3) is −3, O (15) to L (12) is −3, and M (13) to J (10) is also −3. So the rule is subtract 3 from each letter. Step 4: Test each option. For RAX : OXU, positions are R = 18, A = 1, X = 24 and O = 15, X = 24, U = 21. Step 5: From R to O is 18 to 15 which is −3, from A to X involves wrapping backward three steps (1 to 24) which is equivalent to minus three, and from X to U is 24 to 21, again minus three. So this pair follows the same rule.


Verification / Alternative check:
Check other pairs briefly. For RQS : POQ the shifts are not consistently minus three for all letters. JKN : MNQ moves forward, not backward. ACD : CEF moves forward by varying amounts. QRS : TUV shows a forward shift of plus two or plus three. Only RAX : OXU shows a uniform shift of minus three for every position, matching FOM : CLJ.


Why Other Options Are Wrong:

  • RQS : POQ uses mixed shifts and does not reflect a constant difference of minus three.
  • JKN : MNQ actually moves letters forward and so is the opposite direction of the reference pair.
  • ACD : CEF also uses forward shifts with different magnitudes, breaking the uniform minus three pattern.
  • QRS : TUV involves forward shifts and cannot be aligned with the backward movement seen in FOM : CLJ.


Common Pitfalls:
Some candidates may only check the first letter or become distracted by visual similarity between letter groups. It is important to compute numeric positions for every letter in at least the strongest candidate pair and confirm that the same constant shift works across all letters before deciding.


Final Answer:
The pair RAX : OXU follows the same minus three pattern as FOM : CLJ.

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