Select the related group of letters from the given alternatives: BECD : GJHI :: LOMN : ?

Difficulty: Medium

Correct Answer: QTRS

Explanation:


Introduction / Context:
This question involves a letter series analogy where each letter in the first group is transformed into a new letter in the second group using a fixed shift. The pair BECD : GJHI demonstrates this pattern, and you have to apply the same rule to LOMN to find the corresponding group. Mastering this type of question requires awareness of alphabet positions and consistent letter wise operations.


Given Data / Assumptions:
- Alphabet positions are A = 1 through Z = 26.
- BECD and GJHI each contain four letters and are related by a uniform transformation.
- LOMN is another four letter group that must be transformed by the same rule.
- One of the options PSRQ, PQRS, QTSR, or QTRS will exactly match the resulting group.


Concept / Approach:
The strategy is to convert each letter of BECD and GJHI to its numerical position, compare corresponding letters, and see if there is a constant difference such as +5 or -3. If the same numeric shift applies to all positions, we have the coding rule. We then apply this rule to LOMN, obtain the resulting letters, and look for a matching option.


Step-by-Step Solution:
Step 1: Convert BECD to numbers. B = 2, E = 5, C = 3, D = 4. Step 2: Convert GJHI to numbers. G = 7, J = 10, H = 8, I = 9. Step 3: Compute the differences: 2 to 7 is +5, 5 to 10 is +5, 3 to 8 is +5, and 4 to 9 is +5. The rule is "add 5" to each letter position. Step 4: Convert LOMN to numbers. L = 12, O = 15, M = 13, N = 14. Step 5: Apply the +5 shift. 12 + 5 = 17 (Q), 15 + 5 = 20 (T), 13 + 5 = 18 (R), and 14 + 5 = 19 (S). Step 6: This gives the group QTRS. Compare this with the options to find an exact match.


Verification / Alternative check:
To verify, subtract 5 from each letter in QTRS. Q (17) minus 5 gives L (12), T (20) minus 5 gives O (15), R (18) minus 5 gives M (13), and S (19) minus 5 gives N (14). This reproduces LOMN, confirming that the transformation is correct. No other option will convert back to LOMN using a consistent -5 shift, so QTRS is uniquely correct.


Why Other Options Are Wrong:
Option A "PSRQ" rearranges letters and does not follow the exact alphabetical positions obtained using the +5 rule.
Option B "PQRS" is a common sequence but does not match the specific positions Q, T, R, S produced by the transformation.


Common Pitfalls:
Many candidates quickly choose even familiar looking sequences like PQRS without verifying the mapping. In letter coding questions, guessing based on familiarity often leads to errors. Always compute the exact position changes and check whether the same shift applies to all letters in the pair.


Final Answer:
The correct coded form of LOMN is QTRS.

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