In this letter analogy question, DR is related to KK, so you must select the pair of letters that stands in the same relationship to LN from the given alternatives.

Introduction / Context:

This is a slightly different letter analogy that involves a numeric relationship between pairs of letters. The pair "DR : KK" is formed by applying a specific rule to the positions of D and R. Your task is to identify the same rule and use it to convert the pair "LN" into another pair from the given options. Recognising patterns in sums and differences of alphabet positions is crucial here.

Given Data / Assumptions:

- First pair: DR becomes KK.
- Second pair to complete: LN becomes ?.
- Alphabet positions: A = 1, B = 2, ..., Z = 26.
- Options: QH, SH, SG, GR and MM.
- The same numeric relationship must link both letters of each input pair to the corresponding output pair.

Concept / Approach:

The pattern used here involves both the sum of the positions of the letters in each pair and a fixed increase applied to the first letter. For DR, D is the 4th letter and R is the 18th letter. Their sum is 22. The output KK has both letters K, and K is the 11th letter. Two Ks together also sum to 22 (11 + 11). Additionally, the first letter in the output, K, is 7 more than the first input letter D. We will confirm this and then apply the same logic to LN.

Step-by-Step Solution:

Verification / Alternative check:

We can verify by checking the total sums again. For LN (12 and 14), the total is 26. For SG, S is 19 and G is 7, and 19 + 7 = 26. The sum is preserved just like in DR and KK. Also, S is exactly 7 positions ahead of L, matching the increase observed from D to K in the first pair. No other option satisfies both the sum-preservation and the +7 increment for the first letter simultaneously, so SG is the unique correct answer.

Why Other Options Are Wrong:

QH corresponds to 17 and 8. Their sum is 25, not 26, so it fails the sum-preservation rule.

SH is 19 and 8, giving a sum of 27, which again does not match 26.

GR is 7 and 18, with a sum of 25, and G is not 7 steps ahead of L, so it breaks both parts of the pattern.

MM would give 13 and 13, whose sum is 26, but 13 is only 1 step ahead of L, not 7, so the increment condition is violated.

Common Pitfalls:

Students often look only for direct shifts such as adding or subtracting a fixed number to each letter independently. In this question, the pattern depends on a combination of two ideas: shifting the first letter by a fixed amount and preserving the total sum of positions. Ignoring either condition leads to wrong answers. Always examine both the individual letter changes and the behaviour of the pair as a whole.

Final Answer:

Using the same pattern that converts DR into KK, the pair LN is converted into SG.