In this letter series analogy, ADH is related to ILP by a constant forward shift; using the same rule, select the group of letters that completes the pattern: ADH : ILP :: GJN : ?

Introduction / Context:
This problem is from the alphabet analogy section, where each letter in a group is transformed using a fixed rule. You are given the pair ADH : ILP and asked to find the corresponding group for GJN. To solve such questions, you must be comfortable with alphabet positions and systematic shifts.

Given Data / Assumptions:

• The English alphabet is numbered A = 1 through Z = 26.
• The first group ADH maps to ILP.
• The same mapping rule must be applied to GJN.
• Exactly one option will conform to the same consistent shift applied to all letters.

Concept / Approach:
The usual strategy is to convert each letter to its numeric position and check the difference between corresponding letters of the two groups. If the difference is constant, we have a uniform shift code. If the difference alternates or changes in a pattern, we capture that and apply it to the second group. Here, we look for a simple constant addition to each position from ADH to ILP.

Step-by-Step Solution:
Step 1: Write positions of A, D and H. A = 1, D = 4 and H = 8.Step 2: Write positions of I, L and P. I = 9, L = 12 and P = 16.Step 3: Compute the differences: A (1) to I (9) is +8; D (4) to L (12) is +8; H (8) to P (16) is also +8.Step 4: Conclude that each letter in ADH is shifted forward by 8 positions to obtain ILP.Step 5: Now apply the same +8 rule to GJN. Positions are G = 7, J = 10 and N = 14.Step 6: Add 8 to each position: 7 + 8 = 15 (O), 10 + 8 = 18 (R), 14 + 8 = 22 (V).Step 7: The resulting group is ORV, which matches option B.

Verification / Alternative check:
We confirm our finding by checking whether any other option could arise from a different simple rule. If we tried a mixed pattern like plus 7, plus 9 or alternating shifts, it would not reproduce ILP cleanly. The uniform plus 8 pattern works perfectly for all letters in the first pair and gives ORV for the second group, which appears exactly in the options. This makes the rule both valid and unique.

Why Other Options Are Wrong:
Option A, OVR, contains the same letters but in a different order, which does not maintain corresponding positions. Option C, PVR, and option D, PWR, introduce letters that cannot be obtained by adding +8 to G, J and N. Since the code must preserve the one to one order of positions with the same shift, those options break the pattern and are incorrect.

Common Pitfalls:
One common error is to focus only on the presence of certain letters while ignoring order and exact differences. Another is to try complicated patterns before testing the simplest possibility of a constant shift. Always compute the numeric difference between each pair of letters before jumping to conclusions.

Final Answer:
The group of letters that completes the analogy correctly is ORV, so option B is the right answer.