In this letter analogy, “LNPR is to TVXZ as NPRT is to ______”. Find the group of letters that should replace the question mark so that the same alphabet shift rule holds in both pairs.

Introduction / Context:
This is a letter analogy problem, where groups of letters are related by a consistent alphabet shift pattern. We are given “LNPR : TVXZ” and must determine which sequence corresponds to “NPRT” under the same rule. Such questions test your ability to work with positions of letters in the English alphabet and apply constant shifts.

Given Data / Assumptions:

• First pair: LNPR → TVXZ. • Second term: NPRT → ? (unknown). • The original options do not match the correct shifted result, so we apply the Recovery First Policy and reconstruct valid options. • We treat A = 1, B = 2, ..., Z = 26, and allow wrapping from Z back to A.

Concept / Approach:
To solve a letter analogy, we examine how each letter in the first word changes to the corresponding letter in the second word. If the shifts are consistent (for example, all letters move forward by the same number of positions), we apply the same shift to the letters in the new word. If wrapping is needed past Z, we continue counting from A again. Once we obtain the correct target sequence, we can reconstruct plausible but incorrect alternatives.

Step-by-Step Solution:
Step 1: Write the positions for LNPR. L = 12, N = 14, P = 16, R = 18. Step 2: Write the positions for TVXZ. T = 20, V = 22, X = 24, Z = 26. Step 3: Find the shift. For each letter, 20 − 12 = 8, 22 − 14 = 8, 24 − 16 = 8, and 26 − 18 = 8. So every letter is shifted forward by +8 positions. Step 4: Apply the same +8 shift to NPRT. N = 14 becomes 14 + 8 = 22 → V. P = 16 becomes 24 → X. R = 18 becomes 26 → Z. Step 5: For T = 20, adding 8 gives 28. Since we have only 26 letters, we wrap around: 28 − 26 = 2, which is B. Step 6: The resulting sequence is V X Z B (VXZB). This is the only correct mapping under the identified rule.

Verification / Alternative check:
We can check reversibility. Subtracting 8 from each letter in TVXZ brings us back to LNPR, confirming the forward shift of +8 is correct. Applying the same subtraction to VXZB (V → N, X → P, Z → R, B → T) brings us back to NPRT. This confirms that VXZB is the correct related group. As the original options are permutations of the letters F, H, J, L, they cannot arise from a simple +8 shift applied consistently to NPRT, which is why the options must be repaired.

Why Other (Original) Options Are Wrong:
• FHJL, FLJH, HFLJ, JLHF: All involve only the letters F, H, J, and L. None of these letters are obtained by adding a constant 8 to N, P, R, or T. Therefore, they are inconsistent with the discovered rule.

Common Pitfalls:
Test takers sometimes match options by superficial symmetry (for example, patterns that look balanced) rather than actually computing letter positions. Another frequent mistake is to forget wrapping after Z. When a computed position exceeds 26, you must subtract 26 to loop back to the start of the alphabet. Carefully checking each letter prevents such errors and leads uniquely to VXZB.

Final Answer:
The correct related letter group is VXZB.