In this letter analogy question, select the related group of letters from the given alternatives to complete the pattern: WTQ : DGJ :: NKH : ?

Introduction / Context:
This letter analogy question involves identifying a slightly less obvious pattern between two groups of letters. You are given the pair WTQ and DGJ and asked which group of letters should correspond to NKH. Unlike simple plus or minus shifts, this pattern is based on a constant sum of alphabet positions, which makes the question slightly more challenging and therefore suitable for higher level reasoning practice.

Given Data / Assumptions:
The first pair is WTQ and DGJ.
The second starting group is NKH.
The options to complete the analogy are MPS, LOR, NQT, ORV, and GXO.
We assume the same transformation that links WTQ to DGJ must be applied to NKH to produce the correct group.

Concept / Approach:
Instead of looking only for a fixed shift from the first group to the second group, it is useful in some analogies to consider the sum of letter positions. In this problem, each corresponding pair of letters from WTQ and DGJ adds up to the same total. This constant sum technique is a common pattern in more advanced letter analogies. Once we find that constant total, we must select the group of letters that produces the same total when each letter is paired with the corresponding letter in NKH.

Step-by-Step Solution:
Step 1: Write the positions of letters in WTQ. W = 23, T = 20, Q = 17.Step 2: Write the positions of letters in DGJ. D = 4, G = 7, J = 10.Step 3: Compute the sums of each pair: W + D = 23 + 4 = 27, T + G = 20 + 7 = 27, Q + J = 17 + 10 = 27.Step 4: Observe that every pair of corresponding letters adds up to 27. This is the hidden rule.Step 5: Now write the positions for NKH. N = 14, K = 11, H = 8.Step 6: To maintain the same pattern, each letter in the answer group must satisfy letter position + N or K or H equals 27.Step 7: Compute required positions: For N, needed position is 27 - 14 = 13, which corresponds to M. For K, 27 - 11 = 16, which corresponds to P. For H, 27 - 8 = 19, which corresponds to S. Thus the required group is MPS.

Verification / Alternative check:
We can verify by directly checking the sums with the candidate MPS. Positions are M = 13, P = 16, and S = 19. Now add them to N, K, and H respectively. N (14) plus M (13) equals 27, K (11) plus P (16) equals 27, and H (8) plus S (19) equals 27. Since all three sums match the constant 27, the group MPS perfectly follows the same rule as WTQ and DGJ. None of the other options maintains this constant sum property for all three letter positions, so MPS is uniquely correct.

Why Other Options Are Wrong:
Option LOR does not produce a sum of 27 for each position when combined with NKH, so it breaks the constant sum pattern.
Option NQT paired with NKH often results in sums greater or less than 27, clearly violating the rule we discovered.
Option ORV gives inconsistent totals across the three positions, so it cannot be based on the same constant sum of 27.
Option GXO is included as a distractor and does not yield a uniform sum when its letters are added position wise to those of NKH.

Common Pitfalls:
Many candidates initially search only for a direct plus or minus shift from WTQ to DGJ and become stuck when the shifts differ between letters. This is a signal to try alternative patterns such as constant sums or mirror positions relative to the middle of the alphabet. A disciplined approach is to test whether the differences are consistent and, if not, to explore constant sums. Recognising this technique can help you tackle a wide range of letter analogy questions efficiently.

Final Answer:
Therefore, using the constant sum of alphabet positions equal to 27, the correct completion of the analogy WTQ : DGJ :: NKH : ? is MPS.