In this letter to single letter analogy, “DI is to M as CR is to ______”. Select the letter that completes the analogy by following the same alphabet position sum pattern used in the first pair.

Introduction / Context:
This question involves a mapping from a pair of letters to a single letter based on their positions in the English alphabet. The pair DI maps to the single letter M. We must discover how this mapping works numerically and then apply the same rule to the pair CR to determine the correct resulting letter. This type of problem is common in verbal reasoning tests where letter codes represent simple arithmetic rules.

Given Data / Assumptions:

• Example mapping: DI → M. • Target mapping: CR → ? • Options: Y, Q, P, U. • Alphabet positions: A = 1, B = 2, ..., Z = 26.

Concept / Approach:
The most natural idea is that the single letter represents some arithmetic combination of the positions of the two letters in the pair. A common rule is to take the sum of the positions and then convert that sum back into a letter. If this rule works for DI, we then apply exactly the same rule to CR and choose the option corresponding to the resulting position. No reverse order or subtraction is suggested in the example, so we concentrate on addition.

Step-by-Step Solution:
Step 1: Convert D and I to numeric positions. D = 4, I = 9. Step 2: Add the positions. 4 + 9 = 13. Step 3: Translate the result back into a letter. The 13th letter of the alphabet is M, which matches the mapping DI → M. Step 4: Apply the same rule to CR. C = 3, R = 18. Add the positions: 3 + 18 = 21. Step 5: Translate 21 back into a letter. The 21st letter of the alphabet is U. Step 6: Match U with the options; option D is U.

Verification / Alternative check:
We can test alternate rules such as difference or average. The difference of DI positions is 9 − 4 = 5, which would map to E, not M. The average (4 + 9) / 2 is 6.5, not an integer. Thus, summing the positions is the only simple rule that returns M. When the same sum rule gives U for CR, and U appears among the options, the rule is consistent and well supported.

Why Other Options Are Wrong:
• Y: Position 25, which would need a sum of 25 that does not arise from 3 and 18. • Q: Position 17, not equal to 3 + 18. • P: Position 16, again not matching the required sum of 21.

Common Pitfalls:
Candidates sometimes guess letters that feel intuitively far from or close to the originals without checking numeric positions. Another error is to apply a different operation for the second pair instead of strictly repeating the one identified from the first pair. Always convert letters into numbers, compute precise sums or differences, and then map back into letters using the same rule for every pair.

Final Answer:
The letter that correctly completes the analogy is U.