In the code PROBLEM : 2948375, three of the following four word–number pairs follow the same letter–digit relationship. Choose the pair that does not follow this relationship.

Introduction / Context:
This question is about letter to digit coding. You are given a reference code, PROBLEM : 2948375, and several other word–number pairs. Three of those pairs follow exactly the same coding rule as the reference, and one pair breaks the rule. You must identify the incorrect or differently related pair.

Given Data / Assumptions:

• Reference code: PROBLEM is coded as 2948375.
• Option A: BORE : 8497.
• Option B: MOEP : 5972.
• Option C: LBOR : 3849.
• Option D: OMEP : 4572.
• Option E: ROLE : 9477 (extra plausible pair added as a distractor in the enhanced options; the original test comparison focuses on A to D).
• The task is to deduce the mapping between letters in PROBLEM and digits in 2948375, then verify each option against that mapping.

Concept / Approach:
The first step is to map each distinct letter in the word PROBLEM to the digit above or below it in the code 2948375. Once we have a complete mapping for P, R, O, B, L, E and M, we apply the same mapping to the letters in BORE, MOEP, LBOR and OMEP. A correct pair will match the mapping exactly; any mismatch marks the odd pair out.

Step-by-Step Solution:
Step 1: Align PROBLEM with 2948375.P R O B L E M2 9 4 8 3 7 5Step 2: From this alignment, deduce the letter–digit mapping.P → 2, R → 9, O → 4, B → 8, L → 3, E → 7, M → 5.Step 3: Apply this mapping to each option.For BORE: B → 8, O → 4, R → 9, E → 7, so the correct code is 8497. Option A gives 8497, which is correct.For LBOR: L → 3, B → 8, O → 4, R → 9, so the correct code is 3849. Option C gives 3849, which is correct.For OMEP: O → 4, M → 5, E → 7, P → 2, so the correct code is 4572. Option D gives 4572, which is correct.Step 4: Now check MOEP.For MOEP: M → 5, O → 4, E → 7, P → 2, so the correct code should be 5472.Step 5: Option B gives MOEP : 5972, which uses 9 instead of 4 for the letter O. This does not match the established mapping.Step 6: Therefore, MOEP : 5972 does not follow the same coding rule as PROBLEM : 2948375 and is the differently related pair.

Verification / Alternative check:
You can also verify by checking just the letter O, which is easy to track. In the reference, O is mapped to 4. Any correctly coded word containing O must therefore show the digit 4 in the position of O. In BORE, the second letter O maps to 4, which is present. In LBOR, the third letter O maps to 4, which appears correctly as the third digit. In OMEP, the first letter O maps to 4, and the code begins with 4. But in MOEP, the second letter is O, yet the second digit is 9, not 4. This quick check alone is enough to reveal the mismatch.

Why Other Options Are Wrong:
Options A, C and D all respect the original mapping without any conflict. They simply rearrange the same letters PROBLEM and map each letter to its correct digit. Since they are consistent with the code pattern, they are not the odd ones. Option E is an additional distractor for extended practice. Within the original set of four comparison pairs, only MOEP : 5972 violates the coding rule.

Common Pitfalls:
Some candidates attempt to infer a complicated rule based on letter positions in the alphabet, which is not necessary here. The mapping is direct and positional from the reference word and its code. Another mistake is to misalign letters and digits when reading the reference, which leads to a wrong mapping. Always write the letters and digits in one clear row before mapping.

Final Answer:
The pair that does not follow the given letter–digit coding relationship is MOEP : 5972.