In the following alphabet pattern question, four three letter groups are given (BOH, ERK, HUO and KXQ). In three of these groups, the first to second letter moves forward by 13 positions and the second to third letter moves backward by 7 positions in the alphabet, while one group breaks this pattern. Select the odd letters from the given alternatives.

Introduction / Context:
This is an alphabet coding and pattern recognition question. You are given four letter groups: BOH, ERK, HUO and KXQ. In three of these groups, there is a consistent rule governing the jumps from the first letter to the second and from the second to the third. One group does not follow this rule. Your job is to identify which group breaks the pattern and therefore is the odd one out.

Given Data / Assumptions:

• Letter groups: BOH, ERK, HUO and KXQ.
• Alphabet positions: A = 1, B = 2, ..., Z = 26.
• We examine differences between consecutive letters in each group.
• In three groups, first to second letter increases by 13 positions and second to third decreases by 7 positions.
• Exactly one group fails to satisfy the second part of this pattern.

Concept / Approach:
The approach is to convert each letter into its numerical position and calculate the difference between letters. The pattern here is that in three groups, second position minus first position equals +13, and third position minus second position equals -7. One group instead has a decrease of only 6 in the second jump. Identifying this group requires careful arithmetic but becomes straightforward once you write down the positions.

Step-by-Step Solution:
Step 1: Analyse BOH.B = 2, O = 15, H = 8. First jump: 15 - 2 = 13. Second jump: 8 - 15 = -7. So BOH follows the +13, -7 pattern.Step 2: Analyse ERK.E = 5, R = 18, K = 11. First jump: 18 - 5 = 13. Second jump: 11 - 18 = -7. ERK also follows the pattern.Step 3: Analyse KXQ.K = 11, X = 24, Q = 17. First jump: 24 - 11 = 13. Second jump: 17 - 24 = -7. So KXQ fits the same rule.Step 4: Analyse HUO.H = 8, U = 21, O = 15. First jump: 21 - 8 = 13, which is correct for the first part. Second jump: 15 - 21 = -6, not -7. So HUO breaks the second part of the rule.Step 5: Identify the odd group.BOH, ERK and KXQ all apply the +13, -7 pattern. Only HUO uses +13, -6, so HUO is the odd one out.

Verification / Alternative check:
To verify, you can sketch the alphabet with numbers and trace the moves. For example, starting at B (2), move 13 steps forward to reach O (15), then move 7 steps backward to reach H (8). Repeat this idea for E to R to K and K to X to Q. All three follow the same structure. When you attempt the same for H to U to O, you see that U back to O is only 6 steps, not 7. This visual check reinforces the conclusion that HUO is inconsistent with the established pattern.

Why Other Options Are Wrong:
BOH: Correctly follows the +13, -7 pattern and is therefore not odd.
ERK: Also fits the same positional moves between letters.
KXQ: Again satisfies the +13, -7 jumps and belongs to the main pattern.

Common Pitfalls:
The most common mistake is miscalculating alphabet positions or differences, especially when dealing with double digit positions like 18, 21 or 24. Another error is stopping after noticing that the first jump is +13 in all four groups and assuming that all groups are similar. The key to solving such questions is to check both the first and the second jumps for consistency across all options.

Final Answer:
The odd letter group is HUO, because its second jump between letters is -6, while in the other three groups the second jump is -7 after a first jump of +13.