Find the odd pair of letters from the following alternatives based on the fixed alphabetical gap between the two letters.

Introduction / Context:
This letter based odd one out question focuses on the fixed gap between two letters of the alphabet. The majority of pairs follow one constant gap, while one pair uses a different gap size, making it the odd pair.

Given Data / Assumptions:

• Letter pairs: BF, LR, MQ, AE.
• We map letters to positions A = 1, B = 2, ..., Z = 26.
• We check the difference between second and first letter in each pair.

Concept / Approach:
We compute the numerical difference between the positions of the second and first letter in each pair. If three pairs show the same difference and one pair shows a different difference, the latter is the odd one. Here, we look for a constant positive gap pattern such as +4 or +6.

Step-by-Step Solution:
BF: B = 2, F = 6, so the gap is 6 - 2 = 4. MQ: M = 13, Q = 17, gap is 17 - 13 = 4. AE: A = 1, E = 5, gap is 5 - 1 = 4. LR: L = 12, R = 18, gap is 18 - 12 = 6. Thus three pairs have a gap of 4, but LR has a gap of 6 and breaks the pattern.

Verification / Alternative check:
A quick way to verify is to count letters in between. Between B and F there are C, D, E (three letters) and the total step is four. Between M and Q there are N, O, P. Between A and E there are B, C, D. For L to R, however, you pass M, N, O, P, Q, giving a larger step. This confirms that LR has a different spacing from the others.

Why Other Options Are Wrong:

• BF: Shows the common +4 gap and fits the main pattern.
• MQ: Also uses a +4 gap and is similar to BF and AE.
• AE: Again has the same +4 difference between letters.

Common Pitfalls:
Some exam takers may only check that the second letter appears after the first and overlook the exact number of steps, causing all pairs to look similar. Alphabet questions require precise counting of positions or steps, not just rough direction, to find subtle differences like this one.

Final Answer:
LR