Analogy Reasoning: BP : BO :: ?

The question requires identifying the relationship between the letter pair BP and BO and applying this relationship to find the correct alternative pair.

Analyzing the Pattern in BP : BO

Let's examine the letters and their positions in the English alphabet:

• B is the 2^nd letter.
• P is the 16^th letter.
• O is the 15^th letter.

The relationship between BP and BO is as follows:

• The first letter remains unchanged (B).
• The second letter changes from P (16^th) to O (15^th), which is the letter immediately preceding it in the alphabet.

The pattern is: Letter1 Letter2 $\rightarrow$ Letter1 (Letter2 - 1)

Evaluating the Alternatives

Option 1: EZ : BV

• E (5^th) $\rightarrow$ B (2^nd)
• Z (26^th) $\rightarrow$ V (22^nd)

Both letters change, and the second letter does not simply precede the first. This does not match the pattern.

Option 2: OG : KB

• O (15^th) $\rightarrow$ K (11^th)
• G (7^th) $\rightarrow$ B (2^nd)

Both letters change significantly. This does not match the pattern.

Option 3: LY : LX

• L (12^th) remains L (12^th).
• Y (25^th) changes to X (24^th), which is the letter immediately preceding Y.

This perfectly matches the pattern identified from BP : BO.

Conclusion

The pair LY : LX follows the same logic where the first letter is constant, and the second letter is the one immediately before it in the alphabet.