Understanding the Letter Pair Analogy

This question asks us to find a relationship between the first pair of letters (CP) and the second pair (ES), and then apply that same relationship to find the missing pair among the given options. This type of question tests our ability to recognize patterns in sequences.

Analyzing the Relationship in CP : ES

First, let's find the positions of the letters in the English alphabet:

• C is the 3^rd letter.
• P is the 16^th letter.
• E is the 5^th letter.
• S is the 19^th letter.

Now, let's look at the relationship between the letters in the first pair (CP) and the second pair (ES):

• First letters: C to E. The position changes from 3 to 5. This is an increase of 2 positions ($3 + 2 = 5$). So, C + 2 letters = E.
• Second letters: P to S. The position changes from 16 to 19. This is an increase of 3 positions ($16 + 3 = 19$). So, P + 3 letters = S.

The pattern identified is: The first letter of the pair is shifted forward by 2 positions, and the second letter is shifted forward by 3 positions.

Applying the Pattern to the Options

Let's check which option follows the same pattern (+2 for the first letter, +3 for the second letter):

1. AN : CQ
   • A is the 1^st letter, N is the 14^th letter.
   • C is the 3^rd letter, Q is the 17^th letter.
   • Check first letters: A + 2 = C ($1 + 2 = 3$). This matches.
   • Check second letters: N + 3 = Q ($14 + 3 = 17$). This matches.
   • This option follows the pattern.
2. KX : FS
   • K is the 11^th letter, X is the 24^th letter.
   • F is the 6^th letter, S is the 19^th letter.
   • Check first letters: K + 2 = M ($11 + 2 = 13$). The option has F (6^th). This does not match. (The actual relation is K - 5 = F).
3. BN : WL
   • B is the 2^nd letter, N is the 14^th letter.
   • W is the 23^rd letter, L is the 12^th letter.
   • Check first letters: B + 2 = D ($2 + 2 = 4$). The option has W (23^rd). This does not match. (The actual relation is B + 21 = W).
4. JR : EM
   • J is the 10^th letter, R is the 18^th letter.
   • E is the 5^th letter, M is the 13^th letter.
   • Check first letters: J + 2 = L ($10 + 2 = 12$). The option has E (5^th). This does not match. (The actual relation is J - 5 = E).

Conclusion

By analyzing the pattern of shifts between the letters in the initial pair (CP : ES), we found the rule to be adding 2 to the first letter's position and adding 3 to the second letter's position. Applying this rule, the pair AN : CQ is the only one that matches the identified pattern.