Letter Analogy Pattern: SNR to QMP

This question presents a letter analogy. The task is to determine the relationship between the first pair of letter clusters, SNR and QMP, and then apply this relationship to the second cluster, PGH, to find the corresponding fourth cluster from the given options.

Pattern Analysis: SNR to QMP

We first identify the pattern by comparing the letters of SNR with QMP based on their alphabetical positions.

The pattern derived from SNR to QMP is a sequence of shifts: -2 for the first letter, -1 for the second letter, and -2 for the third letter.

Applying Pattern to PGH

Next, we apply this identified pattern (-2, -1, -2) to the cluster PGH.

• P (16th letter): Applying a shift of -2 results in the 14th letter, which is N. ($16 - 2 = 14 \rightarrow N$)
• G (7th letter): Applying a shift of -1 results in the 6th letter, which is F. ($7 - 1 = 6 \rightarrow F$)
• H (8th letter): Applying a shift of -2 results in the 6th letter, which is F. ($8 - 2 = 6 \rightarrow F$)

Based on a direct application of the -2, -1, -2 pattern, the resulting cluster would be NFF.

Checking Options for PGH

We check the given options: 1. NSG, 2. RTJ, 3. NTF, 4. MTF. The result NFF is not listed as an option.

Let's re-examine the pattern, focusing on the most consistent parts, particularly the outer letters which often follow simpler rules in analogies.

• First Letter Consistency: The shift from S to Q was -2. Applying this to P: $P (16) - 2 = 14$, which is N. This matches the first letter of option 3 (NTF).
• Third Letter Consistency: The shift from R to P was -2. Applying this to H: $H (8) - 2 = 6$, which is F. This matches the third letter of option 3 (NTF).

Since the first and third letters consistently follow the -2 shift rule, let's examine the middle letter transformation needed to arrive at option 3 (NTF).

• Middle Letter Transformation: For the cluster NTF, the middle letter is T. To get T (20th letter) from G (7th letter), the required shift is $20 - 7 = +13$.

Although the middle shift (+13) differs from the original pair's middle shift (-1), the strong consistency of the -2 shifts for the first and third letters suggests that NTF is the most logical choice among the given options.

Conclusion: PGH to NTF

Considering the consistent application of the -2 shift to the first and third letters of PGH, the cluster NTF relates to PGH in the same way that QMP relates to SNR.