Understanding Letter Cluster Patterns and Analogies

This question asks us to identify a pair of letter clusters that follows the same pattern as the given examples. We are given one complete pair, FJM : DHKOQR, and another single cluster, MOP, implying it relates to the pattern. We need to analyze the pattern in the example pair and apply it to the given options.

Analyzing the Pattern in FJM : DHKOQR

Let's look at the alphabetical position of each letter in the first cluster (FJM) and the second cluster (DHKOQR).

• F is the 6th letter.
• J is the 10th letter.
• M is the 13th letter.

In the second cluster:

• D is the 4th letter.
• H is the 8th letter.
• K is the 11th letter.
• O is the 15th letter.
• Q is the 17th letter.
• R is the 18th letter.

Let's compare the positions of the letters in the first cluster to the letters in the second cluster:

• F (6) to D (4): $\text{Position}_{D} = \text{Position}_{F} - 2$. ($4 = 6 - 2$)
• J (10) to H (8): $\text{Position}_{H} = \text{Position}_{J} - 2$. ($8 = 10 - 2$)
• M (13) to K (11): $\text{Position}_{K} = \text{Position}_{M} - 2$. ($11 = 13 - 2$)

This shows a consistent pattern for the first three letters of the second cluster: subtracting 2 from the position of the corresponding letter in the first cluster.

Now let's look at the remaining letters in the second cluster (OQR):

• F (6) to O (15): $\text{Position}_{O} = \text{Position}_{F} + 9$. ($15 = 6 + 9$)
• J (10) to Q (17): $\text{Position}_{Q} = \text{Position}_{J} + 7$. ($17 = 10 + 7$)
• M (13) to R (18): $\text{Position}_{R} = \text{Position}_{M} + 5$. ($18 = 13 + 5$)

The pattern for the second cluster seems to be a combination: the first three letters are derived by subtracting 2 from the first cluster's letters, and the next three letters are derived by adding 9, 7, and 5 respectively.

However, the options provided consist of pairs of letter clusters where each cluster has only three letters. This suggests that the pattern relevant to the options is the simpler part observed in the example pair: subtracting 2 from the alphabetical position of each letter in the first cluster to get the corresponding letter in the second cluster.

Applying the Pattern to the Options

Let's test each option using the simplified pattern: subtract 2 from the position of each letter in the first cluster to get the second cluster.

Option 1: JPT : TPJ

• J (10) - 2 = H (8). The first letter in the second cluster is T (20). H is not T.

This pair does not follow the pattern.

Option 2: SWY : UYA

• S (19) - 2 = Q (17). The first letter in the second cluster is U (21). Q is not U.

This pair does not follow the pattern.

Option 3: LMO : KPQ

• L (12) - 2 = J (10). The first letter in the second cluster is K (11). J is not K.

This pair does not follow the pattern.

Option 4: NTW : LRU

• N (14) - 2 = L (12). This matches the first letter L in the second cluster (LRU).
• T (20) - 2 = R (18). This matches the second letter R in the second cluster (LRU).
• W (23) - 2 = U (21). This matches the third letter U in the second cluster (LRU).

All letters in the second cluster (LRU) are obtained by subtracting 2 from the alphabetical position of the corresponding letters in the first cluster (NTW).

Conclusion

Option 4, NTW : LRU, is the only pair that follows the pattern of subtracting 2 from the alphabetical position of each letter in the first cluster to obtain the corresponding letter in the second cluster. This aligns with the initial part of the pattern observed in the example FJM : DHKOQR.

Revision Table: Letter Pattern Analysis

Additional Information: Analogy and Pattern Recognition

Analogy questions in reasoning tests assess your ability to identify relationships and patterns between elements. In this case, the elements are letter clusters. The key steps to solving such problems are:

1. Observe the relationship between the first pair of elements given as an example.
2. Look for patterns based on letter positions, differences between consecutive letters, skipping letters, or combining positions.
3. Formulate a rule or set of rules that describes the observed pattern.
4. Apply the derived pattern to the first element of each option.
5. Check if the result matches the second element in the option pair.
6. The option pair that successfully follows the derived pattern is the correct answer.

Sometimes, as seen in the example, the pattern might be multi-layered or involve different transformations. However, the options will guide you to the specific pattern that needs to be applied among them.