Solving Letter-Cluster Analogy Questions

This question requires us to identify the relationship between pairs of letter clusters and apply that relationship to a new cluster. We are given two pairs: NHT is related to PEX, and KDF is related to MAJ. We need to find the letter cluster related to UMR in the same way.

Analyzing the Pattern in the First Letter-Cluster Pair: NHT to PEX

Let's look at the transformation for each letter using their position in the English alphabet (A=1, B=2, ..., Z=26):

• The first letter changes from N to P. The position of N is 14, and the position of P is 16. The change in position is $\text{P} - \text{N} = 16 - 14 = +2$.
• The second letter changes from H to E. The position of H is 8, and the position of E is 5. The change in position is $\text{E} - \text{H} = 5 - 8 = -3$.
• The third letter changes from T to X. The position of T is 20, and the position of X is 24. The change in position is $\text{X} - \text{T} = 24 - 20 = +4$.

The pattern for the first pair is a change of $+2, -3, +4$ for the first, second, and third letters, respectively.

Analyzing the Pattern in the Second Letter-Cluster Pair: KDF to MAJ

Let's check if the same pattern holds for the second pair, KDF to MAJ:

• The first letter changes from K to M. The position of K is 11, and the position of M is 13. The change in position is $\text{M} - \text{K} = 13 - 11 = +2$.
• The second letter changes from D to A. The position of D is 4, and the position of A is 1. The change in position is $\text{A} - \text{D} = 1 - 4 = -3$.
• The third letter changes from F to J. The position of F is 6, and the position of J is 10. The change in position is $\text{J} - \text{F} = 10 - 6 = +4$.

The pattern for the second pair is also a change of $+2, -3, +4$. This confirms the consistent rule.

Applying the Discovered Pattern to UMR

Now, we apply the $+2, -3, +4$ pattern to the letter cluster UMR to find the related cluster:

• For the first letter U (position 21): Apply $+2$. The new position is $21 + 2 = 23$. The 23rd letter is W.
• For the second letter M (position 13): Apply $-3$. The new position is $13 - 3 = 10$. The 10th letter is J.
• For the third letter R (position 18): Apply $+4$. The new position is $18 + 4 = 22$. The 22nd letter is V.

Applying the pattern to UMR results in the letter cluster WJV.

Revision Table: Summary of Letter Position Changes

Based on the consistent pattern observed in the first two pairs, the letter cluster related to UMR is WJV.

Additional Information: Types of Reasoning Analogies

Analogy questions are a key part of logical reasoning tests. They require you to find a relationship between two things and apply that same relationship to a different thing. Beyond letter clusters, analogies can involve:

• Word Analogies: Based on synonyms, antonyms, part-whole relationships, cause-effect, etc. (e.g., Hot : Cold :: Up : Down).
• Number Analogies: Based on arithmetic operations, squares, cubes, series patterns. (e.g., 2 : 4 :: 3 : 9).
• Picture Analogies: Based on rotation, reflection, sequence, addition/removal of elements in figures.

Solving analogies improves your ability to spot relationships and patterns quickly, which is useful in many areas of problem-solving.