Understanding Letter-Cluster Analogy Problems

This question asks us to find a relationship between letter-clusters. The relationship that exists between the first and second letter-clusters must be the same as the relationship between the third and fourth letter-clusters. We then apply this identified relationship to the fifth letter-cluster to find the missing sixth letter-cluster.

Analyzing the First Letter-Cluster Analogy: SAME : WDOF

Let's examine the relationship between each letter in 'SAME' and the corresponding letter in 'WDOF'. We can look at their positions in the English alphabet (A=1, B=2, C=3, ... Z=26).

• For the first letter: S is the 19th letter, W is the 23rd letter. The difference is \(23 - 19 = 4\). So, S → W is a shift of +4.
• For the second letter: A is the 1st letter, D is the 4th letter. The difference is \(4 - 1 = 3\). So, A → D is a shift of +3.
• For the third letter: M is the 13th letter, O is the 15th letter. The difference is \(15 - 13 = 2\). So, M → O is a shift of +2.
• For the fourth letter: E is the 5th letter, F is the 6th letter. The difference is \(6 - 5 = 1\). So, E → F is a shift of +1.

The pattern observed is a sequential shift of +4, +3, +2, +1 for the first, second, third, and fourth letters, respectively.

Verifying the Pattern with the Second Letter-Cluster Analogy: LIFE : PLHF

Let's check if the same pattern holds for 'LIFE' and 'PLHF'.

• For the first letter: L is the 12th letter, P is the 16th letter. The difference is \(16 - 12 = 4\). So, L → P is a shift of +4.
• For the second letter: I is the 9th letter, L is the 12th letter. The difference is \(12 - 9 = 3\). So, I → L is a shift of +3.
• For the third letter: F is the 6th letter, H is the 8th letter. The difference is \(8 - 6 = 2\). So, F → H is a shift of +2.
• For the fourth letter: E is the 5th letter, F is the 6th letter. The difference is \(6 - 5 = 1\). So, E → F is a shift of +1.

The pattern of +4, +3, +2, +1 is confirmed.

Applying the Pattern to the Fifth Letter-Cluster: GOAL : ?

Now, we apply the established pattern (+4, +3, +2, +1) to the letters in 'GOAL'.

• For the first letter G (7th): G + 4 letters = K (11th letter).
• For the second letter O (15th): O + 3 letters = R (18th letter).
• For the third letter A (1st): A + 2 letters = C (3rd letter).
• For the fourth letter L (12th): L + 1 letter = M (13th letter).

Combining the resulting letters, we get KRCM.

Conclusion

Based on the analysis of the relationships between the letter-clusters SAME:WDOF and LIFE:PLHF, the consistent pattern is a letter shift of +4, +3, +2, +1. Applying this pattern to GOAL results in the letter-cluster KRCM.

The final letter-cluster is KRCM.

Revision Table: Letter Analogy Summary

Additional Information: Solving Letter Reasoning

Letter reasoning questions, like letter-cluster analogies, test your ability to identify patterns in sequences or pairs of letters. Common patterns include:

• Alphabetical Position: Shifting letters forward or backward based on their position (A=1, B=2, ...). The shift can be constant or follow a sequence (+1, +2, +3, ... or +4, +3, +2, +1 as in this case).
• Skip Counting: Skipping a fixed number of letters (e.g., skipping every other letter).
• Reverse Alphabetical Order: Using the alphabet backwards (Z=1, Y=2, ...).
• Vowel/Consonant Patterns: Relationships based on whether a letter is a vowel or a consonant.
• Combination of Patterns: Sometimes, multiple patterns might be applied simultaneously or to different parts of the word.

Practicing with different types of letter sequence and analogy problems helps improve pattern recognition skills crucial for these questions.