Understanding Letter-Cluster Analogy Questions

Letter-cluster analogy questions ask you to find the relationship between the first two letter-clusters and then apply the same relationship to the third letter-cluster to find the fourth one. In this specific letter-cluster analogy, we need to find the pattern connecting 'FELT' and 'PAVP' and apply it to 'SACK'.

Analyzing the Pattern in the First Letter-Cluster Pair: FELT to PAVP

Let's examine the relationship between each letter in 'FELT' and its corresponding letter in 'PAVP'. We can use the alphabetical position of each letter (A=1, B=2, ..., Z=26) to identify the pattern.

The pattern observed is that the alphabetical position of the first letter increases by 10, the second decreases by 4, the third increases by 10, and the fourth decreases by 4. We can write this pattern as +10, -4, +10, -4.

When the position goes beyond 26 (for addition) or below 1 (for subtraction), we wrap around the alphabet (e.g., after Z comes A, before A comes Z).

Applying the Pattern to the Third Letter-Cluster: SACK

Now, let's apply the identified pattern (+10, -4, +10, -4) to the letter-cluster 'SACK'.

• First letter (S): S is the 19th letter. Applying $+10$, we get $19 + 10 = 29$. Since there are 26 letters, we wrap around: $29 - 26 = 3$. The 3rd letter is C.
• Second letter (A): A is the 1st letter. Applying $-4$, we get $1 - 4 = -3$. To wrap around backwards, we add 26: $-3 + 26 = 23$. The 23rd letter is W.
• Third letter (C): C is the 3rd letter. Applying $+10$, we get $3 + 10 = 13$. The 13th letter is M.
• Fourth letter (K): K is the 11th letter. Applying $-4$, we get $11 - 4 = 7$. The 7th letter is G.

Combining the results for each letter, the letter-cluster related to SACK is CWMG.

Checking the Options

Let's compare our result CWMG with the given options:

1. BXMH
2. CXNG
3. CWMG
4. BWNH

Our derived letter-cluster CWMG matches Option 3.

Conclusion

The relationship between FELT and PAVP follows the pattern of changing the alphabetical position of each letter by +10, -4, +10, and -4 respectively, with wrapping around the alphabet. Applying this pattern to SACK results in CWMG.

Revision Table: Letter-Cluster Analogy Pattern

Additional Information: Solving Reasoning Letter Problems

Letter-based reasoning problems, including letter-cluster analogies and letter series, often rely on understanding the sequential order and numerical position of letters in the alphabet. Common patterns involve:

• Adding or subtracting a constant value to the letter's position.
• Alternating addition and subtraction patterns (+A, -B, +C, -D...).
• Patterns based on vowels and consonants.
• Skipping a fixed number of letters.
• Reversing the order of letters.
• Combining multiple patterns.

Practicing with alphabetical positions and identifying simple numerical sequences is key to solving these types of questions efficiently.