Understanding Letter Cluster Analogies

This question asks us to find a relationship between the first pair of letter clusters, RJB and TGF, and then apply that same relationship to the third cluster, QPG, to find the missing fourth cluster.

Analyzing the Relationship between RJB and TGF

Let's look at the position of each letter in the English alphabet. We'll compare the letters in the first cluster (RJB) to the corresponding letters in the second cluster (TGF).

• First letter: R in RJB and T in TGF. The position of R is 18, and the position of T is 20. The change is \(20 - 18 = +2\). This can be written as \(R \xrightarrow{+2} T\).
• Second letter: J in RJB and G in TGF. The position of J is 10, and the position of G is 7. The change is \(7 - 10 = -3\). This can be written as \(J \xrightarrow{-3} G\).
• Third letter: B in RJB and F in TGF. The position of B is 2, and the position of F is 6. The change is \(6 - 2 = +4\). This can be written as \(B \xrightarrow{+4} F\).

The pattern of change from RJB to TGF is therefore +2, -3, +4 for the letter positions.

Applying the Pattern to QPG

Now we apply the same +2, -3, +4 pattern to the letters in the third cluster, QPG.

• First letter: Q. Apply the +2 pattern. The position of Q is 17. \(17 + 2 = 19\). The letter at position 19 is S. So, \(Q \xrightarrow{+2} S\).
• Second letter: P. Apply the -3 pattern. The position of P is 16. \(16 - 3 = 13\). The letter at position 13 is M. So, \(P \xrightarrow{-3} M\).
• Third letter: G. Apply the +4 pattern. The position of G is 7. \(7 + 4 = 11\). The letter at position 11 is K. So, \(G \xrightarrow{+4} K\).

Applying the pattern +2, -3, +4 to QPG gives us the letter cluster SMK.

Conclusion

The relationship between the letter clusters follows the pattern of adding 2 to the first letter's position, subtracting 3 from the second letter's position, and adding 4 to the third letter's position. Applying this pattern to QPG results in SMK.

Revision Table: Letter Analogy Patterns

Understanding different types of patterns is key to solving letter analogy questions.

• Position Shift: Adding or subtracting a fixed number from letter positions (as in this question).
• Alphabetical Series: Letters following a sequence like A, C, E or Z, X, V.
• Reverse Alphabetical Order: Using letters from the end of the alphabet (Z, Y, X...).
• Skipping Letters: Skipping a specific number of letters between consecutive terms.
• Vowel/Consonant Pattern: Based on the arrangement of vowels and consonants.

Additional Information: Solving Reasoning Questions

Letter-based reasoning questions test your logical thinking and familiarity with the alphabet. Always write down the letter positions or the changes clearly. Practice with different types of patterns to improve speed and accuracy.