Understanding Letter Cluster Analogies

This question asks us to identify a relationship between letter clusters. We are given two pairs that follow a certain pattern, and we need to apply that same pattern to find the missing letter cluster in a third pair.

The given relationships are:

• EKH : BIE
• MGP : JEM
• ? : QDI

Let's analyze the pattern in the first two pairs by looking at the change in position of each letter in the English alphabet.

Analyzing the Pattern in EKH : BIE

Let's look at the position of each letter:

• E is the 5th letter, B is the 2nd letter. Change: $5 - 2 = 3$ (or moving 3 positions backward).
• K is the 11th letter, I is the 9th letter. Change: $11 - 9 = 2$ (or moving 2 positions backward).
• H is the 8th letter, E is the 5th letter. Change: $8 - 5 = 3$ (or moving 3 positions backward).

So, the pattern from the first cluster (EKH) to the second (BIE) is a positional shift of -3, -2, -3 for the first, second, and third letters respectively.

Analyzing the Pattern in MGP : JEM

Let's verify if the same pattern holds for the second pair:

• M is the 13th letter, J is the 10th letter. Change: $13 - 10 = 3$ (or moving 3 positions backward).
• G is the 7th letter, E is the 5th letter. Change: $7 - 5 = 2$ (or moving 2 positions backward).
• P is the 16th letter, M is the 13th letter. Change: $16 - 13 = 3$ (or moving 3 positions backward).

The pattern is consistent: -3, -2, -3 for the corresponding letters.

Applying the Pattern to Find the Missing Letter Cluster

The third pair is ? : QDI. Let the missing letter cluster be XYZ. The relationship is XYZ : QDI. This means applying the pattern (-3, -2, -3) to XYZ should result in QDI.

• X shifted by -3 gives Q. This means Q is 3 positions before X. Therefore, X must be 3 positions after Q.
• Y shifted by -2 gives D. This means D is 2 positions before Y. Therefore, Y must be 2 positions after D.
• Z shifted by -3 gives I. This means I is 3 positions before Z. Therefore, Z must be 3 positions after I.

Let's find the letters for X, Y, and Z based on the positions of Q, D, and I:

• Q is the 17th letter. X is $17 + 3 = 20$th letter. The 20th letter is T. So, X = T.
• D is the 4th letter. Y is $4 + 2 = 6$th letter. The 6th letter is F. So, Y = F.
• I is the 9th letter. Z is $9 + 3 = 12$th letter. The 12th letter is L. So, Z = L.

The missing letter cluster is TFL.

Let's verify this:

• T (20th) - 3 = Q (17th)
• F (6th) - 2 = D (4th)
• L (12th) - 3 = I (9th)

This matches QDI, confirming that TFL is the correct missing letter cluster.

Conclusion

Based on the consistent -3, -2, -3 positional shift pattern observed in the first two analogy pairs, the missing letter cluster related to QDI in the third pair is TFL.

Letter Cluster Analogy Revision Table

Additional Information on Letter Analogies

Letter analogies are a common type of verbal reasoning question. They test your ability to identify patterns based on the position of letters in the alphabet, skipping of letters, or even relationships between groups of letters. Common patterns include:

• Positional shifts (forward or backward).
• Skipping a fixed number of letters.
• Reversing the order of letters.
• Vowel/consonant patterns.
• Combination of different patterns.

To solve letter analogy problems, it's often helpful to write down the alphabetical position of each letter or visualize the alphabet.