Solving Letter Cluster Analogy Questions

This question asks us to find the relationship between letter clusters. We are given two pairs that follow a specific pattern, and we need to apply that same pattern to a third cluster to find its corresponding one.

Analyzing the Given Letter Cluster Analogies

Let's look at the first two pairs provided:

1. LIGHT : ORTSG
2. FANCY : UZMXB

We need to identify the rule that transforms the first word in each pair into the second word.

Identifying the Pattern: Opposite Letters

Let's examine the relationship between the letters in the first pair, LIGHT and ORTSG:

• L and O
• I and R
• G and T
• H and S
• T and G

We can check if these are opposite letters in the English alphabet. Opposite letters are pairs that are equidistant from the beginning and end of the alphabet. For example, A is opposite Z, B is opposite Y, and so on. The sum of the positional values (A=1, Z=26) of opposite letters is always 27.

Let's check the positional values:

• L is the 12th letter, O is the 15th letter. \(12 + 15 = 27\). (Opposites)
• I is the 9th letter, R is the 18th letter. \(9 + 18 = 27\). (Opposites)
• G is the 7th letter, T is the 20th letter. \(7 + 20 = 27\). (Opposites)
• H is the 8th letter, S is the 19th letter. \(8 + 19 = 27\). (Opposites)
• T is the 20th letter, G is the 7th letter. \(20 + 7 = 27\). (Opposites)

The pattern for the first pair is that each letter in the first cluster is replaced by its opposite letter in the alphabet.

Let's verify this pattern with the second pair, FANCY and UZMXB:

• F and U
• A and Z
• N and M
• C and X
• Y and B

Checking positional values:

• F is 6th, U is 21st. \(6 + 21 = 27\). (Opposites)
• A is 1st, Z is 26th. \(1 + 26 = 27\). (Opposites)
• N is 14th, M is 13th. \(14 + 13 = 27\). (Opposites)
• C is 3rd, X is 24th. \(3 + 24 = 27\). (Opposites)
• Y is 25th, B is 2nd. \(25 + 2 = 27\). (Opposites)

The pattern is confirmed: the transformation involves replacing each letter with its opposite letter in the English alphabet.

Applying the Pattern to WATCH

Now, we apply the same "opposite letter" rule to the letter cluster WATCH:

• W: W is the 23rd letter. Its opposite is the \((27 - 23) = 4\)th letter, which is D.
• A: A is the 1st letter. Its opposite is the \((27 - 1) = 26\)th letter, which is Z.
• T: T is the 20th letter. Its opposite is the \((27 - 20) = 7\)th letter, which is G.
• C: C is the 3rd letter. Its opposite is the \((27 - 3) = 24\)th letter, which is X.
• H: H is the 8th letter. Its opposite is the \((27 - 8) = 19\)th letter, which is S.

Putting the opposite letters together, WATCH transforms into DZGXS.

Conclusion

Based on the pattern observed in the first two pairs, the letter cluster related to WATCH is DZGXS.

Let's compare this result with the given options:

• Option 1: DZHXS
• Option 2: DZGYS
• Option 3: DZGXS
• Option 4: DZGXT

Our result, DZGXS, matches Option 3.

Revision Table: Key Concepts

Additional Information on Letter Coding and Analogy

Letter coding and analogy questions are common in reasoning sections of competitive exams. They test your ability to observe patterns and apply logical rules. Common patterns include:

• Shifting positions (e.g., A+1=B, A+2=C).
• Opposite letters (as seen in this question).
• Skipping letters in a sequence.
• Reversing the order of letters.
• Combining different types of shifts or rules.

To solve these questions effectively, it is helpful to know the positional value of each letter in the alphabet and to be able to quickly identify opposite letter pairs. Writing down the alphabet and its numerical positions can be a useful strategy during practice or exams.