Solving Letter Cluster Analogy: TON to YTS Pattern

This question is a type of letter cluster analogy. We need to find the relationship between the first pair of letter clusters (TON and YTS) and then apply the same relationship to the third letter cluster (LAR) to find the missing fourth one.

Analyzing the Pattern between TON and YTS

Let's look at the position of each letter in the English alphabet:

• T is the $\text{20}^{\text{th}}$ letter.
• O is the $\text{15}^{\text{th}}$ letter.
• N is the $\text{14}^{\text{th}}$ letter.

Now, let's look at the letters in the second cluster, YTS:

• Y is the $\text{25}^{\text{th}}$ letter.
• T is the $\text{20}^{\text{th}}$ letter.
• S is the $\text{19}^{\text{th}}$ letter.

Let's compare the positions of the corresponding letters:

• First letter: T ($\text{20}$) to Y ($\text{25}$). The difference is $\text{25} - \text{20} = +5$.
• Second letter: O ($\text{15}$) to T ($\text{20}$). The difference is $\text{20} - \text{15} = +5$.
• Third letter: N ($\text{14}$) to S ($\text{19}$). The difference is $\text{19} - \text{14} = +5$.

The pattern is consistent: each letter in the first cluster is shifted forward by 5 positions in the alphabet to get the corresponding letter in the second cluster.

Applying the Pattern to LAR

Now, we apply the same +5 shift pattern to each letter in the third cluster, LAR:

• First letter (L): L is the $\text{12}^{\text{th}}$ letter. Shifting forward by 5 positions: $\text{12} + 5 = \text{17}^{\text{th}}$ letter. The $\text{17}^{\text{th}}$ letter is Q.
• Second letter (A): A is the $\text{1}^{\text{st}}$ letter. Shifting forward by 5 positions: $\text{1} + 5 = \text{6}^{\text{th}}$ letter. The $\text{6}^{\text{th}}$ letter is F.
• Third letter (R): R is the $\text{18}^{\text{th}}$ letter. Shifting forward by 5 positions: $\text{18} + 5 = \text{23}^{\text{rd}}$ letter. The $\text{23}^{\text{rd}}$ letter is W.

Combining the resulting letters, we get QFW.

Therefore, the letter cluster that is related to LAR in the same way that YTS is related to TON is QFW.

Comparing with Options

Let's check our result QFW against the given options:

• Option 1: REW
• Option 2: RFW
• Option 3: QEW
• Option 4: QFW

Our derived letter cluster, QFW, matches Option 4.

Revision Table: Letter Analogy Key Concepts

Additional Information on Reasoning Analogies

Letter analogies are common in verbal reasoning tests. They assess your ability to identify patterns and relationships between letters or groups of letters. These patterns can be based on various rules, such as:

• Alphabetical Position Shift: Adding or subtracting a fixed number from the letter's position (like in this problem).
• Reverse Alphabetical Position: Using position from Z (Z=1, Y=2, etc.).
• Skipping Letters: Patterns involving skipping a specific number of letters.
• Vowel/Consonant Patterns: Relationships based on whether letters are vowels or consonants.
• Reversal of Letters: Reversing the order of letters within the cluster.
• Combination of Rules: Sometimes, a combination of these rules might be used.

To solve letter analogy problems effectively, it's helpful to know the alphabetical positions of letters and practice identifying different types of patterns.