Understanding Letter Analogy Patterns

The question asks us to find the pair of letters that has the same relationship as the pair OQ and PT. This type of problem involves identifying a pattern or rule that connects the letters in the first pair and applying that same rule to the second pair to find the missing letters.

Analyzing the Pattern in OQ : PT

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

• O is the 15th letter.
• Q is the 17th letter.
• P is the 16th letter.
• T is the 20th letter.

Now, let's compare the positions:

• From the first letter of the first pair (O) to the first letter of the second pair (P): The position changes from 15 to 16. This is a change of $+1$. We can write this as: $\text{O} \xrightarrow{+1} \text{P}$.
• From the second letter of the first pair (Q) to the second letter of the second pair (T): The position changes from 17 to 20. This is a change of $+3$. We can write this as: $\text{Q} \xrightarrow{+3} \text{T}$.

So, the pattern seems to be adding 1 to the position of the first letter and adding 3 to the position of the second letter.

Applying the Pattern to WZ

Now, we apply the same $+1$ and $+3$ pattern to the letters WZ.

• W is the 23rd letter.
• Z is the 26th letter.

Apply the rule:

• For the first letter: Take the position of W (23) and add 1: $23 + 1 = 24$. The 24th letter of the alphabet is X.
• For the second letter: Take the position of Z (26) and add 3: $26 + 3 = 29$. Since there are only 26 letters, we wrap around. The 27th letter is A (position 1), the 28th is B (position 2), and the 29th is C (position 3). Alternatively, $29 - 26 = 3$. The 3rd letter is C.

Following this pattern, the pair of letters related to WZ is XC.

Verifying the Result

Let's quickly check our result based on the options provided. The pair XC matches one of the options.

Summary of the Analogy Pattern

The analogy OQ : PT follows the rule where the first letter advances by one position (+1), and the second letter advances by three positions (+3).

Applying this rule to WZ:

• W (23) $\xrightarrow{+1}$ X (24)
• Z (26) $\xrightarrow{+3}$ C (3, by wrapping around)

Therefore, the related pair is XC.

Revision Table: Letter Positions

Additional Information: Solving Letter Series and Analogies

Letter series and analogy questions are common in reasoning tests. They require you to find the underlying rule or pattern connecting the letters. Common patterns include:

• Adding or subtracting a fixed number from the letter's position.
• Alternating patterns (e.g., +1, -2, +3, -4).
• Patterns involving squares or cubes of numbers.
• Patterns based on vowels or consonants.
• Patterns based on reversing the alphabet (Z=1, Y=2, etc.).
• Combining multiple rules.

To solve these effectively, it's helpful to know the alphabetical position of each letter and practice identifying different types of patterns quickly.