Understanding the Letter Coding System

The problem describes a specific coding system where words are converted into numerical codes. We are given two examples to help us decipher the rule: ORATORY is coded as 116, and RAVENOUS is coded as 119. We need to apply the same rule to find the code for IRIDOLOGY.

Let's analyze the given examples by looking at the alphabetical position of each letter (A=1, B=2, ..., Z=26).

Analyzing ORATORY's Code

The word ORATORY has the following letters and their corresponding alphabetical positions:

• O: 15
• R: 18
• A: 1
• T: 20
• O: 15
• R: 18
• Y: 25

Let's calculate the sum of these positions:

\( \text{Sum} = 15 + 18 + 1 + 20 + 15 + 18 + 25 = 112 \)

The given code for ORATORY is 116. The difference between the code and the sum of positions is:

\( \text{Difference} = 116 - 112 = 4 \)

Analyzing RAVENOUS's Code

Now let's analyze the word RAVENOUS. Its letters and alphabetical positions are:

• R: 18
• A: 1
• V: 22
• E: 5
• N: 14
• O: 15
• U: 21
• S: 19

Let's calculate the sum of these positions:

\( \text{Sum} = 18 + 1 + 22 + 5 + 14 + 15 + 21 + 19 = 115 \)

The given code for RAVENOUS is 119. The difference between the code and the sum of positions is:

\( \text{Difference} = 119 - 115 = 4 \)

Identifying the Coding Rule

In both examples, the code is obtained by adding 4 to the sum of the alphabetical positions of the letters in the word. So, the coding rule appears to be:

\( \text{Code} = (\text{Sum of alphabetical positions}) + 4 \)

Applying the Rule to IRIDOLOGY

Now we apply this rule to the word IRIDOLOGY. Let's find the alphabetical positions of its letters:

• I: 9
• R: 18
• I: 9
• D: 4
• O: 15
• L: 12
• O: 15
• G: 7
• Y: 25

Calculate the sum of these positions:

\( \text{Sum} = 9 + 18 + 9 + 4 + 15 + 12 + 15 + 7 + 25 = 114 \)

Now, apply the coding rule (Sum + 4):

\( \text{Code for IRIDOLOGY} = 114 + 4 = 118 \)

Conclusion

Based on the coding system derived from the examples ORATORY and RAVENOUS, the word IRIDOLOGY is coded as 118.

Revision Table: Coding System Logic

Additional Information: Letter Coding Questions

Letter coding questions are common in reasoning and aptitude tests. They involve deciphering a hidden rule used to convert words or letters into codes (numbers, letters, or symbols). The rule often involves:

• Alphabetical position of letters (forward or reverse).
• Number of letters in the word.
• Number of vowels or consonants.
• Specific patterns of letter substitution.
• Mathematical operations on letter positions or counts.

To solve these problems, always look for patterns in the given examples. Calculate values based on common rules (like sum of positions) and compare them to the given codes to identify the transformation being applied.