Understanding the Coding Language Pattern

The question presents a coding language where words are converted into numerical codes. We are given two examples: 'TYR' is coded as '65', and 'GAP' is coded as '26'. We need to determine the coding logic to find the code for 'MOJ'.

Analyzing the Given Codes

Let's analyze the provided examples to find the pattern. A common method in such coding questions involves using the alphabetical positions of the letters.

Case 1: TYR coded as 65

• The letters in 'TYR' are T, Y, and R.
• Let's find their positions in the English alphabet (A=1, B=2, ..., Z=26):
• T is the 20th letter.
• Y is the 25th letter.
• R is the 18th letter.

Let's sum these positions:

\( 20 + 25 + 18 = 63 \)

The given code is 65. The sum of positions (63) is close to 65. The difference is \( 65 - 63 = 2 \). This suggests adding 2 to the sum of alphabetical positions might be part of the pattern.

Case 2: GAP coded as 26

• The letters in 'GAP' are G, A, and P.
• Let's find their positions in the English alphabet:
• G is the 7th letter.
• A is the 1st letter.
• P is the 16th letter.

Let's sum these positions:

\( 7 + 1 + 16 = 24 \)

The given code is 26. The sum of positions (24) is close to 26. The difference is \( 26 - 24 = 2 \). This matches the pattern observed with 'TYR'.

Identifying the Coding Logic

Based on the analysis of 'TYR' and 'GAP', the coding logic appears to be:

Code = (Sum of alphabetical positions of the letters) + 2

Applying the Logic to MOJ

Now let's apply this logic to find the code for 'MOJ'.

• The letters in 'MOJ' are M, O, and J.
• Let's find their positions in the English alphabet:
• M is the 13th letter.
• O is the 15th letter.
• J is the 10th letter.

Let's sum these positions:

\( 13 + 15 + 10 = 38 \)

Now, apply the complete logic by adding 2 to the sum:

\( 38 + 2 = 40 \)

Therefore, 'MOJ' should be coded as '40' in this language.

Conclusion

The code for 'MOJ' based on the identified pattern is 40.

This matches option 1.

Revision Table: Alphabetical Positions

Additional Information on Coding Patterns

Coding and decoding questions often involve different types of patterns based on the English alphabet. Some common patterns include:

• Alphabetical Position: Using the direct position of letters (A=1, Z=26) or reverse position (A=26, Z=1).
• Sum/Difference of Positions: Adding or subtracting the positions of letters within a word.
• Vowel/Consonant Count: Patterns based on the number of vowels or consonants.
• Specific Number Addition/Subtraction: Adding or subtracting a fixed number or a number based on the position of the letter in the word.
• Product/Division of Positions: Using multiplication or division of letter positions.
• Combination of Patterns: Using a mix of the above methods.

Identifying the correct pattern requires careful observation and testing different possibilities based on the given examples.