The problem asks us to find the numerical code for the word 'QJTD' based on the given examples: 'OENI' is coded as '79' and 'WASR' is coded as '61'. We need to determine the underlying coding logic.

Determining the Coding Logic

Let's analyze the given examples by assigning numerical values to the letters based on their reverse alphabetical positions (Z=1, Y=2, ..., A=26). We will sum these reverse positions and check if adding a constant value yields the given code.

The reverse position of a letter can be calculated as $26 - (\text{alphabetical position}) + 1$.

Example 1: OENI = 79

• O: Alphabetical position 15. Reverse position = $26 - 15 + 1 = 12$.
• E: Alphabetical position 5. Reverse position = $26 - 5 + 1 = 22$.
• N: Alphabetical position 14. Reverse position = $26 - 14 + 1 = 13$.
• I: Alphabetical position 9. Reverse position = $26 - 9 + 1 = 18$.
• Sum of reverse positions = $12 + 22 + 13 + 18 = 65$.
• To get the code 79, we add 14: $65 + 14 = 79$.

The pattern seems to be: Code = (Sum of reverse alphabet positions) + 14.

Example 2: WASR = 61

• W: Alphabetical position 23. Reverse position = $26 - 23 + 1 = 4$.
• A: Alphabetical position 1. Reverse position = $26 - 1 + 1 = 26$.
• S: Alphabetical position 19. Reverse position = $26 - 19 + 1 = 8$.
• R: Alphabetical position 18. Reverse position = $26 - 18 + 1 = 9$.
• Sum of reverse positions = $4 + 26 + 8 + 9 = 47$.
• Applying the pattern: $47 + 14 = 61$.

The pattern holds true for the second example.

Calculating the Code for QJTD

Now, we apply the confirmed pattern to the word 'QJTD':

• Q: Alphabetical position 17. Reverse position = $26 - 17 + 1 = 10$.
• J: Alphabetical position 10. Reverse position = $26 - 10 + 1 = 17$.
• T: Alphabetical position 20. Reverse position = $26 - 20 + 1 = 7$.
• D: Alphabetical position 4. Reverse position = $26 - 4 + 1 = 23$.
• Sum of reverse positions = $10 + 17 + 7 + 23 = 57$.
• Applying the pattern: Code = $57 + 14 = 71$.

Therefore, the code for 'QJTD' is 71.