Understanding the Coding Pattern

The main goal here is to figure out the specific coding rule used in the examples and then apply that rule to code the phrase 'Work Hard'. We are given two examples:

• 'Logical Reasoning Exam' is coded as 'G12 I7 D13'.
• 'Intention Really Matters' is coded as 'I14 F25 G19'.

We need to analyze these examples to find the pattern connecting the words to their codes.

Decoding the Examples

Let's break down the pattern by looking at each word and its corresponding code:

Example 1 Analysis: 'Logical Reasoning Exam' -> 'G12 I7 D13'

• Logical:
  • Number of letters: 7
  • First letter: L
  • Last letter: l
  • Alphabet position of 'l': 12
  • The code is 'G12'. Notice that 'G' is the 7^th letter of the alphabet (corresponding to the number of letters in 'Logical'), and '12' is the position of the last letter 'l'.
• Reasoning:
  • Number of letters: 9
  • First letter: R
  • Last letter: g
  • Alphabet position of 'g': 7
  • The code is 'I7'. Here, 'I' is the 9^th letter (matching the word length), and '7' is the position of the last letter 'g'.
• Exam:
  • Number of letters: 4
  • First letter: E
  • Last letter: m
  • Alphabet position of 'm': 13
  • The code is 'D13'. 'D' is the 4^th letter (matching the word length), and '13' is the position of the last letter 'm'.

The pattern observed is: For each word, the code consists of the N^th letter of the alphabet (where N is the total number of letters in the word) followed by the alphabet position of the word's last letter.

Example 2 Confirmation: 'Intention Really Matters' -> 'I14 F25 G19'

Let's verify this pattern with the second example:

• Intention: 9 letters. 9^th letter is 'I'. Last letter 'n' is 14^th. Code = I14. (Matches)
• Really: 6 letters. 6^th letter is 'F'. Last letter 'y' is 25^th. Code = F25. (Matches)
• Matters: 7 letters. 7^th letter is 'G'. Last letter 's' is 19^th. Code = G19. (Matches)

The pattern is consistent across both examples.

Applying the Pattern to 'Work Hard'

Now we apply the confirmed coding rule to the target phrase 'Work Hard':

• Work:
  • Number of letters = 4.
  • The 4^th letter of the alphabet is 'D'.
  • The last letter of the word 'Work' is 'k'.
  • The position of 'k' in the alphabet is 11.
  • So, the code for 'Work' is D11.
• Hard:
  • Number of letters = 4.
  • The 4^th letter of the alphabet is 'D'.
  • The last letter of the word 'Hard' is 'd'.
  • The position of 'd' in the alphabet is 4.
  • So, the code for 'Hard' is D4.

Final Coded Phrase

Combining the codes for 'Work' and 'Hard', the final code for the phrase 'Work Hard' is D11 D4.