Understanding the Coding Logic

This type of problem involves identifying a pattern or rule used to convert a word into a numerical code. We are given three examples: 'FLOWER' is coded as '85', 'STARS' as '82', and 'MOON' as '61'. We need to figure out this rule and apply it to the word 'PACK'.

Analyzing the Given Examples

Let's examine the relationship between the words and their codes. A common approach is to use the alphabetical position of each letter (A=1, B=2, ..., Z=26).

Example 1: FLOWER

• F is the 6th letter.
• L is the 12th letter.
• O is the 15th letter.
• W is the 23rd letter.
• E is the 5th letter.
• R is the 18th letter.

Sum of alphabetical positions: $6 + 12 + 15 + 23 + 5 + 18 = 79$.

The code is 85. The difference between the code and the sum of positions is $85 - 79 = 6$. The word 'FLOWER' has 6 letters.

This suggests a potential logic: Sum of alphabetical positions + Number of letters.

Example 2: STARS

• S is the 19th letter.
• T is the 20th letter.
• A is the 1st letter.
• R is the 18th letter.
• S is the 19th letter.

Sum of alphabetical positions: $19 + 20 + 1 + 18 + 19 = 77$.

The code is 82. The difference between the code and the sum of positions is $82 - 77 = 5$. The word 'STARS' has 5 letters.

This matches the potential logic: $77 + 5 = 82$.

Example 3: MOON

• M is the 13th letter.
• O is the 15th letter.
• O is the 15th letter.
• N is the 14th letter.

Sum of alphabetical positions: $13 + 15 + 15 + 14 = 57$.

The code is 61. The difference between the code and the sum of positions is $61 - 57 = 4$. The word 'MOON' has 4 letters.

This also matches the potential logic: $57 + 4 = 61$.

The established logic is indeed: Code = (Sum of alphabetical positions of letters) + (Number of letters in the word).

Coding the Word 'PACK'

Now, let's apply this logic to the word 'PACK'.

• P is the 16th letter.
• A is the 1st letter.
• C is the 3rd letter.
• K is the 11th letter.

Sum of alphabetical positions for PACK: $16 + 1 + 3 + 11 = 31$.

Number of letters in PACK is 4.

Applying the logic:

Code for PACK = Sum of positions + Number of letters

Code for PACK = $31 + 4 = 35$.

Therefore, 'PACK' will be coded as '35'.

Revision Table: Coding Pattern

Let's summarize the pattern found:

Additional Information: Word Coding Techniques

Word coding problems in reasoning tests can use various methods. Some common techniques include:

• Alphabetical Position Sum: Simple sum of the positions (like A=1, Z=26).
• Reverse Alphabetical Position Sum: Using positions from Z=1 to A=26.
• Sum with Modifiers: Adding or subtracting a constant number, or adding the number of letters, as seen in this problem.
• Consonants/Vowels: Separate coding rules for consonants and vowels.
• Pattern within Positions: Using only alternate letters' positions, or squaring/cubing positions.
• Letter Shifting: Shifting letters by a certain number of places (like Caesar cipher).
• Vowel Count/Consonant Count: The code might be based on the number of vowels or consonants.

Solving these problems requires careful observation and testing different possible rules based on the given examples.