Decoding the Logic: CANDLE to Number Code

This question involves a coding-decoding puzzle where a word is converted into a numerical code based on a specific rule. We are given that 'CANDLE' is coded as '52144113'. Our task is to decipher this coding rule and then apply it to the word 'QUIET' to find its code.

Finding the Coding Rule from CANDLE

Let's look at the letters in 'CANDLE' and their standard alphabetical positions:

• C is the 3rd letter.
• A is the 1st letter.
• N is the 14th letter.
• D is the 4th letter.
• L is the 12th letter.
• E is the 5th letter.

The given code for 'CANDLE' is '52144113'. This numerical sequence seems to be derived from the alphabetical positions of the letters.

Let's observe the code structure ('52144113') and the letter positions (3, 1, 14, 4, 12, 5). The code has 8 digits while the word has 6 letters. This suggests that some letters might be represented by single digits and others by double digits, possibly with some transformation.

Let's try examining the letters in reverse order and see if their positions or modified positions match segments of the code.

Letters of CANDLE in reverse order: E, L, D, N, A, C.

Alphabetical positions of these letters:

• E: 5
• L: 12
• D: 4
• N: 14
• A: 1
• C: 3

Now let's compare these positions with the code '52144113':

• The first digit of the code is 5, which matches the position of E (the last letter).
• The next two digits are 21. The position of L (the second to last letter) is 12. If we reverse the digits of 12, we get 21. This seems like a pattern!
• The next digit is 4. This matches the position of D (the third to last letter).
• The next two digits are 41. The position of N (the fourth to last letter) is 14. If we reverse the digits of 14, we get 41. This reinforces the pattern.
• The next digit is 1. This matches the position of A (the fifth to last letter).
• The last digit is 3. This matches the position of C (the first letter).

So, the coding rule is:

1. Take the letters of the word in reverse order.
2. Find the standard alphabetical position of each letter (A=1, B=2, ..., Z=26).
3. If the position is a single digit (1-9), write down that digit.
4. If the position is a double digit (10-26), reverse the digits of the position and write down the new two-digit number.
5. Concatenate the numbers obtained for each letter in the reverse order of the word.

Let's confirm this rule with 'CANDLE':

Word: CANDLE

Reverse order of letters: E, L, D, N, A, C

Applying the rule:

• E: Position 5. Single digit → 5
• L: Position 12. Double digit, reverse digits (12 → 21) → 21
• D: Position 4. Single digit → 4
• N: Position 14. Double digit, reverse digits (14 → 41) → 41
• A: Position 1. Single digit → 1
• C: Position 3. Single digit → 3

Concatenating these results in order: 52144113. This exactly matches the given code for CANDLE.

Applying the Rule to QUIET

Now let's apply the same coding rule to the word 'QUIET'.

Word: QUIET

Reverse order of letters: T, E, I, U, Q.

Find the alphabetical position of each letter:

• T: Position 20
• E: Position 5
• I: Position 9
• U: Position 21
• Q: Position 17

Apply the coding rule (single digits stay, double digits reverse):

• T: Position 20. Double digit → reverse digits (20 → 02) → 02
• E: Position 5. Single digit → 5 → 5
• I: Position 9. Single digit → 9 → 9
• U: Position 21. Double digit → reverse digits (21 → 12) → 12
• Q: Position 17. Double digit → reverse digits (17 → 71) → 71

Concatenate the results in the order T, E, I, U, Q:

02591271

Let's compare this result with the given options:

• Option 1: 02591271
• Option 2: 20591271
• Option 3: 20592117
• Option 4: 02592117

Our calculated code 02591271 matches Option 1.

Therefore, 'QUIET' is coded as '02591271' in that language.

Concatenated code for QUIET (in reverse letter order T, E, I, U, Q): 02591271.

Revision Table: Coding-Decoding Concepts

Additional Information: Types of Coding-Decoding Questions

Coding-decoding questions test your ability to identify patterns and rules hidden in the transformation of words, letters, or numbers. Common types include:

• Letter Coding: Letters are substituted with other letters based on patterns (e.g., shifting positions in the alphabet, skipping letters).
• Number Coding: Words are coded into numbers based on letter positions, values, or other mathematical operations. This question is an example of number coding based on alphabetical position.
• Symbol Coding: Letters or words are coded using symbols.
• Mixed Coding: A combination of letter, number, and symbol coding.
• Word Coding: Entire words are coded based on a rule that might be hidden in multiple word-code pairs.

Solving these problems often requires observing the positions of letters, identifying shifts, reversals, or other mathematical operations applied to these positions, and applying the discovered rule consistently.