Understanding the Coding-Decoding Puzzle

This question is a classic example of a coding-decoding puzzle where words are assigned numerical values based on a specific pattern or rule. We are given two examples, 'CHOICE' coded as '53' and 'CHARGE' coded as '52', and we need to find the code for 'CHANCE'.

Identifying the Pattern: Letter Values

Typically, in such coding problems, the numerical value is derived from the letters of the word. Let's assign each letter its alphabetical position value (A=1, B=2, ..., Z=26).

Calculating for Given Examples

Let's calculate the sum of the position values for the letters in 'CHOICE' and 'CHARGE'.

Calculating for 'CHOICE'

• C = 3
• H = 8
• O = 15
• I = 9
• C = 3
• E = 5

Sum of values for CHOICE = \(3 + 8 + 15 + 9 + 3 + 5 = 43\).

The given code for 'CHOICE' is '53'.

Difference = \(53 - 43 = 10\).

Calculating for 'CHARGE'

• C = 3
• H = 8
• A = 1
• R = 18
• G = 7
• E = 5

Sum of values for CHARGE = \(3 + 8 + 1 + 18 + 7 + 5 = 42\).

The given code for 'CHARGE' is '52'.

Difference = \(52 - 42 = 10\).

Determining the Coding Rule

From the calculations above, we observe a consistent pattern:

Code = (Sum of letter position values) + 10

Let's verify:

• For CHOICE: \(43 + 10 = 53\) (Matches the given code)
• For CHARGE: \(42 + 10 = 52\) (Matches the given code)

The rule seems to be adding 10 to the sum of the alphabetical position values of the letters in the word.

Applying the Rule to 'CHANCE'

Now, let's apply this rule to find the code for 'CHANCE'. First, calculate the sum of the position values for its letters.

• C = 3
• H = 8
• A = 1
• N = 14
• C = 3
• E = 5

Sum of values for CHANCE = \(3 + 8 + 1 + 14 + 3 + 5 = 34\).

Now, apply the rule (Sum + 10):

Code for CHANCE = \(34 + 10 = 44\).

Conclusion

Based on the coding logic derived from the examples 'CHOICE' and 'CHARGE', the word 'CHANCE' will be written as '44' in that language.

The final answer is 44.

Revision Table: Key Concepts in Coding-Decoding

Additional Information: Types of Coding-Decoding

Coding-decoding questions are common in aptitude tests and reasoning sections. Understanding different types helps solve them faster.

• Letter Coding: Letters are coded using other letters based on shifting positions, jumbled order, or other rules.
• Number Coding: Words are coded using numbers, often based on letter position values, sum of values, number of letters, or a combination with mathematical operations. This question is an example of number coding based on sum of values.
• Symbol Coding: Words or letters are coded using symbols.
• Mixed Coding: A mix of words, numbers, and symbols is used, often in sentence format, requiring you to decipher the code for individual words.

Practicing these different types helps in quickly identifying the underlying pattern in a coding-decoding problem.