This question involves understanding a specific coding pattern where numbers are transformed based on a consistent rule. We are given an example: the number 6723 is coded as 8901. Our task is to apply this same rule to code the number 2435.

Coding Pattern Analysis

To solve this coding question, we first need to analyze the relationship between the original number (6723) and its coded form (8901). We will examine each digit individually to identify the rule or pattern.

Decoding Sample Code

Let's look at how each digit in 6723 changes to form 8901:

From this analysis, we can deduce a clear pattern for the transformation: the first two digits are increased by 2, and the last two digits are decreased by 2. This sequence of operations is +2, +2, -2, -2 for the respective digits.

Coding 2435

Now that we have identified the coding rule, we will apply it to the number 2435. We will apply the +2, +2, -2, -2 pattern to its digits:

• For the first digit (2): Add 2. So, \(2 + 2 = 4\).
• For the second digit (4): Add 2. So, \(4 + 2 = 6\).
• For the third digit (3): Subtract 2. So, \(3 - 2 = 1\).
• For the fourth digit (5): Subtract 2. So, \(5 - 2 = 3\).

Final Coded Value

By applying the established pattern, the digits 2, 4, 3, and 5 transform into 4, 6, 1, and 3, respectively. Combining these digits, the coded form of 2435 is 4613.

Comparing this result with the given options, we find that 4613 matches one of the choices.