In a certain code language, 24685 is written as 33776, how will 35791 be written ?

Question

Accepted Answer

To determine how the number 35791 is written in the given code language, we need to understand the pattern or rule applied to convert 24685 into 33776. Let's analyze the transformation step-by-step:

1. **Analyzing the Transformation:**
   - Original number: 24685
   - Coded number: 33776

By examining the transformation, we can observe the following pattern:
   - The first digit (2) is increased by 1 to become 3.
   - The second digit (4) is decreased by 1 to become 3.
   - The third digit (6) is increased by 1 to become 7.
   - The fourth digit (8) is decreased by 1 to become 7.
   - The fifth digit (5) is increased by 1 to become 6.

The pattern alternates between increasing a digit by 1 and decreasing a digit by 1.

2. **Applying the Pattern to 35791:**
   - First digit (3): Increase by 1 → 4
   - Second digit (5): Decrease by 1 → 4
   - Third digit (7): Increase by 1 → 8
   - Fourth digit (9): Decrease by 1 → 8
   - Fifth digit (1): Increase by 1 → 2

Therefore, the coded number for 35791 is 44882.

3. **Explanation of Why Option 2 is Correct:**
   - Option 2 (44882) follows the exact pattern derived from the transformation of 24685 to 33776. Each digit of 35791 is altered according to the alternating increase and decrease rule, resulting in 44882.

4. **Explanation of Why Other Options are Incorrect:**
   - **Option 1 (44826):** The last digit should be 2, but the fourth digit should be 8, not 2. This option does not follow the pattern correctly.
   - **Option 3 (44682):** The second digit should be 4, but the fourth digit should be 8, not 6. This option does not adhere to the pattern.
   - **Option 4 (44680):** The second digit should be 4, but the fourth digit should be 8, not 0. This option fails to apply the pattern accurately.

By following the established pattern, Option 2 (44882) is the only choice that correctly represents the transformation of 35791 in the given code language.