If 23412 is coded as 46824, then what will 30241 be coded as?

Appeared in: DSSSB - 28 August 2019 (Shift-1)

Explanation

The question requires identifying a consistent mathematical pattern between a number and its code.
By comparing the digits of 23412 and its code 46824, we find that each digit in the code is the result of multiplying the corresponding digit in the original number by 2.
For example, the first digit 2 becomes 4 (2 × 2), the second digit 3 becomes 6 (3 × 2), and so on.
Applying this rule to the number 30241, we multiply each of its digits by 2.
Calculation: (3×2), (0×2), (2×2), (4×2), (1×2) results in the sequence 6, 0, 4, 8, 2.
Therefore, the final coded number is 60482.

Option A: This option does not follow the identified pattern of multiplying each digit by 2. For example, the first digit 3 would need to become 6, not 4.
Option B: This option incorrectly applies a different and inconsistent logic. For instance, it seems to multiply the first digit by 3 (3x3=9) but fails to apply a consistent rule to the other digits.
Option C: This option does not follow the established pattern. The digits appear to be rearranged or transformed by an unrelated rule.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning: Coding and Decoding as background academic context rather than a clinical decision trigger.
Pattern recognition and logical deduction, tested in coding-decoding questions, are foundational skills for analyzing sequential data, such as patient vital sign trends or lab value changes over time.
Practicing these problems enhances attention to detail, a critical competency for nurses to ensure accuracy in tasks like medication dosage calculations and patient record-keeping.
What if the code for 23412 was 34523? The pattern would be adding 1 to each digit. In that case, 30241 would be coded as 41352.

How to Approach the Question

First, carefully analyze the relationship between the given number (23412) and its corresponding code (46824).
Compare the numbers position by position to check for a simple arithmetic operation (addition, subtraction, multiplication, division) applied to each digit.
Observe that the first digit 2 corresponds to 4, 3 to 6, 4 to 8, and so on. This suggests a multiplication pattern.
Confirm the rule: each digit in the original number is multiplied by 2 to get the digit in the code.
Apply this confirmed rule (multiply each digit by 2) to the new number provided, which is 30241.
Calculate the resulting code: (3×2)(0×2)(2×2)(4×2)(1×2) = 60482.

Concept Tested & Keywords

Q27ki_q62G4YwcSpup2lMX

Practise the full DSSSB - 28 August 2019 (Shift-1)

Attempt every question from this paper in a timed mock, then review the full solution for each one.