If 96431 is coded as 42110 then what will 65327 be coded as?

Appeared in: DSSSB - 29 August 2019 (Shift-1)

Explanation

The coding logic involves a digit-by-digit subtraction.
A descending sequence of numbers, starting from 5 (i.e., 5, 4, 3, 2, 1), is subtracted from each consecutive digit of the original number.
Applying this pattern to 96431 gives 42110 (9-5=4, 6-4=2, 4-3=1, 3-2=1, 1-1=0).
Applying the same pattern to 65327 gives 11006 (6-5=1, 5-4=1, 3-3=0, 2-2=0, 7-1=6).

Option A: This option is the result of an incorrect or inconsistent mathematical operation and does not follow the established pattern.
Option B: This option does not follow the logical pattern of subtracting a descending sequence from the digits.
Option D: This option is derived from an incorrect calculation and fails to match the logic identified from the example pair.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning: Coding-Decoding by Subtraction as background academic context rather than a clinical decision trigger.
This is a general intelligence question designed to test logical and analytical reasoning skills.
While not directly clinical, these problem-solving skills are crucial for nurses in making quick, logical decisions, interpreting data, and identifying patterns in patient symptoms or vital signs.
What if the subtraction sequence was ascending (1, 2, 3, 4, 5)? Then the code for 65327 would be 530(-2)2, which is not a valid number in this context, highlighting the importance of correctly identifying the pattern.

How to Approach the Question

First, analyze the relationship between the given number (96431) and its code (42110).
Compare the digits in the same positions to find a mathematical pattern. For example, compare the first digit '9' with '4', the second digit '6' with '2', and so on.
Calculate the difference for each pair of digits: 9-4=5, 6-2=4, 4-1=3, 3-1=2, 1-0=1.
Identify the consistent pattern: a descending sequence (5, 4, 3, 2, 1) is being subtracted from each digit.
Apply this confirmed pattern to the new number (65327) to find its code.
Calculate: 6-5=1, 5-4=1, 3-3=0, 2-2=0, 7-1=6. The result is 11006.

Concept Tested & Keywords

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Practise the full DSSSB - 29 August 2019 (Shift-1)

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