Select the set in which the numbers are related in the same way as are the numbers of the following sets. (35, 72, 77), (96, 83, 88)

Appeared in: DSSSB 6 September 2024

Explanation

The relationship in the valid example set (96, 83, 88) is defined by two arithmetic operations.
First, subtract 13 from the first number to get the second number (96 - 13 = 83).
Second, add 5 to the second number to get the third number (83 + 5 = 88).
The set (109, 96, 101) is the only option that follows this exact pattern: 109 - 13 = 96, and 96 + 5 = 101.

Option A: The set (70, 57, 42) correctly follows the first step of the pattern (70 - 13 = 57), but fails on the second step. The third number should be 62 (57 + 5), not 42.
Option B: The set (134, 131, 136) fails on the very first step of the pattern. Subtracting 13 from 134 results in 121, not 131.
Option C: The set (121, 108, 109) correctly follows the first step of the pattern (121 - 13 = 108), but fails on the second step. The third number should be 113 (108 + 5), not 109.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning - Number Analogy as background academic context rather than a clinical decision trigger.
This type of logical reasoning question assesses critical thinking and pattern recognition, skills that are essential for nurses in clinical problem-solving and decision-making.
While not a clinical question, the ability to quickly identify relationships and inconsistencies in data is parallel to analyzing patient symptoms or lab results to identify a correct diagnosis or intervention.
What if the pattern involved multiplication and division? The same systematic approach of defining the rule from the given examples and testing it against the options would apply, mirroring how a nurse adapts protocols to different patient scenarios.

How to Approach the Question

First, analyze the relationship between the numbers within each given set. Look for simple arithmetic operations like addition, subtraction, multiplication, or division.
In this case, there are two sets: (35, 72, 77) and (96, 83, 88). Check for a consistent pattern across both.
The pattern for (96, 83, 88) is: 96 - 13 = 83, and 83 + 5 = 88. The pattern for (35, 72, 77) is inconsistent for the first step but consistent for the second (72 + 5 = 77). Prioritize the fully consistent pattern.
The established rule is: (First Number - 13) = Second Number, and (Second Number + 5) = Third Number.
Apply this two-part rule to each of the four options in a systematic way.
Select the option that correctly follows both parts of the rule without any deviation.

Concept Tested & Keywords

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Practise the full DSSSB 6 September 2024

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