Select the set in which the numbers are related in the same way as are the numbers of the following sets. (17, 26, 38), (19, 6, 20)

Appeared in: DSSSB 6 September 2024

Explanation

The problem requires identifying a consistent mathematical pattern in the given number sets and finding an option that follows the same pattern.
The established pattern is: (First Number + Second Number) - 5 = Third Number.
For the set (24, 15, 34), this pattern holds true: (24 + 15) - 5 = 39 - 5 = 34.

Option A: This option does not follow the pattern. The sum of the first two numbers minus 5 is (25 + 12) - 5 = 32, not 42.
Option C: This option does not follow the pattern. The sum of the first two numbers minus 5 is (20 + 22) - 5 = 37, not 74.
Option D: This option does not follow the pattern. The sum of the first two numbers minus 5 is (16 + 22) - 5 = 33, not 35.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning - Number Set Analogy as background academic context rather than a clinical decision trigger.
While not a clinical question, this type of logical reasoning problem is common in the General Intelligence or Aptitude sections of nursing entrance exams.
These questions assess critical thinking and problem-solving skills, which are essential for nurses to make quick and accurate decisions in clinical settings.
What if the pattern was (First Number - Second Number) * 2? Then for (17, 26, 38), the result would be (17-26)*2 = -18, which doesn't match. It's crucial to test different simple arithmetic operations to find the correct one.

How to Approach the Question

First, analyze the relationship between the numbers within the first given set (17, 26, 38). Test basic arithmetic operations (addition, subtraction, multiplication, division).
Observe that 17 + 26 = 43. The third number is 38. The difference is 43 - 38 = 5.
Formulate a potential rule: (First Number + Second Number) - 5 = Third Number.
Verify this rule with the second set (19, 6, 20): 19 + 6 = 25. Then, 25 - 5 = 20. The rule is consistent.
Now, apply the confirmed rule to each of the answer choices.
Test the options one by one until you find the one that satisfies the rule: (24 + 15) - 5 = 39 - 5 = 34. This matches the third number in the option.

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.