Two sets of numbers are given below. In each set of numbers, on performing certain mathematical operation(s) on the first number, the second number is obtained. Similarly, on performing certain mathematical operation(s) on the second number, the third number is obtained, and so on. Which of the given options follows the same set of operations as the given sets?

(Note: Operations should be performed on whole numbers without breaking the numbers into their constituent digits.)

102-88-115-124
133-119-146-155

Appeared in: DSSSB 12 August 2024

Explanation

The pattern identified from the two given sets is a sequence of three operations: subtract 14, add 27, and then add 9.
The series 117-103-130-139 correctly follows this pattern.
First step: 117 - 14 = 103.
Second step: 103 + 27 = 130.
Third step: 130 + 9 = 139.
Since all operations yield the subsequent numbers in the series, this is the correct answer.

Option A: This option fails at the first step. When 14 is subtracted from 159, the result is 145, not 165.
Option B: This option is correct for the first step (129 - 14 = 115) but fails at the second. When 27 is added to 115, the result is 142, not 132.
Option D: This option is correct for the first step (146 - 14 = 132) but fails at the second. When 27 is added to 132, the result is 159, not 149.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Number Series and Pattern Recognition as background academic context rather than a clinical decision trigger.
While this is a general aptitude question, the underlying skill of pattern recognition is crucial in nursing.
Nurses must recognize patterns in vital signs, lab results, and patient symptoms to identify trends, predict outcomes, and detect early signs of clinical deterioration.
For example, a steady increase in heart rate combined with a decrease in blood pressure can indicate developing shock.

How to Approach the Question

First, analyze the first given number set (102-88-115-124) to determine the mathematical operations connecting the consecutive numbers.
Calculate the difference between each pair of numbers: (102-88 = 14), (115-88 = 27), (124-115 = 9). This reveals a pattern of -14, +27, +9.
Verify this pattern with the second given set (133-119-146-155) to ensure it is consistent.
Systematically apply the confirmed pattern (-14, +27, +9) to the first number of each of the four options.
Check if the results of the operations match the subsequent numbers in the option's series.
The option that perfectly matches all three steps of the pattern is the correct answer.

Concept Tested & Keywords

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Practise the full DSSSB 12 August 2024

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