Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operation on the second number results in the third number and so on. Which of the given options follows the same set of operations as in the question? (NOTE - A two/three digit number cannot be broken into individual digits for operations e.g. if 37 is followed by 10, the operation cannot be 3+7 as a two-digit number cannot be broken into individual digits.) 14 - 15 - 30 - 60; 11 - 12 - 24 - 48

1. A

   8 - 9 - 18 - 38

2. B

   1 - 2 - 4 - 8

3. C

   5 - 6 - 12 - 22

4. D

   6 - 7 - 14 - 24

Appeared in: NCL (Northern Coalfields Limited)-NO

Explanation

• The core task is to identify a consistent mathematical pattern in the two example sets and find which option follows the same rule.
• The pattern identified in both 14 - 15 - 30 - 60 and 11 - 12 - 24 - 48 is a sequence of three operations: add 1, multiply by 2, and then multiply by 2 again.
• The sequence can be represented as: x → x + 1 → (x + 1) × 2 → ((x + 1) × 2) × 2.
• The option 1 - 2 - 4 - 8 correctly follows this pattern: 1 → 1 + 1 = 2 → 2 × 2 = 4 → 4 × 2 = 8.

Why Other Options Were Wrong

• Option A: This option fails on the final operation. While 8+1=9 and 9x2=18 are correct, the last step should be 18x2=36, not 38.
• Option C: This option fails on the final operation. While 5+1=6 and 6x2=12 are correct, the last step should be 12x2=24, not 22.
• Option D: This option fails on the final operation. While 6+1=7 and 7x2=14 are correct, the last step should be 14x2=28, not 24.

Related Visual

• Visual 1: Flowchart: A flowchart illustrating the sequence of operations (+1, x2, x2) applied to a starting number 'x' to derive the subsequent numbers in the series. This visual would make the pattern easy to understand and apply.

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning - Number Series Analogy as background academic context rather than a clinical decision trigger.
• This question tests logical and analytical reasoning, a fundamental skill for nurses.
• Nurses use sequential thinking to follow protocols, administer medications in the correct order, and assess patient conditions systematically.
• Strong pattern recognition helps in identifying trends in vital signs or symptoms, which is crucial for early detection of patient deterioration.

How to Approach the Question

• First, carefully analyze the first given number set (14 - 15 - 30 - 60) to determine the mathematical operations connecting each number to the next.
• Next, verify if the same sequence of operations applies to the second given set (11 - 12 - 24 - 48). This confirms the rule.
• Once the rule (+1, ×2, ×2) is confirmed, systematically test this rule on each of the four options provided.
• Eliminate the options that do not follow the rule at any step.
• The option that correctly follows all steps of the established rule is the correct answer.

Concept Tested & Keywords

• Concept Tested: Logical Reasoning - Number Series Analogy
• Stem keywords: sets of numbers, mathematical operation, same set of operations
• Lead-in keywords: Which of the given options

Question ID

QpgJsdO5qmgZ7exvxTDEog

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