Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed) (10, 80, 8) (6, 96, 16)

1. A

   (13, 117, 8)

2. B

   (15, 117, 8)

3. C

   (11, 88, 7)

4. D

   (9, 108, 12)

Appeared in: DSSSB 14 August 2024

Explanation

• The core logic is a multiplicative relationship between the numbers in each set.
• The pattern is: First Number × Third Number = Second Number.
• In the given examples: 10 × 8 = 80 and 6 × 16 = 96.
• The correct option (9, 108, 12) perfectly fits this pattern because 9 × 12 = 108.

Why Other Options Were Wrong

• Option A: The product of the first and third numbers (13 × 8) is 104, not 117.
• Option B: The product of the first and third numbers (15 × 8) is 120, not 117.
• Option C: The product of the first and third numbers (11 × 7) is 77, not 88.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Numerical Analogy and Set-based Reasoning as background academic context rather than a clinical decision trigger.
• This question tests logical and analytical reasoning, a fundamental skill for nurses.
• Nurses use similar logical deduction for tasks like calculating drug dosages, interpreting lab results, and identifying patterns in a patient's vital signs.
• What if the pattern was (A + C) × constant = B? You would need to first find the constant using the example sets and then apply it to the options. This demonstrates the importance of being flexible in identifying different possible patterns.

How to Approach the Question

• First, analyze the relationship between the numbers in the given example sets: (10, 80, 8) and (6, 96, 16).
• Test basic arithmetic operations: addition, subtraction, multiplication, division. Notice that 10 × 8 = 80 and 6 × 16 = 96.
• Formulate the rule based on this observation: The product of the first and third numbers equals the second number.
• Systematically apply this rule to each of the four options.
• Calculate the product of the first and third numbers for each option and check if it matches the second number.
• The option that satisfies the rule is the correct answer.

Concept Tested & Keywords

• Concept Tested: Numerical Analogy and Set-based Reasoning
• Stem keywords: numbers, related, sets, pattern
• Lead-in keywords: Select the set

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