54:18 ::62:?

Appeared in: NORCET 6 Prelims -2024

Explanation

The logic involves summing the digits of the first number in a pair and then multiplying that sum by 2 to get the second number.
For the first pair, 54:18, the calculation is (5 + 4) × 2 = 9 × 2 = 18.
Applying this same rule to the second pair, 62:?, the calculation is (6 + 2) × 2 = 8 × 2 = 16.

Option B: 24 is incorrect. This result would be obtained if the sum of the digits (8) were multiplied by 3, which does not follow the pattern established by the first pair (where the multiplier is 2).
Option C: 20 is incorrect. This number does not follow the established pattern of summing the digits and multiplying by 2. It might be chosen due to a calculation error.
Option D: 15 is incorrect. This does not follow the established pattern. It is one less than the correct answer and might be selected by mistake.

Visual 1: Flowchart - A flowchart demonstrating the two-step process for both pairs. Step 1: Sum the digits of the input number. Step 2: Multiply the sum by 2. The chart would show 54 → (5+4)=9 → 9×2=18, and 62 → (6+2)=8 → 8×2=16.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Number Analogy and Logical Reasoning as background academic context rather than a clinical decision trigger.
This type of question, while not clinical, is frequently included in nursing entrance and competitive exams to evaluate a candidate's logical reasoning and pattern-recognition abilities.
Strong analytical skills are essential in nursing for tasks like interpreting patient data, identifying trends in vital signs, calculating drug dosages, and making sound clinical judgments under pressure.
What if the first pair was 54:45? The logic would change. The pattern could be reversing the digits. Applying this to 62 would give 26. This shows the importance of correctly identifying the initial pattern before applying it.

How to Approach the Question

First, carefully examine the relationship between the first pair of numbers (A:B). Look for simple arithmetic operations like addition, subtraction, multiplication, division, or operations on the digits themselves.
For 54:18, test different operations. Summing the digits (5+4=9) and then seeing its relationship to 18 (9×2=18) reveals a clear pattern.
Next, hypothesize that this same two-step rule applies to the second pair (C:D).
Apply the rule to the number 62: Sum its digits (6+2=8) and then multiply by 2 (8×2=16).
Finally, check if your calculated result (16) is available in the options. Since 16 is the first option, you can be confident in your answer.

Concept Tested & Keywords

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Practise the full NORCET 6 Prelims -2024

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