25 : 5 :: 36 : ?

Appeared in: MNS 2015

Explanation

The core concept tested is number analogy, which requires identifying the mathematical relationship between the first pair of numbers and applying it to the second pair.
In the pair '25 : 5', the relationship is that the second number is the square root of the first number (√25 = 5).
To solve for the missing number in '36 : ?', the same logic must be applied.
The square root of 36 is 6 (√36 = 6), making it the correct answer.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Number Analogy as background academic context rather than a clinical decision trigger.
This is a general intelligence and reasoning question, not directly related to clinical nursing practice.
However, strong logical reasoning and problem-solving skills are essential for nurses in clinical decision-making, interpreting data, and responding to changes in a patient's condition.
What if the analogy was '25 : 125'? The relationship would likely be cubing (5³ = 125) or a different mathematical function, requiring the nurse to adapt their reasoning process.

How to Approach the Question

First, analyze the relationship between the first pair of numbers (25 and 5).
Consider common mathematical operations like addition, subtraction, multiplication, division, squares, and square roots.
Observe that 5 is the square root of 25 (5 x 5 = 25). This establishes the rule: 'y' is the square root of 'x' in the format 'x : y'.
Apply this identified rule to the second pair of numbers (36 : ?).
Calculate the square root of 36, which is 6.
Compare your result with the given options and select the one that matches.

Concept Tested & Keywords

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Practise the full MNS 2015

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