Which one is the perfect square?

Appeared in: KGMU 2023

Explanation

A perfect square is a number that is the product of an integer multiplied by itself.
The number 81 is a perfect square because it is the result of multiplying 9 by 9 (9 x 9 = 81).
81 matches the defining clue or classification criterion in the stem.
Supporting mechanism: The option aligns with the governing rule, pattern, sequence, classification, or exam logic being tested.
Key differentiator: It fits the one fact that separates the correct response from the closest distractor.

Option A: 24 is not a perfect square because there is no integer that, when multiplied by itself, equals 24.
Option B: 46 is not a perfect square. The square root of 46 is an irrational number, not an integer.
Option D: 74 is not a perfect square. There is no integer whose square is 74.

Visual 1: Table: A chart listing the first 15 integers and their corresponding perfect squares to aid in memorization and quick identification.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Identifying perfect squares as background academic context rather than a clinical decision trigger.
While this is a math question, strong numeracy skills are fundamental for safe nursing practice.
Nurses use math daily for critical tasks like calculating medication dosages, determining IV fluid rates, and converting between measurement units (e.g., lbs to kg).
A simple mathematical error in a clinical setting can lead to significant patient harm, emphasizing the importance of accuracy and confidence in basic arithmetic.

How to Approach the Question

First, understand the definition of the key term 'perfect square'. It's a number you get by multiplying an integer by itself (e.g., 4x4=16, so 16 is a perfect square).
Review the given options: 24, 46, 81, 74.
Mentally (or on paper) test each option by trying to find its integer square root.
For 24: Think of squares near it. 4x4=16 and 5x5=25. 24 is not a perfect square.
For 46: 6x6=36 and 7x7=49. 46 is not a perfect square.
For 81: You might recognize this one immediately. 9x9=81. This is the perfect square.

Concept Tested & Keywords

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Practise the full KGMU 2023

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