The ratio of number of girls to boys in a school of 3780 students is 41:43.& x20; How many more girls should be admitted to make the ratio 1:1?

RRB Nsg. Superintendent-21 July 2019 (Shift-2nd)

Non Nursing Subjects

Hard

The ratio of number of girls to boys in a school of 3780 students is 41:43.
How many more girls should be admitted to make the ratio 1:1?

Appeared in: RRB Nsg. Superintendent-21 July 2019 (Shift-2nd)

The total number of students is 3780, and the ratio of girls to boys is 41:43. The sum of the ratio parts is 41 + 43 = 84.
The value of one ratio part is calculated by dividing the total number of students by the total ratio parts: 3780 / 84 = 45.
The current number of girls is 41 × 45 = 1845, and the number of boys is 43 × 45 = 1935.
To make the ratio 1:1, the number of girls must equal the number of boys. The difference is 1935 - 1845 = 90.
Therefore, 90 more girls need to be admitted to make the numbers equal.

Option B: This is an incorrect calculation. It does not correspond to the difference required to balance the ratio.
Option C: This is an incorrect calculation. It does not correspond to the difference required to balance the ratio.
Option D: This is an incorrect calculation. It does not correspond to the difference required to balance the ratio.

Visual 1: Infographic: A visual breakdown of the ratio problem, showing the total students, the division into 84 parts, the value of each part, and the final calculation to find the number of girls to be added.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Ratio and Proportion as background academic context rather than a clinical decision trigger.
This question tests mathematical aptitude and problem-solving skills, which are essential non-clinical competencies evaluated in nursing entrance examinations.
While not a direct clinical skill, the ability to perform accurate calculations is crucial in nursing for tasks like medication dosage calculation, IV drip rate monitoring, and interpreting lab values.
What if the question asked how many boys should leave to make the ratio 1:1? In that case, you would subtract boys until their number equals the number of girls: 1935 (boys) - 1845 (girls) = 90 boys would need to leave.

How to Approach the Question

First, read the question carefully to identify the given information: total students (3780) and the initial ratio of girls to boys (41:43).
Understand the goal: to find the number of additional girls needed to make the ratio 1:1.
Calculate the sum of the ratio parts (41 + 43 = 84). This represents the whole in terms of the ratio.
Determine the value of a single ratio part by dividing the total number of students by the sum of the parts (3780 / 84 = 45).
Calculate the current number of boys and girls using the value of one part (Girls: 4145=1845; Boys: 4345=1935).
Find the difference between the number of boys and girls (1935 - 1845 = 90). This difference is the number of girls that need to be added to achieve a 1:1 ratio.

Concept Tested & Keywords

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Practise the full RRB Nsg. Superintendent-21 July 2019 (Shift-2nd)

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