The ratio of number of girls to boys in a school of 3240 students is 35 : 37. How many more girls should be admitted to make the ratio 1 : 1?

Appeared in: RRB Nsg. Superintendent-20 July 2019 (Shift-1)

Explanation

The initial ratio of girls to boys is 35:37 in a total of 3240 students.
The sum of the ratio parts is 35 + 37 = 72.
The value of one ratio part is 3240 / 72 = 45.
The current number of girls is 35 * 45 = 1575, and the number of boys is 37 * 45 = 1665.
To achieve a 1:1 ratio, the number of girls must equal the number of boys (1665).
The number of additional girls needed is the difference between the target number of girls and the current number: 1665 - 1575 = 90.

Option B: This is an incorrect calculation. It does not follow the logical steps of solving the ratio problem.
Option C: This is an incorrect calculation. It does not follow the logical steps of solving the ratio problem.
Option D: This is an incorrect calculation. It does not follow the logical steps of solving the ratio problem.

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 type of problem tests logical reasoning and mathematical aptitude, which are foundational skills required for various competitive examinations, including those for nursing positions.
While not a clinical question, the ability to perform accurate calculations is critical in nursing for tasks like medication dosage calculation, IV drip rate monitoring, and interpreting lab results.
What if the question asked to remove boys to make the ratio 1:1? In that case, you would calculate the number of boys to remove to match the number of girls: 1665 boys - 1575 girls = 90 boys to be removed.

How to Approach the Question

First, read the question carefully to identify the total number of students and the given ratio of girls to boys.
Calculate the sum of the ratio parts (e.g., 35 + 37 = 72).
Determine the value of one ratio part by dividing the total number of students by the sum of the ratio parts.
Use the value of one part to calculate the current number of girls and boys separately.
Identify the target condition, which is a 1:1 ratio, meaning the number of girls should equal the number of boys.
Calculate the difference between the target number of girls (which is the current number of boys) and the current number of girls to find the answer.

Concept Tested & Keywords

Concept Tested: Ratio and Proportion
Stem keywords: ratio, girls to boys, 3240 students, 35 : 37, admitted, ratio 1 : 1
Lead-in keywords: How many more

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Practise the full RRB Nsg. Superintendent-20 July 2019 (Shift-1)

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