2050 boys and 950 girls are examined in a test; 42% of the boys and 36% of the girls pass the test. The perce… - RRB Nsg. Superintendent-21 July 2019 (Shift-2nd)

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

Non Nursing Subjects

Hard

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

Explanation

the calculated total failure percentage across both boys and girls.
First, determine the failure percentages for each group: Boys failed is 100% - 42% = 58%; Girls failed is 100% - 36% = 64%.
Next, calculate the number of failed students in each group: 0.58 * 2050 = 1189 boys; 0.64 * 950 = 608 girls.
Sum the total number of failed students (1189 + 608 = 1797) and the total number of all students (2050 + 950 = 3000).
Finally, calculate the overall percentage of failure: (1797 / 3000) * 100 = 59.9%.

Option A: This value is incorrect and likely results from a calculation error, such as miscalculating the number of failed students or the total number of students.
Option B: This value is incorrect. It may arise from errors in arithmetic during the calculation of percentages or totals.
Option C: This value is incorrect. It is not supported by the correct calculation method for determining the overall failure rate.

Visual 1: Table - A summary table showing the number of boys and girls, the number who passed and failed, and the corresponding percentages. This helps organize the data clearly.
Visual 2: Pie Chart - A pie chart illustrating the proportion of the total students who passed versus failed, with the 59.9% failure segment clearly labeled.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain This question tests the ability to work with percentages, specifically calculating weighted averages and proportions from different subgroups as background academic context rather than a clinical decision trigger.
While this is a general aptitude question, the underlying skill of calculating percentages from different subgroups is relevant in healthcare.
For example, a nurse manager might need to calculate staff compliance rates for a new protocol across different shifts (day vs. night), where each shift has a different number of staff members.
Similarly, an epidemiologist calculates prevalence or incidence rates in a population by combining data from different demographic subgroups (e.g., age, gender), each with its own size and risk profile.

How to Approach the Question

First, identify all the given data: number of boys (2050), number of girls (950), pass percentage for boys (42%), and pass percentage for girls (36%).
Understand the question: It asks for the total percentage of students who failed.
Formulate a plan: 1. Calculate the number of students who failed in each group (boys and girls). 2. Sum these numbers to get the total number of failed students. 3. Calculate the total number of students. 4. Divide the total number of failed students by the total number of all students and multiply by 100.
Execute the plan: Calculate failure percentages first (100% - pass %). Then find the absolute numbers for failures. Sum them up. Divide by the total number of students.
Avoid common mistakes: Do not simply average the failure percentages (58% and 64%). This is incorrect because the number of boys and girls is different. You must use a weighted average, which is what the step-by-step calculation accomplishes.

Concept Tested & Keywords

Concept Tested: This question tests the ability to work with percentages, specifically calculating weighted averages and proportions from different subgroups.
Stem keywords: boys, girls, examined, test, pass the test, percentage, failed
Lead-in keywords: The percentage of the total who failed is
Negative lead-in flag: false

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