RRB Nsg. Superintendent-20 July 2019 (Shift-3rd)
Non Nursing Subjects
Hard
2650 boys and 1100 girls are examined in a test; 42% of the boys and 36% of the girls pass the test. The percentage of the total who failed is
Appeared in: RRB Nsg. Superintendent-20 July 2019 (Shift-3rd)
Explanation
- The total number of students is 2650 boys + 1100 girls = 3750 students.
- The number of boys who failed is (100% - 42%) of 2650, which is 58% of 2650 = 1537.
- The number of girls who failed is (100% - 36%) of 1100, which is 64% of 1100 = 704.
- The total number of students who failed is 1537 + 704 = 2241.
- The overall failure percentage is calculated by dividing the total number of failed students by the total number of students and multiplying by 100.
- Calculation: (2241 / 3750) * 100 = 59.76%.
Why Other Options Were Wrong
- Option B: This value is incorrect and likely results from a miscalculation, such as incorrectly summing the number of failed students or using the wrong total student count.
- Option C: This value is incorrect. It might arise from an arithmetic error during multiplication or division steps.
- Option D: This value is also an incorrect calculation. It could be the result of averaging the two failure percentages (58% and 64%) without considering the different group sizes (weighting).
Related Visual
- Visual 1: Flowchart: A flowchart illustrating the step-by-step calculation process. It would start with the initial numbers of boys and girls, branch to calculate failures for each group, converge to find the total failures, and end with the final percentage calculation. This helps visualize the logic.
Clinical Relevance
- Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating weighted averages and percentages from different subgroups as background academic context rather than a clinical decision trigger.
- While not a clinical question, quantitative aptitude is a component of many nursing entrance and recruitment examinations in India.
- Strong numerical skills are essential for nurses for tasks like medication dosage calculation, interpreting lab results, and monitoring patient vitals, making this type of problem relevant for assessing a candidate's foundational abilities.
- What if the question asked for the overall pass percentage? You would sum the number of students who passed (1113 boys + 396 girls = 1509) and divide by the total (3750), which gives (1509 / 3750) * 100 = 40.24%.
How to Approach the Question
- First, identify all the given values: number of boys, number of girls, pass percentage for boys, and pass percentage for girls.
- Understand the question's goal: to find the percentage of the total who failed.
- Calculate the total number of students by adding the number of boys and girls.
- For each group (boys and girls), calculate the number of students who failed. You can do this by first finding the failure percentage (100% - pass percentage).
- Sum the number of failed boys and failed girls to get the total number of students who failed.
- Finally, divide the total number of failed students by the total number of students and multiply by 100 to get the required percentage.
Concept Tested & Keywords
- Concept Tested: Calculating weighted averages and percentages from different subgroups.
- Stem keywords: boys, girls, pass the test, failed, percentage
- Lead-in keywords: The percentage of the total who failed is
Question ID
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