An examination consists of 90 questions: 20 from English, 30 from Mathematics, and 40 from General Knowledge. Sakshi attempted 60% of the English questions, 40% of the Mathematics questions, and 50% of the General Knowledge questions. All the attempted questions were correct. The passing marks are 60%, and each question carries one mark. Sakshi did not pass the exam. How many more questions should she have answered correctly to pass the examination?
Appeared in: Haryana CHO - 2022
Explanation
The first step is to calculate the total marks required to pass, which is 60% of the total 90 questions, equalling 54 marks.
Next, calculate the marks Sakshi obtained in each subject: 12 in English (60% of 20), 12 in Mathematics (40% of 30), and 20 in General Knowledge (50% of 40).
Summing these up, Sakshi's total score is 12 + 12 + 20 = 44 marks.
The final step is to find the difference between the passing marks and Sakshi's score: 54 - 44 = 10.
This means Sakshi needed 10 more correct answers to achieve the passing score.
Why Other Options Were Wrong
Option A: This is an incorrect calculation. It might result from miscalculating the marks obtained in one of the subjects, for example, calculating the math score as 10 instead of 12.
Option B: This is an incorrect calculation. It could arise from a simple arithmetic error, such as calculating the passing score as 53 instead of 54.
Option D: This value is significantly higher than the correct answer. It does not correspond to any logical step in the calculation and may be a random distractor.
Related Visual
Clinical Relevance
Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Percentage and Arithmetic Calculation as background academic context rather than a clinical decision trigger.
Numerical ability is a crucial skill tested in many nursing entrance examinations, as nurses frequently perform calculations for medication dosages, IV drip rates, and patient data analysis.
This type of question assesses foundational math skills, including the ability to work with percentages accurately and efficiently under time pressure.
What if the passing percentage was 50%? In that case, the passing score would be 45 (50% of 90). Since Sakshi scored 44, she would have needed only 1 more mark to pass.
How to Approach the Question
First, carefully read the problem and identify all the given numerical values: total questions, breakdown by subject, percentages attempted, and the passing percentage.
Calculate the total marks required to pass the exam. In this case, find 60% of the total 90 questions.
Next, calculate the number of questions Sakshi answered correctly in each individual subject by applying the given percentages to the total questions in that subject.
Sum the marks from all subjects to determine Sakshi's total score.
Finally, subtract Sakshi's total score from the passing score. The result is the number of additional marks (and thus questions) she needed to pass.
Concept Tested & Keywords
Concept Tested: Percentage and Arithmetic Calculation