A school has four sections A, B, C, D of Class IX students.
In the context of comparing the difficulty level of the two examinations based on the number of students passing, which of the following statements is true?
- AAnnual exams were more difficult.
- BThe two exams cannot be compared for difficulty level.
- CHalf-yearly exams were more difficult.
- DBoth the exams had almost the same difficulty level.
Solution & Step-by-step Explanation
Let's compute the total number of students who passed each exam across all sections:
1. Total students who passed the Half-Yearly exams:
This includes students who passed in both exams + students who passed in half-yearly but failed in annual exams.
2. Total students who passed the Annual exams:
This includes students who passed in both exams + students who failed in half-yearly but passed in annual exams.
Since the total number of students passing the Half-Yearly exams () is exactly equal to the number of students passing the Annual exams (), both exams had the exact same difficulty level based on passing performance.
1. Total students who passed the Half-Yearly exams:
This includes students who passed in both exams + students who passed in half-yearly but failed in annual exams.
2. Total students who passed the Annual exams:
This includes students who passed in both exams + students who failed in half-yearly but passed in annual exams.
Since the total number of students passing the Half-Yearly exams () is exactly equal to the number of students passing the Annual exams (), both exams had the exact same difficulty level based on passing performance.