In a school, 4% of the students did not appear for the annual exams. 10% of the students who appeared for the exams could not pass the exam. Out of the remaining students, 50% got distinction marks and 432 students passed the exam but could not get distinction marks. The total number of students in the school is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 1000.
| Understanding/Application |
|
Let the total students be 100x. Students who appeared in exam = 100x - 4x = 96x Students who get passed in the exam = 90% of 96x = 96x × 90/100 = 86.4x Students who passed with distinction = 50% of 86.4x Students who passed without distinction = 432 50% of 86.4x = 432 86.4x × 50/100 = 432 86.4x = 864 x = 10 |
| Thus, the total students = 100x = 100(10) = 1000 |