A school has four sections A, B, C, D of class X students. The results of half yearly and annual examinations are shown in the table given below:
| Result | Number of students | |||
| Section A | Section B | Section C | Section D | |
| Students failed in both exams | 25 | 22 | 18 | 20 |
| Students failed in half yearly but passed in Annual exam | 20 | 25 | 24 | 12 |
| Students passed in half yearly but failed in Annual exam | 12 | 15 | 8 | 10 |
| Students passed in both exams | 15 | 20 | 22 | 18 |
How many students are there in class X in the school?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 286.
⇒ No of Students who failed in both exams = 25 + 22 + 18 + 20 = 85
⇒ No of Students who failed in half yearly but passed in Annual exam = 20 + 25 + 24 + 12 = 81
⇒ No of Students who passed in half yearly but failed in Annual exam = 12 + 15 + 8 + 10 = 45
⇒ No of Students who passed in both exams = 15 + 20 + 22 + 18 = 75
⇒ Total no of students are there in class X in the school = 85 + 81 + 45 + 75 = 286