Study the given table and answer the following question.
The table shows the results of half-yearly and annual examinations of three sections A, B, and C of class X students in a school.
| Results | Number of students | ||
| Section A | Section B | Section C | |
| Students failed in both exams | 39 | 20 | 12 |
| Students failed in half-yearly but passed in annual exams | 16 | 14 | 6 |
| Students passed in half-yearly but failed in annual exams | 10 | 12 | 8 |
| Students passed both exams | 65 | 45 | 35 |
Find the pass percentage of section A in at least one of the two examinations.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 70%.
A student passed at least one exam if they Passed both exams, Passed in half-yearly but failed in the annual, Failed in half-yearly but passed in the annual.
Thus,
From the given table
Students passed in both exams = 65
Students passed in half-yearly but failed in annual = 10
Students failed in half-yearly but passed in annual = 16
Total students passed in at least one exam = 65 + 10 + 16 = 91
Total students in Section A = 39 + 16 + 10 + 65 = 130
Pass% = 91/130 × 100 = 70%