A school has four sections A, B, C, D of Class IX students.

Result	Section A	Section B	Section C	Section D
Students failed in both exams	28	23	17	27
Students failed in half-yearly but passed in annual exams	14	12	8	13
Students passed in half-yearly but failed in annual exams	6	17	9	15
Student passed in both exams	64	55	46	76

Which section exhibits the highest pass percentage in either of the two examinations?

Given:

Section-wise data of students passing and failing in Class IX exams.

Formula used:

Total students in each section = Students failed in both exams + Students failed in half-yearly but passed in annual exams + Students passed in half-yearly but failed in annual exams + Students passed in both exams

Pass percentage = (Students passed in both exams / Total students) × 100

Calculation:

Total students in Section A = 28 + 14 + 6 + 64

⇒ Total = 112

Pass percentage for Section A = (64 / 112) × 100

⇒ Pass percentage = 57.14%

Total students in Section B = 23 + 12 + 17 + 55

⇒ Total = 107

Pass percentage for Section B = (55 / 107) × 100

⇒ Pass percentage = 51.40%

Total students in Section C = 17 + 8 + 9 + 46

⇒ Total = 80

Pass percentage for Section C = (46 / 80) × 100

⇒ Pass percentage = 57.50%

Total students in Section D = 27 + 13 + 15 + 76

⇒ Total = 131

Pass percentage for Section D = (76 / 131) × 100

⇒ Pass percentage = 58.02%

∴ Section D exhibits the highest pass percentage at 58.02%.