A school has four sections A, B, C, D of Class IX students.
The results of half yearly and annual examinations are shown in the table given below.
Which section has the maximum success rate in annual examination?
Section A
Section B
Section C
Section D
Correct answer is A
Total number of students who passed in annual exams in a section
= [ (No. of students who failed in half-yearly but passed in annual exams) + (No. of students who passed in both exams) ] in that section
Therefore Success rate in annual exams in Section A
= [ No. of students of Section A who passed in annual exams/Total number of students in Section A x 100 ] %
= [ (14 + 64)/(28 + 14 + 6 + 64) x 100 ] %
= [ 78/112 x 100 ] %
= 69.64%.
Similarly, success rate in annual exams in:
Section B [ (12 + 55)/(23 + 12 + 17 + 55) x 100 ] % = [ 67/107 x 100 ] % = 62.62%.
Section C [ (8 + 46)/(17 + 8 + 9 + 46) x 100 ] % = [ 54/80 x 100 ] % = 67.5%
Section D [ (13 + 76)/(27 + 13 + 15 + 76) x 100 ] % = [ 89/131 x 100 ] % = 67.94%
Clearly, the success rate in annual examination is maximum for Section A