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?

Which section has the maximum success rate in annual examination?

A.

Section A

B.

Section B

C.

Section C

D.

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