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 minimum failure rate in half yearly examination?
Section A
Section B
Section C
Section D
Correct answer is D
Total number of failures in half-yearly exams in a section
= [ (Number of students who failed in both exams) + (Number of students who failed in half-yearly but passed in Annual exams) ] in that section
Therefore Failure rate in half-yearly exams in Section A
= [ Number of students of Section A who failed in half-yearly/Total number of students in Section A x 100 ] %
= [ (28 + 14)/(28 + 14 + 6 + 64) x 100 ] % = [ 42/112 x 100 ] % = 37.5%
Similarly, failure rate in half-yearly exams in:
Section B [ (23 + 12)/(23 + 12 + 17 + 55) x 100 ] % = [ 35/107 x 100 ] % = 32.71%
Section C [ (17 + 8)/(17 + 8 + 9 + 46) x 100 ] % = [ 25/80 x 100 ] % = 31.25%
Section D [ (27 + 13)/(27 + 13 + 15 + 76) x 100 ] % = [ 40/131 x 100 ] % = 30.53%
Clearly, the failure rate is minimum for Section D.
