Question

Which section has the minimum failure rate in half yearly examination?

• A. A Section
• B. B Section
• C. C Section
• D. D Section

Answer 1

The correct option is D D Section

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