Which city has the highest number of students failing the entrance exam ?
(a)$F$
(b)C
(c)$B$
(d)$D$
(e)None of these
Answer
Answer (as printed): D
Explanation
Number of failures from different cities: $$\begin{aligned} & A \rightarrow\left(1.25 \times 100000 \times \frac{3}{10}\right)=37500 \\ & B \rightarrow\left(3.14 \times 100000 \times \frac{3}{8}\right)=\left(\frac{314000 \times 3}{8}\right)=117750 \\ & C \rightarrow\left(1.08 \times 100000 \times \frac{5}{9}\right)=\left(108000 \times \frac{5}{9}\right)=60000 \\ & D \rightarrow\left(2.27 \times 100000 \times \frac{3}{4}\right)=\left(227000 \times \frac{3}{4}\right)=170250 \\ & E \rightarrow\left(1.85 \times 100000 \times \frac{2}{5}\right)=\left(185000 \times \frac{2}{5}\right)=74000 \\ & F \rightarrow\left(2.73 \times 100000 \times \frac{5}{12}\right)=\left(273000 \times \frac{5}{12}\right)=113750 \end{aligned}$$ So, the maximum number of failures are from City $D$.
Explanation as extracted from the printed page; notation may be imperfect.