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1. Study the following table carefully and answer the question that follow:
Number of candidates (in lakhs) appearing in a Entrance Examination from six different Cities.

City A B C D E F

No. of Candidates 1.25 3.14 1.08 2.27 1.85 2.73

Ratio of Candidates Passing and Failing Within the City

City Ratio of Passing and Failing

A 7 : 3

B 5 : 3

C 4 : 5

D 1 : 3

E 3 : 2

F 7 : 5

Which city has the highest number of students failing the entrance exam?

A. F

B. C

C. B

D. D

Solution:

Number of failures from different cities:

\begin{aligned} A \to 1.25 \times 100000 \times \frac{3}{10} \\ = 37500 \\ B \to 3.14 \times 100000 \times \frac{3}{8} \\ = \frac{314000 \times 3}{8} \\ = 117750 \\ C \to 1.08 \times 100000 \times \frac{5}{9} \\ = 108000 \times \frac{5}{9} \\ = 60000 \\ D \to 2.27 \times 100000 \times \frac{3}{4} \\ = 227000 \times \frac{3}{4} \\ = 170250 \\ E \to 1.85 \times 100000 \times \frac{2}{5} \\ = 185000 \times \frac{2}{5} \\ = 74000 \\ F \to 2.73 \times 100000 \times \frac{5}{12} \\ = 273000 \times \frac{5}{12} \\ = 113750 \end{aligned}

So,
The maximum number failures are from city D.

City	Ratio of Passing and Failing
A	7 : 3
B	5 : 3
C	4 : 5
D	1 : 3
E	3 : 2
F	7 : 5

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