Directions (1 - 5): Study the following table carefully and answer the questions given below:
Number (N) of Candidates (In lakhs) Appearing for An Entrance Examination from six different States and The percentage (P) of candidates clearing the Same over the years.
STATE → A B C D E F
YEAR ↓ N P N P N P N P N P N P
2004 1.23 42 1.04 51 1.11 32 1.32 24 1.23 36 1.33 31
2005 1.05 43 1.12 62 1.07 47 1.15 49 1.18 55 1.24 24
2006 2.04 38 1.48 32 1.08 28 1.96 35 1.42 49 1.58 26
2007 1.98 41 2.07 43 1.19 30 1.88 46 1.36 47 1.79 29
2008 1.66 53 1.81 50 1.56 42 1.83 60 1.73 57 1.86 34
2009 1.57 39 1.73 36 1.64 52 2.01 56 1.69 55 1.95 37

Examveda
Examveda

What is the ratio of the total number of candidates clearing the entrance examination from state B in the year 2004 to that of those clearing the entrance examination from State C in the same year?

A. 221 : 148

B. 218 : 143

C. 148 : 221

D. 143 : 218

E. None of these

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & \text{Required ratio} \cr & = \frac{1.04\text{ lakhs}\times51\%}{1.11\text{ lakhs}\times32\%} \cr & = \frac{1.04\times51}{1.11\times32} \cr & = \frac{104\times51}{111\times32} \cr & = \frac{13\times17}{37\times4} \cr & = \frac{221}{148} \cr & = 221:148 \cr} $$

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