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1. 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

What is the average number of candidates appearing for the entrance exam from state D in the years 2007, 2008 and 2009 together?

A. $1907 \frac{2}{3}$

B. $18666 \frac{1}{3}$

C. $1866 \frac{1}{3}$

D. $190666 \frac{2}{3}$

Solution:

Average number of candidates appearing from state D in 2007, 2008, 2009

\begin{aligned} = \frac{1.88 + 1.83 + 2.01}{3} lakhs \\ = \frac{5.72}{3} lakhs \\ = \frac{5.72 \times 100000}{3} \\ = \frac{572000}{3} \\ = 190666 \frac{2}{3} \end{aligned}

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

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