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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 total number of candidates clearing the entrance examination from State E and F together in the year 2006?

A. 16160

B. 110660

C. 11066

D. 1106600

Solution:

Number of candidates clearing the exam from states E and F together in 2006.

\begin{aligned} = (1.42 lakhs \times \frac{49}{100}) + (1.58 lakhs \times \frac{26}{100}) \\ = \frac{(1.42 \times 49) + (1.58 \times 26)}{100} lakhs \\ = \frac{69.58 + 41.08}{100} lakhs \\ = \frac{110.66}{100} \times 100000 \\ = 110660 \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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