### Data interpretation

Study the following table and answer the following Questions.

Percentage of literate population over the total population of state for different states over the years.

 Year State 2005 2006 2007 2008 2009 2010 A 65 72 69 78 79 82 B 82 81 85 85 87 88 C 78 81 84 87 89 91 D 56 65 69 71 75 77 E 89 93 94 95 95 97 F 85 88 91 93 95 96

1. Population of State C in 2005 and 2006 were in the ratio of 2:3 respectively. what was the respective ratio of their literate population?
1) 51 : 82
2) 15 : 18
3) 9 : 13
4) 26 : 27
5) None of these

2. In 2006 , all the six states had equal population of 12 lakhs. what was the average literate population of the states in that same year ?
1) 9, 88, 000
2) 10, 56, 000
3) 9, 60, 000
4) 10, 28, 000
5) None of these

3. Population of State 'D' in 2006 and 2009 was equal. Approximately, what was the percentage increase in literate population from 2006 to 2009?
1) 17
2) 15
3) 16
4) 18
5) 19

4. Population of State 'B' increased every year by 10%. If its total population in 2007 was 10 lakhs, what was its literate population in 2009?
1) 10,52,700
2) 9,57,000
3) 11,52,400
4) cannot be determined
5) None of these

5. If the average population of all States in 2007 was 12.5 lakhs what was the average literate population in that year?
1) 10.25 lakhs
2) 10.75 lakhs
3) 11 lakhs
4) Cannot be determined
5) None of these

1- 5
2- 3
3- 2
4- 1
5- 1
explanation
1. (5) let population of state C in 2005 and 2006 be 2x and 3x respectively
literate population in 2005 is= 78/100* 2x
literate population in 2006 is = 81/100*3x
required ratio= 78* 2x : 81 * 3x = 52 : 81

2. (3) Average literate population = 1200000/100 * (72+81+81+65+93+88/6)

3.  (2) Required %= 75- 65/ 65* 100= 15.38=15

4. (1) Population of State B in 2009=10(1+10/100)2

= 12.1 lakhs

5.(1) Average % of literate population= 69+85+84+69+94+91/6= 82
required average literate population= 82% of 12.5 lakhs = 82*12.5/100= 10.25 lakhs

#### 1 comment:

1. good questions!!!!! post some more