Data Interpretation 1 Table and Bar Graph Answers and Explanations

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1 Data Interpretation 1 Table and Bar Graph Answers and Explanations 1 a 2 c 3 d 4 c a 6 b 7 c 8 d 9 d 10 b 11 b 12 c 13 b 14 d 1 a 16 b 17 c 18 b 19 c 20 b 21 d 22 d 23 b 24 c 2 a 26 c 27 d 28 b 29 d 30 c 31 b 32 c 33 c 34 b 3 c 36 d 37 c 38 d 39 a 40 b 1. a For , Kharif production = million tonnes For , Kharif production = 4 million tonnes For , Kharif production = 4 million tonnes For , Kharif production = 3 million tonnes For , Kharif production = 4 million tonnes Average Kharif production for the given years = = 20 = 4 million tonne. 2. c Average number of men per interval who participated in this survey = = 1070 = d Total number of students in activity II = = 900. Total number of students in activity IV = = 1800 Required % = 900 0% = 4. c Arranging the observations of activity-iii in ascending order. 6, 7, 130, 13, 220, 420, 40 Number of observations = 7 (odd) 7+ 1 Median = th observation = a 6. b Required ratio = 900 : 2000 = 9 : 20. Difference of range & average no. of students. = = d Total production of Rice = = 28 Total production of Wheat = = 30 Ratio = 28 : 30 = 14 : 1 9. d Difference between the production of rice and wheat In state A = 16 8 = 8 lakh tonne In state B = 10 2 = 8 lakh tonne. 10. b State B 10 lakh tonne 11. b Average production of rice = = 28 =.6 lakh tonne 12. c 13. b Required percentage = = 14. d No. of persons killed in 2009 = = 0 1. a 16. b 17. c Required average = 480 = = c Average no. of students in activity-iii = 7 = 1603 = Range in the activity IV = = 333 DI Exercise 1 CEX-401/17 Page 1

2 For questions 18 to 21: The information given in the bar chart can be tabulated as shown below: Month A (in ` '000) B (in ` '000) Income Savings Expenditure Income Savings Expenditure June July August September b Total savings (in ` 000) of A = ( ) = c The minimum percentage decrease in the total income of A and B put together over the previous month was in September and it was = 7.7% b The total expenditure (in ` 000) of A and B put together = ( ) + ( ) = d The savings of B as a percentage of its income was the minimum in June and it was 11.11%. 22. d The rate of rejection is the lowest for product "E" and is equal to (0 400) = 12.%. 23. b Total acceptable production is = Total production Total rejection = = c Overall rate of rejection is given as equal to Total rejection 10 = = Total production 4600 = 33.7% a Required ratio = = 2: c Required value = = `12, d Required percentage = 79.17% b Savings of A = ( 60)% of income of A = 40% of income of A Savings of E = ( - 40)% of income of E = 60% of income of E. Given that savings of A : savings of E = 1 : 40% of income of A 1 = 60% of income of E Income of A = = Income of E % of income of A 3 3 Required ratio = = = 9:10. 10% of income of E d The total imports of the six countries put together was the maximum in 2011 and it was equal to = $77.1 bn. 30. c It can be observed from the table that there were two countries that witnessed decrease in their imports in at least two consecutive years and these countries were Angola and Albania. 31. b There were two years in which Australia witnessed an increase in its imports over the previous year. It is clear from the table that in two years i.e. in 2010 and The percentage increase in = = The percentage increase in = = Hence, in two years Australia witnessed an increase of at least 1% in its imports over the previous year. 32. c The total imports of Australia = = The total imports of Austria = = Required percentage = = CEX-401/17 Page 2 DI Exercise 1

3 33. c It can be observed from the graph that the years in which the absolute difference between the prices (in $/bbl) of the two crude oils was more than $ 4 were 2008, 2011 and Hence, the required number of years was b The average price (in $/bbl) of WTI crude oil per year = = c The price of Brent crude oil recorded the highest percentage increase in 2010 over the previous year and it was equal to 3.7%. 36. d The absolute difference between the prices (in $/bbl) of the two crude oils was the third lowest (i.e. $3.2) in d The profit witnessed the highest change in 2011 over that of 2010 and was equal to = `90 lakh. 39. a The percentage increase in the profit over that of the previous year was the highest in the year 2008 and was equal to = 40. b Simple annual growth rate of the sales for the given period Sales in 2011 Sales in = Sales in = 1.28% c The average of profits (in ` lakhs) = Total profit during thegiven period Total number of years = = 343. DI Exercise 1 CEX-401/17 Page 3

4 Data Interpretation 2 Pie Chart and Line Graph Answers and Explanations 1 a 2 c 3 b 4 b d 6 c 7 d 8 d 9 b 10 c 11 b 12 a 13 b 14 a 1 a 16 a 17 c 18 a 19 c 20 b 21 d 22 d 23 b 24 b 2 c 26 d 27 d 28 a 29 c 30 a 31 d 32 b 33 d 34 a 3 b 36 a 37 c 38 a 39 b 40 a 1. a Total production is 9000 tonne. Annual production of wheat 110 = 9000 = 270 tonne c The percentage decrease of accidents from May to June = = 1 % b Male workforce in VII = = 80 When total workforce = 100 Total workforce in VII = = 120 Female workforce = = 40 When total workforce = Total workforce in VII = 1600 = 128 Female workforce = = 48 Required percentage increase = = 20% b Male workforce in V = = 96 Workforce in V = = 180 Hence, female workforce in V = = c Male workforce in I = = 192 Female workforce in I = Male work in VI = = = 138. Female workforce in VI = = 138 So I and VI have same number of females. 7. d Female working in I = Female working in II = = = 81 Female working in III = = = Female working in IV = = = Female working in V = = = 84 Female working in VI = 138 Female working in VII = 40 Average = = Hence, 4 scales have the less females than the average.. d Male in VII 80 2 = = Female in VII 40 1 DI Exercise 2 CEX-402/17 Page 1

5 8. d Percentage increase = 10 4 = 10% b Total sales = = `27 crore. 10. c Percentage decrease 6 = 0 2 = = 16 % b Ratio of sales = 2 : 6 = 1 : a Average sales = = `.8 crore. 13. b 10% of 72 = 7.2 Increase in the corresponding angle of wheat = º 3 = New corresponding angle for wheat = = a Let production of bajra be x tonne. Production of Jowar = 2x tonne. and production of rice = 10 x tonne 10x x Required ratio = : = : a Corresponding angle for rice and barley = = acres acres = 1800 acres. 16. a Q % = 360 0% = 180 Wheat + rice + maize = = 189 > º c Required ratio = =. 36º a Difference between the expenditure on housing and transport 10 = = `1, c Others = 20% 20. b Housing = 1%, Savings = 1% 21. d = 27% 22. d Expenditure on food = = `34, b The number of students = (10% of % of 400) = b Number of male students who got admission in B.Com. = (1% of % of 400) = 140 Hence, the percentage = = c Number of male students who got admission in B.A. = (20% of % of 400) = 140 Number of female students who got admission in BCA = 60 Hence, the difference = = d Required ratio = 240 : 140 = 12 : d Required percentage = = a Required percentage = (120 4) = c Required difference = (60 1) 4800 = a Required percentage = = d On the basis of the given information, this question cannot be answered. CEX-402/17 Page 2 DI Exercise 2

6 For questions 32 to 3: The given information can be shown as: Cost Year Variable Cost Fixed Cost Total Cost Revenue Profit/Lost b The company made profit only in one year i.e d Overall loss (in `) = = 4,19, a From the line chart it is clear that the maximum absolute difference between variable cost and revenue was in year b Total revenue generated = ( ) 0 = `63,11,000. For questions 36 to 39: Following table shows the number of boys and girls in different streams: Mechanical Electrical Computer IT Civil Boys Girls Total a Total number of girls = = c The number of girls in Civil = 120 The number of girls in Computer = The required percentage = = = 87.% a The required maximum difference = 40 7 = b The number of girls in Mechanical = The required central angle = 360 ; a Required ratio = 72 : 120 = 3 :. DI Exercise 2 CEX-402/17 Page 3

Data Interpretation - 1 Tables Answers and Explanations

Data Interpretation - 1 Tables Answers and Explanations P-1 (BS) 1 b 2 a d c a 6 c 7 a 8 b 9 d 10 a 11 c 12 c 1 b 1 d 1 a 16 c 17 d 18 a 19 b 20 d 21 a 22 b 2 c 2 d 2 b 26 c 27 b 28 b 29 d 0 a 1 c 2 e