Data Interpretation - 1 Tables Answers and Explanations

Transcription

1 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 b d a 6 a 7 b 8 b 9 c 0 c 1 c 2 a d b e 6 e 7 b 8 d 9 b 0 a 1. b % increase in the export from A 61 7 = = % increase in the export from B = = % increase in the export from C = = % increase in the export from D = = a Required change ( ) ( ) = ( ) 200 =.%, increase. 80. d Average increase = = `6.2 crores = `6,2,00,000.. c Witnessed lowest percentage increase in export of the commodity.. a The increase in export from A = 61 7 = ` crore The increase in export from B = = `12 crore Required increase in percentage 12 = = 200%. 6. c By observation, company C has shown a continuous increase in sales a Percentage growth = = = 2.7% b 9. d Company Year % Growth A B C D E Hence, the company B has the maximum percentage growth in the sales. Company C in = = = i.e. :. Company A in a The average sale of company D = =`892 lakhs. 11. c Required percentage growth = 217 Students please note that to calculate the exact value of this expression, we need calculator. Since options given are not very close to each other, we can approximate the values. And using approximations, we get the value of the required ratio = = 6% DI / Exercise - 1 CEX-1/P1BS/17 / Page 1

2 For questions 12 and 1: The given information can be shown as: Books Approximate Percentage Growth Primary % Secondary % Higher secondary % Graduate level % 12. c Hence, percentage growth is least for higher secondary level books, viz. 26%. 1. b Again referring to the above table, we can see that the percentage growth rate is maximum for secondary level books, viz. 127%. 1. d It can be seen from the given table that primary level books have shown a consistent growth except for the year 1978 when it had declined. On the other hand, even secondary and higher secondary level books have shown a consistent growth except for the year 1978 when it had declined. But the graduate level books have shown a consistent growth over the period. 1. a Average book sold in year = c In 199-9: Actual demand = 190 thousand Actual production = 190 thousand Demand supply gap is zero. 17. d All are true. 18. a Average actual production = = = 167 Average actual production is pairs. 19. b New demand is 11% of = pairs. So, demand supply gap = = 200 pairs. 20. d Actual demand in is 110% of 190 = 209 thousand pairs Actual production in year is 8% of 190 = 161. thousand pairs So, (Demand Supply) = ( ) 0 = 7. 0 = 700 pairs. 21. a Runs scored by Gilchrist in s = 1 = 2 Runs scored by him in 6 s = 6 = 2 (As out of the remaining sixes, maximum are by Gilchrist.) Total runs scored in s & 6 s = 2 +2 = 76 For these runs, we has played = 1 + = 17 balls Remaining runs scored in 1 s & 2 s = = 72 CEX-1/P1BS/17 / Page 2 Gilchirst scored 12 runs in 1 s and 60 runs in 2 s. For these runs, he has played = 2 balls Total balls played for 18 runs = = 9 balls Total number of dot balls = 10 9 = balls. 22. b Runs scored by Clarke in s = 11 = Runs scored by him in 6 s = 6 = 18 Total runs scored in s and 6 s = + 18 = 62 Remaining runs = = 19 By taking 1 s or 2 s he has scored these 19 runs. To minimize the number of balls, Clarke has to score more run by taking 2 s. So, he can score 18 runs by taking 2 s and rest 1 run by taking a 1. Total number of balls faced for 19 runs = = 10 Minimum number of balls faced = = 2 balls. 2. c Runs scored by Symonds in s = 2 = 8 Number of dot balls = 6 Remaining balls = 21 (2 + 6) = 1 So, to maximize his score in 1 balls, Symonds can take 7 runs in 1 s runs and 6 runs in 2 s. So, he can score a maximum of = 27 runs. 2. d In order to find the minimum score of team, we have to find the minimum runs scored by Symonds. Minimum runs scored by Symonds = = 22 Minimum score of the team = = b In order to find the maximum possible run rate, we have to find the maximum runs scored and minimum balls faced by the team. For this, we have to find the minimum number of balls faced by M.Clarke and maximum runs scored by A.Symonds. Minimum number of balls faced by M.Clarke = 2 Maximum runs scored by A. Symonds = = Maximum runs scored by the team = = 2 Minimum number of balls faced by the team = = 21 balls or 1. overs Maximum net run rate = 2 1. = 8.8. For questions 26 to 0: The given information can be shown as: History Geography Maths Science English Hindi A B C D E F G c Total marks scored by student A in History, Geography and Science = = 21. DI / Exercise - 1

3 27. b Total marks scored by student B in all subjects = = 78 Percentage marks = 78 7.% b Total marks scored by all students in Maths = = 82. Average marks in Maths = 82. = d Total marks scored by student E in History, Geography, Maths and Hindi together = = 29. Percentage marks = % a Total marks scored by C in all subjects = = 2.7 Total marks scored by G in all subjects = = 68.0 Difference in marks = = c Percentage of students qualified from states B and C in 1996 = 2% e Students from state A appearing during 1996 to 1998 = = 0 Students from state A appearing during 199 to 199 = = Percentage value = 11% b Number of students appeared from all the states in 1998 = = 2 Number of students qualified from all the states in 1998 = = Percentage value = 27%. 2. d Number of students qualified from state D during the years 199 to 199 = = 90 Number of students appeared from state D during the years 199 to 199 = = 6 90 Percentage value = 28%. 6. a Percentage of students qualified from state A = % 620 = Percentage of students qualified from state B = % 670 = Percentage of students qualified from state C = % 670 = Percentage of students qualified from 182 state D = = 26.9% 6770 Percentage of students qualified from state E = % 68 =. 6. a Percentage bulbs rejected 61 for the year 1996 = ; 18% for the year 1997 = = 20.8% for the year 1998 = = 20.7% for the year 1999 = = 20.% for the year 2000 = = 20.62% b In the year 1999, bulbs rejected in Q-II = 190 Bulbs manufactured in Q-IV = 868 Required percentage = % b In the year 1996, the number of bulbs rejected as a percentage of the bulbs manufactured in 160 Quarter I: 20.0% 798 = 201 Quarter II : 21.% 9 = 10 Quarter III : 1.0% 90 = 10 Quarter IV : 17.% 7 = Hence, it is maximum for Quarter II. 9. c In the year 2000, total bulbs manufactured = 8 Total bulbs rejected = 709 Bulbs accepted = = 2729 Number of bulbs which passes another test = = Hence, total bulbs accepted = c Change in the number of bulb manufactured from Q-II to Q-III of the year 1997 = = 20 Change in the number of bulb rejected from Q-II to Q-III of the year 1997 = = 1 Required ratio = 20 : 1 = :. DI / Exercise - 1 CEX-1/P1BS/17 / Page

4 1. c The number of questions answered correctly are 16. So, the number of questions either answered incorrectly or left unattempted would sum upto = 7. The marks obtained by her = 16 2 = 26. Her final score in the exam is 01. Difference between the two scores = = 2 Let the number of questions answered incorrectly by Jyoti be x and those left unattempted by her be y. y x + y = 7 and x + = 2 y y y = 7 2 = 12 y = 16 and x = a The number of questions answered correctly by Monisha are 18. The number of questions either answered incorrectly or left unattempted = = 2 9 Number of questions left unattempted = 2 = 6 1 Number of questions answered incorrectly = 2 6 = 16 1 Monisha s final score = = = d The number of questions left unanswered and number of questions answered incorrectly are 6 = 2 and respectively. The number of questions answered correctly = 200 ( + 2) = 12.. b Let the number of questions answered incorrectly by Shefali be x and those left unattempted by her be y. y x + y = 8 and x+ = 0 On solving the above two equations, we get y y y = 8 0 = 18 y = 2and x = Similarly, in the case of Jyoti (From previous question) Number of questions left attempted = 16 Number of questions answered incorrectly = 21 Difference = 21 = 1.. e Let the number of questions answered incorrectly by Anuja be x and those left unattempted by her be y. y x + y = 8and x + = 9 On solving the above two equation, we get y y y = 8 9 = 9 y = 12 and x = e Domestic procurement quantity in the year 2001 =.8 million tonnes Net domestic availability in the year 2001 = 60 million tonnes Imports in the year 2001 = million tonnes Net domestic production = 60 = million tonnes Required percentage value =.8 = 7%. 7. b Net domestic production = = million tonnes. 8. d Net domestic availability = = = 7.7 million tonnes b Net domestic production in the year 2001 = 60 = million tonnes Net domestic production in the year 2002 (from previous question) = million tonnes Net domestic production in the year 200 = 2 2 = 0 million tonnes Net domestic production in the year 200 (from previous question) = = 7 million tonnes Net domestic production in the year = = 80 million tonnes 2. Total domestic production during the given period = million tonnes Average domestic production over the given period = = 6. million tonnes Hence, in the year 2002, the net domestic production was closest to the average net domestic production. 0. a Among the given options, 200 can be ruled out because the net domestic production decreases in that year. Thus, change in 2002 = = million tonnes Change in 200 = 7 0 = 2 million tonnes Change in 200 = 80 7 = million tonnes. Hence, the year 200 witnessed the least rise in the net domestic production over the previous year. CEX-1/P1BS/17 / Page DI / Exercise - 1

5 Data Interpretation - 2 Bar Graphs Answers and Explanations P-1 (BS) 1 a 2 c a b c 6 b 7 c 8 d 9 d 10 b 11 a 12 a 1 b 1 c 1 a 16 a 17 c 18 c 19 b 20 d 21 a 22 c 2 a 2 b 2 d 26 d 27 a 28 b 29 a 0 d 1 e 2 e a e c 6 b 7 a 8 c 9 e 0 b 1 c 2 b b a d 6 c 7 d 8 a 9 b 0 e 1. a Average runs conceded = = 18 = c During th over percentage run scored was maximum as compared to previous over, which is 7 1 = = 600% c From the table we can conclude that, city B and city E cast more votes for candidate S than candidate T. 8. d No two cities cast the same number of votes for candidate R. 9. d Total number of votes cast in favor of candidate T = = a The percentage decrease = b Only city D cast over 2 rd T. of their votes for candidate 2 = 28.7%. 7. b Average (last three overs) = = a % increase = = = % a Income in 2002 = `0 Lakhs. Expenditure of company in 200 = `0 Lakhs.. c Runs conceded in first two overs = Runs conceded in last two overs = 12 The required ratio = : 12. For questions 6 to 10: The given information can be shown as: R S T Total A B C D E b It is clearly evident from the table that city C cast maximum votes for candidate R. 1. b Profit in 200 = `2 Lakhs. 1. c Required difference = = `10 Lakhs. 1. a Average income = 20 = = `8 Lakhs The income in years 2001, 200 and 200 was greater than `8 Lakhs. 16. a Production of company D 2700 = production of company A 100 = 1.8 production of company A. DI / Exercise - 2 CEX-2/P1BS/17 / Page 1

6 c Required percentage = = 2% c Number of companies whose demand is more than production = Number of companies whose production is more than demand = 2 Required ratio = : b Difference = average demand average production = = d By observation, Company E shows maximum difference between demand and production. 21. a Production of state C in = production of state C in = 2. production of state C in c By observation, state A and state C shows steady increase in the production of cotton during the given period. 2. a Total cotton produce by state C during the given period = ( ) lakh kg = 2,00,00,000 kg. 2. b By observation, state B and state E fulfills the required condition. 2. d Required difference = [( ) ( )] lakh kg. = 1,00,00,000 kg. 26. d By visualization we can conclude that the percentage change in imports is lowest for the year = = 11.11% a Percentage increase in exports from 199 to 199 is 0 00 = = 7.0% b Total exports during years 1992, 199 and 1997 = = `1,0 crores Total imports during years 1992, 199 and 1997 = = `1,200 crores Required difference = `0 crores. 29. a Simple annual growth rate from 1991 to = = =.% d By visualization we see that ratio of imports to exports is lowest in the year e In 199, Average production = = lakh tonnes 6 6 In 199, Average production = = lakh tonnes 6 6 Required difference 280 = = lakh tonnes = 1,00,000 = 9,16, tonnes e For state C, Production in 199 = 0 lakh tonnes Production in 1996 = lakh tonnes 0 % change = = = 12.% a For state A, 0 % growth = = 2 = 10% 0 For state B, 10 % growth = = = 22.22% For state C, % growth = = =.% 0 For state D, 70 0 % growth = = 0% 0 For state F, 10 % growth = = = 28.7%.. e Production of state C in 199 = 0 Production of state F in 199 = Combined production = 0 + = 7 Production of B in 1996 = 60 7 Percentage = = = 12%. 60 CEX-2/P1BS/17 / Page 2 DI / Exercise - 2

7 . c Average production for E, = = Average production for F, = =. Difference of average production of state E and F = Average production for D, = = Average production for C, = = = Difference of average production of state C and D = = Difference between average production of E and C = 7. = Average pr oduction for A = = 8.. Difference between average production of A and E = = Average production for B = =. Difference between average production of A and B =. 8. =.00 Hence, difference is maximum between average production of state E and C. 6. b Minimum percentage increase is in production of pulses 12 8 = = 0% a Average production in = = 10.8 million tonnes. 8. c Percentage increase in production of cereals 29 1 = 9% e Percentage increase = = 10% b Average production in = = 27. million tonnes. 1. c Ratio for the year 1998 = = 0.9 Ratio for the year 1999 = 0. Ratio for the year 2000 = 0.7 Ratio for the year 2001 = 0.70 Ratio for the year 2002 = 0.76 Hence, we can conclude that the ratio is highest for the year b Total number of centers in the year 1998 = = 11 Total number of centers in the year 1999 = = Total number of centers in the year 2000 = = 68 Total number of centers in the year 2001 = = 62 Total number of centers in the year 2002 = = 20 Total number of operational centers during the given period = = 209 Average number of operational centers during the given period = 209 = b Total number of students enrolled in city A = 2 28 Total number of students enrolled in city B = Required ratio = = 7 : a Required percentage = = 7%. 28. d Operational centers in city A in 2000 = 28 Operational centers in city B in 1998 = 87 Hence, required difference = = c Average number of people using mobile service ( ) M= = 10 = d Required percent = = a Required percent 10 = = 18%. 9. b Required ratio = 1 : 10 = : e Required number of people = (2 + 1) 10 = 0 10 = 0,000. DI / Exercise - 2 CEX-2/P1BS/17 / Page

8 Data Interpretation - Line Graphs Answers and Explanations P-1 (BS) 1 c 2 c c a b 6 d 7 b 8 d 9 d 10 b 11 c 12 a 1 b 1 d 1 c 16 b 17 c 18 a 19 d 20 c 21 d 22 c 2 a 2 b 2 d 26 a 27 b 28 e 29 c 0 d 1 c 2 a c b d 6 a 7 d 8 e 9 c 0 d 1 d 2 e b a c 6 e 7 a 8 e 9 d 0 a 1. c By observation we can find the maximum wickets fell down in over period c The runs made in last five overs is 0. 0 Run rate = = 6 runs/over.. c The maximum runs were scored between 10 1 overs.. a 0 runs were scored in to 10 overs. Percentage value = 0 2% 160 =.. b Percentage points of runs in 10 1 overs is 60 7.% 160 = Percentage points of runs in 0 overs is % 160 = The difference is = 7.0% 18.7% = 18.7%. 6. d Total sales of the company during the given period = ( ) 0 = 6,000 Total sales of B during the given period = ( ) 0 = 16,000 Percentage share of B 16,000 = = 7.87%. 6, b Percentage decrease for A from 2000 to 2001 (26 18) = = 0.76% 26 Percentage decrease for A from 2002 to 200 (28 1) = = 0% 28 Percentage decrease for B from 2002 to 200 (76 6) = = 26.1% 76 Percentage decrease for C from 2001 to 2002 (1 2) = = 2.8% d Total sales of bike C during the given period = = 112,000 units Total sales of bike A over the given period = = 118,000 units 112,000 Required ratio = = 6 : , d Total sales of bike C and bike A during the given period = 112, ,000 = 20,000 units Total sales of bike B during the given period = ( ) 0 = 16,000 units (16,000 20,000) Percentage value = 16, = = 27.21% b The average annual sales of the company 6,000 = = units. DI / Exercise - CEX-/P1BS/17 / Page 1

9 For questions 11 to 1: The given graph can be depicted in the following table, though you need not make it. We are taking its help to bring in clarity Journals 6 7 Magazines Books Total c The highest change in the revenue obtained from journals = (7 ) = 2 lakhs in a In 2002, percentage of the total revenue that came from books = 79 % b In 2000, the revenue increased in all the three categories. In 2001, it increased for magazines and books. And in 2002, it increased only for magazines. So, the answer is (b). 1. d Growth rate in 2002 over 2001 (17 169) = = 2.6%. If this rate were to remain 169 same in 200 as well, then the revenue in 200 will be lakh. ` 1. c Percentage growth in the total revenue from 1999 to 2002 = (17 10) 1% b 1998 has the highest difference between the two and is given by = = c In revenue, the highest growth came in 1998 and is = = 18.9% 19% a Profit percentage for year 1996 = = 7.12% Profit percentage for year 1997 = = 17.6% 60 Percentage decrease in profit percentage = = 62.9% 6% d Total cost is 901 and the percentage by which the revenue is greater as compared to the cost is = = 19.26%. 901 CEX-/P1BS/17 / Page 2 Alternative method: = = ~ 20% c Revenue was more than cost for out of 8 years during the given period. 21. d The difference in the revenue and the expenditure for the years = `200 crore = `292 crore = `60 crore = `621 crore = `6806 crore Thus, the largest difference occured in the year c The required ratio = :1 10 :1 26 = ;. 2. a The growth in revenue from 2010 to 2011 = = %. 2. b Average expenditure 111 = =` crores. 2. d A = and B = Therefore, B 7 = 221 =.8. A a Let the expenditure of company B in 199 be `x. Then, 1.2 x = income = 26 lakhs 26 x = = `20.8 lakhs 1.2 Profit = = `.2 lakhs. 27. b Let the expenditure of company B in 199 = the expenditure of company C in 1998 = `x Income of B in 199 = 1.x Income of C in 1998 = 1.0x Ratio of the income of company B to that of C = 1. = 27 : e Let the expenditures of company C in 199 and 199 be `x and `y respectively. Then, 1.2x = 1.0y Ratio of expenditure = x = 1.0 = 26 i.e. 26 : 2. y DI / Exercise -

10 29. c Let the expenditure of company A in 1996 = `x. Income of A in 1996 = 1.x Expenditure of A in 1997 = 1.x Income of A in 1997 = 1. (1.x) The ratio of income of A in 1996 to that in x = 1. 1.x = i.e. : d The percentage change in profit percentage of company A for the given years is: ; % = 0% = 0% = 11.11% = 2% 0 In 1997, the percentage change in the profit percentage in comparison to previous year earned by company A is minimum. 1. c Percentage increase 12 = = 8 = 200% a Percentage decrease = = 2%. 8. c During year and year , passouts from IIT exceeded 2%.. b IIT s pass out = 60; IIM s pass out = 0 Required ratio 2 = i.e. 2 :. 6. d Required ratio = = i.e. : a Let the expenditure of companies A and B in 200 be ` each. (Since we have to find the ratio of income, we can assume such value of expenditure.) 1 Income of A in 200 = = 1 Similarly, Income of B in 200 = 10 Income of A in = = 27 : 28. Income of B in d Expenditure of A in 2007 = 1. =.7lakh e Required average profit percent earned by company B = = = 9 % c Let the income of each company be `x in the year Then, Expenditure of A in 2008 = x = x Expenditure of B in 2008 = x = x x Expenditure of A in 2008 = = 1 :1. Expenditure of B in x 1 0. d Since no amount (of income, expenditure or profit) is given in the question, we can t find the ratio of profits. 1. d Percentage rise of population from the previous year for state B in: : = 0% : = 16.67% : = 28.7% 2007: 0% : = 11.11% Clearly, the highest percentage rise is in e Average population of state B over the years = 6 22 = = 7. million. 6. b Required percentage increase 1 = = %. 0 0 = 0. a Total population of state A over the years = = 18 million Total population of state B over the years = = 22 million Required ratio = 18 : 22 = 7 :. DI / Exercise - CEX-/P1BS/17 / Page

11 c Required percentage = = = 16 % e Average production of sugar in years 1998, 1999, 2000 and = = 2. thousand metric tonnes And average production of sugar in years 2001, 2002, 200 and = = 61.2 thousand metric tonnes Required difference = = 28.7 thousand metric tonnes. 7. a In 1999 the percent increase in production from the previous year 0 1 = = 2.% 1 In 2000, the production of sugar decreases. In 2001, the percent increase in production from the 0 previous year = = 16.67% 0 In 2002, the production of sugar increase from the 6 0 previous year = = = 8.71% In 200, the percent increase in production from the 7 6 previous year = = 1.8% 6 In 200, the production of sugar decreases. Hence, percentage increase maximum for e In 1998, the value of sugar per thousand metric tonne = = `1.8 lakh 2 1 In 1999, the value of sugar per thousand metric tonne 80 = =`1.600 lakh 0 In 2000, the value of sugar per thousand metric tonne 0 = =`1.666 lakh 0 In 2001, the value of sugar per thousand metric tonne 11 = = `1.62 lakh 2 In 2002, the value of sugar per thousand metric tonne 102. = =`1.7 lakh 6 In 200, the value of sugar per thousand metric tonne 2 = = `1.66 lakh 2 7 And in 200, the value of sugar per thousand metric tonne = 110 =`1.71lakh 70 It is the highest in the year d It is the lowest in the year a Total production = ( ) = 0 thousand metric tonnes. 2% of the total production 2 = 0 = 8 thousand metric tonnes Hence, option (a) is correct. CEX-/P1BS/17 / Page DI / Exercise -

12 Data Interpretation - Pie Charts Answers and Explanations P-1 (BS) 1 a 2 b d c a 6 d 7 b 8 c 9 a 10 b 11 b 12 a 1 b 1 b 1 c 16 c 17 a 18 a 19 b 20 b 21 a 22 c 2 d 2 a 2 d 26 b 27 d 28 d 29 a 0 a 1 d 2 c e a b 6 b 7 d 8 c 9 b 0 d 1 d 2 b c e a 6 c 7 e 8 a 9 a 0 d 1. a Monthly salary = `,000 i.e. % = `,000 `1,000 is 20% of `,000 So, items more than 20% are Savings and House rent. 2. b For expenditure of `1,00: = 0% i.e. House rent.. d `,000 = % 2% =? = `1,10 per month For annual savings = `1,10 12 = `1,800.. c % = 60 10% = = 6.. a Salary = `8,000 per month Annual salary = `8, = `96,000 Total expenditure on entertainment and petrol heads 1 = 96,000 =` 2, d Central angle subtended by the amount spent on Fooding and Transportation together = = 127. It constitutes 127. % =.8% of her 60 monthly salary. 7. b Since the central angle subtended by the amount saved and that by the amount spent on Misc is 98.6 and 82 respectively. The amount saved is more than the amount spent on Misc by 16.6 = 20.2% c Sum of the central angle subtended by the total amount spent on Housing and Fooding = Sum of the central angle subtended by the amount saved and that spent on Electricity = Required percentage = = 9.10% a Central angle measure after cutting her Misc expenditure amount = = 6.6 This reduction in central angle measure of Misc will add up to the central angle subtended by savings i.e = b Amount spent on fooding and housing =,000 = `1, b Amount spent on rent and food 9 = 2000 = `1, a Ratio of the expenses on education to the expenses on food = 1% % = 1 i.e. 1 :. 1. b Required percentage value = %. DI / Exercise - CEX-/P1BS/17 / Page 1

13 1. b Total angle = 60 and total percentage = % x% to 60 = 108 x = 0% So, fuel, education and others = = 0%. 1. c Ratio of the amount spent on others to that on clothing 6% and food together = =. 6% c Yasin got the minimum votes. Q 60 = = = a Sivaraman got the maximum votes. i.e = 20 votes 60 He was the winner. 18. a Angle of the difference of votes of the winner and the nearest rival = 120 = = = = b Required difference = Votes secured by Sivaraman Votes securred by Yasin = = b Sum of the votes secured by Parmajeet and Yasin 10 = 720 = a Let the total money spent be `x. x = 9, x = `72,000 Money spent on hockey = = `20,000 Difference = 20, = `11, c Money spent on cricket = = `2, d Amount spent on all sports = 9000 = ` 72, a Required percentage = = 7%. 20 CEX-/P1BS/17 / Page d Required sum = 20,000 = `7, For questions 26 to 0: From the pie charts, the sales figures in ` in crores are: Company HILL 10 P&G 7. 7 Henkel Nirma Others Above table has been made to explain the things. You need not make it. Also in pie-charts of this sorts, it is very advantageous to identify the ratio and percentage increase of total size of pie charts in the years. In this case the ratio of the total size of the market is 6 : 1 i.e. 2 :. 26. b Percentage increase = 7 10 = 10% d Growth in sales of P&G = ( ) = `7. crore. HLL = ( ) = `10 crore. Henkel = ( ) = `2. crore. Others = ( ) = `.7 crore. Nirma = ( ) = `26.2. Alternative method: Since growth in total sales has been 10% from year 2002 to 200. So, we can change the pie chart of year 200 as HLL = 0 2. = % P & G = = 0% Henkel = = 0% Nirma = 1 2. = 7.% Other = 2. = 12.% These percentages are of market size in year 2002, i.e. `10 crore. Now, visually, one can figure out the minimum growth in sales is in others. 28. d Growth rate of HLL = 10 2.%. 29. a Sales of P&G in year 2002 = 2% of 10. Sales of P&G in year 200 = 20% of Ratio of sales in year 2002 to 200 = = i.e. 1 : 2. Alternately, since we know the ratio of the pies is 2 :, one just needs to do the following 2% of 2 : 20% of i.e. 0 : i.e. 1 : 2. DI / Exercise -

14 0. a Detergent market grows by 10% of 10 = `1 crore. 1. d % of 0% of total fertilizer sales = 6000, i.e. 18% of total sales = 6000 Total sales = 6000 =. lakh tonnes c DAP sold by IFFCO = 20% of 0% of lakh tonnes = 8% of lakh tonnes = 0. lakh tonnes.. e NFL market share = 20% NPK market share = 2% of 0% = 10% Difference = (20 10)% of 2. lakh tonnes = 0.2 lakh tonnes.. a Total fertilizer sold by HFC and FACT = (2 + 10)% of lakh tonnes = % of lakh tonnes = 1.0 lakh tonnes.. b Sales of UREA by IFFCO = % of 2 lakh tonnes = 0.90 lakh tonnes Sales of Bio-fertilizer by IFFCO = 10% of 2 lakh tonnes = 0.20 lakh tonnes Ratio of sales = = i.e. 9 : For questions 6 to 0: In the pie diagram, the expenses are given in total b Expenditure of family A on light = 9600 = ` Expenditure of family B on light = = `600 Ratio = 80 : 600 = :. 7. d Percentage on education shall remain same at = 19.% c Family A spends = 800 = ` B spends = 7200 = ` Required percentage = 82% b For family A, light = =` For family B, light = =` Difference = = `60 (least) d Percentage of expenditure of A on food = ` Percentage of expenditure of B on food = ` 60 Ratio = 96 : 110 = 8 :. For questions 1 to : Annual expenditure on different items: Maintenance = Medical = = `2,6,00,000 = `1,6,00,000 Transport = = `60,00,000 Salary = Electricity = Telephone = = `,60,00, = `1,2,00, = `1,,00,000 Allowance = = `8,,00,000 Departmentwise distribution of employees: Number of employees in account = = 168 Number of employees in administration 1200 = 18 = Number of employees in personnel = = 180 Number of employees in marketing 1200 = 7 = Number of employees in computer = = 96 Number of employees in operation 1200 = 28 = 6 1. d Total expenditure on accounts department = 1200 = `16.8 millions. 1 = b Per employee expenditure on medical = = `1, DI / Exercise - CEX-/P1BS/17 / Page

15 . c Total expenditure on salary of employees in marketing department = 20 = `6.12 millions e Amount spent on electricity = = ` = `12 lakhs.. a Expenditure on telephone for employees in computer department = 96 = `11.2 lakhs , c Required percentage = 12%. 2, e Percentage of type D of employees in a,000 = 10%. 8, a Required difference = 8,60 2,980 = = d Type A employees in 1998 = = i.e % 2980 We have to check for the pairs in 1997 where the sum is 2% i.e. C and D. CEX-/P1BS/17 / Page DI / Exercise -

16 Data Interpretation - Combination Graphs Answers and Explanations P-1 (BS) 1 d 2 c c d d 6 b 7 d 8 a 9 d 10 c 11 c 12 b 1 c 1 c 1 b 16 c 17 b 18 a 19 d 20 d 21 b 22 d 2 d 2 a 2 c 26 c 27 c 28 e 29 a 0 e 1 c 2 b e c e 6 c 7 a 8 d 9 b 0 e 1 d 2 c b b c 6 b 7 a 8 e 9 a 0 d 1. d Market share of company C = ( ) = 1% In 200, sales of company A = 0,000 units, which is 2% of the total sales. Q 0,000 = 2 Total sales Total sales = 0,000 2 Sales of C = 1% of total sales 2. c Average sales of company B = = 6,20 units.. c In 2002, sales of company A = 2000 units In 200, sales of company A = units Percentage growth rate = = 10% 2000 Simple annual growth rate = %.. d The answer cannot be determined as the break-up provides the data for the year 200 only.. d In 200, sales of company A = 0,000 units which is 2% of total sales. Q 2% of total sales = 0,000 2 total sales = 0,000 0,000 Total sales = = 1,2,000 units b Runs scored by Sachin against Australia = = 10 Runs scored by Sachin against Pakistan = = Required percentage = ( ) = 22.72%. 7. d As matches played against South Africa in each year is not known, so answer cannot be determined. 8. a Runs scored against England = = d Percentage increase over previous year is highest in ( ) 2000, which is = = 71.2%. 10. c Sachin scored 0 or more runs per match times i.e. in 199, 1998, 1999 and c Profit = Profit% of cost. In 199, 7. Profit = 120 =` 9 lakhs. Similarly, In 199, profit = `2 lakhs In 199, profit = `29.2 lakhs In 1996, profit = `29.7 lakhs In 1997, profit = `8 lakhs In 1998, profit = `1.2 lakhs We see that the profit is maximum in the year DI / Exercise - CEX-/P1BS/17 / Page 1

17 12. b Total expenditure = = `920 lakh 920 Average expenditure = `1.lakh c Percent profit increase/decrease from the previous year ( ) In 1997, the percent profit increase/decrease from the previous year is minimum. 1. c Income in 199 = Cost in Profit in 199 = = `18 lakh. 1. b Income in 1997 = Cost in Profit in = = = `27. lakh. 16. c Required ratio = 2.27 : = : 0.7 = 227 : b Required percentage = % a Total number of candidates appearing from all the cities together = = 12.2 lakhs Number of candidates passed from city F 7 = 2.7 = 1.92 lakhs 12 Required percentage = 1.92 = 12.9% d Number of fails candidates from City A = 1.2 lakhs = 0.7 lakh 10 CityB =.1 lakhs = lakh 8 CityC = 1.08 lakh = 0.6 lakh 9 CityD = 2.27 lakh = lakh CEX-/P1BS/17 / Page 2 2 CityE = 1.8 lakh = 0.7 lakh CityF = 2.7 lakh = 0. lakh. 12 Hence, it is maximum for city D. 20. d Number of candidates passed from city E = 1.8 lakhs = b Total cost of item I by companies A and C together = = = `.9 crore. 22. d Amount of profit earned by company D on item II 8 2 = 2 = `1.2 lakh d Cost of production of item I by company F 1 = 2 =`0.2crore Cost of production of item II by company D 8 = 2 2 = `1.2crore Required percentage = = 20% a Total profit earned by company G = = = `0.78 crore = `78 lakh c Required ratio = = 2: c Difference = (20% 8%) of 0 lakh =.8 lakh. 27. c In 199, number of music systems and TV sold = = lakh Number of music systems and TV sold by Philips = (6% of 0 + 0% of 1) = 18.9 lakh 18.9 The market share of Philips = %. DI / Exercise -

18 28. e Number of Panasonic music systems sold: in 1990 = 10% of 2 = 2. lakh in 199 = % of 0 = 2 lakh 2. 2 Thus, decrease = = 20% a Sales value (turnover) of Kenwood music systems: in 1990 = 2000 x (10% of 2 lakh) = ` 0 crore in 199 = 000 x (20% of 0 lakh) = ` 20 crore Percentage increase in turnover 190 = = 80% e Cannot be determined because the data gives the market share on volume basis and not value basis. 1. c Total distance Average speed = Total time Time taken to cover the distance by Train 1 = 2 min, Train 2 = 20 min Average speed for Train 1 = = 7.02 kmph Train 2 = = 6.08 kmph b Average speed of train 1 = 7.02 kmph and train 2 = 6.08 kmph Thus, train 1 is faster than the train 2 by ( ) = 2.0% e Let the distance of the stretch in which the difference of the speed is the maximum be d and let the speeds of trains 1 & 2 for this stretch be x and y respectively. Also, let time taken by trains 1 & 2 be t 1 and t 2 respectively. d x = and t 1 y = d t 2 t2 t1 x y = d. t1 t2, thus Thus, the difference in speeds is dependent upon not only the time taken but also the distance covered. Since the length of the stretches is not given, hence, answer cannot be determined.. c For train 1, total time = 2 min and it stops for 1 min. Hence, time spent in motion = 21 min. The speed of train 1 has been increased by 20% or it has become 6 times, the time in motion for the train should become 6 times. Thus at the increased speed, the time in motion for train 1 = 21 = 192. min 6 Total travel time = = 206. min Thus, the train 1 will reach B at 11:26:0 a.m.. e Since the distance of the four stretches is not known, hence, the speed in the stretch cannot be determined. 6. c The difference in number of candidates appeared from Mumbai in the following years over the previous years was as follows: 200 and 200: = and 200: = and 2006: = and 2001: = and 2002: = and 200: = 8187 Clearly, the minimum difference was in the year Alternative method: Two possible answers are years 2007 and 200. Between these two, the difference in number of candidates appeared from Mumbai over the previous year will be the minimum for the year a The number of candidates qualified from Chennai in following years was as follow: Number of candidates in year : 76 = : 892 = : 106 = : 21 = : 92 = : 76 = : 892 = Maximum number of qualified candidates was in d Required number of candidates = = b Required number of candidates 19 = 712 = DI / Exercise - CEX-/P1BS/17 / Page

19 e Required difference = = d Number of boys in schools R and U together ( ) = = = Required percentage = = c Number of boys in school T = = b Required percentage = b Required average = = ( ) 2 1 = 10 = c Required ratio = 200 : 000 = 2 0 : 0 = 20 : b Number of candidates appeared in 1997 = 000 Number of candidates appeared in 200 = 000 Number of candidates qualified in = 0% of 000 = 000 = a In 1997, the number of qualified candidates 2. = 000 = 162 In 1998, the number of qualified candidates 7. = 00 = 70 In 1999, the number of qualified candidates 0 = 2200 = 670 In 2000, the number of qualified candidates 0 = 1700 = 20 In 2001, the number of qualified candidates 2. = 2700 = In 2002, the number of qualified candidates 22. = 0000 = 670 In 200, the number of qualified candidates = = 7000 And in 200, the number of qualified candidates 0 = 000 = 1000 Hence, it is the lowest in e Required percentage = = % a 000 Required ratio = = = : d 670 Required percentage = = 67.%. 00 CEX-/P1BS/17 / Page DI / Exercise -