Data Interpretation is one of the easy sec-tions of one day competitive Examinations. It is anextension of Mathematical skill and accuracy. Datainterpretation is nothing but drawing conclusionsand inferences from a comprehensive data pre-sented numerically in tabular form by means of anillustration, viz. Graphs, Pie Chart etc. Thus theact of organising and interpreting data to get mean-ingful information is Data Interpretation.

A good grasp of basic geometric as well asarithmetic formulae is must to score high in thissection. Familiarity with graphical representationof data like Venn diagrams, graphs, pie charts, his-togram, polygon etc. should be thought. Once thedata are grasped well, questions based on tablesand graphs take little time.

In some competitive examinations data arepresented in more than one table or graphs. Theaim is to test not only quantitative skill but alsorelative, comparative and analytical ability. The cruxof the matter is to find a relationship between thetwo tables or graphs before attempting the ques-tions.Some Useful tips:1. Data Interpretation questions are based on

information given in tables and graphs. Thesequestions test your ability to interpret the in-formation presented and to select the appro-priate data for answering a question.

2. Get a general picture of the information be-fore reading the question. Read the given titlescarefully and try to understand its nature.

3. Avoid lengthy calculations generally, data in-terpretation questions do not require to doextensive calculations and computations.Most questions simply require reading thedata correctly and carefully and putting themto use directly with common sense.

4. Breakdown lengthy questions into smallerparts and eliminate impossible choices.

5. Use only the information given and yourknowledge of everyday facts, such as thenumber of hours in a day, to answerthe questions based on tables andgraphs.

6. Answer the questions asked and not what youthink the questions should be.

7. Be careful while dealing with units.8. To make reading easier and to avoid errors

observe graphs keeping them straight.9. Be prepared to apply basic mathematical rules,

principles and formulae.10. Since one of the major benefits of graphs and

tables is that they present data in a form thatenables you to readily make comparisons, usethis visual attribute of graphs and tables tohelp you answer the questions. Where pos-sible, use your eyes instead of your compu-tational skills.These are many categories through which the

data can be interpreted, These are1) Numerical Data Tables2) Bar Diagrams3) Line Graphs4) Pie Diagrams1) Numerical Data Tables

A table is a systematic presentation of statis-tical data in horizontal rows and vertical col-umns according to some salient features. Itis one of the most important devices for thepresentation of the data in a condensed andcomprehensive form which provides the gate-way for further statistical analysis and inter-pretation.

DATA APPRECIATION& INTERPRETATION

Parts of A TableBefore we go further in our discussion, itseems imperative to know the parts of a table.Though the various parts of a table dependon the nature of the data and purpose of theinvestigation, the following features generallyform the parts of a table. Before embarkingon attempting questions, an aspirant must payattention to these points.

(i) Table Number: The table number, usuallygiven at the top of the table or in the side oftitle, serves to identify the table for futurereference.

(ii) Title : The title, usually given at the top, de-scribes the nature of the data, the place ofrelation, the time period etc.

(iii) Head Note: It is a sort of a supplement tothe title. For example, the units of measure-ment are usually expressed as head note as'in kilometres', 'in crores', 'in rupees' etc..

(iv) Columns and Rows: Columns are verticalarrangements, whereas rows are horizontalarrangements.

(v) Captions : The heading of columns is calledcaption. It briefly expresses the contents ofthe columns.

(vi) Stubs: The heading of rows is called stub. Itbriefly expresses the contents of the rows.

(vii) Body: It contains the numerical data to bepresented to the readers.

(viii) Foot Notes: If some additional informationregarding the data is required, foot notes areused for this purpose. They appear at thebottom of the table.

Types of TablesStatistical tables are formed on the basis ofpurpose, originality and construction. Keep-ing in view the present pattern of questionsasked in various competitive examinations, wewill restrict ourselves to the study of tabula-tion on the basis of construction.

(i) Simple Tables : A simple table furnishes in-formation about only one single characteris-tic of the data. For example, the population

density per square kilometre in different cit-ies of India, imports of particular commodityfrom various countries during a particularyear etc.

(ii) Manifold Tables : A manifold table gives theinformation of a large number of inter-relatedcharacteristics of a given phenomenon.

(iii) Frequency Distribution Table: The presen-tation of the data can be further condensedinto Classes or Groups to bring out certainsalient features of the data. In this type ofpresentation of the data, all observations aredivided into groups. These groups are calledClasses or Class Intervals. Then, frequencyis shown to its respective class. The numberof times each value occurs is called frequency.This presentation is called Frequency Distri-bution Table.

2) Bar DiagramsBar Diagrams are one of the simplest and themost common devices used for the presen-tation of numerical data. They consist of anumber of equidistant rectangles, one for eachcategory of the data in which the magnitudesare represented by the length or height of therectangles, whereas width of rectangles is ar-bitrary and immaterial. A bar diagram can bedrawn in different forms: horizontal or verti-cal. Bar diagram distinguishes relative mag-nitudes more easily than the Line Graph.

Types of Bar Diagrams(i) Simple Bar Diagram : It is used to repre-

sent only one dependent variable. The valuesof observations are shown by means of barswhich are of equal width but of varyingheights. The magnitudes of variables are rep-resented by the heights of the retangles.

(II) Sub-Divided Bar Diagram: A simple bar dia-gram can represent only one characteristic ata time. This limitation is overcome by sub-divided bar diagrams. These are used to rep-resent the breakdown of a total into its com-ponent parts. First of all a bar representing atotal is drawn. Then it is divided into differ-

ent segments, each segment representing agiven component of the total. An index is givento represent the various components. Differ-ent colours, shades, designs etc. are used todistinguish the various components. The stu-dents must pay attention to the colours andindex provided, otherwise their ignorance willlead to wrong inference.

(iii) Multiple Bar Diagram: It is an extendedform of simple bar diagram. In this type ofdiagram, two or more bars are constructedadjoining each other, to represent either dif-ferent components of a total or to show mul-tiple variables. The bars are grouped together,making possible to draw more than one setof comparisons.

3) Line GraphsGraphs are diagrammatic presentation of nu-merical data. They indicate the variation ofan observation with respect to two param-eters calibrated an the X and Y axes respec-tively. Graphs can be effectively used to studytrends, rates of changes and the relationshipbetween the variables under study.If the graph goes up it shows an increase ora rise in the value of a variable while if thegraph goes down it shows a fall or decrease.If the graph is parallel to X-axis (horizontal),it shows no change.The graphs are always labelled to show whichpart of the graph represents what value.Therefore, head notes, index etc. given shouldbe studied very carefully.

Types of Line Graphs(I) Single Dependent Variable Graph : It is

the simplest form of graph. The values of thedependent variable are plotted on the Y-axis,while the independent variable i.e., time isplotted along the X-axis.

(ii) More than one Dependent Variable Graph:In this type of graph more than one depen-

dent variable are plotted against the indepen-dent variable. The vertical Y-axis is commonto all the variables.

4) Pie DiagramsPie-diagram is a pictorial representation of anumerical data by non intersecting adjacentsectors of the circle such that area of eachsector is proportional to the magnitude of thedata represented by the sector. The wholecircle represents the total and the sectors,individual quantities. The sectors are madeconsidering the fact that the central angle ofcircle is 360°. The central angle, 360° can bedivided in the ratio of quantities given.Each of the component values is expressedeither as percentage or as sectorial angle ofthe respective total.

Solved ExamplesI. Directions (Qs. 1-5) study the following table

and answer the questions given below it.Production of sugar by six major productionunits of India in Million Tonnes

PRODUCTION UNITS

Month A B C D E FApril 310 180 169 137 140 120May 318 179 177 162 140 122June 320 160 188 173 135 130July 326 167 187 180 146 130August 327 150 185 178 145 128

1. In which month the unit B has a contributionof approximately 15% in the total sugar pro-duction?a) August b) Junec) July d) April

2. Which of the following units shows continu-ous increase in production of sugar overmonths?a) A b) Bc) C d) D

3. In the case of Unit E, in which of the follow-ing pairs of months the production of sugarwas equal?a) April & June b) June & Julyc) July & August d) April & May

4. In the month of June, how many units have ashare of more than 25% of the total produc-tion of sugar?a) one b) Threec) Two d) Four

5. What was approximate percentage decreasein sugar production of unit B in June as com-pared to April?a) 8% b) 10%c) 15% d) 18%

Ans:1. (c) Total production in April

= 310+180+169+137+140+120=1056

15% of 1056 = 15

1001056 158 4x .

Total Production in June= 320+160+188+173+135+130= 1106

15% 1106 = 15

1001106 165 9x .

Total production in July= 326+167+187+146+130=1136

15% of 1136 = 15

1001136 170 4x .

Total Production in August= 327+150+185+178+145+128= 1113

15% of 1113 = 15

1001113 166 95 167x .

ie, in Month July, the Unit B has a contribu-tion of approximately 15% in the total sugar pro-duction.2. a) Unit A shows continuous increase in pro-

duction of sugar over months.3. d) In Unit E, the pair of months that shows

equal sugar production is April and May.

4. a) Total Production in June =320+160+188+173+135+130 = 1106

25% of 1106 =25

1001106 276 5x . units

ie, Unit A shows more than 25% of the to-tal production of sugar in the month June.

5. b) In unit B, the production in June = 160 theproduction in April = 180 units

Decrease in percentage

= 180 160

180100 20

180100

x

= 11.11% 10%II. Directions (Qs. 6-10): Study the followinggraph carefully and answer the questions given be-low it:

800850900950

10001050110011501200

Jan Feb Mar Apr May June July Aug

MONTHS

PRIC

E IN

RS

A B

6. What was the price difference between com-modity A and B in the month of April?a) 250 b) 150c) 100 d) 90

7. What was the difference in average price be-tween commodity A and B from April to Au-gust?a) 86 b) 75a) 95 d) 85

8. In which of the following pairs of monthswas the price of commodity A same?a) January - March b) May-Junec) April- August d) July-August

9. What was the approximate percentage de-crease in the price of commodity A fromMarch to April?a) 1 b) 9 c) 14 d) 12

10. What was the percentage increase in price ofcommodity B from January to April?a) 15 b) 20 d) 17 d) 10

Ans6) (b) The price of commodity A in April = 1000

The price of commodity B in April = 1150Difference = 1150 - 1000 = 150

7) (b). Average price of commodity A fromApril to August

= 1000 1050 975 900 1000

5

= 4925

5985

Average price of commodity B fromApril to August

= 1150 1100 1100 1000 950

5

=5300

51060

Difference = 1060 - 985 = 758)(c)Price of commodity A in April = 1000

Price of commodity A in August = 1000Therefore, in April - August the price ofcommodity A was same.

9)(d)Price of commodity A in March = 1125Price of commodity A in April = 1000Decrease

= 1125 1000

1125100 125

1125100

x

= 11.11% 12%

10)(a)Price of commodity B in January = 1000Price of commodity B in April = 1150

Increase = 1150 1000

1000100

= 150 100

100015%x

III Directions (11-15): Study the followinggraph carefully and answer the questionsgiven below it.

PRODUCTION OF FOODGRAIN OVER THEYEARS (1000 TONNES)

11) In the case of how many years was the pro-duction below the average production of thegiven years?a) one b) twoc) three d) four

12) What was the percentage drop in productionfrom 1996 to 1997?a) 100 b) 50c) 65 d) 40

13) In which year was the production 50%of thetotal production in 1993 and 1998 togethera) 1994 b) 1995c) 1996 d) 1997

14. If the production in 1999 will be above theaverage production of the given years, whichof the following could be the minimum pro-duction for 1999?a) 105000 b) 120000c) 100900 d) 130000

15. What was the approximate percentage in-crease in production from 1993 to 1994a) 60 b) 40c) 110 d) 30

1993 1994 1995 1996 1997 1998

80100

130

110120

65

Ans : -11.(c) Average production

= 80 110 100 130 65 120

6

= 605

6

= 100 833. thousand tonnes

= 100900 tonnes

ie. production in 1993, 1995 and 1997 wasbelow the average.

12.(b)Production in 1996 = 130 thousand tonnes.

Production in 1997 = 65 thousand tonnes

decrease=130 65

130

100

= 65

130100x = 50%

13.(b). Total production in 1993 and 1998

= 80+120 = 200

50% of 200 = 50

100200 100x

ie, the production in 1995 was 50% of thetotal production in 1993 and 1998.

14.(c).Average production = 100900 tonnes.

Therefore the minimum production in 1999will be 100900 tonnes

15.(b). Production in 1993 = 80 thousand tonnes.

Production in 1994 = 110 thousand tonnes

Increase

= 110 80

80100

3080

100 40%

x

IV. Directions (Qs. 16-20):- Study the follow-ing graph carefully and answer the ques-tions given below it:

INCOME AND EXPENDITURE OF ACOMPANY OVER THE YEARS

(In lakhs Rupees)

INCOMEEXPENDITURE

Years16. What was the difference in profit between

1995 and 1996?a) Rs. 10 lakhs b) Rs. 5 lakhsc) Rs. 15 lakhs d) No profit

17. In the case of how many years was the in-come more than the average income of thegiven years?a) one b) twoc) three d) four

18. What was the percentage increase in expen-diture from 1996 to 1997?

a) 10 b) 3313

c) 66 23 d) 20

19. The income in 1996 was equal to the expen-diture of which of the following years?a) 1994 b) 1995c) 1997 d) 1998

1994 1995 1996 1997 1998

30

20

50

30

40

30

40

60 60

35

20

40

60

Rup

ees

in L

akhs

20. In which of the following years was theprofit the maximum?a) 1994 b) 1995c) 1996 d) 1998

Ans:-16.(a).Profit in 1995 = 50-30=Rs. 20 lakhs

Profit in 1996 = 40-30 = Rs. 10 lakhs

Difference in profit=20-10=Rs. 10 lakhs

17.(c) Average income

=30 50 40 60 60

5

=240

548

Therefore in 1995, 1997 and 1998, the in-come is more than the average income

18.(b) Expenditure in 1996 = Rs. 30 lakhExpenditure in 1997 = Rs. 40 lakhIncrease

= 40 30

30100

1030

100 3313

x %

19.(c)The income in 1996 was equal to the ex-penditure in 1997 ie Rs. 40 lakhs.

20.(d)The profit is maximum in the year 1998.

V. Directions (Qs. 21-25) The pie-chartdrawn below shows the spendings of acountry on various sports during a par-ticular year. Study the pie-chart carefullyand answer the questions given below it.

PERCENT OF MONEY SPENT ON VARIOUSSPORTS FOR ONE YEAR

21. If the total amount spent on sports duringthe year was Rs. 15000000, the amountspent on cricket and hockey together wasa) Rs. 2500000 b) Rs. 3750000c) Rs. 5000000 d) Rs. 6000000

22. Out of the following, the country spent thesame amount ona) Hockey and Tennisb) Golf and foot ballc) Cricket and Foot balld) Football and Hockey

23. Pie-chart shows that the most popular gameof the country is (on the basis of moneyspent)a) Cricket b) Foot ballc) Basket ball d) Hockey

24. The ratio of the total amount spent on foot-ball to that spent on hockey isa) 1:15 b) 1:1c) 15:1 d) 3:20

25. If the total amount spent on sports duringthe year was Rs. 12000000, how much wasspent on basket ball?a) Rs. 950000 b) Rs. 1000000c) Rs. 1200000 d) Rs. 1500000

Ans:-

21.(d)The amount spent on Cricket and Hockey

= 15000000 40

1006000000x Rs .

22.(d)The country spent the same amount onfootball and hockey

23.(a) The most popular game is cricket24.(b) The required ratio = 15:15 = 1:125.(d) The amount spent on basket ball

= 12000000 12 5

100x .

= Rs. 1500000Hockey

1 5 %

Bas ketball 12.5%

Foot Ball1 5 %

Cricket2 5 %

Tenn is1 0 %

Golf1 2 . 5 %

Others1 0 %

PRACTICE TEST

Directions (Q.1- 5): Study the following tablecarefully and answer the questions given below:

Number of Males and Females Staying in Var-ious Societies

Societies Males FemalesA 250 350B 400 150C 300 275D 280 300E 180 250F 325 300

Percentage of Children (Males and Females) inSocieties

Societies Children Male Children Female ChildrenA 25% 40% 60%B 40% 75% 25%C 16% 25% 75%D 25% 80% 20%E 40% 50% 50%F 24% 46% 54%

1. What is the respective ratio of the number ofadult females to the total number of femalechildren staying in all the societies together ?(1) 243 : 82 (2) 112 : 71(3) 82 : 243 (4) 71:112(5) None of these

2. What is the total number of female childrenstaying in all the societies together ?(1) 314 (2) 433(3) 410 (4) 343(5) None of these

3. What is the respective ratio of the total numberof adult males in Societies A and B together tothe total number of adult males in Societies Eand F together?

(1) 75 : 79 (2) 14 :17(3) 79:75 (4) 17:14(5) None of these

4. What is the total number of members staying inall the societies together ?(1) 3520 (2) 3360(3) 4100 (4) 3000(5) None of these

5. What is the difference between the number ofmale children in Society B and the number ofmale children in Society F ?(1) 84 (2) 14(3) 96 (4) 26(5) None of theseDirections—(Q.6 to 10) Study the followingPie-chart carefully and answer the questionsgiven below:Percentage of People in a city working in NightShifts from various Industries (Total numberof People-40250 )

Banking

14%Sales 8% IT 12%

Gaming 18%

Call Centre32%

Percentage of Females from VariousIndustries Working in Night Shifts

Industries FemalesIT 20%Gaming 20%Call Centre 45%Sales 60%Banking 40%Chemical Industries 15%

6. What is the respective ratio of men to the womenworking in night shifts from the Call Centreindustry?

(1) 9 :11 (2) 7:5

(3) 8:13 (4) 11:7

(5) None of these

7. What is the approximate average number offemales working in night shifts from all theindustries together?

(1) 2227 (2) 4481

(3) 3326 (4) 2823

(5) 4107

8. What is the total number of men working innight shifts from all the industries together ?

(1) 28297 (2) 25788

(3) 28678 (4) 26887

(5) None of these

9. The number of women from the gaming industryare what percent of the total number of peopleworking in the night shifts from all the industriestogether ?

(1) 5.6 (2) 3.6

(3) 3.2 (4) 4.4

(5) None of these

10. What is the difference between the total numberof men and the total number of women workingin night shifts from all the industries together ?

(1) 13254 (2) 13542

(3) 13524 (4) 13363

(5) None of theseDirections-(Q. 11 to 15) Study the followingtable carefully and answer the questionsgiven below:

Number of People Working in VariousDepartments from Various Organisations

Departments OrganisationsA B C D E

HR 1050 1015 976 888 1004Finance 1017 960 786 1025 963Marketing 1382 1384 1275 1300 1290Production 1542 1545 1550 1570 1580Accounts 786 745 801 800 735Legal 48 54 36 30 53

11. The total number of employees working in thelegal department are approximately what per centof the total number of employees working inHR department of all the organizations together?(1) 4 (2) 8 (3) 12 (4) 6 (5) 10

12. What is the approximate difference between theaverage number of people working in Marketingand Production departments from all theorganization together?(1) 578 (2) 231 (3) 330 (4) 1156 (5) 300

13. What is the respective ratio of the total numberof employees working in organization A to thetotal number of employees working inorganization E?(1) 225:233 (2) 71: 75(3) 75 : 71 (4) 233 : 215(5) None of these

14. What is the total number of employees from allthe departments working in all the organizationstogether?(1) 26960 (2) 28910(3) 28190 (4) 29660(5) None of these

15. The number of people working in the Financedepartment from organization B are approximatelywhat per cent of the total number of employeesworking in organization B ?(1) 12 (2) 15 (3) 20 (4) 17 (5) 25

Directions-(Q. 16 to 20) Study the followingdata carefully and answer the questionsgiven below:

Out of a total number of commuterscommuting daily in a city, 17,171 commuterscommute only by trains daily. 7359 commuterscommute only by bikes and 22,077 commutersonly by bus. 14,718 commuters commute onlyby their private cars and 4,906 commuterscommute only by autos. 7,359 commuterscommute only by taxis. 26,983 commuterscommute by bus as well as trains daily. 9,812commuters commute by autos as well as trainsdaily. 12,265 commuters commute by bus aswell as autos daily.

16. The total number of commuters commuting bytrains form what per cent of the total numberof commuters commuting daily ?(1) 22 (2) 44 (3) 14(4) 36 (5) None of these

17. The total number of commuters commuting byautos form what per cent of the total numberof commuters commuting daily ?(1) 10 (2) 18 (3) 22(4) 4 (5) None of these

18. The total number of commuters commuting bybikes and taxis together form what per cent ofthe total number of commuters commutingdaily?(1) 12 (2) 6 (3) 8(4) 16 (5) None of these

19. What is the total number of commuters in thecity commuting daily?(1) 122650 (2) 126250(3) 162250 (4) 152260(5) None of these

20. The number of commuters commuting onlyby bus form what per cent of the total numberof commuters commuting daily ?(1) 40 (2) 22 (3) 32(4) 18 (5) None of these

Directions-(Q. 21 to 25) Study the followinggraph carefully and answer the questionsgiven below:Units of Raw Material Manufactured and Soldby a Company Over the Years (units in crores)

012345678

2003 2004 2005 2006 2007

Manufactured Sold

21. What is the average number of units sold overthe years ?(1) 440000000 (2) 4400000(3) 440000 (4) 44000000(5) None of these

22. What is the respective ratio of the differencebetween the number of units manufactured andsold in the year 2005 to the difference betweenthe number of units manufactured and sold inthe year 2006?(1) 2 : 3 (2) 1: 2 (3) 1: 4(4) 3 : 5 (5) None of these

23. What is the respective ratio of the number ofunits manufactured in the year 2003 to thenumber of units manufactured in the year 2007?(1) 7:11 (2) 9 :14 (3) 7:9(4) 9 :11 (5) None of these

24. What is the approximate per cent increase inthe number of units sold in the year 2007 fromthe previous year ?(1) 190 (2) 70 (3) 60(4) 95 (5) 117

25. What is the difference between the number ofunits manufactured and the number of units soldover the years ?(1) 50000000 (2) 5000000(3) 500000000 (4) 500000(5) None of these

Directions-(Q. 26 to 30) Study the followingtable carefully and answer the questionsgiven below:

Dozens of Eggs produced by various PoultryFarms over the years

Years Farms

A B C D E F

2000 420 360 396 528 492 444

2001 564 492 576 612 576 540

2002 588 612 624 648 576 564

2003 600 660 648 636 612 600

2004 648 708 684 672 660 672

2005 732 744 720 756 708 720

26. What is the average number of eggs producedby Farm D over the years ?(1) 7704 (2) 7526(3) 7732 (4) 7609(5) None of these

27. The eggs produced by Farm B in the year 2003are approximately what per cent of the eggsproduced by Farm B over the years ?(1) 24 (2) 18 (3) 21(4) 3 (5) 15

28. What is the respective ratio of the dozens ofeggs produced by Farm A to Farm E in the year2005?(1) 60 : 61 (2) 61: 63(3) 60 : 63 (4) 63 : 61(5) None of these

29. What is the respective ratio of the dozens ofeggs produced by Farms A, B and C together inthe year 2000 to the dozens of eggs producedby Farms D, E and F together in the same year?(1) 49 : 64 (2) 51: 61(3 49 : 61 (4) 51: 55(5) None of these

30. What is the difference between the total numberof eggs produced by all the farms together inthe year 2001 and the year 2004 ?

(1) 8200 (2) 8280

(3) 8028 (4) 8208

(5) None of these

Directions-(Q. 31 to 35) Study the followinggraph carefully and answer the questionsgiven below :

Number of Computers Manufactured and Soldby Various companies Over the Years

(Number in Lakhs)

00.5

11.5

22.5

33.5

44.5

P Q R S T

Companies

No.

of C

ompa

nies

Manufactured Sold

31. Which of the following statements is true ?(1) The number of computers sold by Company

R are 50 per cent of the number ofcomputers manufactured by it.

(2) The average number of computersmanufactured by Companies R, S and Ttogether is 475000.

(3) The respective ratio of the number ofcomputers sold by Company P to CompanyQ is 3:7.

(4) The difference between the number ofcomputers manufactured and the numberof computers sold by Company S is 50000

(5) The total number of computers sold by allthe companies together is 1375000

32. What is the respective ratio of the number ofcomputers manufactured by Companies R andS together to the number of computers sold byCompanies R and S together ?(1) 29 : 26 (2) 9 : 10(3) 31: 28 (4) 11 : 13(5) None of these

33. The number of computers manufactured byCompany T are approximately what per cent ofthe number of computers manufactured byCompany R?(1) 58 (2) 52 (3) 60 (4) 56 (5) 64

34. The number of computers sold by CompanyQ are what per cent of the number ofcomputers manufactured by Company Q ?(1) 65 (2) 60 (3) 75(4) 50 (5) None of these

35. What is the difference between the averagenumber of computers manufactured by all thecompanies together and the average number ofcomputers sold by all the companies together ?(1) 45000 (2) 40000(3) 50000 (4) 35000(5) None of theseDirections—(Q. 36 to 40) Study the followinggraph carefully and answer the questions givenbelow.

Number of Students from various AgeGroups studying in various Schools

0

500

1000

1500

2000

2500

3000

3500

4000

H I J KSchoo ls

4-7 Years 8-11 Years 12-15 Years

36. What is the approximate difference between theaverage number of students in the age group of4-7 years from all the schools and the averagenumber of students in the age group of 12-15years from all the schools ?

(1) 60 (2) 58 (3) 66

(4) 68 (5) 63

37. The total number of students studying in schoolH is what percent of the total number ofstudents studying in school I ? (Rounded off totwo digits after decimal)

(1) 85.16 (2) 84.32

(3) 88.88 (4) 86.11

(5) None of these

38. The number of students studying in school J inthe age group of 12-15 years are approximate-ly what percent of the total number of studentsin other age groups together from the sameschool?

(1) 32 (2) 41 (3) 28

(4) 37 (5) 47

39. What is the approximate average number ofstudents studying in all the schools together?

(1) 8329 (2) 8313 (3) 8317

(4) 8309 (5)8333

40. What is the respective ratio of the number ofstudents in the age-group of 8-11 years studyingin schools H and I together to the number ofstudents from the same age-group studyingin schools J and K together?

(1) 27 : 23 (2) 27:25

(3) 25 : 23 (4) 23 : 21

(5) None of these

Directions—(Q. 41 to 45) Study the followingtable carefully and answer the questions givenbelow :

Percentage distribution of students in variousDisciplines from five different colleges

Colleges DisciplinesArts Commerce Science Total

number ofstudents

A 25 35 40 17500B 15 45 40 25000C 15 30 55 35300D 28 48 24 23000E 29 30 41 32400

41. What is the respective ratio of the number ofstudents from the discipline of Arts andCommerce together from college A to thenumber of students from the same disciplinesfrom college B ?(1) 6 :11 (2) 7 : 9 (3) 2:3(4) 7:10 (5) None of these

42. What is the difference between the totalnumber of students from the discipline of Artsfrom all the colleges together and the totalnumber of students from the discipline ofScience from all the colleges together ?(1) 22874 (2) 23863(3) 22963 (4) 23874(5) None of these

43. What is the average number of students fromthe discipline of Commerce from all the collegestogether?(1) 9745 (2) 9735(3) 9720 (4) 9750(5) None of these

44. Which college has the least number of studentsfrom the discipline of Science ?(1) A (2) C (3) E(4) D (5) None of these

45. The number of students from the discipline ofArts from college D are approximately what per

cent of the number of students from the disciplineof Commerce from the same college?(1) 61 (2) 58 (3) 53(4) 63 (5) 49Directions (Q. 46-50): Study the following pie-chart carefully and answer the questions givenbelow:

Total no. of peoples = 30,000

Vegetables30%

Bread20%

Salad15%

Sprouts13% Fruits

11%

Meat 6%

Fish 5%

46. What is the total number of people preferringvegetables and those preferring sprouts?1) 11,900 2) 12,3003) 12,500 4) 11,5005) None of these

47. What is the difference between the total numberof people prefferring meat to the total numberof people preferring fish?1) 150 2) 200 3) 3004) 350 5) None of these

48. People preferring fruits are approximately whatper cent of the people preferririg vegetables?1) 48 2) 35 3) 46 4) 37 5) 30

49. Out of the total sample population, how manypeople have given preference for fish?1) 1600 2)1800 3) 15004) 1400 5) None of these

50. What is the ratio of the number of peoplepreferring meat to the number of peoplepreferring salad?

1) 2 : 5 2) 3 : 5 3) 2 : 34) 4 : 3 5) None of these

Directions (Q. 51-55): Study the followinggraph carefully to answer these questions.

0

50

100

150

200

250

300

1997 1998 1999 2000 2001 2002 2003

Years

Pro

duct

ion

in L

akh

Tonn

es

x y

51. For which of the following pairs of years thetotal production of the two commodities togetheris equal?1) 1997 & 2000 2) 2002 & 20033) 200l & 2003 4) 1998 & 19995) None of these

52. What is the ratio between the total productionof commodities X and Y for all the seven yearstogether?1) 26 : 27 2) 13 : 143) 27 : 26 4) 14 : 135) None of these

53. During which year the percentage increase/decrease in production of commodity ‘X’ fromthe previous year was the maximum?1) 1998 2) 2000 3) 20034) 2002 5) None of these

54. Approximately, what was the averageproduction (in lakh tonnes) of commodity Y’?1) 225 2) 216 3) 1954) 185 5) 205

55. What is the ratio between total production ofthe two commodities together for years 1997,1998 & 1999 and the total production of thetwo commodities together for years 2001, 2002& 2003?1) 9 : 13 2) 13 : 18 3) 18 : 13

Directions (Q. 56-60): Study the following tablecarefully to answer these questions.

Subject Marks obtained out of History Geogra­ Science Maths English HindiStudent (75) phy (75) (120) (150) (80) (60)P 45 53 100 117 50 45

Q 56 58 96 132 46 50

T 48 60 112 120 52 42

D 62 67 88 108 48 34

G 66 55 92 140 60 32

F 54 64 108 116 53 40

56. What is the average percentage of marksobtained by all the students in Science? (roundedoff to two digits after decimal)1) 99 2) 82.78 3) 88.724) 78.88 5) None of these

57. What is the overall percentage of marks obtainedby D in all subjects? (rounded off to two digitsafter decimal)1) 72.88 2) 76.28 3) 73.174) 72.685) None of these

58. What are the average marks obtained by allstudents in English ?1) 52.5 2) 64.38 3) 56.384) 60.5 5) None of these

59. What is the ratio between total marks obtainedin all subjects by F and G respectively ?1) 87 : 89 2) 89 : 873) 67 : 69 4) 69 : 675) None of these

60. Which student has scored in Maths closest tothe average marks in Maths?1) P 2) Q 3) T4) F5) None of these

Directions (Q. 61-65): Study the table carefullyto answer the questions that follow.

StandardSchool I II III IV V VI

A 42 54 48 58 50 38B 50 60 58 45 45 46C 40 48 58 46 42 54D 45 55 46 40 52 50E 48 55 44 55 52 48F 52 52 54 42 60 54

61. Which standard has the lowest total number ofstudents from all the given schools together?1) V 2) VI3) 1 4) IV5) None of these

62. Which school has the highest total number ofstudents from all the given standards together?1) E 2) F3) B 4) A5) None of these

63. What is the ratio of students studying inStandard III of Schools A and B together tothose studying in standard VI of schools C andD together?1) 53 : 52 2) 43 : 473) 25 : 27 4) 39 : 385) None of these

64. What is the approximate average number ofstudents studying in Standard I from all schoolstogether ?1) 38 2) 503) 40 4) 435) 46

65. The number of students studying in StandardIV in School E is what per cent of that inStandard IV in School D?1) 128 2) 132.53) 124 4) 137.55) None of these

Directions (Q. 66-70): Study the pie-chartcarefully to answer the questions that follow.

Percentage of students enrolled in differentHobby classes in a School.

Total number of students = 3600

Stitching

Classes 11%Singing

Classes 18%

CookingClasses 22%

DancingClasses 21%

PaintingClasses 15%

Drama

Classes 1

3%

66. The number of students enrolled in CookingClasses is what per cent of that in DancingClasses? (rounded off to two digits after decimal1) 101.45 2) 104.763) 113.84 4) 110.285) None of these

67. What is the total number of students enrolled inStitching and Drama Classes together ?1) 684 2) 8463) 648 4) 8645) None of these

68. How many students are enrolled in PaintingClasses?1) 550 2) 4803) 450 4) 5205) None of these

69. The number of students enrolled in PaintingClasses is approximately what per cent of thatin Singing classes?1) 78 2) 923) 83 4) 665) 72

70. What is the ratio of the number of studentsenrolled in Singing and Dancing classes togetherto that in Drama classes?1) 3 : 1 2) 4 : 73) 7 : 5 4) 3 : 55) None of these

Directions (Q. 71-75): Study the table carefullyto answer the questions that follow.Percentage of men employed in five differentdepartments of different organisations

Organi­ Total Departmentsation Number HR Mark­ Produ­ Acc­ IT

of Empl- eting ction ountsoyees

A 2600 53 66 83 67 80B 1750 28 72 94 36 82C 3000 62 61 91 43 81D 2400 64 79 79 66 47E 1900 42 83 87 74 57

71. What is the average number of men working inthe Accounts department of all organisationstogether ?

1) 162415 2) 1450

25

3) 174815 4) 1330

25

5) None of these72. What is the total number of men employed in

the Production department of all organisationstogether?1) 11245 2) 102603) 10082 4) 98255) None of these

73. Which organisation has the lowest number ofmen working in the Marketing department?1) A 2) B 3) C4) D 5) E

74. The number of men in the IT department ofCompany D forms approximately what per centof that in the same department of Company B?1) 68 2) 85 3) 904) 62 5) 79

75. What is the total number of women working inthe HR department and IT department togetherfrom Company C ?1) 1710 2) 18403) 2730 4) 20505) None of these

Directions (Q. 76-80) : Study the graphcarefully to answer the questions that follow.

Profit (in lakhs) made by three companiesover the years Profit = Income - Expenditure

0123456789

2001 2002 2003 2004 2005 2006

Years

Pro

fit (i

n la

khs)

Company A Company B Company C

76. Profit made by Company A in the year 2002was what per cent of the total profit made byall the three companies in that year?1) 31.25 2) 28.243) 21.43 4) 36.255) None of these

77. If the income of Company A in the year 2005was Rs 13,54,300/-, what was its expenditurein that year?l) Rs 9,21,600/- 2) Rs 8,33,500/-3) Rs 6,48,200/- 4) Rs 7,54,300/-5) None of these

78. What is the approximate average profit madeby Company A in all the years together ?l) Rs 3,98,000/-2) Rs 3, 82,000/-3) Rs 4,83,000/-4) Rs 5,12,000/-5) Rs 4,05,000/-

79. What is the per cent increase in profit ofCompany C in the year 2002 from the previousyear ?1) 7 2) 143) 21 4) 285) None of these

80. If the expenditure of Company B in the year2006 was Rs 22,11,430/- what was its incomein that year ? l) Rs 29,12,260/- 2) Rs 28, 14,680/-3) Rs 32,09,670/- 4) Rs 27, 11, 430/-5) None of theseDirections—(Q. 81 to 85) Study the followinggraph carefully and answer the questions givenbelow it.Production of Six Types of Passenger CarsProduced by a Manufacturer for Two Years(in Thousands)

81. For which type of car was there a highest percent decrease in production from 2005 to 2006?(1) B (2) C (3) E(4) F (5) None of these

82. What was the difference in the number of Btype cars produced by the manufacturersbetween 2005 and 2006 ?(1) 5,000 (2) 20,000(3) 10,000 (4) 2,500(5) None of these

83. The number of D type cars produced in 2005Was approximately what per cent of the numberof E type cars produced in 2006 ?

(1) 94 (2) 90 (3) 85(4) 105 (5) 100

84. For which type of car was there a highest percent increase in production from 2005 to 2006?(1) A (2) B (3) E(4) F (5) None of these

85. The total production of which of the followingtypes of cars in 2006 was exactly equal to theproduction of E type cars in 2005 ?(1) B and A (2) B and E(3) E and D (4) F and C(5) None of these

Directions—(Q. 86 to 90) Study the following tablecarefully and answer the questions given below—

Marks Obtained by Six Students in FiveSubjects

Stud- Subjectsents Phy- Mathe- Chem- Biol- Engl- Total

sics matics istry ogy ish (700)(Max. (Max. (Max. (Max. (Max.Marks Marks Marks Marks Marks100) 200) 150) 100) 150)

A 60 130 75 45 60 370B 75 124 90 62 90 441C 55 108 85 59 132 439D 65 165 108 48 116 502E 80 114 124 64 98 480F 64 144 98 54 106 466

86. Approximately what percentage of marks didD get in English ?(1) 77 (2) 70 (3) 68(4) 90 (5) 85

87. Marks obtained by B in Physics and Biologytogether were approximately what per cent ofthe total marks obtained in all the five subjectstogether ?(1) 47 (2) 58 (3) 35(4) 60 (5) 65

88. In which of the following subjects did C getmore than sixty per cent marks ?(1) Biology and English only(2) English only(3) Biology only(4) Physics and English only(5) None of these

89. In which of the following subjects did F getless than sixty per cent marks ?(1) Biology and English only(2) Physics and English only(3) Physics and Biology only(4) Biology only (5) None of these

90. Which of the following students did get morethan sixty five per cent marks in total of all thesubjects together ?(1) D and A only (2) E and B only(3) D and C only (4) C and F only(5) None of theseDirec tions—(Q . 91 to 95) Theseques tions ar e ba sed on the fol lowinginformation. Study it carefully and answerthe questions—In a group of 60 boys, all the boys play atleast one game out of Hockey, Football andVolleyball. One-third of the boys play onlyHockey, 25% play only Football and 20%play only Volleyball . 5 boys play bothHockey and Volleyball, 4 boys play bothHockey and Football, 2 boys play bothFootball and Volleyball, 2 boys play all thethree games.

91. Total how many boys play Volleyball?(1) 17 (2) 16 (3) 21 (4) 23(5) None of these

92. How many boys play either Football or Hockeyor both ?(1) 48 (2) 42 (3) 27(4) 31 (5) None of these

93. How many boys play Hockey but not Football?(1) 31 (2) 20 (3) 25 (4) 33 (5) None of these

94. What is the total number of boys in the groupwho do not play Volleyball ?(1) 20 (2) 39 (3) 35 (4) 43 (5) None of these

95. How many boys play only one game ?(1) 35 (2) 48 (3) 32 (4) 47 (5) None of theseDirections-(Q. 96 to100) These questions arebased on the data provided separately for eachquestion.

96. Approximately what is the per­centage rise intotal production of the three companies togetherfrom 2005 to 2006 ?

Production (in lakh tonnes) of 3companies in 2005 and 2006

Year CompanyI II III

2005 169 129 872006 185 132 110

(1) 18 (2) 22 (3) 8

(4) 15 (5) None

97. During which year was the percentageincrease in income from the previous yearthe highest?

Income of a company over the year

0

50

100150

200250

300

2001 2002 2003 2004 2005

Years

(1) 2004 (2) 2003 (3)2005

(4) 2003 and 2005

(5) 2002 and 2005

98. What is the ratio between the number of Girlsin Class X and Class VIII respectively ?

Details of No. of StudentsRatio Total no.

Class Boys : Girls of StudentsX 3 : 4 105IX 5 : 4 108VIII 6 : 7 104VII 8 : 7 105

(1) 15 :14 (2) 8 : 7 (3) 9:7(4) 16:15 (5) None of these

99. Total population of these five states in 2002is how much more/less than the population in2001?

Population (in lakhs) of 5 statesin 2001 and 2002

0

25

50

75

100

A B C D E

States

2001 2002

(1) 12.5 lakhs less (2) 10.5 lakhs less(3) 12.5 lakhs more (4) 10.5 lakhs more(5) None of these

100. Which institute has the highest percentage ofcandidates qualified over appeared ?

Number of candidates Appeared andQualified from five Institutes

Appeared QualifiedA 1500 875B 800 520C 1200 750D 1600 900E 1100 650

(1) A (2) B (3) C(4) D (5) E

Answers & Explanations

Male Female Total Chil- Male- Female-dren Children Children

A 250 350 600 150 60 90B 400 150 550 220 165 55C 300 275 575 92 23 69D 280 300 580 145 116 29E 180 250 430 172 86 86F 325 300 625 150 69 81Total 1735 1625 3360 929 519 410

1. (1) Reqd. ratio = 1215 : 410 = 243 : 82

2. (3)

3. (4) Reqd. ratio= (190 + 235) : (94 + 256)= 425 : 350 = 17 : 14

4. (2) Reqd. number = 33605. (3) Reqd. difference

= 165 - 69 = 966. (5) Reqd. ratio = 55 : 45 = 11 : 97. (1) Reqd. average

=

10045

10032

10020

10018

10020

10012

640250

10015

10016

10040

10014

10060

1008

= 402506 10000

240 360 1440 480 560 240

= 40250 3320

60000

= 2227

8. (4) Reqd. number

= 40250 12 80100 100

18 80100 100

32 55100 100

+

8 40

100 10014 60

100 10016 85

100 100

= 4025010000

960 1440 1760 320 840 1360

= 4025010000

6680 26887

9. (2) No.of people working in night shifts = 40250No. of women working in gaming

20100

18100

40250

Reqd.% = 20 18 40250

100 100100

40250

= 3.6

10. (3) No. of women = 40250 -26887 = 13363 Reqd. difference= 26887 - 13363 = 13524

11. (1) No. of employees working in legal deptt.= 48 + 54 + 36 + 30 + 53 = 221 and no. ofemployees working in H.R.= 1050 + 1015 + 976 + 888 + 1004 = 4933

Reqd. % =221 100

4933

= 4 (App.)

12. (2) Average number of people working inmarketing deptt.= 1382 +1384 +1275 + 1300 + 1290 5= 1326.2Average number of people working in produc-tion deptt. = 1542 + 1545 + 1550 + 1570 + 1580 5

= 1557.4 Reqd. difference=1557.4 -1326.2=231(App.)

13. (5) No.of employees working in organisation A= 1050 +1017+1382 + 1542 +786 +48 = 5825No. of employees working in organization E= 1004 + 963 +1290 + 1580 +735+53 = 5625 Reqd. ratio = 5825 : 5625 = 233 : 225

14. (3) Total no. of employees from all the depart-ments= 5825 + 5703 + 5424 + 5613 + 5625 = 28190

15. (4) Reqd. % = 960 100

5703

= 17(app.)

16. (2) No. of commuters commuting by train= 17171 + 26983 + 9812 = 53966

and no. of total commuters commuting by train122650.

Reqd. % =53966 100

122650

= 44%

17. (3) No. of commuter commuting by autos= 4906 + 9812 + 12265 = 26983

Reqd. % = 26983 100

122650

= 22%

18. (1) Reqd. % = ( )7359 7359 100

122650

= 12

19. (1)

20. (4) Reqd.% = 22077 100

122650

= 18%

21. (4) Average(3.5 + 4 + 5 + 3 + 6.5) × 1,000,0000 5= 44,000,000

22. (3) Reqd. ratio = 55 55 3. =

0 52.

= 1 : 4

23. (2) Reqd. ratio = 4.5 : 7 = 9 : 14

24. (5) % increase = 0.3100)0.35.6(

=35 100

3.

= 117 (App.)

25. (1) Reqd. diff.= (4.5 +5 + 5.5 +5 +7) -(3.5 +4 +5+3 + 6.5)= Rs. (27-22) crore = Rs. 50000000

26. (1) Reqd. average number= 528 + 612 + 648 + 636 + 672 + 756

6

=3852

6 = 642 dozen = 7704

27. (2) Reqd. % =660 100

3576

= 18 (App.)

28. (5)Reqd. ratio = 732 : 708 = 61 : 59

29. (3) Reqd. ratio = 420 360 396528 492 444

= 11761464 = 49 : 61

30. (4) Reqd. difference= (564 + 492 + 576 + 612 + 576 + 540) ~(648 + 708 + 684 + 672 + 660 + 672)= 3360 ~ 4044 = 684 dozen = 8208

31. (5) Total no. of computers sold by all compa-nies together = (3.25 + 1-5 + 3-5 + 3.5 + 2)Lakhs= 1375000

32. (3) Reqd. ratio= (4 + 3.75):(3.5 + 3.5) = 7.75:7.00= 31: 28

33. (4) Reqd. % = 2 25 100

4.

= 56.25 = 56 (App.)

34. (2) Reqd. % = 15 100

2 560.

.

35. (1) Reqd. difference

=35 2 5 4 375 2 25

5. . . .

~3 25 15 35 35 2

5. . . .

= (3.2 - 2.75) lakhs = 0.45 lakhs = 4500036. (5) Reqd. difference

2000 3000 2500 3000

4

~2250 3250 1750 3500

4

= 2625 ~ 2687.5 = 63 (App.)37. (4) Reqd. %

= ( )2000 3500 2250 100

3000 2750 3250

=775000

9000 = 86.111

38. (1) Reqd. % = 1750 100

2500 3000

= 175000

5500 = 32 (App.)

39. (2) Reqd. average number2000 + 3500 + 2250 + 3000 + 2750 + 3250 +2500 + 3000 + 1750 + 3000 + 2750 + 3500

4

= 33250

4 = 8313 (Apps.)

40.(3) Reqd. ratio= (3500 + 2750) : (3000 + 2750)= 6250 : 5750 = 25 : 23

41.(4) Reqd. ratio

( )

( )

25 35100

17500 100

15 45100

25000 100

= 7 : 10

42. (5) Reqd. difference

=( ) ( )40 25 17500

10040 15

100

25000 +( )55 15

100

35300 28 24 23000100

41 29100

32400( ) ( )

= 2625+6250+14120 + 920 + 3888 = 2780343. (1) Reqd. average

35100

17500 45100

25000 30100

35300 48100

23000 30

10032400 1

5

= 6125 + 11250 + 10590 + 11040 + 97205

= 48725

5 = 9745

44. (4) No. of students in Science of A

=40 17500

100

=7000

No. of student in Science of B

=40 25000

100

=10000

No. of students in Scince of C

=55 35300

100

=19415

No. of students in Scince of

D=24 23000

100

=5520

No. of students in Scince of E

=41 32400

100

=13284

45. (2) Reqd. %

= 28

10023000 100

48100

23000

= 58 (App.)46. 5; No. of people preferring vegetables

= 30,000 × 30% = 9000No. of people preferring sprouts

= 30,000 × 13% = 3900Required total no. = 9000 + 3900 = 12,900

47. 3; Difference between the total no. of peoplepreferring meat, to the total no. of people pre-ferring fish = 30,000 × (6% - 5%) = 300

48. 4; No. of people preferring fruits

= 30,000 × 11% = 3300.No. of people preferring vegetables = 9000.

Required %=33009000

100 =36.66 = 37(approx).

49. 3; No. of people preferring fish = 30,000 × 5%= 1500

50. 1; No. of people preferring meat = 30,000× 6%= 1800

No. of people preferring salad= 30,000 × 15 % = 4500

Required ratio = 18004500 = 2: 5

51. 4; Total production of two commodities togetherin 1998 = 175 + 175 = 350.Total production of two commodities togetherin 1999 = 150 + 200 = 350.

52. 1; Total production of ‘X’ for all the seven yearstogether= 125 +175 +150+175+225+200+250 = 1300Total production of ‘Y’ for all the seven yearstogether= 150+175 + 200+150+250+225+200 = 1350

Required ratio = 13001350

2627

26 27 :

53. 1; In 1998, % increase in production of com-

modity X = ( )175 125

125100

=50 100

12540%

which is maximum.54. 3; Avg production (in lakh tonnes) of commod-

ity ‘Y’ = 1350

7192 85 . = 195 (Approx.)

55.2; Total production of the two commodi-ties together for years 1997, 1998 & 1999 =125 + 150 + 350 + 350 = 975Total production of the two commodities to-gether for years 2001, 2002 and 2003= 225 + 250 + 200 + 225 + 250 + 200= 450 + 500 + 400 = 1350

Required ratio = 975

1350 = 13: 18

56. 2; Total marks obtained by all the students inScience100120 × (100 + 96 + 112 + 88 + 92 + 108)

= 100120 × 596,average percentage of marks

obtained in science 596120100

61

= 82.77

= 82.78 (approx.)57. 5; Total marks obtained by D in all subjects

62 43

67 43

88 1012

108 23

48 54

34 53

= 82.66 + 89.11 + 73.30 + 72 + 60 + 56.66

= 43373

672 28%. .

58. 2; Avg. marks obtained by all students in English

=10080

50 46 52 48 60 53

6

( )

=386 25

6.

= 64.375 = 64.38 (approx.)

59. 1; Total marks obtained in all subjects byF =54 + 64 + 108 + 116 + 53 + 40 = 435total marks obtained in all subjects by G= 66 + 55 + 92 + 140 + 60 + 32 = 445

Required ratio = 435445 = 87 : 89

60. 3; Avg. marks in Maths = 7336 = 122 (approx.)

61. 3 62. 263. 5; Required ratio = 106 : 86 = 53 : 4364. 5; Average no. of students in standard 1

=277

6 = 46.16 = 46 (approx).

65. 4; Required% = 55 100

40137 5%

.

66. 2; No. of students enrolled in cooking classes= 3600 × 22% = 792

No. of students enrolled in dancing classes= 3600 × 21% = 756

Required % = 792 100

756

= 104.76%

67. 4; No. of students enrolled in stitching classes= 11% of 3600 = 396

No. of students enrolled in drama classes

= 13% of 3600 = 468Required total number = 396 + 468 = 864

68. 5; No. of students enrolled in painting classes= 15% of 3600 = 540

69. 3; No. of students enrolled in singing classes= 18% of 3600 = 648

No. of students enrolled in painting classes = 540

Required % = 540 100

648

= 83.33= 83(approx)

70. 1; Total no. of students enrolled in singing +dancing classes = 648 + 756 = 1404No.of students enrolled in drama classes= 468Required ratio = 1404 : 468 = 3 : 1

71. 4; Total no. of men working in accounts de-partment of (A + B + C + D + E) organiza-tion

= 1742 + 630 + 1290 + 1584 + 1406 = 6652

Required average = 1330 52

72. 3; Total no. of men employed in the productiondepartment of all organisations together =2158 + 1645 + 2730 + 1896 + 1653 = 10082

73. 2; Number of men working in the marketingdepartment in Organisation B

= 1750 × 72% = 1260.

74. 5; Required %=1128 100

1435

= 78.60%

= 79% (approx)75. 1; Total no. of women in (HR + IT) depart-

ment of company C = 1 140 + 570 = 1710.76. 1; Profit made by company A in the year 2002

= 5 lakhsTotal profit made by all the three companiesin the year 2002 = 16 lakhs

Required % = 5

16 × 100 = 3 1.25

77. 4 78. 3 79. 280. 5; Income = Rs 26,11,43081. (3) 82. (4) 83. (5) 84. (4) 85. (2) 86. (1)87. (3) 88. (2) 89. (4) 90. (5) 91. (3) 92. (5)93. (3) 94. (2) 95. (4) 96. (5) 97. (3) 98. (1)99. (3) 100. (2)