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Practice Exercise 1

Directions (Q. 1-14): The following line chart shows the ratio of export to import of five compa-nies A, B, C, D and E in years 2000 to 2004.

00.250.5

0.751

1.251.5

1.752

2.252.5

2.75

2000 2001 2002 2003 2004Year

Rat

io

A

B

C

D

E

The following Radar graph shows the projected % increase in export in year 2005 with respect to2004. (It is assumed that the import in year 2005 is equal to the import in year 2004.)

0

20

40

60

80A

B

CD

E

1. In which year was export of company E the maximum?1) 2000 2) 2002 3) 2003 4) Cant say

2. The difference between export and import of company D is the maximum in the year1) 2000 2) 2001 3) 2002 4) Cant say

3. In year 2003 the difference between export and import is minimum of company1) A 2) D 3) C 4) Cant say

4. The export of company A in year 2001 is what percentage more/less than that in year 2000?1) 24% less 2) 17% more 3) 11% less 4) Cant be determined

5. The export of company C is twice that of company D in year 2001. The import of company D in year2001 is 70 million more than the export. The import of company C in year 2001 is1) 280 million 2) 220 million 3) 240 million 4) 180 million

6. The trade deficit of company B in year 2003 is 75% more than the trade deficit of company A. Theratio of import of company B to that of company A in year 2003 is1) 13 : 5 2) 4 : 9 3) 6 : 3 4) 7 : 2

7. If the ratio of export of company E in 2003 to that in 2004 is 4 : 5, the combined ratio of export to

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import of company E in year 2003 and 2004 together is1) 30 : 19 2) 17 : 9 3) 34 : 13 4) 29 : 16

8. The total transactions (export + import) of companies A, B and C in year 2004 are in the ratio 3 : 4: 2. The export and import of companies A, B and C in year 2004 together are in the ratio of1) 334 : 213 2) 226 : 179 3) 174 : 97 4) None of these

9. The ratio of export to import of company C in year 2005 as per the projection is1) 6 : 7 2) 6 : 5 3) 4 : 3 4) 4 : 5

10. Total transaction (ie export + import) of company E in year 2003 is %3133 lower than the total

transaction of company E in year 2004. Then the ratio of export to import of company E in the year2003 and 2004 together is1) 28 : 17 2) 17 : 28 3) 27 : 17 4) 3 : 2

11. If the projected growth in export of company C and company D together in year 2005 is 40% withrespect to the previous year, the ratio of export to import of company C and D together in year 2004is1) 9 : 15 2) 7 : 10 3) 9 : 11 4) 5 : 6

12. As per the projection, how many companies have the import more than the export in 2005?1) 2 2) 1 3) 3 4) None

13. If the exports of companies C, D and E in year 2004 are in the ratio 1 : 3 : 2, the overall % increasein the export of company C, D and E as per the projected percentage increase in 2005 is1) 48.3% 2) 54.6% 3) 57.8% 4) 64.8%

14. If the difference between export and import of company A is 60% more than that between exportand import of company B in year 2004, the difference between export and import of company B iswhat % more/less than that of company A in year 2005?1) 7.5% less 2) 11.6% more 3) 15% less 4) 17.4% more

Directions (Q. 15-18): The following pie-charts show the revenue (income) and profit of MG Fi-nance for the financial year 2004-05.

Share of Revenue (income)

Tube Investments

25%

EID Parry12%Fertilisers

45%

Others12%

Carborun-dum

Universal6%

Share of Profit

Tube Investments

23.0%

EID Parry23.0%

Fertilisers22.0%

Others22.5%

Carborun- dum

Universal9.5%

15. The profit from Tube Investments is what % more than the profit from Fertilisers?1) 4.5% 2) 5.5% 3) 6.6% 4) Cant be determined

16. The expenditure of Fertilisers is what % more than the expenditure of Tube Investments?1) 24% 2) 36% 3) 48% 4) Cant be determined

17. The minimum expenditure of MG Finance is in1) Fertilizers 2) Others3) Carborundum Universal 4) Cant be determined

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18. If the total revenue of the company in the financial year 2004-05 is Rs 6250 crores and the totalprofit of the company is Rs 600 crores, the profit of which type of investment has the maximum forper rupee revenue?1) Fertilizers 2) Carborundum Universal3) EID Parry 4) Tube Investments

Directions (Q. 19-22): The following graphs show the result of a survey. Refer to the graphs toanswer the questions that follow.

Consumer's Requirement from liquid soaps (in %)

0

10

20

30

40

50

60

Skin care Fragrance Freshness Cleansing Action

Reasons For Trial

Recomme-ndation

20%

Price25%

Sachets15%

Advertising18%

Freebies10%

Size12%

Reasons for Use

Low price22%

Word of Mouth18%

Used it abroad10%

New to Market35%

Adverti-sing15%

19. If 5000 users were questioned for the survey, in which 8% required fragrance and freshness, 3%required skin care and fragrance, 7% required skin care and cleansing action, 3% required cleans-ing action and freshness, and 5% required all the qualities from the liquid soap, how many peoplerequired only skin care from liquid soaps? (There are no consumers who required exactly threequalities from liquid soaps.)

1) 1800 2) 1750 3) 1600 4) 1900

20. If 4200 people were covered under the survey, what is the ratio of the people who tried the soapbecause of recommendation and those who did so because of size?

1) 5 : 3 2) 3 : 5 3) 8 : 5 4) 5 : 8

21. What per cent of the people who tried the soap because of recommendation continued using it for

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a similar-mentioned purpose?1) 80% 2) 95% 3) 85% 4) 90%

22. If 7800 people were covered under the survey, what is the difference between the number ofpeople who use the liquid soaps because it is new to market and the number of people who use itbecause of its advertisement?1) 1750 2) 1560 3) 1800 4) 1500

Answers and explanations1. 4; Only the ratio of export to import of each of the companies is given. Therefore it cant be deter-

mined.2. 4; Only the ratio of export to import of each of the company is given. Therefore we cant find in

which year the difference between export and import of company D is maximum. It dependsupon the constant involved in each of the ratios.

3. 2; This question is similar to the above problem but we have to find the minimum difference. Theminimum difference between export and import will be when Export = Import, ie ratio = 1.Hence company D.

4. 4; Different constants are involved in the ratios of export and import of company A in year 2001and 2000. Therefore we cant determine.

5. 3; Let 1K and 2K be present in the ratio of export to import of company C and company D in year2001.

4775.1

company of Importcompany of Export

Export of company C = 17K

Import of company C = 14K

Similarly, export of company D = 23K

Import of company D = 24KAccording to the question,

23K7K

2

1

76

KK6K7K

2

121 .... (1)

Also, 703K4K 22 70K2

As per (1) 607076K

76K 21

Import of company C = 2406044K1 million.

6. 4; Let 1K and 2K be present in the ratio of export to import of company A and company B respec-tively in year 2003.Export of company A = 1K

Import of company A = 12K

Export of company B = 23K

Import of company B = 24K

Trade deficit (Import Export) of company A = 1K

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Trade deficit of company B = 2KAccording to the question,

100751KK 12

47KK 12

27

2K4

7K4

2K4K

company A of ImportBcompany of Import

1

1

1

2

Required ratio = 7 : 27. 1; Let 1K and 2K be present in the ratio of export to import of company E in 2003 and 2004 respec-

tively.Export of company E in 2003 = 15K

Import of company E in 2003 = 14K

Export of company E in 2004 = 22K

Import of company E in 2004 = 2KAccording to the question,

54

2K5K

2

1 21 8K25K

258

KK

2

1 25

8.KK 21

Required ratio 1930

5790

K25

8K4

2K25

8K5

22

22

= 30 : 19

8. 2; Let 1K , 2K and 3K be present in the ratio of export to import of companies A, B and C respec-tively in year 2004.Total transaction (export + import) of company A = 111 5K2K3K

Total transaction (export + import) of company B = 222 9K4K5K

Total transaction (export + import) of company C = 333 2KKK According to the question,

43

9K5K

2

1 and 24

2K9K

3

2

21 27K20K 32 8K18K

20:27K:K 21 9:418:8K:K 32

321 K:K:K 27 : 20 :

4 : 9

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90:40:54180:80:108K:K:K 321

321

321

K4K2KK5K3K

C and B A,companies of import TotalC and B A,companies of export Total

179226

358452

9040454290405543

Required ratio = 226 : 1799. 2; Let 1K be present in the ratio of export to import of company C in year 2004.

Export of company C in year 2004 = K1Import of company C in year 2004 = K1From the radar graph,% increase in export of company C = 20%

Export of company C in 2005 = .56K

100201K 11

Import of company C in 2005 = 1K (same as that of 2004)

Required ratio = 5:656

K5

6K

1

1

10. 1; Let 1K and 2K be present in the ratio of export to import of company E in years 2003 and 2004respectively.Total transaction of company E in year 2003 = 111 9K4K5K

Total transaction of company E in year 2004 = 222 3KK2K According to the question,

221 2K3113K9K

92

KK

2

1

21

21

K4K2K5K

E of import TotalE of export Total

=

1728

1924

2925

Required ratio = 373 : 21211. 3; % growth in export of company C in year 2005 w.r.t. 2004 = 20%

and, % growth in export of company D = 50%But companies C and D together have increased by 40%. Obviously, 40% is the weighted meanof 20% and 50%.C D20% 50%

40%10 20

1 : 2 Ratio of export of company C to company D in year 2004 = 1 : 2

Let 1K and 2K be present in the ratio of export to import of companies C and D in year 2004.

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Export of company C = 1K ; and import of company C = 1K

Export of company D = 23K ; and import of company D = 24K

and, 21

3KK

2

1 21 3K2K

23

KK

2

1

Required ratio = 21

21

4KK3KK

D and Ccompany of ImportD and Ccompany of Export

11:9119

4KK23

3KK23

22

22

12. 4; In year 2004, only company D has import less than export. From year 2004 to 2005 export of thecompany D increase by 50%.Therefore, no company has import more than export as per the projection.

13. 1; As per the projected percentage increase, the overall % increase

%33.486

290606250

6320

61

14. 2; Let 1K and 2K be present in the ratio of export to import of companies A and B respectively inyear 2004.Difference between export and import of company A in year 2004 = 111 K2K3K

Difference between export and import of company B in year 2004 = 5 : 4 = 221 K4K5K According to the question,

100601KK 21

58KK 21

Export of company A in 2005 = 524K

1001603K 11

Export of company B in 2005 = 22 9K1001805K

Difference between export and import of company B = 222 5K4K9K

Difference between export and import of company A = 11 2KK524

25112K

58K

514

514K 221

Required % = 100

25112K

25112K5K

2

22

= %6.111121300

11.6% more than that of A.