Direction (1-5): The bar graphs give the percentage increase in income and expenditure of various types of banks during a period of 2 years. Refer to the graphs to answer the questions that follow.
% increase in incom e over the last year
15
PSU Banks Old Pvt Banks
% increase in expenditure over the last year
13 15
PSU Banks Old Pvt Banks New Pvt Banks
Foreign Banks 1998-99 1999-00
1. Let the income of the PSU Banks in 1997-98 be equal to Rs 500000 crores. If the expenditure of PSU Banks in 1999-00 is equal to the income of PSU Banks in 1997-98, then the income of PSU Banks in 1999-00 will be what per cent more than the expenditure of these Banks in 1998-99?
1) 32% 2) 44%
3) 56% 4) 64%
2. If the expenditure of Foreign Banks in 1997-98 is equal to their income in that year and is equal to Rs 30000 crores then, in 1999-00, what is the difference in income and expenditure for the foreign Banks?
1) Rs 1500 crores 2) Rs 2000 crores
3) Rs 15000 crores 4) Rs 20000 crores
3. Let the income of New Pvt. Banks in 1998-99 be Rs 4000 crores. If the expenditure of New Pvt.
Banks in 1998-99 is the same as their income then the difference in incomes of New Pvt. Banks in 1998-99 and 1999-00 will be what per cent of the difference of expenditures of New Pvt. Banks in 1998-99 and 1999-00?
1) 52% 2) 76%
3) 84% 4) 118%
4. In 1998-99, if the income of PSU Banks is twice the expenditure of Foreign Banks then what will be the ratio of the income of PSU Banks to the expenditure of Foreign Banks in 1999-00?
1) 1 : 2 2) 21 : 10
3) 5 : 1 4) 1 : 5
5. In 1998-99, if the income of Foreign Banks is four times their expenditure, then what will be the ratio of the income to the expenditure of the Foreign Banks in 1999-00?
1) 1 : 4 2) 4 : 1 3) 5 : 1 4) 1 : 5
Directions (Q. 6-9): The bar graph shows the oil reserves and the line graph shows the esti-mated number of years for which the reserves will last at the present oil extraction rates for various countries. The pie-chart shows the % distirbution of the oil reserves regionwise. Refer to the following graphs to answer the questions that follow.
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Reserves by region %
Africa 7%
Latin America 9%
Europe 8%
North America 6%
Asia-Pacific 4%
Middle East 66%
6. What is the ratio of oil extracted by Saudi Arabia to that by Mexico per year (in billion barrels)?
1) 0.4 2) 2.67
3) 3.16 4) 15.23
7. If the oil reserves held by Saudi Arabia form 32% of the share of Middle East countries then what percentage share of global oil reserves is in Iraq?
1) 20.92% 2) 16.82%
3) 12.08% 4) 9.6%
8. What will be the difference between countries extracting maximum amount of oil to those ex-tracting minimum amount of oil? (in billion barrels)
1) 2.57 2) 2.85
3) 2.14 4) 1.98
9. The ratio of the number of years for which the reserves will last to the total available reserves in billion barrels is maximum for
1) USA 2) Saudi Arabia
3) Azerbaizan 4) Iraq
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Directions (Q. 10-15): These questions are based on the following table.
Expected market of four brands of automobiles in the four metros (In terms of percentage of number of units sold)
M umbai Delhi Calcutta M adras
1996 1997 1996 1997 1996 1997 1996 1997
PAL-Peugeot 32 27 38 35 40 42 26 35
DCM-Daewoo 42 35 33 26 31 28 41 33
Opel Astra 19 27 24 32 23 23 29 26
Mercedes-Benz 7 11 5 7 6 7 4 6
10. What will be the average percentage increase in the market share of Opel Astra in the metros?
1) 25% 2) 9.5%
3) 16% 4) 5.5%
11. PAL-Peugeot’s sales in the four metros have been I. always more than those of Opel Astra.
II. always maximum in Calcutta.
III. always increasing.
1) I only 2) I and II only 3) I, II and III 4) II only
12. If the combined sales of all four is expected to go from 11000 to 12500 in Mumbai between 1996 and 1997 the increase in Mercedes-Benz’s revenues will show a _____ per cent growth, if the price were to go up by 12% in 1997.
1) 10% 2) 50%
3) 75% 4) 100%
13. Given that the cost of a PAL-Peugeot and a DCM-Daewoo is same, an Opel Astra costs twice as much as a PAL-Peugeot, and a Mercedes-Benz is twice as costly as a PAL-Peugeot, the net rev-enue from the four metros was maximum for
1) PAL-Peugeot and DCM-Daewoo 2) Opel Astra
3) Mercedes-Benz 4) Cannot be answered
14. If in 1996 sales were 11000, 10000, 9000 and 8000 respectively in the four metros, then the following are almost equal:
1) PAL-Peugeot sales in Mumbai and Calcutta 2) DCM-Daewoo sales in Delhi and Madras 3) Opel-Astra sales in Mumbai and Madras 4) Mercedes-Benz sales in Delhi and Calcutta
15. The combined share of Opel Astra in Mumbai and Madras is 22% . The sales volume of Opel Astra in Mumbai is how many times that in Madras?
1) 3
7 2)
4 5
3) 5
8 4) None of these
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Directions (Q. 16-20): These are based on the following pie-chart given below:
Contributions of different companies to the turnover of Prudential Group of companies
Prudential Bank 24%
Prudential Insurance
33%
Prudential Finance
19%
Prudential Services
16%
Prudential Consultants
8%
Prudential Bank 23%
Prudential Insurance
31%
Prudential Finance
26%
Prudential Services
14%
Prudential Consultants
6%
1990 1995
1990: Prudential Insurance turnover was Rs 27 bn.
16. If the turnover of Prudential Insurance remained almost unchanged, the group turnover in 1995 was almost Rs
1) 87 bn 2) 93 bn 3) 90 bn 4) 89 bn
Answer the questions 17 to 20 with reference to the data in question 16.
17. The turnover of Prudential Finance increased by
1) 20% 2) 30% 3) 45% 4) 60%
18. If 40% of Prudential Consultants’ revenue came from project exports, its income from domestic activity was (in 1990)
1) 1 bn 2) 2 bn 3) 3 bn 4) 4 bn
19. The number of companies whose turnover decreased in 1995 as compared with 1990 was
1) 1 2) 2 3) 3 4) 4
20. The company which showed the biggest percentage drop in turnover is 1) Prudential Consultants 2) Prudential Insurance 3) Prudential Services 4) Prudential Bank
Answers and explanations
1. 4; Income of PSU Banks in 1997-98 = Rs 500000 crores
Income of PSU Banks in 1998-99 = 500000 × 1.15 = Rs 575000 crores.
And income of PSU Banks in 1999-00 = 575000 × 1.17 = Rs 672750 crores.
Now, expenditure of PSU Banks in 1999-00 = Rs 500000 crores.
Expenditure of PSU Banks in 1998-99 = 22 . 1 500000
= Rs 409836 crores.
Income is more than expenditure by 672750 - 409836 = Rs 262914 crores.
Required % = (672750 409836) .
409836 100 262914
409836 100 64 15%
2. 2; Here, expenditure of Foreign Banks in 1997-98 = Rs 30000 crores.
Expenditure of Foreign Banks in 1998-99 = 30000 × 1.04 = Rs 31200 crores.
Expenditure of Foreign Banks in 1999-2000 = 31200 × 1.11 = Rs 34632 crores.
And income of Foreign Banks in 1997-98 = Rs 30000 crores.
Income of Foreign Banks in 1998-99 = 30000 × 1.09 = Rs 32700 crores.
Incomes of Foreign Banks in 1999-2000 = 32700 × 1.12 = Rs 36624 crores.
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required difference = 36624 - 34632 = Rs 1992 crores 3. 3; Income of New Pvt. Banks in 1998-99 = Rs 4000 crores
Income of New Pvt. Banks in 1999-00 = 4000 × 1.37 = Rs 5480 crores Difference = 5480 - 4000 = Rs 1480 crores
Again, expenditure of New Pvt. Banks in 1998-99 = Rs 4000 crores
Expenditure of New Pvt. Banks in 1999-00 = 4000 × 1.44 = Rs 5760 crores Difference = 5760 - 4000 = Rs 1760 crores
Required percentage = 1480
1760100 = 84
4. 2; Let the expenditure of Foreign Banks in 1998-99 = Rs x crores Then income of PSU Banks in 1998-99 = Rs 2x crores
Then income of PSU Banks in 1999-00 = 2x × 1.17 = Rs 2.34x crores And expenditure of Foreign Banks in 1999-00 = x × 1.11 = Rs 1.11x crores
Required ratio = 1 2.1 1.11x 2.34x
= 21 : 10.
5. 2; Let expenditure of Foreign Banks in 1998-99 = P Then income of Foreign Banks in 1998-99 = 4 P
And income of Foreign Banks in 1999-00 = 4P × 1.12 = 4.48 P Expenditure of Foreign Banks in 1999-00 = P × 1.11 = 1.11 P
required ratio =
1 4 1.11P 4.48P
6. 2; Reserves of oil held by Saudi Arabia is for 88 years.
It means Saudi Arabia extracts 264
88 3 billion barrels of oil per year.
Similarly, for Mexico 28
25 = 1.12 billion barrels of oil per year; thus required ratio is 3
112 2 67 . . . 7. 4; For Saudi Arabia percentage of global oil reserves is 32
10066 = 21.12 For Iraq it would be 2112
264. 120
= 9.6.
8. 2; The oil extraction of Saudi Arabia is 3 billion barrels per year while that of Azerbaijan is 0.15 billion barrels per year. Hence the difference will be 2.85 billion barrels.
9. 3; The ratio of the number of years for which the reserves will last to the total available reserves in billion barrels is maximum for Azerbaijan, ie 34
5
170 . 10. 3; Average increase in market share of Opel Astra:
Increase in Bombay = 100 19
19 27
= 42%
Similarly, Increase in Delhi = 33%
Increase in Calcutta = 0%
Increase in Madras = = -11%
Thus average increase = (42 + 33 + 0 – 11)/4 = 16% .
11. 4; Only statement II holds good as of all the metro sales of PAL, it is maximum in Calcutta.
12. 4; Sales of Mercedes-Benz in 1996 = 7% of 11000 = 770 and in 1997 = 11% of 12500 = 1375. Since the prices increase by 10% , revenue in 1997 will be 1.12 × 1375 = 1540; a growth of 100% from 770.
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13. 4; As the number of units sold is not known, the question can not be answered.
14. 2;
PAL Mumbai: 11000 × 32% = 3520 Calcutta: 9000 × 40% = 3600 DCM Delhi: 10000 × 33% = 3300 Madras: 8000 × 41% = 3280 Opel Mumbai: 11000 × 19% = 2090 Madras: 8000 × 29% = 2320 Mere Delhi: 10000 × 5% = 500 Calcutta: 9000 × 6% = 540 The closest is the sales of DCM.
15. 1; 22% is the weighted mean of percentage sale of Opel Astra in Mumbai and Madras respectively.
Mumbai Madras
19% 29%
22%
7 3
Required ratio of sales volume = 7 : 3.
Sales volume in Mumbai is 3
7 times that in Madras.
16. 1; Prudential Insurance turnover = Rs 27 billion, which forms 31% in 1995.
Thus total turnover in 1995 = 27 31
100 = 87.09 = 87 bn.
17. 3; In 1990, turnover of Prudential Insurance = 27 bn, which forms 33% of total turnover.
Total turnover = 27 33
100 = 81.8 bn. = 82 bn.
Prudential Finance turnover increased by (26% of 87 - 19% of 82)/19% of 82 = 45% . 18. 4; In 1990, income of Prudential Consultants = 82
100
8 = 6.56 bn
Thus domestic income = 60% of 6.56 = 3.93 = 4 bn.
19-20: Decrease of Prudential Consultants = 100 56
. 6
22 . 5 56 .
6
20%
Decrease of Prudential Services =
82 of 16%
87 of 14%
82 of
16%
7% drop.
Thus there is decrease in turnover of Prudential Consultants and Prudential Services only.
19. 2 20. 1