CAT2000 Related Question Answers
3.
Directions for the next 5 questions:Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group consists of eight teams, with each team playing every other team in its group exactly once. At the end of the first stage, the top four teams from each group advance to the second stage while the rest are eliminated. The second stage comprises of several rounds. A round involves one match for each team. The winner of a match in a round advances to the next round, while the loser is eliminated, The team that remains undefeated in the second stage is declared the winner and claims the Gold Cup.The tournament rules are such that each match results in a winner and a loser with no possibility of a tie. In the first stage a team earns one point for each win and no points for a loss. At the end of the first stage teams in each group are ranked on the basis of total points to determine the qualifiers advancing to the next stage. Ties are resolved by a series of complex tie-breaking rules so that exactly four teams from each group advance to the next stage.What is the total number of matches played in the tournament?
4. The minimum number of wins needed for a team in the first stage to guarantee its advancement to the next stage is:
5. What is the highest number of wins for a team in the first stage in spite of which it would be eliminated at the end of first stage?
7.
Directions for the next 5 questions: Answer the questions with reference to the table given below: Information Technology Industry in India (Figures are in million US dollars)
The total annual exports lay between 35 and 40 percent of the total annual business of the IT industry, in the years:
8. The highest percentage growth in the total IT business, relative to the previous year was achieved in:
9. Additional instructions:For any activity A, year X dominates years Y if IT business in activity A, in the year X, is greater than the IT business, in activity A, in the year Y. For any two IT business activities, A & B, year X dominates year Y if:a) The IT business in activity A, in the year X, is greater than or equal to the IT business, in activity A in the year Y,b) The IT business in activity B, in the year X, is greater than or equal to the IT business in activity B in the year Y andc) There should be strict inequality in the case of at least one activity.For the IT hardware business activity, which one of the following is not true?
10. Consider three real numbers, X, Y, and Z. Is Z the smallest of these numbers?A. X is greater than at least one of Y and Z. B. Y is greater than at least one of X and Z.
12.
Directions for the next 5 questions: Answer these questions based on the data provided in the table below: Factory Sector by Type of Ownership. All figures in the table are in percent of the total for the corresponding column.
Suppose the average employment level is 60 per factory. The average employment in wholly private” factories is approximately:
14. Capital productivity is defined as the gross output value per rupee of fixed capital. The three sectors with the higher capital productivity, arranged in descending order are:
15. A sector is considered ‘pareto efficient’ if its value added per employee and its value added per rupee of fixed capital is higher than those of all other sectors. Based on the table data, the pareto efficient sector is:
16. The total value added in all sectors is estimated at Rs. 14,000 crores. Suppose that the number of firms in the joint sector is 2700. The average value added per factory, in Rs. crores, in the central govt. is:
17.
Directions for the next 4 questions: Answer these questions based on the data presented in the figure below. FEI for a country in a year, is the ratio (expressed as a percentage) of its foreign equity inflows to its GDP. The following figure displays the FEIs for select Asian countries for the years 1997 and 1998.
The country with the highest percentage change in FEI in 1998 relative to its FEI in 1997, is:
19. It is known that China’s GDP in 1998 was 7% higher than its value in 1997, while India’s GDP drew by 2% during the same period. The GDP of South Korea, on the other hand, fell by 5%.Which of the following statements is/are true?[list=1][*]Foreign equity inflows to China were higher in 1998 than in 1997.[*]Foreign equity inflows to China were lower in 1998 than in 1997.[*]Foreign equity inflows to India were higher in 1998 than in 1997.[*]Foreign equity inflows to South Korea decreased in 1998 relative to 1997.[*]Foreign equity inflows to South Korea increased in 1998 relative to 1997,[/list]
21.
Directions for the next 4 questions: Answer these questions based on the table below:The table shows trends in external transactions of Indian corporate sector during the period 1993-94 to 1997-98. In addition, following definitions hold good:Sales, Imports, and Exports, respectively denote the sales, imports and exports in year i.Deficit in year I, Deficit1 = Imports - ExportsDeficit Intensity in year I, DI = Deficit/Sales Growth rate of deficit intensity in year I, GDI = $$\frac{DI_i - DI_{i-1}}{DI_{i-1}}$$Further, note that all imports are classified as either raw material or capital goods.
Trends in External Transactions of Indian Corporate Sector (All figures in %)
The highest growth rate in deficit intensity was recorded in:
23. In 1997-98 the total cost of raw materials is estimated as 50% of sales of that year. The turn over of Gross fixed assets, defined as the ratio of sales to Gross fixed assets, in 1997-98 is, approximately;
25.
Answer these questions based on the data given below: The figures below present annual growth rate, expressed as the % change relative to the previous year, in four sectors of the economy of the Republic of Reposia during the 9 year period from 1990 to 1998. Assume that the index of production for each of the four sectors is set at 100 in 1989 Further, the four sectors: manufacturing, mining and quarrying, electricity, and chemicals, respectively, constituted 20%, 15%, 10%, 15 % of total industrial production 1989.
Which is the sector with the highest growth during the period 1989 and 1998?
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