2005 -feb -2005

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MAT –PAST PAPERS MAT- UNSOLVED PAPER- FEB- 2005

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  • 1. MAT PAST PAPERSMAT- UNSOLVED PAPER- FEB- 2005

2. SECTION -ADATA ANALYSIS & SUFFICIENCY 3. Directions Q. 1-6:Study the following graph carefully and answer the questions given below it:Packaging Materials Used (In tones) 4. 01 Problem What per cent of the total glass packaging material was used for packaging food items? a. 40.8 b. 41.8 c. 40.7 d. 41.0 5. 02 Problem Approximately how much per cent more plastic was used than iron for packaging food items? a. 32 b. 320 c. 33 d. 225 6. 03 Problem In the case of which one of the following packag-ing materials used for packing food items and bev-erages respectively the ratio is 4 : 9? a. Glass b. Paper c. Aluminum d. Iron 7. 04 Problem What is the ratio between the glass and aluminum packing materials used for packing beverages? a. 17:56 b. 56:17 c. 84:37 d. 37:84 8. 05 Problem Approximately what per cent of all the packaging materials used for packing food items was contrib-uted by plastic? a. 60 b. 65 c. 70 d. 55 9. 06 Problem Approximately what per cent of all the packaging materials used for packing food items and bever-ages was contributed by plastic and aluminum to-gether? a. 60 b. 70 c. 80 d. 75 10. Directions for questions 7 to 9 :Answer these questions based on the circle graphs. 11. 07 Problem controlled the highest share of the watch market in 86-87 and this share is equal to a. HMT, 51.5% b. HMT, 68.5% c. Allwyn, 34.4% d. Allwyn, 49.4% 12. 08 Problem The highest rise in percentage in the market share in any category is recorded by a. HMT b. Titan c. Allwyn d. Others 13. 09 Problem category HMTs market share in the Handwound category is approximately __________ % higher. a. 106 b. 73 c. 51 d. 30 14. Directions for questions 10 to 14:Study the table below unci answer the questions that follow. Table of Intelligence Classification I.Q. Classification% Included130 and above Very superior 22 120-129 Superior 6.7 110-119Bright normal16.190-109 Average 50.080-89Dull normal 16.170-79Border line6.769 and below Mentally defective 22 15. 10 Problem Following the above table, in which category will you classify the given data for I.Q. scores? Data: 20,47,24,51,55,42,38,61,65 a. Superior b. Average c. Mentally defective d. No given category 16. 11 Problem In which category will you classify the given data for I.Q. scores? Data: 140,127, 135, 120,125, 131,139,144. 138 a. Superior and very superior b. Bright and superior c. Average and dull d. No given category 17. 12 Problem Following the table given above, in which category will you classify the given data for I.Q. scores? Data: 99,100,101,105,95,92,90,108,98,103,93 a. Very superior b. Superior c. Average d. Borderline 18. 13 Problem According to the table above, which is the category with the highest percentage of cases included in it? a. Very superior b. Bright normal c. Average d. Borderline 19. 14 Problem What is the similarity between Very Superior and Mentally Defective categories in terms of percent-age of cases included in each? a. Both are different categories for intelligence classifications. b. Both are extreme categories for differentiating maximally between people c. No similarity at all d. Smallest percentage of cases belong to both these categories 20. Directors for questions 15 to 18:Study the Pie Charts below and answer the questions that follow.Expenditures of ABC Ltd. (Major categories only) 21. 15 Problem The amount spent on Raw materials in 1998 was________ % of the amount spent on___________ a. 200, R& Fin 1995 b. 103, Salaries/Wages in 1995 c. 225, Advertising in 1995 d. 100, Raw materials in 1995 22. 16 Problem The amount spent on Salaries/Wages in 1995 was 140% of the amount spent on a. R&D in 1995 b. Raw materials in 1995 c. Advertising in 1995 d. Raw materials in 1998 23. 17 Problem The fraction of total expenditure for 1995 and 1998 spent on Legal affairs was about a. 0.01 b. 0.12 c. 0.05 d. 0.5 24. 18 Problem The amount spent in 1998 on Advertising is ap-proximately equal to the amount spent on which of the following? A. Salaries/Wages in 1995 B. Advertising, R & D and Technical fees in 1995 C. One-third of Salaries/Wages. R&D and Taxes in 1998 D. All of the above E. None of the above a. A and B only b. A, B and C c. D only d. E only 25. Directions for questions 19 to 26:Answer these questions based on the following graphs. 26. Directions for questions 19 to 26:Total Number of Retirees in the 55+ Age Group 27. 19 Problem What was the total number of employees who opted for VRS in 1996? a. 1000 b. 4000 c. 2400 d. 2500 28. 20 Problem What is the trend in the number of retirees (who have opted for VRS) in the age group 51-55 from 1994 to 1996? a. remained same b. decreased by 100 c. increased by 100 d. decreased by more than 100 29. 21 Problem For how many years did the percentage of retirees in the 41 - 45 age group remain the same? a. Two b. Three c. One d. None 30. 22 Problem The ratio of the percentage of retirees under VRS in the age group of 46 - 50 in the years 1994 and 1998 is a. 3:4 b. 2:3 c. 3 : 5 d. None 31. 23 Problem What was the percentage change in the break-up figure from 1990 to 1998 of the retirees under VRS in the 55+ age group? a. 62.5% decrease b. 60.5% increase c. 50% decrease d. 49.5% decrease 32. 24 Problem In the year 1990 and 1998, which of the age groups showed an increase in percentage change? a. Above 55 b. 41 -45 c. 46-50 d. None 33. 25 Problem Which of the following groups showed the largest percent change in per cent break-up from 1990 to 1998? a. 554 b. 41-45 c. 46- 50 d. 51-55 34. 26 Problem How many more employees in the 46 - 50 age group had opted for VRS in 1996 as compared to 1990? a. 250 b. 344 c. 300 d. None 35. Directions for questions 27 to 30:Study the Table and Pie Chart below to answer these questions. Results of a Survey on Worries that People Have S.No.North East West South 1 Rising Prices8756 74 83 2. Joblessness 5758 69 69 3. Stagnating salaries 1814 611 4. Rental house7 676 5. Scarcity of essential limes 9 11 42 6. Bad/Very bad standard of living 4 II 32 7. Savings rate1721 19 13 8. Pollution 3328 19 39 9. Education 4132 49 25 10. Not living better than 5 years ago4l 44 48 24 1 1 . House ownership4546 45 51 36. Total number of respondents is 5000, with percentage distribution among thedifferent zones as shown below. 37. 27 Problem The number of persons surveyed having house own-ership worries is minimum in the_________ zone. a. North b. South c. West d. East 38. 28 Problem What is the percentage of persons surveyed who do not have worries about increase in savings or about pollution? a. 9 b. 19 c. 29 d. Cannot be determined 39. 29 Problem What is the number of persons having worries re-garding rising prices in the four zones put together? a. 3652 b. 3862 c. 3753 d. 3951 40. 30 Problem What percent of persons with jobs have worries of stagnating salaries in the South? a. 35.5 b. 38.2 c. 25.7 d. Cannot be determined 41. Directions for questions 31 to 35:Each of the following questions has two statements labelled as A and B.Mark the answer as1. if statement A by itself is sufficient to answer the question.2. if statement B by itself is sufficient to answer the question.3. if both the statements A and B taken together are sufficient to answer the question but neither statement by itself is sufficient.4. if statements A and B taken together are not sufficient to answer the question and more data is required to solve the problem. 42. 31 Problem If x, y and z are even integers and 2 < x < y < z, what is the value of y? A : z < 10 B:x