1. MAT PAST PAPERSMAT- UNSOLVED PAPER -DEC- 2005

2. SECTION -AVERBAL SKILLS 3. PASSAGE IModern manpower planning, especially in developing countries focuses interest on formal schooling. Itsterminology is that of teacher student ratios, absorption and enrollment ratios, dropouts, repeaters,general vs. technical education among others. The manpower planner assumes a certain demandpattern, then valiantly plunges into the supply calculations, translating manpower requirements into aneducational plan. A thousand clerks are wanted in 2010. he is told. This means several thousands mustenter primary school now so that 12 years late we can get 1,000 secondary school graduates. He hasalready defined a clerk to be the human being with twelve years of general education. He has calculateddropout and other relevant ratios accurately. Thus, one thousand clerks will be delivered in 2010.Problem is solved. If the reader feels a touch of sarcasm in the preceding portrayal of modern manpowerplanning, he is to be assured that only skepticism is intended. For. in India as in Myanmar, Pakistan thatTaiwan, all densely- populated, basically agricultural countries - a great upsurge in manpowerdevelopment via schooling has taken place in the last 2S years. The impact of such development oneconomic growth leaves much to be desired. These countries arc faced with severe problems in theother important areas of manpower planning, namely manpower allocation and utilisation. Despite thelarge numbers pouring out of the schooling system, shortages persist in certain occupations andlocations while redundant surpluses accumulate in others. The shortages arc not explained by the needfor more schooling but are due to the kind of training offered and the kind of employment desired by the 4. graduates. In most cases one is faced with the necessity to induce the prospective graduates to acceptless schooling instead of striving for more, where the ranks of the unemployed are full. The problem thatcries for greater attention is that of motivation of manpower. What induces people to join certainschools and to continue their schooling? What are the incentives necessary to divert graduates fromcertain occupations to others?What motivates manpower to work in certain geographic locations and avoid others? What is the effectof schooling itself on attitudes and motivation, and finally what motivates workers to produce, innovate,cooperate, take risks and achieve higher productivity? 5. 01 Problem According to the passage, the manpower development in developing countries a. has brought tremendous economic growth to these countries b. has increased manpower utilisation c. has been brought through formal schooling d. has increased the motivation and productivity of the work-force. 6. 02 Problem To what does a touch of Sarcasm refer? a. Developing countries emphasis on transforming themselves rapidly fromagricultural to industrial countries b. Establishment of Management Information Systems cells for collection of data c. Proliferation of second-rate schools offering low quality of training d. A manpower planners simplistic assumptions and straight-forwardcomputations. 7. 03 Problem Which of the following is not a reason for the observed imbalance in the manpower requirements and the availability of the educated? a. Need for more schooling b. Kind of training offered c. Kind of employment desired by the graduates d. Being guided by a purely quantitative educational plan derived from variousrelevant ratios. 8. PASSAGE IIThere is something people like about rappelling or abseiling. A form of controlled descent used inmountaineering, it follows the more gruelling task of climbing up. Of late, rappelling has foundpopularity as a staged activity. Participants walk up a cliff or rock face, while securely anchored to at leastone safety rope that is released in controlled fashion from above. Some clubs keep a third line free forinstructors to come down and assist should anyone get stuck mid-route. Most important, participantsare allowed adequate pauses en route for that photograph of manhoods dawning, mamas precious boylooking great on vertical rock. As many adventure clubs would tell you, very few of these muscle-totting,fatigues-clad youngsters return to climbing t he phonograph endures; the mountain fades. Those whostick on do so because of a deeper fascination, fully acknowledging their fragility and hardly resemblingthe branded image of the adventurous. Further, as with the maturity curve in Indian sports, deep pursesdo not always mean great talent; it is the progressive tapping of the pyramids bottom end that reveals awider canvas of talent. The story is little different with automobiles, where self- image precedes utility invehicle purchase. Utility vehicles (UVs), sports utility vehicles (SlJVs) and a few crossovers make up theadventure vehicles on Indian roads. In 2004-05, total domestic UV sales had increased by 20.46 per centto 176,339 units from 146,388 units. As at end August 2005, the trend for 2005-06 was a sales rise of13.67 percent to 72,686 units for the category. Crossovers sell in very small volumes. So the countrysadventure vehicle story is mainly that of UVs. Of these the obviously brute types, that is. the big, 9. expensive SUVs - lord the relatively tame terrain of cities. Where else can the contrast be sharper? Thekey thing is to be seen, seem adventurous and look capable of crushing all else on the road. A wellknown fact is that beyond the odd automobile journalist who test-drives a brute in testy terrain, mostowners of off- road studs dare not stray from the tarmac, as the vehicles arc expensive. In a cost-conscious market like India with long periods of careful ownership, you could bunch a wide range ofvehicles from the cheapest Scorpio, costing around Rs. 7.3 lakhs (in Mumbai), to the costliest PorscheCayenne, selling at Rs. 92 lakhs, into this segment. Naturally therein, the base of ownership and thetendency to punish the vehicle tapers with higher price points. So if the brutes arc largely doing tameduty or. worse, showing off, where are the real adventure vehicles? To pick out that segment, one needsto first outline the contours of Indian adventure. I.ike everything else, it tends to be and needs to be lowcost. Indian civilian mountaineering expeditions, for example - and there are several every year - travelwithout radio contact, global positioning system or satellite phone and cut down on porters and useborrowed or hired equipment - in short, rough it out wherever possible. The limited budget is entirelyskewed towards the final goal with the highest priority in expense for critical inputs (specializedequipment, clothing shelter and food), all else enjoying lower priority. It is a bottom of the pyramidconsumer experience, one in which the final stages of transport are met by rugged, low-end UVs. In thehills and mountains it is the Bolero, Sumo, Trax and their earlier brethren which remain trusted and are 10. worked hard on rough tracks every day. Mahindra and Mahindra (M & M), Tata Motors and Force Motors(earlier Bajaj Tempo) make these vehicles. The companies are based in Maharashtra, which has thehighest number of adventure clubs in the country and a strong presence of the automobile industry.While on a trek or rock climb in the Sahyadris, it is common to run into somebody from Tata Motors orTata Power, equally strong being the likelihood of having a batch-mate from one of the Tata companies ifyou are training at a mountaineering institute in the Himalayas. Sadly, however, the economies of massmanufacturing shy away from responding to niche segments and in India, adventure is a niche activity.The markets darling therefore, remains the great Indian family or that faceless bunch of strangers,jammed into a "peoples carrier" No marks for guessing which is the adventurers longstanding favouritefor personal transport. Although the price of petrol has risen, the one vehicle that consistently capturedthe fancy of adventure enthusiasts was the Maruti Gypsy, now reduced to largely institutional sales. Ithas the perfect size to manoeuvre on mountain roads, the best off-road vehicle around, commandsrespect in remote areas, allows space for others on roads and, in the true spirit of the adventurer, has alight-weight presence. No fanfare. It is the vehicle people will still give an arm and a leg to load up andhead for the crags. Interestingly, this size of the UV has been left unattended by all domesticmanufacturers, including Maruti, which has often described the Gypsys small size and petrol engine aspotential sales dampeners. M & M has an engaging product in the larger Invader while Tata Motors and 11. Force Motors have kept out. But Marutis own view was partly based on the Gypsys limited ability as apeople mover. But the typical adventurer, the sort hailing from the bottom of the pyramid, would havebeen happy with a manoeuvrable, off- road model that was backed by the countrys largest vehiclesupport network. Neither Maruti nor other manufacturers found it attractive. For the present, therefore,Indias adventure vehicles are gas-guzzlers, sold with little appreciation for the budget and requirementof Indian adventurers. 12. 04 Problem According to the author which type of items take priority due to the budget constraints for adventure trips? a. Porters b. Global Positioning System c. Specialized Equipment d. Satellite Phone 13. 05 Problem "It is the vehicle will still give an arm and a leg to load up and head for the crags." Which one of the following is not a feature of the vehicle referred to in the above sentence? a. This vehicle can be manoeuvered smoothly on hilly roads. b. The sales of this vehicle are mostly institutional c. It is well accepted in remote areas. d. It is the best vehicle for all terrains. 14. 06Problem Which of the following statements is incorrect as per the passage? a. Abseiling has lately become popular as a staged activity. b. Indias adventure vehicles are manufactured and sold considering requirementof Indian adventures. c. Indian market is cost conscious with longer periods of careful ownerships. d. Force Motors is the successor of Bajaj Tempo. 15. PASSAGE IIIIt is indisputable that in order to fulfill its many functions, water should be clean and biologicallyvaluable. The costs connected with the provision of biologically valuable water for food production withthe maintenance of sufficiently clean water are primarily production costs. Purely "environmental" costsseem to be in this respect only costs connected with the safeguarding of cultural, recreational and sportsfunctions which the watercourses and reservoirs fulfill both in nature and in human settlements. Thepollution problems of the atmosphere resemble those of the water only partly. So far, the supply of airhas not been deficient as was the case with water, and the dimensions of the air-shed are so vast that anumber of people will hold the opinion that air need not be economized. However, scientific forecastshave shown that the time may be already approaching when clear and biologically valuable air willbecome problem. No. 1. Air being ubiquitous, people are particularly sensitive about any reduction inthe quality of the atmosphere, the increased contents of dust and gaseous exhalations, and particularlyabout the presence of odours. The demand for purity of atmosphere, therefore emanates much morefrom the population itself than from the specific sectors of the national economy affected by a pollutedor even biologically aggressive atmosphere. The households share in atmospheric pollution is far biggerthat that of industry, which, in turn further complicates the economic problems of atmospheric purity.Some countries have already collected positive experience with the reconstruction of whole urbansectors on the basis of new heating appliances based on the combustion of solid f. il fuels; estimates of 16. the economic consequences of such measures have also been put forward. In contrast to water, wherethe maintenance of purity would seem primarily to be related to the costs of production and transport, afar higher proportion of the costs of maintaining the purity of the atmosphere .derives fromenvironmental considerations. Industrial sources of gaseous and dust emission are well known andclassified; their location can be accurately identified, which makes them controllable. With theexception, perhaps, of the elimination of sulphur dioxide, technical means and technological processesexist which can be used for the elimination of all excessive impurities of the air from the variousemissions. Atmospheric pollution caused by the private property of individuals (their dwellings,automobiles etc) is difficult to control. Some sources such as motor vehicles are very? mobile, and theyare thus capable of polluting vast territories. In this particular case the cost of anti-pollution measureswill have to be borne, to a considerable extent, by individuals whether in the form of direct costs orindirectly in the form of taxes, dues, surcharges etc. The problem of noise is a typical example of anenvironmental problem which cannot be solved only passively, i.e. merely by protective measures, butwill require the adoption of active measures, i.e. direct interventions at the source. The costs ofcomplete protection against noise are so prohibitive as to make it unthinkable even in the economicallymost developed countries. At the same time it would not seem feasible, either economically orpolitically, to force the population to carry the costs of individual protection against noise, for example, 17. by reinforcing the sound insulation of their homes. A solution to this problem probably cannot be foundin the near future. 18. 07 Problem In this passage, the word ubiquitous means: a. being unfair b. being every where c. being iniquitous d. ready to quit 19. 08 Problem According to the passage, which one of the follow-ing contributes the most to atmospheric pollution? a. Production b. Industry c. Households d. Mining 20. 09 Problem According to the passage, atmospheric pollution caused by private property is a. impossible to control b. easy to control c. difficult to control d. decreasing 21. 10 Problem Complete protection against noise: a. is impossible to achieve b. may be forthcoming in the near future c. may have prohibitive costs d. is possible only in developed countries. 22. PASSAGE IVUnemployment is an important index of economic slack and lost output, but it is much more than that.For the unemployed person it is often a damaging affront to human dignity and sometimes acatastrophic blow to family life. Nor is this cost distributed in proportion to ability to bear it. It falls mostheavily on the young, the semiskilled and unskilled, the black person, the older worker, and theunderemployed person in a low income rural area who is denied the option of securing more rewardingurban employment. The concentrated increase of unemployment among specific groups in thepopulation means far greater costs to society than can be measured simply in hours of involuntaryidleness or dollars of income lost. The extra costs include disruption of the careers of young people,increased juvenile delinquency, and perpetuation of conditions which breed racial discrimination inemployment and otherwise deny equality of opportunity. There is another and more subtle cost. Thesocial and economic strains of prolonged underutilization create strong pressures for cost increasingsolutions. On the side of labour, prolonged high unemployment leads to "share the work" pressures forshorter hours, intensifies resistance to technological change and to rationalization of work rules, and, ingeneral, increase incentives for restrictive and inefficient measures to protect existing jobs. On the sideof business, the weakness of markets leads to attempts to raise prices to cover high average overheadcosts and to pressures for protection against foreign and domestic competition. On the side ofagriculture, higher prices arc necessary to achieve income objectives, when urban and industrial demand 23. for food and fibres is depressed and lack of opportunities for jobs and higher incomes in industry keeppeople on the farm. In all these cases, the problems are real and the claims understandable. But thesolutions suggested raise costs and promote inefficiency. By no means the least of advantages of fullutilization will be diminution of these pressures. They will be weaker, and they can be more firmlyresisted in good conscience, when markets arc generally strong and job opportunities are plentiful. Thedemand for labour is derived from the demand for the goods and services which labour participates inproducing. Thus, unemployment will be reduced to 4 percent of the labour force only when the demandfor the myriad of goods and services - automobiles, clothing, food, electric generators, highways, andsoon - is sufficiently great in total to require the productive efforts of 96 percent of the civilian labourforce. Although many goods are initially produced as materials or components to meet demands relatedto the further production of other goods, all goods (and services) are ultimately destined to satisfydemands that can, for convenience, be classified into four categories: consumer demand, businessdemand for new plants and machinery and for additions to inventories, net export demand of foreignbuyers, and demand of government units, federal, state, and local. Thus Gross National Product (GNP)out total output, is the sum of four major components of expenditure: personal consumptionexpenditure, gross private domestic investment, net exports, and government purchases of goods andservices. The primary line of attack on the problem of unemployment must be through measures which 24. will expand one or more of these components of demand. Once a satisfactory level of employment hasbeen achieved in a growing economy, economic stability requires the maintenance of a continuingbalance between growing productive capacity and growing demand. Action to expand demand is calledfor not only when demand actually declines and recession appears but even when the rate of growth ofdemand falls short of the rate of growth of capacity. 25. 11 Problem In this passage, the word involuntary means: a. not free b. without exercise of the will c. done gratuitously d. not desirable 26. 12 Problem According to the passage, a typical business reac-tion to a recession is to press for a. protection against imports b. higher unemployment insurance c. restrictive business practices d. restraint on union activity 27. 13 Problem Gross National Product (GNP) is a measure of: a. our total output b. our personal consumption c. our net exports d. our domestic investment 28. 14 Problem According to the passage, a satisfactory level of unemployment is a. 90 percent of the civilian workforce b. 85 percent of the civilian workforce c. 4 percent unemployment d. 2 percent unemployment 29. SolutionEvery profession or trade, every art. and every science has its technical vocabulary, the function of whichis partly to designate things or processes which have no names in ordinary English, and partly to securegreater exactness in nomenclature. Such special dialects, or jargons, are necessary in technicaldiscussions of any kind. Being universally understood by the devotees of tTie particular science or art,they have the precision of a mathematical formula. Besides, they save time, for it is much moreeconomical to name a process than to describe it. Thousands of these technicaHerms are very properlyincluded in every large dictionary, yet as a whole, they are rather on the outskirts of the English languagethan actually within its borders. Different occupations, however, differ widely in the character of theirspecial vocabularies. In trades and handicrafts and other vocations, such as farming and fishing, thathave occupied great numbers of men from remote times, the technical vocabulary is very old. It consistslargely of native words, or of borrowed words that have worked themselves into the very fibre of ourlanguage. Hence though highly technical in many particulars, these vocabularies are more familiar insound, and more generally understood, than most other technicalities. The special dialects of law,medicine, divinity, and philosophy have also, in their older strata, become pretty familiar to cultivatedpersons, and have contributed much to the popular vocabulary. Yet, every vocation still possesses a largebody of technical terms that remain essentially foreign, even to educated speech. And the proportionhas been much increased in the last fifty years, particularly in the various departments of natural and 30. political science and in the mechanic arts. Here new terms are coined with the greatest freedom, andabandoned with indifference when they have served their turn. Most of the new coinages are confinedto special discussions and seldom get intoteneral literature or conversation. Yet, no profession isnowadays, as all professions once were, a closed guild. The lawyer, the physician, the man of science andthe cleric associated freely with his fellow creatures, and does not meet them in a merely professionalway. Furthermore, what is called popular science makes everybody acquainted with modern views andrecent discoveries. Any important experiment, though made in a remote or provincial laboratory, is atonce reported in the newspapers, and everybody is soon talking about it as in the case of the Roentgenrays and wireless telegraphy. Thus, our common speech is always taking up new technical terms andmaking them commonplace. 31. 15 Problem By saying that professions are no longer closed guilds, the author means that a. it is easier to become a professional today b. there is more intercourse between professionals and others c. popular science has revealed its secrets to the world d. anything can be easily understood by anyone in a profession 32. 16 Problem The vocabulary of vocations like farming and fish-ing has got in the fibre of English language, im-plies that a. it consists of native words b. it consists of borrowed words c. it is used by large number of men d. it is very very old 33. Directions (Questions 17-21):A sentence with one or more blanks is followed by four alternatives. Select themost appropriate alternative to fill up these blanks most meaningfully. 34. 17 Problem The present constitution will see_____ amendments but its basic structure will survive. a. many more b. much more c. too many more d. quite a few more 35. 18 Problem The man who is impatient to become rich can eas-ily be______ to the race track or the gaming table, where a lucky ______ might make him rich. a. evoked, streak b. enticed, chance c. pushed, moment d. lured, break 36. 19 Problem Education is central because electronic networks and software driven technologies are beginning to the economic barriers between na-tions. a. break b. breakdown c. crumble d. dismantle 37. 20 Problem why did you_______ yourself from duty sturdy, when there was urgent work to be done? a. absurd b. absolve c. absent d. abstain 38. 21 Problem any people in Delhi celebrated Diwali in a grand way__________ the high prices a. in spite of b. even though c. because of d. even if 39. Directions (Questions 22-25):Each question has a pair of capitalized words followed by four pairs of words..Choose the pair of words that best expresses the relationship similar to thatexpressed in theoriginal capitalized pair. 40. 22 Problem GARBAGE : SQUALOR : : a. colour: brush b. direct: cleanliness c. diamond: magnificence d. poor: hunger 41. 23 Problem STAIN : HONOUR : : a. loss : fame b. blot: escutcheon c. doubt: reputation d. slander: integrity 42. 24 Problem DUNCE : CLEVER : : a. fearful: courage b. beautiful: attractive c. worry: poor d. flower: petals 43. 25 Problem REPROOF : SCOI D : : a. salient: prominent b. chastise : erring c. romantic: strong d. respite: spite 44. Directions (Questions 26-30):Arrange the sentences A, 11. C and D to form a logical sequence betweensentences I and 6 45. 26 Problem 1. The list of horrors goes on. A. And one is every five is malnourished. B. This is because local clinics, ill - equipped to C. deal with even small things, either do not work or simply do not exist. D. Nobody has been able to figure out a way of reduce the speed that is at the root of Indias over-population problems: a baby born every second. E. There is such an acute shortage of treatment centers that premier hospitals are choked withpatients who show up to treat their coughs and colds. 6. Kalvan Bancrjee, a consultant at the hospital is worried. a. DACB b. CDAB c. DBAC d. CADB 46. 27 Problem 1. Lit was something I knew that it would give me a chance to be my own boss. A. 1 could have more except that supervision becomes difficult. B. Today I have 800 on my staff, office and members C. The moment I announced I was starting a business, people started contacting me. D. I was sick of working for others. 6. Our clients are well known industrialists and organizations, many of whom were in touch were in touch with me when I was in the services a. ABDC " b. DBAC c. DCBA d. BADC 47. 28 Problem 1 .Fire ripped through another pipeline in southern Nigeria, killing at least 40 people. A. The explosion was the third in two weeks. B. Police were deployed to stop villagers from stealing fuel from other pipelines. C. Local politicians have blamed this vandalism on cartels. D. Once the cartels have siphoned off fuel, impoverished locals move in to collect whatthey can for sale to passing motorists. 6. But pipelines often explode, and the practice has left about 2000 people deed in the past two years. a. A BCD b. ACBD c. CABD d. CBDA 48. 29 Problem 1. Reservation should not exceed,50% for the civil services for want of balance and efficiency. A. If reservation is 50% it is adequate for aspirants from reserved category and even unreservedcategory to get an equal opportunity. B. The number of aspirants to the civil services in India is very large and they come from various socio-economic backgrounds. C. These aspirants come from both reserved and unreserved category. D. But if reservation were to exceed 50% mark, a lot of deserving candidates from unreserved categorywould be deprived of a chance. 6. Thus to achieve optimum efficiency, it is essential to maintain a maximum of 50% reservation. a. ADBC b. BCAD c. CABD d. BADC 49. 30 Problem This is a company that prides itself on its carefully matured extensive distribution blocks and mentor network. A. The company also plans a foray into the service sector by setting up a chain oflaunderettes across the country. B. Yet today, pre-cooked chapattis and ready-made mixes are a big market. C. And thats not all. D. Today the idea may appear a trifle ambitious but remember that it was not so long agothat the same things were said about the market for ready to eat foods and brandedcereals. 6. Disposable incomes are rising in the metros and big cities and time is at a premium . a. CADB b. ADBC c. ABDC 50. Directions (Questions 31-35):In the folio-wing questions a sentence is spilt into four parts. Mark the part ofthe sentence that has a grammatical error. 51. 31 Problem a. The best b. idea can c. come from the d. newest persons 52. 32 Problem a. It may also be an advertisement b. as its opponents argue c. but we must realize d. that nothing come free 53. 33 Problem a. by virtue of b. how different these business is c. all acquisitions have d. different profit and revenue potential 54. 34 Problem a. We are an UK based consultancy firm b. and have been retained c. to provide services to d. an Indian client 55. 35 Problem a. their reputation as a manufacturer b. of quality generating sets c. are backed by the number and diversity of global businesses d. that rely on them to support their power needs. 56. Directions (Questions 36-40):Each question has four words marked A, B. C and D; of which two words aremost nearly SAME or OPPOSITE in meaning. Choose one such pair from thealternatives given. 57. 36 Problem A. altruism B. selfishness C. misuse D. Decision a. A-C b. A-B c. B-C d. B-D 58. 37 Problem A. acquittal B. contract C. conviction D. Replete a. B-C b. A-B c. C-D d. A-C 59. 38 Problem A. generous B. mundane C. reciprocal D. Earthly a. B-D b. A-B c. B-C d. A-C 60. 39 Problem A. crammed B. frugal C. novel D. Extravagant a. C-D b. A-D c. B-C d. B-D 61. 40 Problem A. adorn B. afford C. accumulate D. Debase a. B-C b. C-D c. B-D d. A-D 62. SECTION BMATHEMATICAL SKILLS 63. 41 Problem The priest told the devotee, "The temple bell is rung at regular intervals of 45 minutes. The last bell was rung 5 minutes ago. The next bell is due to be rung at 7.45 am". At what time did the priest give this information to the devotee? a. 7.00 am b. 7.05 am c. 7.40 am d. 6.55 am 64. 42 Problem Salaries of A, B and C were in the ratio 3:5:7, respectively. If their salaries were increased by 50%, 60% and 50% respectively, what will be the new ratio of their respective salaries? a. 4:5:7 b. 3 : 6 : 7 c. 4:15:18 d. 9:16:21 65. 43 Problem A began a business with R$. 4,500 and was joined afterwards by B with Rs. 5,400. If the profits at the end of the year were divided in the ratio 2 : 1, B joined the business after: a. 5 months b. 4 Months c. 6 months d. 7 months 66. 44 Problem Sumit lent some money to Mohit at 5% per annum simple interest. Mohit lent the entire amount to Birju on the same day at 8 Vi % per annum. In this trans-action, after a year Mohit earned a profit of Rs. 350. Find the sum of money lent by Sumit to Mohit. a. Rs. 10,000 b. Rs.9,000 c. Rs. 10,200 d. None of these 67. 45 Problem A sum of money invested at compound interest amounts in 3 years to Rs. 2,400 and in 4 years to Rs. 2,520. The interest rate per annum is: a. 6% b. 5% c. 10% d. 12% 68. 46 Problem An article is listed at Rs. 65. A customer bought this article for Rs. 56.16 and got two successive discounts of which one is 10%. The other rate of discount of this scheme that was allowed by the shopkeeper was: a. 3% b. 4% c. 6% d. 2% 69. 47 Problem A can do a piece of work in 10 days, while B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get Rs. 450 for the whole work, how should they divide the money? a. Rs. 225, Rs. 150, Rs. 75 b. Rs.250, Rs. 100, Rs. 100 c. Rs. 200, Rs. 150, Rs. 100 d. Rs. 175, Rs. 175, Rs. 100 70. 48 Problem In what proportion must water be added to spirit to gain 20% by selling it at the cost price? a. 2:5 b. 1 :5 c. 3:5 d. 4:5 71. 49 Problem The capital of a company is made up of 50000 pre-ferred shares with dividend of 20% and 20000 com-mon shares, the par value of each ty pe of share being Rs. 10. Th company had a total profit of Rs. 1,80,000 out of which Rs. 30,000 was kept in reserve fund and the remaining distributed to share-holders. Find the dividend percent to the common shareholders. a. 20% b. 24% c. 25% d. 30% 72. 50 Problem It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 440 cubic metres in 10 minutes. The inner radius of the pipe should be a. 2m b. 2 m c. 1/2 m d. 1/2m 73. 51 Problem An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shots are 0.4, 0.3,0.2 and 0.1, re-spectively. What is the probability that the plane is hit when all the four shots are fired? a. 0.6872 b. 0.4379 c. 0.6976 d. None of these 74. 52 Problem A and B throw a coin alternately till one of them gets a head and wins the game. If A starts the game, find the probability of winning by A: a. 2/3 b. 1/3 c. 1 d. None of these 75. 53 Problem Recently, while in London, I decided to walk down the escalator of a tube station. 1 did some quick calculation in my mind. I found that if I walk down twenty-six steps, I require thirty seconds to reach the bottom. However, if I am able to step down thirty-four stairs I would only require eighteen sec-onds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time I step off the last step at the bottom, can you tell the height of the stairway in steps? a. 44 b. 48 c. 46 d. 42 76. 54 Problem Rohit, Marsha and Sanjeev are three typists who, working simultaneously can type 216 pages in four hours. In one hour Sanjeev can type as many pages more than Marsha as Marsha can type more than Rohit. During a period of five hours, Sanjeev can type as many pages as Rohit can during seven hours. How many pages does each of them type per hour respectively? a. 14,17,20 b. 16,18,22 c. 15,17.22 d. 15,18,21 77. 55 Problem Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1,980 cm apart, towards each other in opposite directions. Both of them make same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is a. 44 cm/sec b. 22 cm/sec c. 66 cm/see d. 132 cm/sec 78. 56 Problem An express train travelled at an average speed of 100 kmph, stopping for 3 minutes after 75 km. A local train travelled as a speed of 50 kmph, stop-ping for I minute after every 25 km. If the trains began travelling at the same time, how many kilometres did the local train travel in the time it took the express train to travel 600 km? a. 900 km b. 307.5 km c. 1200 km d. 1000 km 79. 57 Problem If the three segments inside the rectangle are equal, then the sum of their lengths is: a. 5 b. 12 c. 18 d. 15 80. 58 Problem Running at the same constant rate. 6 identical ma-chines can produce a total of270 bottles per minute. At this rate, how many bottles could 10 such ma-chines produce in 4 minutes? a. 1,800 b. 648 c. 2,700 d. 10,800 81. 59 Problem The population of a city increases at a rate of 4% per annum. There is an additional annual increase of I % in the population due to the influx of job seek-ers. The % increase in the population after 2 years is therefore a. 10.25 b. 10 c. 10.50 d. 10.75 82. 60 Problem A scooter costs Rs. 25, 000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of the 3 years? a. Rs. 12,500 b. Rs. 10,000 c. Rs. 12.800 d. Rs. 12,000 83. 61 Problem Two series of a question booklet for an aptitude test are to be given to twelve students. In how many ways can the students be placed in two rows of six each so that there could be no identical series side by side and that the students sitting one behind the other should have the same scries? a. 6! x 6! b. 2 x ,2C6 x (61)2 c. 7! x 7! d. None of these 84. 62 Problem How can the relationship between x and y be best defined, if values of x and y are as follows? X 234 5 6y026 12 20 a. y = 2x-4 b. y = x2 - 3x + 2 c. y = x2--4x d. y = x2 - 85. 63 Problem A hemispherical bowl is made of steel 0.5 cm thick. The inside radius of the bowl is 4 cm. The value of steel used in making the bowl is: a. 56.83 cm2 b. 55.83 cm2 c. 57.83 cm d. 58.83 cm3 86. 64 Problem Two equal sums of money are lent at the same time at 8% and 7% per annum simple interest. The former is recovered 6 months earlier than the latter and the amount in each case is Rs. 2,560. The sum and the time for which the sums of money are lent out arc a. Rs. 2,000, 3.5 years and 4 years b. Rs. 1,500, 3.5 years and 4 years c. Rs. 2,000, 4 years and 5.5 years d. Rs. 3.000, 4 years and 4.5 years 87. 65 Problem Find the least number which on being divided by 5, 6, 8, 9, 12 leaves in each case a remainder 1, but when divided by 13 leaves no remainder. a. 5501 b. 3601 c. 3701 d. 3801 88. 66 Problem A gardener had a number of shrubs to plant in rows. At first he Iried to plani 2 in each row, then 3, then 4. then 5 and then 6 but always, 1 left. On trying 7, he had none left. What is the smallest number of shrubs he could have had? a. 201 b. 401 c. 501 d. 301 89. 67 Problem The water in a rectangular reservoir hav ing a base 80 metres by 60 metres is 6.5 metres deep. In what time can the water be emptied by a pipe of which the cross section is a square of side 20 cm, if the water runs through the pipe at the rate of 15 km per hour? a. 52 hrs b. 26 hrs c. 65 hrs d. 42 hrs 90. 68 Problem The driving when of a locomotive engine 2.1 m in radius makes 75 revolutions in one minute. Find the speed of the train in km/hr a. 60 km/hr b. 59.4 km/hr c. 61.5 km/hr d. None of these 91. 69 Problem A rectangular lawn 80 metres by 60 metres has two roads each 10 metres wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling them at Rs. 30 per square metre. a. Rs. 39.000 b. Rs. 3,900 c. Rs. 3,600 d. Rs. 36,000 92. 70 Problem The length of a room is double the breath. The cost of colouring the ceiling at Rs. 25 per sq m is Rs. 5,000 and the cost of painting the four walls at Rs. 240 per sq m is Rs. 64,80b. Find the height of the room. a. 4.5 m b. 4 m c. 3.5 m d. 5 m 93. 71 Problem The speed of motor boat of length 20 metres in water without current is 40 km/hr. If the motor boat, sailing against a river current of 4 km/hr crosses a temple on the bank in 109 seconds, find the length of the temple. a. 70 m b. 80 m c. 350 m d. 200 m 94. 72 Problem Without any stoppage a person travels a certain distance at an average speed of 42 km/hr, and with stoppages he covers the same distance at an aver-age speed of 28 km/hr. How many minutes per hour does he stop? a. 14 minutes b. 15 minutes c. 28 minutes d. 20minutes 95. 73 Problem What are the values of x that will satisfy the condi-tion 1 < 3x-5 < 10: a. 2 < x < 5 b. x < 2 or x > 5 c. 2 > x > - 5 d. 1/3