IIFT 2006 Question Paper

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Section I (Part I)

Direction for Question 1 to 13: Read the information carefully and answer the questions:

1. Vijay has been invited for dinner in a club. While walking through the garden path towards the club, he observe that there is an electric rod on the top of the building. From the point where he is standing, the angles of elevation of the top of the electric rod and the top of the building are f and q respectively. If the heights of the electric rod and the building are p and q respectively, mark all the correct statements.
a) The height of the tower is p tan θ /tan ∅ – tan θ
b) The height of the electric rod is q tan θ/(tan θ –tan∅)
c) The height of the tower is p tan∅/tan θ – tan∅
d) The height of the electric rod is q(tan∅ – tan θ )/tan θ

2. If the sum of the roots of the quadratic equation px2 + qx + r = 0 is equal to the sum of the squares of their reciprocals, mark all the correct statements.
a) r/p, p/q and q/r are in A. P.
b) p/ r, q/p and r/q are in G. P.
c) p/r, q/p and r/q are in H. P.
d) p/r, q/p and r/q are in A. P.

3. The area of an isosceles triangle is 12 sq. cm. If one of the equal sides is 5 cm long, mark all the options which can give the length of the base.
a) 4 cm
b) 6 cm
c) 8 cm
d) 9 cm

4. A trader forms a mixture of cement and sand weighing 40 kgs. In the mixture, cement and sand are in the ratio of 4 : 1 in weight terms. Later, when he adds more sand to the mixture, the new ratio becomes 4 : 3. Given this, mark all the correct statements.
a) The second mixture formed is one and a half times heavier than the original mixture.
b) In order to arrive at the second mixture, the trader had to add a quantity of sand weighing 16 kg.
c) Had the original mixture been in the ratio of 8 : 3, the weight of the sand in the original mixture would have been 12 kg.
d) If the trader sells 7 kg of the second mixture formed by him, and adds 11 kg of a new mixture of cement and sand in the ratio 7 : 4 to the residual, then the new ratio of cement to sand will become 7 : 5.

5. Ankit is appearing in an entrance examination for a professional course. In the General Knowledge section, the students are asked to match certain years in which the soccer world cup was held with the name of the champion team in that particular year. The information given was as follows:

Now, Ankit not being a football fan, does the matching randomly. If X denotes the number of correct answer his random matching generates, mark all the correct probabilities.
a) P (x ≥ 1) = 5/8
b) P (x = 1) =1/4
c) P (x = 3) =0
d) P(x = 4) 1/24

6. Joshi has purchased a small shop in a city by paying an amount of Rs. 20,000. He decides to decorate the shop before starting business for which he spends Rs. 8,000 in the first month and Rs. 2,000 in the next month. However, at the beginning of the third month, he gets a good offer from Wadhwa and sells she shop to him at a profit of 20 percent. Wadhwa shortly afterwards decides that he will be better off by doing business in another location and decides to sell the shop back to Joshi. Given this, mark all the correct options.
a) If Wadhawa loses a total of Rs. 7,200, his loss is not more than 20%.
b) If Joshi had originally purchased the shop at Rs. 14,000, then by selling the shop to Wadhwa at the same price, he could have made a profit of 50%.
c) If Joshi had sold the shop to Wadhwa at a profit of 40%, his monetary gain would have been Rs. 12,000.
d) If Joshi had sold the shop to Wadhwa at a profit of 40%, and Wadhwa sold the shop back to him at a loss of 40%, then Joshi would have acquired the shop with a net investment of Rs. 13,200.

7. If logx/b-c = logy/c – a = logz/a – b mark all the correct options
a) xyz = 1
b) xa yb zc = 1
c) xb+c yc+a za+b = 1
d) xb + c yc+a za+b = 0

8. In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife-throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show in the pot. Ajay draws the ticket first, followed by Mohan. Given this, mark all the correct options.
a) If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1
b) If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4
c) If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1
d) If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1

9. Madan is going from Mumbai to Dehi in order to join a new job there. He has a glass memento of right circular conic shape under his possession and he does not want it to break during transportation. So, he purchases a cubic metal box from the market spending Rs. 500. The cone is exactly fitted in the metal cube in such a way that while the edges of the base of the cone are touching the edges of all the sides of the cube, the vertex of it touches the opposite face of he cube. After inserting the memento in the box, he packed the metal box from outside with wallpaper costing Rs. 1.5 per sq cm. Given that the volume of the glass memento is 718 2/3 cc, mark all the correct statements.
a) Madan had incurred total expenditure of Rs. 2,264 on the metal box.
b) Madan had incurred an expenditure of Rs. 1,754 on packing the metal box.
c) The area of any one side of the metal box is 196 sq. cm
d) The volume of the metal box is 2,644 cc.

10. Ranjan goes to a countryside lake for a boat ride. Standing at the ferry counter, he looked at the opposite bank and observed a tall tower on a hill downstream, the angle of elevation being 45°. Ranjan comes to know from the bystanders that the tower is a historical ruin and decides to visit it. The boat takes him directly to the opposite bank, from where the angle of elevation to the top of the tower becomes 60°. While exploring the site, he comes to know that the combined height of he tower and the hill is 300 m. If the speed of the boat by which Ranjan travelled was 2 km/hr in still waters, mark all the correct observations.
a) It took Ranjan 3√6 minutes to cross the lake by the boat.
b) The breadth of the lake is 100 √6 m.
c) It took A. Ranjan 4 √3 minutes to cross the lake by the boat.
d) If the combined height of the hill and the tower was 450 m and the speed of the boat was 1 km/ hr (the angles of elevation remaining unchanged), the time taken by Ranjan to cross the lake by boat would have been 9 √6 minutes.

11. Sunil goes to small city in Europe on vacation, where he enjoys walking along the streets in the afternoon. He observes that there are 6 parallel roads running East – West and 5 parallel roads running North-South in the city. In order to observe the landmarks in the city, he takes different routes every time he goes out. He also observed that the distance between every consecutive pair of roads is equal. Given this, mark all the correct options.
a) The number of shortest possible routes that Sunil can take to travel from one corner of the city to the other diagonal end is 126.
b) The total number of possible routes that Sunil can take to travel from one corner of the city to the other diagonal end is 196.
c) The number of rectangles that can be formed with their sides along the roads is 150.
d) If the number of parallel roads running East-West and North – South increase by one each, the number of shortest possible routes that Sunil can take to travel from one corner of the city to the other diagonal end would go up by 336.

12. Laxman and Bharat decide to go from Agra to Delhi for watching a cricket match and board two different trains for that purpose. While Laxman takes the first train that leaves for Delhi, Bharat decides to wait for some time and take a faster train. On the way, Laxman sitting by the window seat noticed that the train boarded by Bharat crossed him in 12 seconds. Now the faster train can travel 180 km in three hours, while the slower train takes twice as much time to do it. Given this, mark all the correct options.
a) If the faster train has taken 30 seconds to cross the entire length of the slower train, the difference between the lengths of the two trains is 50 m.
b) If the faster train had been running twice as much faster, it would have taken 10 seconds to overtake the slower train.
c) Had the faster train taken 24 seconds to cross the entire length of the slower train, the length of the slower train would have been 100 m.
d) If the slower train had been running at one and a half times of its current speed, the faster train would have taken 24 seconds to overtake Laxman.

13. A contractor takes up an assignment that 20 men can complete in 10 days. The same assignment could be finished by 15 women in 20 days. The contractor decides to employ 10 men and 10 women for the project. Given this, mark all the correct options.
a) If the wage rate for men and women are Rs. 50 and Rs. 45 respectively, the total wage bill for the project will be Rs. 11,400.
b) If the wage rate for men and women are Rs. 45 and Rs. 40 respectively, the total wage bill for the project will be Rs. 10,200.
c) If the wage rate for men and women are equal at Rs. 40, the total wage bill for the project will be Rs. 9,100.
d) If the contractor decides to employ 20 men and 30 women for the project and the wage rate for men and women are Rs. 40 and Rs. 35 respectively, the total wage bill for the project will be Rs. 9,250.

SECTION I (Part II)

Direction for Question 14 to 30: Read the information carefully and answer the questions.

14. In the right-angled triangle QPR given below, PS is the altitude to the hypotenuse. The figure is followed by three possible inferences.

I. Triangle PQS and Triangle RPS are similar.
II. Triangle PSQ and Triangle RSP are congruent.
III. Triangle PSQ and Triangle RPQ are similar.
Mark the correct option
a) I and II are correct
b) I and III are incorrect
c) Only III is correct
d) All three are correct

15. The inverse of the sum of the following series up to n terms can be written as ¾ + 5/36 + 7/144 +……
a) (n-1)2/n2+2n
b) n2+2n/(n-1)2
c) n2+2n(n+1)2
d) (n+1)2/n2+2n

16. The square root of the harmonic mean of the roots of the equation

a) ± 3
b) ± 4
c) √2
d) None of these

17. If α ≠ n π and tan α is the GM of sin α and cos α, determine the square of the expression 2 – 4 sin2 α + 3 sin4 α – sin6 α.
a) 1
b) 4
c) ¼
d) None of these

18. Which of the following is obtained after rationalization of the expression

19. If one root is the square of the other root in the equation x2 + px + q = 0, mark the correct relationship in the following options.
a) p3 – q (3p + 1) + q2 = 0
b) p3 – q (3p – 1) + q2 = 0
c) p3 + q (3p – 1) + q2 = 0
d) p3 – q (3p – 1) – q2 = 0

20. If α, β are the roots of the quadratic equation x2 + mx + 1 = 0 and γ,δ are the roots of the equation x2 + nx + 1 = 0, then the value (α – γ) (β – γ) (α + δ) (β + δ) is equal to
a) n2 – m2.
b) m2 – n2.
c) 2 m2 – n2.
d) None of the above

21. A wire, if bent into a square, enclose an area of 484 cm2. This wire is cut into two pieces; with the bigger piece having a length three-fourth of the original wire’s length. Now, if a circle and a square are formed with the bigger and the smaller piece respectively, what should be the area enclosed by the two pieces?
a) 464 cm2
b) 544.25 cm2
c) 376.75 cm2
d) 424.25 cm2.

22. Find the solution set of the shaded region in the diagram below

a) 3x + y ≤ 4, x + 5y ≤ 5, x ≥ 0, y ≥ 0
b) x + y ≤ 3, x + 4y ≤ 5, x ≥ 0, y ≥ 0
c) 3x + y ≤ 4, x + 2y ≤ 5, x ≥ 0, y ≥ 0
d) 3x + 2y ≤ 2, x + 2y ≤ 5, x ≥ 0, y ≥ 0

23. Pavan builds an overhead tank in his house, which has three taps attached to it. While the first tap can fill the tank in 12 hours, the second one takes one and a half times more than the first one to fill it completely. A third tap is attached to the tank which empties it in 36 hours. Now one day, in order to fill the tank, Pavan opens the first tap and after two hours opens the second tap as well. However; at the end of the sixth hour, he realizes that the third tap has been kept open right from he beginning and promptly closes it. What will be the total time required to fill the tank?
a) 8 hours 48 minutes
b) 9 hours 12 minutes
c) 9 hours 36 minutes
d) 8 hours 30 minutes

24. The domain of definition of the function
a) [-7, 3)˜ {0}
b) [-7, 3] ˜ {0}
c) (-7, 3) ˜ {0}
d) (-7, 3] ˜ {0}

25. a and b are two vectors and the angle between a and b is θ. If (a + 3b). (7a – 5b) = 0 and (a – 4 b). (7a – 2b) = 0, then the value of tan θ is
a) √3
b) 1
c) 1/√3
d) None of the above

26. Three business entities X Ltd, Y Ltd. and Z Ltd, with 4, 3 and 5 employees respectively, merged into XYZ Ltd in order to jointly raise the capital for setting up a new modern production plant in Jaipur. After two years, on the question of management decisions on the new venture at Jaipur, the employees started adopting differing viewpoints and began to quarrel among themselves. Given the fact that there is not quarrel among the employees of the erstwhile X Ltd, Y Ltd and Z Ltd, what could be the maximum number of quarrels that can take place within XYZ Ltd?
a) 31
b) 53
c) 47
d) 41

27.
a) b/a2+b2
b) 2a/a2+b2
c) 2b/a2+b2
d) a/a2+b2

28.
a) 0
b) π/4
c) π ab + 2c (a- b)/ 2ab
d) π ab + 2c (b – a)/2ab

29.
a) k
b) k + 1
c) 1/k
d) None of the above

30. Amit, Sumit and Pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations. After breakfast, each of them boards a different tourist vehicle from the nearest bus-depot.After three hours,Sumit who had gone to a famous beach, calls on the mobile of Pramit and claims that he has observed a shark in the waters. Pramit learns from the local guide that at that time of the year, only eight sea-creatures (including a shark) are observable and the probability of observing any creature is equal. However, Amit and Pramit later recall during their discussion that Sumit has a reputation for not telling the truth five out of six times. What is the probability that Sumit actually observed a shark in the waters?
a) 1/36
b) 1/30
c) 5/36
d) 1/24

Directions for questions no 31 to 37: Mark all the options A…d of List 1 that have corresponding matches anywhere (not necessarily in the same row) in each of the other lists (List II, List III and List IV)

31.

32.

33.

34.

35.

36.

37.

38.

a) a i, b v, c ii
b) b v, c ii, d iii
c) a iv, c ii, d iii d.
d) a i, c iv, d ii

39.

a) a iv, c ii, d iii
b) b v, c ic, d ii
c) b i, c ii, d iv
d) b i, c ii, d iii

Directions for questions 40 to 56: Mark all the correct statements

40.
a) The only Veda to have been rendered musically is the Same Veda.
b) Port Blair is situated in North Andaman.
c) The outermost layer of the Sun is called photosphere.
d) Nhava Sheva, a major Indian port, is in the state of Gujarat.

41.
a) The full form of AIDS is Abnormal Immuno Deficiency Syndrome.
b) Petrology refers to the study of the economy in relation to petroleum products.
c) A diverging lens can be used as magnifying glass.
d) Laparoscopy is concerned with gynecological operations.

42.
a) The parliamentary term ‘crossing the floor’ may be best described as leaving a house by a minister in between a session to attend the other house.
b) It is necessary to be a member of either house of parliament to be appointed as governor of a state.
c) A cognizable offence is one where arrests can be made without warrants.
d) The Chief Minister of a State in India is not eligible to vote in the Presidential elections if he is a member of the Upper House of the State Legislature.

43.
a) Hanumantha Rao replaced Verghese J. Kurien as the chairman of the National Dairy Development Board.
b) Dabur is the best known institution of Unani medicine worldwide which ploughs back nearly 90% of its 1200 odd unani products into social welfare.
c) Pascal Lamy is current the Director General of the World Trade Organization.
d) Jawahar Lal Nehru had said that it was his ultimate aim to wipe every tear from every eye.

44.
a) In an eye donation, it is the lens that is donated.
b) Dialysis of kidneys involves the process of reverse osmosis.
c) IC chips used in computers are usually made of chromium.
d) The age of the tree can be found by counting the annual growth rings in a section of its stem.

45.
a) All metals are solids at ordinary temperatures.
b) Nitric acid is, when pure, a colourful liquid, possessing great oxidising power, turning yellow the skin and other organic bodies.
c) Ammonia gas may be synthetically prepared from its elements by passing the silent electric discharge through a mixture of nitrogen and hydrogen.
d) The composition of the air by weight maybe shown by passing a given volume of pure dry air over a weighed quantity of heated metallic copper, the increase in weight showing the weight of oxygen present in the volume of air, the nitrogen also being collected and the weight ascertained.

46.
a) Chandragupta, who ruled from 324 to 301 B.C., was the architect of the first Indian imperial power — the Mauryan Empire (324 – 184 B.C.).
b) The period from 1707 AD – the year when Aurangzeb died, 1857, the year of the Indian Uprising, saw the gradual increase of the European influence in the India.
c) Between 1746 – 48, the French and English finally came to blows in the first Carnatic War.
d) Tilak, who was one of the first nationalist leaders with a following and deep understanding of the grassroots of India, voiced the thought of Home Rule in 1825.

47.
a) 198 nations attempted to qualify for the 2006 FIFA World Cup.
b) South Africa will host the FIFA World Cup 2010.
c) Special Olympics 2005 took place during 2-9 August 2005 at Glasgow.
d) New Zealand was the Champion in Sultan Azlan Shah Hockey tournament in 2005.

48.
a) Four scientists shared the Nobel Prize in Physics in the year 2005.
b) International Atomic Energy Agency was the co-recipient of Nobel Peace Prize in the year 2005.
c) The flow of heat by conduction occurs via collisions between atoms and molecules in the substance and the subsequent transfer of potential energy.
d) Madam Curie, pioneer in the early field of radiology, was born in France.

49.
a) Sand dunes occur only in arid desert regions.
b) Central Africa is home to the second largest rainforest.
c) The heat buildup inside the earth reached a high early in the earth’s history.
d) The troposphere is a layer of the earth’s atmosphere near its surface which is cooler higher up and warmer farther down.

50.
a) Mukhya Mantri Gram Sadak Yojana is one of the major rural development initiatives in India.
b) Dogri and Gojri are two festivals celebrated in Jammu & Kashmir.
c) The Surajkund Craft Mela of international fame is held every year in the month of December.
d) Prasar Bharati is the public service broadcaster in India with All India Radio and Doordarshan as its two constituents.

51.
a) The two planets – Mercury and Mars – that move within the Earth’s orbit are known as inferior planets.
b) All planets can be seen at night.
c) An ion is an atom or molecule that has become electrically charged by the loss or gain of one or more electrons.
d) Human eyelids open and close about 20 times a minute.

52.
a) Chlorine may be collected by downward displacement of air, as it is two and a-half times heavier than air, or it may be collected over warm water.
b) Chlorine is a greenish yellow gas, easily condensed to a liquid; it does not burn in air, but many substances burn in it, forming chlorides, just as bodies burning in oxygen form oxides.
c) Because of combining with free hydrogen, chlorine is not able to separate hydrogen from some of its compounds and to combine with it.
d) Chlorine bleaches mineral colouring matters.

53.
a) The Montagu-Chelmsford Reforms were introduced by the British Government in India towards women’s participation in active politics.
b) The first Governor-General of India – Warren Hastings, remained in India until 1874 and was succeeded by Cornwallis, who initiated the Permanent Settlement.
c) Lord Dalhousie’s notorious Doctrine of Lapse, whereby a native state became part of British India if there was no male heir at the death of the ruler, was one of the principal means by which native states were annexed by the British.
d) In the third Carnatic war, the British East India Company defeated the French forces at the battle of Wandiwash ending almost a century of conflict over supremacy of India.

54.
a) The Aravalli is the oldest mountain range in India, running from northeast to southwest across Rajasthan in western India.
b) The Satpura Range is a range of hills in central India. It begins in eastern Gujarat near the Arabian Sea coast, then runs east through Maharashtra, Madhya Pradesh and ends in the state of Bihar.
c) The Himalayas extend from the state of Jammu and Kashmir in the west to the state of Assam in the east.
d) The Cardamom Hills located in Kerala, are named after the cardamom grown in the hill’s cool regions.

55.
a) Doppler effect refers to the phenomenon whereby the pitch of a sound appears to change as the object moves away.
b) The equation V = d × d, where V is the volume and d is the diameter of the sphere is dimensionally correct.
c) Bernoulli’s principle states that the pressure of a fluid is inversely proportional to its volume.
d) Northern lights are caused by energetic particles released from the sun reacting in earth’s atmosphere.

56.
a) Six Indians have been awarded Nobel Prize till date.
b) No Indian has ever received Nobel Prize for Medicine.
c) Two Indians have received Nobel Prize for Literature.
d) S. Chandrashekar was awarded the Nobel Prize for physics.

Directions for Questions 57 to 59: There are four options (A … D) in each question. Each of the options has two sentences and each sentence has one word underlined. Mark those options as correct where the underlined words in both the sentences have been used correctly.

57.

58.

59.

Direction for questions 60 and 61: Mark the sentences in the options (A … D) which are grammatically incorrect.

60.
a) The hearing, which had been planned for Monday, December 2, was rescheduled for the following Friday so that all witnesses would be able to attend.
b) In 1952, Japan’s GNP was one third that of France. By the late 1970s, it was larger than the combined GNP of France and Britain.
c) The Huns who were Mongolian invaded Gaul in 461 A.D.
d) Because Senator Martin is less interested in the environment than in economic development, she sometimes neglects it.

61.
a) Because strict constructionists recommend fidelity to the Constitution as written, no one objects more than them to judicial reinterpretation.
b) When a candidate runs for office, they must expect to have their personal life scrutinized.
c) Einstein, who was a brilliant mathematician, used his ability with numbers to explain the universe.
d) Despite the cuts, there are services the hospital has, and will continue to provide to doctors.

Direction for questions 62 and 63: Each question has four analogies from A … D. Mark all the correct analogies.

62.
a) Murrey : Black :: Magenta : Red
b) Inter : Exhume :: Piebald : Homogeneous
c) Effete : Fructuous :: Chapfallen : Effervescent
d) Selenology : Moon :: Epistemology : Knowledge

63.
a) Polyglot : Languages :: Polyphagous : Food
b) Escutcheon : Scutcheon :: Fabulist : Liar
c) Scurvy : Vitamin C :: Kwashiorkor : Protein
d) Apothecary : Drugs :: Cruciverbalist : Crosswords

Directions for questions 64 and 65: Each question has four sentences. Mark all the options where the Italic word in the sentence is inappropriately used.

64.
a) There is luxuriant vegetation in the tropics.
b) Her luxuriant black hair is the most beautiful I have ever seen.
c) He owns a luxurious yacht.
d) Coral grows luxuriously on that reef.

65.
b) He prophesied that the end of the world would come within two weeks.
c) He is an expert at prophesying.
d) They made many dire prophecies, none of which ever came true.

Directions for questions 66 to 69: Each question has two sentences. Each sentence contains one black. From the first three options (a..c) provided below the sentences, pick the one that best fits both the sentences; otherwise, mark option d.

66. I. As indigenous peoples are denied access to their traditional lands, their cultures are dying. The result is that now over half the world’s languages are ____, meaning that only elderly people speak those languages.
II. The third aim, the big one, is to convince Lockists that their research program ___, and Gauker’s contextualist alternative is the way of the future.
a) moribund
b) sycophantic
c) garrulous
d) none of those

67. I. A soft monotonous tone is ___ for the audience.
II. It was many months since Whitehead had gone to bed sober. He’s started to use vodka as a ___ when the night terrors began.
a) maverick
c) soporific
d) none of these

68. I. This seems pretty ___ considering that fair use itself is a grey area rather than a fine line, why superimpose a fine line here?
II. He was greeted with half a dozen really ___ comments about his grammar and use of capitals at the beginning of sentences. They completely detailed the thread.
a) incriminate
b) puerile
d) none of these

69. I. The target for reducing the use of penal custody for children by 10% by 2008 is ___ and won’t happen unless the youth court magistrates get on board.
II. A ___ Prime Minister Jean Chretien, with a keen political eye for embracing these groups, decided to send token and combat-avoiding units to Afghanistan, reinforcing views across Canada that America’s pursuits and actions were ignoble from the start.
a) placative
b) egregious
c) congenital
d) none of these

Direction for questions 70 and 71: List I gives pronounciation hints; List II gives word meanings and List III gives suggested spellings. Mark all the options whose suggested spellings in List C are correct.

70.

71.

Section III (Part ii)

Direction for questions 72 to 79: Read the two passages that follow and answer the questions given at the end of each passage.
Passage 1

72. Mark all the options from those given below the Lists that correctly match List I items with List II items.

a) i a, ii d, iv c
b) i c, ii d, iii b
c) ii a, iii c, iv d
d) ii d, iii b, iv a

73. Mark all the correct statements
a) The author and his friends were not very interested in travelling westwards from the city of Gartok.
b) The travel pass for the author was issued immediately after meeting the Garpon.
c) The climate of Gartok was moderately warm.
d) When the party of the author left Gartok, it consisted of less than seven persons.

74. Mark all the incorrectly statements.
a) The author and his friends enjoyed the European style tea they had in the agent’s office in Gartok.
b) When the author and his friends met the Garpon for the second time, he offered the visitors a travel pass up to the town of Gyabnak.
c) The viceroy the Gartok was astonished to witness the simplicity in the lifestyle that the author and his friends were following.
d) The author and his friends liked the mountain Gurla Mandhata, reflected in the waters of Gartang-Chu, more than Mount Kailas, sacred mountain.

75. Mark all the correct statement.
a) The biggest market that the author and his friends witnessed in the region they visited was not located in Ngari.
b) While the gifts given by the author and his friends to the Tibetan officials included medicines and burning-glass, the gifts received in return consisted of butter, meat, cheese etc.
c) The travel passes received by the author and his friends allowed them to purchase clothes, fuels and foods at local prices.
d) The author and his friends came to know that the Garpon, a high official in Gartok, does not administratively control more than four districts.

Passage 2
The Mongols adopted printing technology very early. Printing with movable letters probably began in China in the middle of the twelfth century, but it was the Mongols who employed it on massive scale and harnessed its potential power to the needs of state administration. Instead of the printing with thousands of characters, as the Chinese did, the Mongols used an alphabet in which the same letters were used repeatedly. Under the Mongols, printers carved out many copies of each letter that could then be arranged into whatever word was needed. Each time the printer wanted a new page of print, instead of carving the whole text, he needed to merely place the right sequence of already carved letters into position, use them, and then wait until the next printing job, when they would be rearranged and the used again. General literacy increased during the Mongol dynasty, and the volume of literary material grew proportionately. In 1269, Khubili Khan established a printing office to make government decisions more widely disseminated throughout the population, and he encouraged widespread printing in general by nongovernmental groups as well. This included religious books and novels in addition to government publications.
The number of books in print increased so dramatically that their price fell constantly throughout the era of Mongol rule. Presses throughout the Mongol Empire were soon printing agriculture pamplets, almanacs, scriptures, laws, histories, medical treatises, new mathematical, theories, songs and poetry in many different languages.
In conquering their empire, not only had the Mongols revolutionized warfare, they also created the nucleus of a universal culture and world system. Although never ruled by the Mongols, in many ways Europe gained the most from their world system. The Europeans received all the benefits of trade, technology transfer, and the Global Awakening without paying the cost of Mongol conquest. The Mongols had killed off the knights in Hungary and Germany, but they had not destroyed or occupied the cities.
One technological innovation after another arrived in Europe. The most labor-intensive professions such as mining, milling, and metalwork had depended almost entirely on human and animal labor, but they quickly became more mechanized with the harnessing of water and wind power. The transmission of the technology for improving the blast furnace also arrived in Europe from Asia via the Mongol trade routes, and it allowed metal workers to achieve higher temperatures and thereby improve the quality of metal, an increasingly important material in this new high-technology era. In Europe, as a result of the Mongol Global Awakening, carpenters used the general adze less and adapted more specialized tools for specific functions to make their work faster and more efficient; builders used new types of cranes and hoists. There was quick spread of new crops that required less work to produce or less processing after production; carrots, turnips, cress, buckwheat, and parsnips became common parts of the diet. Labour-intensive cooking was improved by mechanizing the meat spit to be turned more easily. The new tools, machines, and mechanical devices helped to build everything, from ships and docks to warehouses and canals, faster and better, just as previously the improved Mongol technology of war helped to tear down and destroy quicker with improved cannons and firepower.

76. Mark all the correct statements
a) Religious and real world compulsions motivated the Mongols not to delay the construction of observatories in their occupied territories after winning the battle.
b) While the Mongols were very impressed with Arabic and Indian mathematical tools and incorporated them in their calculating methods, they adopted Chinese technique for printing purpose.
c) Mongol conquest of entire Europe resulted in transmission of knowledge on mining, milling and metalwork.
d) In the aftermath of introducing mass production of published materials, the volume of books, both from government and non-government sources, increased with a consequent decline in their price.

77. Mark all the incorrect statements.
a) The technique of printing with movable letters was introduced by the Mongols during the twelfth century.
b) Numerical knowledge and ability were the main concerns of Mongols.
c) According to the article, presses in Mongol days were printing almanacs, scriptures, histories, medical treatises, new astronomical theories, songs, and poetry in many different languages.
d) The study of astrology and history during the Mongol period flourished because the Emperors wanted them to serve practical objectives of the ruling regime.

78. Mark all the correct statements.
a) Khubilai Khan commissioned compilation of complete histories of Sung period.
b) While the available Mongol inventions in Europe aided the advancement of several manufacturing sectors, the agriculture sector also benefited owing to cultivation of new crops.
c) The works of Jamal-ad-Din and Rashid-al-Din did not contribute much in the creation of new knowledge during the Mongol regime.
d) One of the major inspirations for the Mongols to start looking for advanced yet simpler methods of calculation was the need to effectively document and handle the available figures of military importance as well as those on trade and population.

79. Mark all the options given below the Lists that correctly match List I items with List II items

a) i c, ii a
b) i c, iii d
c) iii d, iv d
d) i d, ii a

Directions for questions 80 to 85: Study the 10 statements given below and answer the questions.
1. Six businessmen from six different nations are staying in different rooms in succession in the same row in a hotel.
2. Each of them owns a different number of cars and has donated to different number of institutions during the last year.
3. The businessman in Room no. 102 owns twice as many as the number of cars owned by the businessmen who has donated to 8 institutions in the last year.
4. The businessman from Uruguay and the businessman in Room no. 106 together own 40 cars in total.
5. The businessman from Argentina owns 8 cars less than the businessman from England but donated to 10 more instillations in the last year.
6. Four times the number of cars owned by the businessman in Room no. 104 is lesser than the number of institutions to which he has donated in the last year.
7. The businessman in Room No. 103 owns 12 cars and donated to 8 institutions in the last year.
8. The businessman who owns 16 cars donated to 24 institutions in the last year.
9. The businessman in Room no. 105 owns 8 cars and donated to 2 institutions less than those donated by the businessman from Canada in the last year.

80. In which room is Brazilians businessman staying?
a) Room no. 102
b) Room no. 103
c) Room no. 104
d) Room no. 105

81. What is the number of institutions to which the Argentinean businessman donated in the last year?
a) 8
b) 3
c) 18
d) 24

82. The businessman of which country is staying in Room no. 106?
a) Argentina
c) Uruguay
d) Germany

83. The businessman of which country has donated to 24 institutions in the last year?
a) Argentina
b) Uruguay
d) Germany

84. The businessman of which country owns the highest number of cars?
a) Argentina
b) Uruguay
c) Germany
d) Brazil

85. How many cars are owned by the English businessman?
a) 8
b) 12
c) 4
d) 20

Section IV (Part i)

Direction for questions 86 to 89: Study the information given below and answer the questions.
A word arrangement machine, when given a particular input, rearranges it using a particular rule. The following is the illustration and the steps of the arrangement.

86. Which will not be Step 10 for the given input
a) Calf lemon dream room apple book college choco girl
b) apple calf lemon book choco college dream room girl
c) lemon college dream choco calf room book girl apple
d) dream college lemon room calf choco apple girl book

87. Indicate all the step numbers for which the following will not be an output dream lemon calf book apple room girl choco college
a) Step 7
b) Step 8
c) Step 9
d) Step 12

88. Mark all the arrangements that do not fall between step numbers 11 and 15
a) choco book dream calf college lemon apple girl room
b) book dream college girl lemon calf apple room choco
c) book dream college room lemon girl apple calf choco
d) college dream book girl lemon calf choco room apple

89. Mark two arrangement which will fall as consecutive steps at any time.
a) calf lemon dream room apple book college choco girl
b) choco book dream calf college lemon apple girl room
c) book dream college girl lemon room apple calf choco
d) college dream book girl lemon room choco calf apple

Direction for Question 90: Read the information given below and answer the question.
A school in Bhopal decided to stage a historical drama, involving a battle between two ancient kingdoms. As a part of the battle, four students, namely – Aslam, Bimal, Chris and Dilip dressed as soldiers, marched through the stage at one point. When the make-up man dressed these four students, he put a helmet on each one’s head, without any one realizing the colour of their respective helmets. The make-up man selected the helmets for these four students from 3 gold-plated helmets, 2 silverplated helmets and one copper-plated helmet at the make-up room. Now, when Aslam, Bimal, Chris and Dilip marched in that order, Aslam being the first person in the queue could not see the helmet on the heads of the other three. Bimal saw the colour of helmet on Aslam’s head; Chris saw the same on Aslam’s head and Bimal’s head and Dilip saw the helmets on the heads of all others. After the drama, a classmate of them asked whether they were aware of the colour of the helmet on their own head, starting from Dilip. No one could answer the question.

90. Mark all the incorrect statements
a) Dilip did not observe the helmets on the heads of the other three actors, two of which were silverplated and one copper-plated.
b) Bimal did not observe Aslam wearing either silver-plated or copper-plated helmet.
c) Chris did not observe the helmets worn by Aslam and Bimal, one of which could be silver-plated and the other copper-plated or both could be silverplated helmets.
d) None of the above.

Direction for Question 91: Read the information given below and answer the question.
My father had given Rs. 50 lakh worth of property to me in his will but with a strange condition. To own the property, I need to spend Rs. 2,000 on a commodity bundle which consists of 5 products. Every unit of product 1 costs Rs. 115, of product 2 costs Rs. 90, of product 3 costs Rs. 70, of product 4 costs Rs. 40 and product 5 cost Rs. 45. For every unit of product 4 that I purchase, I must also buy only two units of product 2. For every unit of product 1, I must buy one unit of product 3. For every unit of product 5, I must also buy two units of product 4 and one unit of product 2. For every unit of any product purchased, I earn 1000 points and for every rupee not spent, I face a penalty of 500 points. I will get the property only if my points are positive, otherwise the money in the will goes to charity.

91. Mark all the correct statements.
a) I can claim the property with current conditions.
b) I can claim the property if every unit of product 3 costs Rs. 60, other prices remaining unchanged.
c) I can claim the property if unit price of product 4 increases by Rs. 5, other prices remaining unchanged.
d) I can claim the property if unit price of product 4 decreases by Rs. 5, other prices remaining unchanged.

Section IV (Part ii)

Direction for Questions 92 – 96: Questions are based on the table below. Unless otherwise stated, all changes (increases, decreases) indicated in the questions must be calculated over the immediately preceding year.

92. Mark all the correct statements
a) Wipro’s share in total sales of the electronics sector was lower than the share of Tata Steel in total sales of the iron & steel sector in each given year.
b) From the group consisting of the textiles and the iron & steel sector, there were 5 companies whose salaries & wages as percent of total salaries & wages as percent of total salaries and wages of their respective sectors increased in 2003 as compared to 2001.
c) Tata Steel’s R & D expenditure in each given year as percent of sales was lower than that of the iron and steel sector as a whole.
d) From the group consisting of the pharmaceuticals and the electronics sectors, there were 5 companies which experienced a decline in the growth rate of sales in 2003.

93. Mark all the correct statements
a) Total salaries & wages over 2001-2003 as percent of total sales of the same period had been the highest for the iron & steel sector.
b) In the year 2003, if all the companies were ranked in descending order in terms of salaries & wages as percent of sales, Videocon International would have been ranked the lowest.
c) In the year 2002, if all companies were ranked in descending order in terms of R & D as percent of sales, Bharat Electronics Limited would have been ranked third.
d) Of all companies that made profits in each year during 2001-2003, wipro registered the highest growth in profits for the period.

94. Mark all the incorrect statements
a) Salaries & wages of each company in the iron & steel sector were up to 13 times its losses, reported in each of the loss-marking years.
b) Total salaries & wages over 2001-2003 as percent of total sales of the same period for the pharmaceuticals sector had been the minimum.
c) Total salaries & wages over 2001-2003 as percent of total sales of the same period for only two companies exceeded 20 percent.
d) Total profits / Total Sales for all the four sectors taken together was higher in 2002 than in 2001.

95. Mark all the correct statements
a) Tata Steel experienced the highest percent decline in R & D expenditure in any single year during the given period.
b) Of all companies which incurred R & D expenditure every year during 2001-2003, total R & D expenditure / total sales was the highest for Dr. Reddy’s Laboratories Ltd.
c) During 2001-2003, in terms of sales growth, the best performer in the pharmaceuticals sector fared better than the best performer in the iron & steel sector.
d) Videocon International Ltd experienced the second largest percent decline in salaries & wages in any single year during the given period.

96. Mark all the situations described in the options below, which when plotted, closely resemble the figure

a) Raymond Limited’s share in the total sales of the textiles sector.
b) Tata Steel’s share in the total sales of the iron & steel sector.
c) Glaxosmithkline Ltd’s salaries & wages as percent of sales.
d) Rymond Limited’s profit as percent of sales.

Directions for Questions no. 97 to 100: Study the graph below and answer the questions.

97.
Mark all the correct statements
a) Democrats and Labour together improved their vote share by a larger margin in 1998 over 1996 as compared to the one in 2002 over 1996.
b) The number of seats lost by Democrats in 2002 elections was less than the number of seats gained by Republicans in the same year.
c) In 2002, the Independents gained the most both in terms of vote share and number of seats obtained.
d) If 70% of Independents had joined Labour, they could have formed government in 2002 but not in 1996.

98. Mark all the incorrect statements
a) In 2002, the percent increase in the number of seats of Liberals and Labour together over 1998 was more than 5 time increase in the vote share obtained by these parties during the same period.
b) In the 2000 elections, in terms of vote share, Labour was the major beneficiary of Democrat’s loss.
c) In terms of vote share, it was in the 2000 elections that most number of parties faced a decline in their individual vote shares.
d) The highest jump in the percentage of seats obtained by any party in any election year over the immediately preceding election year has been smaller than the highest jump in the vote share of any party in any election year.

99. Mark all the correct statements
a) In terms of vote share, Labour and Liberal parties taken together lost 3.2 percent in 1998 but gained a total of 16 seats in the same period.
b) Democrats, Republicans and 35% of the Independents could have formed the government in two election years.
c) No. party increased its vote share in every succeeding election.
d) In the 2000 elections, as compared to the 1996 elections, Republicans and Democrats taken together, gained more in terms of vote share than in terms of percentage of seats.

100. Mark all the incorrect statements
a) In the year 2002, in terms of percentage of seats obtained, Democrats and Labour together lost the maximum.
b) Liberals and Republicans taken together lost both in terms of vote share and the number of seats obtained in the year 2000.
c) In the 2000 elections, all parties lost in terms of number of seats.
d) The highest gain in the number of seats for Labour was in the year 2002.

Directions for questions no. 101 and 102: The graphs below relate to export and import rates for dix regions for the peirod 1997-2003. Study the graphs and answer the questions.
Annual percentage change in world merchandisc trade by region, 1996-03 Exports and Imports.

101. Mark all the correct statements
a) In 1999, if the regions were ranked in descending order based on the gap between the annual percentage change in exports and imports, Central and Eastern Europe would be ranked second.
b) The unweighted average annual percentage change in exports of the six regions was the highest during 2003.
c) In 2001, if the regions were ranked in ascending order based on the gap between the annual percentage change in exports and imports, Asia would be ranked second.
d) The unweighted average annual percentage change in imports of the six regions was the lowest during 1998.

102. Mark all the correct statements
a) During 2000-2003, North American region experienced the highest average annual percentage change in exports as compared to other regions.
b) During 1997-2000, Western European region experienced the lowest average annual percentage change in imports as compared to other regions.
c) Central and Eastern European region experienced the highest jump in percentage change in exports in any year during the sample period.
d) Asian region experienced the largest slump in imports in any single year during the sample period.

Directions for Questions no. 103 to 106: Study the graph below and answer the questions.

103. Mark all correct statements
a) The growth rate of female population in the world during the period 2005-2010 is expected to be greater than the growth rate in male population in the world during 2010-2015.
b) The growth rate of total population in high income countries during 2005-2010 is expected to be greater than the growth rate of male population in East Asia and Pacafic during 2010-2015.
c) During 2005-2010, the growth rate of male population in low income countries is expected to be lower than the growth rate of female population in low income countries.
d) The growth rate of total world population during 2005-2010 and 2010-2015 is expected to greater than 5 percent.

104. Mark all incorrect statements
a) The share of high income countries in total world population in 2005 is expected to be not lower than the share of high income countries in total female population during 2005.
b) The share of Europe and Central Asia in the total male population in all three periods given is likely to be greater than seven percent.
c) The share of middle income countries in total female population in 2015 is not expected to be lower than the share of low income countries in total world population in 2010.
d) The share of South Asia in total female population in 2015 is not expected to be lower than the share of South Asia in total world population in 2010.

105. Mark all the correct statements
a) The share of high income countries in total female population is expected to be larger than the share of these countries in total male population in each year.
b) Population in high income countries is expected to grow at a faster rate than total world population between 2010- and 2015.
c) The share of South Asia’s female population in total world population is expected to grow at a higher rate at which the region’s female population in total female population will between 2005 and 2015.
d) The growth rate in population of middle income countries is expected to be higher during 2010- 2015 as compared to that during 2005-2010, while that of the high income countries is expected to be lower taking the periods into account.

106. Mark all the incorrect statements
a) The share of South Asia in total world population is expected to rise by a larger margin than the share of low income countries in total world population between 2005 and 2015.
b) The share of high income countries in total population is expected to be larger than the share of high income countries in total world population in both 2010 and 2015.
c) The average annual growth rate of female population in the East Asia & Pacafic region between 2010 and 2015 is expected to be higher than the average annual growth rate of female population in South Asia during the same period.
d) As compared to female population, male population in Europe & Central Asia in expected to grow at a higher rate at a higher between 2005 and 2015.