mock.xat_cl

MOCK XAT - I Test Booklet No. 7 7 0 3 7 3

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2. Fill in the information required on the answer sheet. Your test may not be evaluated if the required details arenot entered on the answer sheet.

3. This booklet consists of three sections A, B and C with 38, 38 and 44 questions respectively,i.e. a total 120 questions. You will be given two hours to complete the test. Each question carries 1 mark. Ifthere is a problem with your test booklet, immediately inform the invigilator/supervisor. You will be providedwith a replacement.

4. You are required to answer questions from all three sections and expected to maximize scores in each section.

5. Each question has five alternatives. Answer each question by darkening the appropriate alternative letter againstthe question number on the answer sheet. For example if your answer to question number 1 is ‘B’, darken fullythe circle ‘B’ against question 1.

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7. Use only HB pencil.

8. NEGATIVE MARKS (one fourth of a mark) may be deducted for the first six incorrect answers ineach section and 0.5 (half a mark) for each incorrect answer thereafter.

9. Failure to follow instructions and examination norms will lead to disqualification.

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BEST OF LUCK!

MCT-0017/08

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MOCK – XAT 1 Page 1

Question No 1-5: In each of the five consecutiveyears namely Year 1, Year 2, Year 3, Year 4 and Year5 (in that order), the sports department of a schoolorganized a game in which exactly five studentsparticipated every year. Every year, at the end of thegame, the five participants were given five differentranks viz. Rank 1, Rank 2, Rank 3, Rank 4 and Rank5. The number of points awarded to the participantsranked 1, 2 and 3 were 5, 3 and 1 respectively. Nopoints were awarded to the participants ranked 4 and5.

At the end of the game in year 5, the total number ofpoints awarded to nine participants viz. Aman,Aabhas, Naveen, Urmi, Sameer, Rashmi, Sanjay,Kanika and Prashant were as given in the followingtable:

Name of the Student PointAman 5

Aabhas 5Naveen 8Urmi 2

Sameer 5Rashmi 6Sanjay 4Kanika 10

Prashant 0

In Year 1, Aman, Aabhas, Naveen, Urmi and Sameerparticipated in the game. In Year 2, Rashmi replacedAman in the game. In Year 3, Sanjay replaced Aabhasin the game. The same process followed in thesubsequent years. It is also known that out of all thenine students, Kanika was the only student who wasawarded points in two consecutive years.

1. If Sameer was awarded Rank 3 in Year 3, thenwhich of the following participants was awardedRank 2, in Year 3?

A. NaveenB. RashmiC. SanjayD. Either (A) or (B)E. Either (B) or (C)

SECTION A : ANALYTICAL REASONING & DECISION MAKING

2. At the end of the game in Year 4, how manyparticipants, out of all the mentioned nine, wereawarded lesser number of points than the numberof points awarded to Rashmi ?

A. 6B. 7C. 5D. 8E. Cannot be determined

3. In Year 5, what is the ratio of the number of pointsawarded to Sanjay and Sameer?

A. 1: 3B. 3: 1C. 1: 5D. 5:1E. Cannot be determined

4. In Year 2, the list of participants who were awardedRank 1, Rank 3 and Rank 2 (in that order) is

A. Aabhas, Urmi and RashmiB. Naveen, Aabhas and UrmiC. Urmi, Rashmi and NaveenD. Sameer, Urmi and RashmiE. Cannot be determined.

5. In which of the following years, was Rashmiawarded Rank 2?

A. Year 2B. Year 3C. Year 4D. Year 5E. Both (A) and (C)

MOCK – XAT 1Page 2

Question No 6-9: Sixteen teams viz. T1, T2, T3...and T16 are participating in a knock-out hockeytournament which has four rounds viz. Pre Quarter-finals, Quarter-finals, Semi-finals and Final. Based ontheir past records, the teams T1, T2, T3... and T16 areassigned ranks 1, 2, 3...and 16 respectively. Assumethat the ranks assigned to the different teams do notchange before the last match of the tournament is over.Following information is given about the four rounds:

Round I. Pre Quarter-finals: The first match of thisround is played between the two teams ranked 1 and16. The second match is played between the twoteams ranked 2 and15. Following the same pattern,the eighth match is played between the two teamsranked 8 and 9.

Round II. Quarter-finals: The first quarterfinals matchis played between the teams winning the first and theeighth matches of the pre quarter-finals. The secondquarterfinals match is played between the teamswinning the second and the seventh matches of the prequarter-finals. The teams for the other two matchesare selected on the same pattern.

Round III. Semi-finals: The first semi-finals match isplayed between the teams winning the first and thefourth matches of the quarter-finals. The secondsemi-finals match is played between the teams winningthe second and the third matches of quarter-finals.

Round IV. Final: The final match is played between thewinners of the two matches in the semi-finals.

All the matches of the tournament are playedon one or the other of the four grounds viz. G1, G2, G3and G4. On any given day, only two matches can beplayed on each of these grounds - one in the morningslot and the other in the evening slot.

6. There must be a gap of exactly two slots (i.e. onemorning slot and one evening slot, in any order) beforea team plays it’s next match. If all the matches of thetournament have to be finished in “x” number of days,then which of the following must be correct?

A. The final match cannot be played in the eveningslot of the 6th day.B. If eight matches are played on the first day, then nomatches can be played on the second day.C. For ‘x’ to be minimum, no match should be playedon the fourth day.D. The minimum value of ‘x’ is 7.E. None of the above.

7. A team “T” has a rank which is an even number.It is observed that, whenever team T plays against ateam which is ranked lower than T, team T definitelywins. Each of the following statements could becorrect, EXCEPT:

A. Team T8 did not reach the semi-finals.B. Team T6 did not reach the semi-finals.C. In one of the semi-finals matches, team T3 playswith team T6.D. Team T2 wins the tournament.E. All of these.

8. Between ranks of the two teams which arescheduled to play in a match, if the higher rank is aneven number then the match is played either on G1 oron G3. Between the ranks of the two teams which arescheduled to play in a match, if the higher rank is anodd number then the match is played either on G2 oron G4. If the observation mentioned in Q7 aboveholds true, then which of the following statements isdefinitely true?

A. All the matches in the quarter-finals and thesemi-finals rounds can be played on ground G3.B. Number of matches played on grounds G2 or G4 ismore than that for grounds G1 or G3.C. Number of matches played on grounds G1 or G3 ismore than that for grounds G2 or G4.D. Final match will be played either on ground G1 oron ground G3.E. More than three-fourth of all the matches in thetournament can be played on ground G1.


9. If teams T3 and T9 play in the semi-finals, thenwhich of the following statements could be correct?

A. Neither T4 nor T12 play in the final.B. Teams T4 and T5 can be the two teams playing thefinal match.C. Teams T3 and T10 can be the two teams playingthe final match.D. Both (A) and (B).E. Both (B) and (C).

Question No 10 to 13: Nine friends A, B, C, D, E,F, H, I and J joined a fitness center. The fitness centeris closed on Monday.At the fitness center, a week starts from a Tuesdayand ends on the Sunday that follows it. On each of thesix days of a particular week, exactly three personsvisited the fitness center such that each person visitedthe fitness center on at least one day of that week.There are exactly four persons who visited the fitnesscenter on more than two days. Further, the followingconstraints must be obeyed.

(I) Both D and E visit the fitness center on three of thefirst four days of the week.(II) H does not visit the fitness center unless both Aand B also visit the fitness center.(III) Each of B, I and J visits the fitness center ondifferent days of the week.(IV) C and F always visit the fitness center on thesame day of the week.(V) None of the persons visited the fitness center onthree consecutive days of the week.

10. Which of the following persons visited the fitnesscenter on exactly three days?

A. IB. JC. HD. BE. C

11. If A did not visit the fitness center on Sunday andJ visited the fitness center only on Friday, then whichof the following can be the day on which I visited thefitness center?

A. WednesdayB. ThursdayC. SaturdayD. SundayE. Both (B) and (C)

12. If E and I visited the fitness center on Sunday andFriday respectively, then on which day did J visit thefitness center?

A. TuesdayB. WednesdayC. ThursdayD. SaturdayE. Cannot be determined

13. If J and I visited the fitness center on Tuesday andFriday respectively, then which of the followingpersons definitely visited the fitness center on Sunday?

A. AB. CC. ED. JE. Cannot be determined

Question No 14-19: In the game "Codes", new"messages" are composed and given messages aremodified to form another message. A message,whether new or modified, consists of exactly five"words" (meaningful or meaningless) and a wordconsists of at least six letters of the English alphabets.Within a message, words are written from left to right.A message cannot start with a vowel and no twoconsecutive words can have vowels. Except for thefirst word, the successive words are formed byapplying exactly one of the four operations to thepreceding word- exchange the order of any twoletters, add a letter, delete a letter and replace a letterwith another. Each word is formed by a differentoperation than what was used to form the precedingword. The first and the last letter of a message mustbe the same. Reversing the order of the letters in thefirst word of the given message forms the first wordof the modified message and the successive words areformed using exactly one of the four operations


(as given above) but by applying an operation otherthan the one applied to form the respective words inthe given message.

14. Which of the following messages is valid?

A. Cwpstn cwpstc wpstc mwpstc mapstcB. Tbchxpm tbcxhpm tbcxpm mbcxpt mabcxpt.C. Lpstrnm alpstmnh xlpstmn lpstmn npstml.D. Qwertys swertyq swrtyq qwrtys swrtyq.E. Malick malbck mlbckm mlbkcm mkblcm

15. Which of the following is a valid modification ofthe message given below?Jhghusd jhghpsd dhghpsj dhgpsj adhgpsj

A. Dsuhghj dshghj dshfhj dshfhpj jshfhpdB. Dsuhghj dsehghj dsahghj dsbhghj jsbhghdC. Dsuhghj dshghj dshgej dshgqj jshgqdD. Dsuhghj dshghj dshgfj dshgjf fshgjdE. Dsuhghj dshghj dshhgj dhshhqj jhshhqd

16. The third and the fourth words in a modifiedmessage are "vfksjy" and "vjksfy". Which of thefollowing, in the given order, can never be the thirdand the fourth words in the original message?

A. vfksjy vjksjyB. fveksjy fvksjyC. kfvsjy kfvsjayD. skfvjy skfvjeyE. fvksjy fkvsjy

17. Which of the following word cannot be used asthe first word of a message?

A. KmnoppB. MnpokkC. PmnkooD. NopkmmE. Pomknn

18. What is the maximum number of vowels that amessage can use in it?

A. 1B. 2

C. 3D. 4E. 5

19. The first word of a message has 7 distinct lettersin it. How many letters will the message have, if it hasthe maximum possible number of distinct letters in it?

A. 40B. 41C. 36D. 37E. 42

Question No 20-23: Eight children are numbered 1,2, 3, 4, 5, 6, 7 and 8 such that exactly one number iswritten on the shirt of each child. The mentionedchildren ate eight fruits on a particular day such thateach child ate exactly one fruit. The fruits eaten by anyof the mentioned children are of three types - apple,orange and mango. At least one and at most threefruits of each type were eaten by the mentionedchildren. The consecutive time slots of the day inwhich these eight fruits were eaten are I, II, III, IV, V,VI, VII and VIII, in that order.

Additional Information Given:1. No two fruits of the same type were eaten in anytwo consecutive time slots.2. No two consecutively numbered children ate eithera mango or an apple.3. Three consecutively numbered children ate anorange each.4. The children numbered 1 and 7 ate an apple and amango respectively.

20. Which of the following fruits did child numbered 4eat?

A. AppleB. OrangeC. MangoD. Either (A) or (B)E. Either (A) or (B) or (C)


21. If the time slots in which child numbered 3, 1 and7 ate the fruit is IV, V and III respectively, then whichof the following MUST be false?

A. The time slot in which child numbered 2 ate the fruitis II.B. The time slot in which children numbered 4 and 5ate the fruit is VI and VII respectively.C. The time slot in which children numbered 2 and 5ate the fruit is VI and VIII respectively.D. The time slots in which children numbered 6 and 8ate the fruit is VI and VII respectively.E. None of the above

22. If the time slots in which children numbered 5 and3 ate the fruit is I and II respectively, then each of thefollowing statements could be true, EXCEPT:

A. The time slot in which child numbered 4 ate the fruitis III.B. The time slot in which children numbered 6 and 8ate the fruit is III and IV respectively.C. The time slots in which children numbered 1 and 8ate the fruit is V and VI respectively.D. Both (A) and (B)E. Both (B) and (C)

23. Which of the following sequences of fruits eatenby children numbered 2, 3, 5 and 8(in that order) isnot possible?

A. Orange, Orange, Mango and AppleB. Mango, Orange, Mango and AppleC. Orange, Orange, Apple and AppleD. Both (A) and (C)E. Both (B) and (C)

24. Twelve philosophers participate in an internationalmeet. At some point, one of the philosopherscommented, “In our talks, one lie has been told”.Immediately following this comment, anotherphilosopher commented, “Now two lies have beentold.” which, in turn, was followed by the third suchcomment, “Now three lies have been told.”. Thephilosophers continued to comment until the twelfthphilosopher commented, “Now 12 lies have been

told.” If it turned out that at least one philosopherstated the correct number of lies that had been toldbefore he made the claim, then how many lies did the12 philosophers, actually tell?

A. 10B. 12C. 7D. 2E. 11

25. In the following figure, a small square is drawninside a large square. The two diagonals of the smallersquare coincide with the diagonals of the largersquare. From the set {1,2,3,...,1999, 2000}, fourconsecutive even numbers x1, x2, x3 and x4 and fourconsecutive odd numbers y1, y2, y3 and y4 areselected and are filled in the square, as shown in thefigure.

x1

x 2

x 3

x 4

y 1 y 2 y3 y4

Which of the following statements is definitely true?

A. If x4 > x3 > x2 > x1 and y4 > y3 > y2 > y1, then thesum of numbers inside the smaller square is alwaysequal to the sum of numbers outside the smallersquare.B. The product of the numbers inside the smallersquare is greater than the product of the numbersoutside the smaller square.C. When taken two numbers at a time, y4 + x4 is themaximum possible sum.D. The sum of all the numbers in the bigger square iscompletely divisible by 5.E. None of these.


Question No 26-38: The caselets given below arefollowed by a set of question/s. Choose the mostappropriate answer to each question.

26. In 1998 the Tatas acquired Britain-basedLittlewoods retail stores in Bangalore and renamedthem Westside. Before entering the Indian retailsegment, Westside conducted market research onretailing trends in the domestic and internationalmarkets. It was observed that in India, garmentretailers generally stocked both store-owned brandsand other brands in the ratio of 30:70, as it was easyto attract customers for the established brands.However, many major international retailers stockedonly their own brands because of high returns,increased store loyalty and less restriction in terms ofdisplay, price and promotion. Stocking of only store-owned brands for Indian retailers posed certainproblems. Though they offered higher margins,retailers suffered on account of poor economies ofscale (until they established many outlets) and heavyinvestment in brand building.

In such a scenario what would be the best strategyWestside can adopt in order to maximize long-termprofits?

A. Push its own premium in-store products and earnhigher margins through higher prices and more controlover the manufacture, quality and distribution.B. Push its own premium in-store products at adiscounted price in order to attract the more price-sensitive customersC. Maintain a mix of in-store and other brands inorder to attract more customers, even though otherbrands do not command such higher marginsD. Push its own premium in-store brand to earn highermargins and at the same time pass on the savings fromcutting out intermediaries to the customersE. Focus on recruiting young and smart salespersonnel in order to enhance customer service at itsstores.

27. In an incident at the local factory of a largemultinational company, the CEO was heckled by threerepresentatives of the workers’ union with whom he

had been having a meeting. Soon after the incident, themanagement dismissed the three employees Theemployees involved accepted their dismissal letters butsubsequently provoked other workers to go in for astrike to protest the management’s move. The workersat the factory went on a strike for two days after that.The incident had opened a can of worms. The threemen who were charge-sheeted, were members of the41-member committee of BMU, which had strongpolitical connections with the ruling party in the statewhere the factory was located. Thus the incidentbecame more of a political issue rather than anindustrial relations problem when the party startedpressurizing the company to resolve the incident infavour of the workers. The trio had also been close tosenior managers of the company who were no longerthere and had farmed out a large part of the contractlabour operations to them. The CEO was also of theview that recalling the chargesheeted workers wouldset a bad precedent in a company where the labourunion was perpetually restive and might be harmful tothe company’s interest in the long run. In such acomplicated scenario the company was not surewhether to reconsider its substantial investment plansin the state or not.

The management of the company is considering thefollowing options in order to resolve the present crisis:

1. Close down the factory where the strike ishappening as well indefinitely postpone its investmentplans in the state in order to coerce the BMU and thestate apparatus to help lift the workers’ strike.2. Recall the chargesheeted workers in order to lift thestrike even though it may set a bad precedent in thecompany3. Order for an impartial judicial enquiry into the issueto determine whether the dismissal of the employeeswas legally right and ask the state apparatus toconvince the striking workers to abide by the verdictof the enquiry.4. Negotiate with the three dismissed workers andoffer a generous severance package so that they maythemselves help resolve the situation and have thestrike lifted.


5. Have the CEO removed hoping that the incidentwould then resolve out by itself.

From the management’s point of view, keeping in mindthe company’s objectives, the options for finding asolution to the crisis, in the descending order of easeof implementation would be:

A. 2, 3, 4, 5, 1B. 5, 2, 4, 3, 1C. 4, 3, 2, 1, 5D. 3, 4, 2, 5, 1E. 4, 3, 2, 5, 1

Question No 28-29: On June 13, 1999, Coca-Cola(Coke) recalled over 15 million cans and bottles afterthe Belgian Health Ministry announced a ban onCoke’s drinks, which were suspected of making morethan 100 school children ill in the preceding six days.This recall was in addition to the 2.5 million bottlesthat had already been recalled in the previous week.Children at six schools in Belgium had complained ofheadache, nausea, vomiting and shivering whichultimately led to hospitalization after drinking Coke’sbeverages. Most of them reported an ‘unusual odor’and an ‘off-taste’ in the drink.In the same week, the governments of France, Spainand Luxembourg also banned Coke’s products whileCoke’s Dutch arm recalled all products that had comefrom its Belgium plant.The entire episode left more than 200 Belgians andFrench, mostly school children, ill after drinking theCoke produced at Antwerp and Dunkirk. By June 15,1999, Coke had recalled about 30 million cans andbottles, the largest ever product recall in its 113-yearhistory. For the first time, the entire inventory ofCoke’s products from one country were banned fromsale.

As part of a damage control exercise, Coke sent ateam of scientists to Europe. Coke Belgium evenannounced that it would reimburse the medical costsfor people who had become ill after consuming itsproducts. The recall had a significant negative impacton Coke’s financial performance.

Analysts felt that the Belgium recall was one of theworst public relations problems in Coke’s history.One analyst alleged that the company had informationabout people who had become ill weeks prior to theabove incidents. Coke had an opportunity to disclosethis information but it did not do so.

Others blamed Coke’s promotion strategy to sell softdrinks to school children which had raised lot ofcontroversies in the US.

28. Any decision can be broken down into siximportant decision-making points:

1. Framing – The way the decision is visualized,articulated in the decision maker’s mind: for example aperson deciding to buy a particular Brand X ofair-conditioner may frame his decision as either:“ I need to buy the cheapest possible air-conditioner,therefore I shall buy Brand X”, or , “I need to buy anair conditioner that has the least frequency of aftersales breakdown, therefore, I shall buy Brand X’2. People - The people who are going form part ofthe decision-making process3. Process - The process one is going to follow inmaking the decision4. Alternatives – The alternatives one would considerin arriving at the decision5. Information – The information one would considerin making a decision6. Values – The criteria with respect to which onewould make the decision (e.g in the air-conditionbuying example, a clear set of criteria against whichthe decision could have been made would haveincluded factors such as price, design,product-performance, after-sales service, etc.)

Coke’s decision to adopt certain remedial measures inEurope in the light of the Belgium recall would haveinvolved which of the following decision-makingpoints?

A. Framing, values & processB. People, process & informationC. People, information & valuesD. Values, framing & peopleE. Values, alternatives & people


29. The situation best highlights which of the followingerrors:

A. Managerial short-sightedness in decision-making.B. Inadequate dissemination of information at a criticaljunctureC. Managerial incompetence in handling negativecustomer feedbackD. B and C aboveE. A, B and C above

Question No 30-31: The exclusive school contractsin the US allowed Coke exclusive rights to sell itsproducts – soda, juices, and bottled water - in all thepublic schools of a district. Under the plan, the schoolsgot $350,000 as an “up front” money and apercentage which ranged from 50 percent to65 percent of total sales. The exclusive contract withCoke represented one of the fastest growing areas ofcommercialism of schoolhouses According to theCenter for Commercial-Free Public Education(CCFPE) in April 1998, there were 46 exclusivecontracts between school districts and soft drinkbottlers in 16 states in the US. By July 1999, itincreased to 150 contracts across 29 states.

Critics said that these contracts represented thegrowing trend of commercialization on schoolcampuses. When students saw products advertised intheir schools, they frequently thought that it wassomething that the schools were endorsing. Bydisplaying its logos prominently in public schools,Coke hoped to re-establish brand loyalty and brandrecognition. A study found that the average Americanteenager could identify some 1,000 corporate logos,but could not name even ten plants and animals in thearea where he or she lived.

Parents were concerned about the proliferation oflogos on school scoreboards, walls, buses andtextbooks. Some groups opposed thecommercialization in schools saying that it wasunethical, immoral and exploitative. They criticized theeducation community for encouragingcommercialization in schools. Alex Molnar, Professorof Education, University of Wisconsin, Milwaukee

said, “It is an erosion in our culture between what ispublic and what is private. It represents a subversionof the idea that the school is for the public welfare.”

30. From the passage, which of the followingcannot be concluded as one of the plausible reasonsfor parents being concerned about the proliferation oflogos?A. The logos were a source of distraction for studentsfrom academic workB. The logos actively encouraged teenagers to spendmore on soft drinksC. It seemed that the schools were actively endorsinga soft-drink consuming habit among studentsD. The schools were not passing on the earnings fromthe contracts in the form of fee reduction for studentsE. The exclusive school contracts smacked ofcommercialization and marked a deviation from thepurpose with which schools were set up.

31. The following are the measures the Governmentcould have taken to solve the exclusive schoolcontracts controversy.

1. Cancel the exclusive school contracts2. Limit the display of logos on public school premises3. Reassure the parents that the money obtained byeach school from Coke as part of the contract wasbeing used only for enhancing the school’s facilities4. Get into non-exclusive contracts and allow othersoft-drink manufacturers to display their logos as well.The options in decreasing order of their impact onparents and other protesting groups are:

A. 2, 4, 3, 1B. 1, 3, 2, 4C. 1, 4, 2, 3D. 2, 1, 3, 4E. 4, 2, 1, 3

32. A change management problem surfaced when alarge financial institution (XYZ) decided to focus itsoperations much more sharply around its customers.In the earlier system, if a client had three differentrequirements from XYZ, he had to approach therelevant departments separately. The process was


time-consuming and there was a danger that the clientwould take a portion of the business elsewhere. Totackle this problem the company set up three newdepartments: major client group (MCG), growth clientgroup (GCG) and personal finance group. Now, thecustomer talked only to his representative in MCG orGCG. And these representatives in turn found outwhich department could do the job.

Though the customers seemed to be happy about thisnew arrangement, people within the organization foundit unacceptable. In the major client group, a staff ofabout 30-40 people handled the needs of the top100 customers of XYZ. On the other hand, about 60people manned the growth client group, which lookedafter the needs of mid-size companies. Obviously, thebigger clients required more diverse kinds of services.So working in MCG offered better exposure andbigger orders. The net effect was that the MCGexecutive ended up doing more business than theGCG executive.

Though the top management tried to allay the fears bymentioning that these assignments wereinterchangeable, complaints against these changes putin continued and XYZ was blamed for not putting inadequate systems in place to develop the right people.

The organization is contemplating implementation ofthe following measures in order to deal with thesituation:

1. Reform the compensation structure and put in twodifferent types of structures – a contract basis toattract risk-takers who would fit in the MCG groupand a tenure-based compensation for employees inother groups who would want more job security.2. Impart skills to the different client groups in order tomake members of one group capable of smoothlyhandling assignments when transferred to the othergroup.3. Regularly rotate members from one group toanother in order to give them more opportunity toperform in diverse areas

4. Reduce the pressure on accountablility amongindividual team members to reduce the negative impactof a profit center approach5. Relate rewards to individual performances and notgroup performances and for individual star performersmake the method of selection transparent

Which of the following combination of measures fromamong the above would best suit the organization’sgoals of remaining more customer-focused and alsoreduce the employee anxiety brought about by thechange.

A. 1, 2, 5B. 2, 4, 5C. 1, 3, 4D. 1, 3, 5E. 1, 2, 4

33. XYZ had to face change resistance once again inDecember 2000, when it was merged with ABC.Though XYZ was nearly three times the size of ABC,its staff strength was only 1,400 as against ABC’s2,500. Half of ABC’s personnel were clerks andaround 350 were subordinate staff. There were large differences in profiles, grades,designations and salaries of personnel in the twoentities. It was also reported that there was uneasinessamong the staff of ABC as they felt that XYZ wouldpush up the productivity per employee, to match thelevels of XYZ. ABC employees feared that theirpositions would come in for a closer scrutiny.

The apprehensions of the XYZ employees seemed tobe justified as the working culture at XYZ and ABCwere quite different and the emphasis of the respectivemanagement was also different. While ABCmanagement concentrated on the overall profitabilityof the Bank, XYZ management turned all itsdepartments into individual profit centers and bonusfor employees was given on the performance ofindividual profit center rather than profits of wholeorganization.


In order to implement a smooth HR integrationprocess in view of the merger, XYZ is focusing on thefollowing areas:

1. Employee communication2. Cultural integration3. Recruitment and compensation4. Performance management5. Training6. Employee relations

Which of the following is an activity that would notform part of any of the above agenda?A. Dialogues between the management and theemployee’s union of ABCB. Skill upgradation programs for the clerical staff ofABCC. Formation of individual profit centers for themerged entity based on business focus areasD. Evolving a common structure of grades anddesignations for the employees of ABC and XYZ.E. Formation of recreation clubs at different locationsfor facilitating interaction between employees of thetwo companies

Question No 34-35: In mid-1996, Oprah Winfreyone of the world’s most well-known mediapersonalities and the host of the ‘Oprah WinfreyShow,’ was entangled in a major controversy. Thecontroversy arose because of statements made byOprah and Howard Lyman during an episode of the‘Oprah Winfrey Show’ telecast on April 16 1996.Theshow, based on the theme, ‘Dangerous Food,’ talkedabout the Mad Cow disease and the threat itsupposedly posed to beef consumers in the US. Onthe show, Lyman blamed the practice of feedingrendered livestock (protein derived from cattleremains) to cattle for outbreak of the disease inEurope, which resulted in the death of over 1.5 millioncattle and 20 people in 1996. Lyman’s statementssuggested that beef consumers in the US could alsocontract the human form of the mad cow disease as asimilar practice of feeding livestock was followed inthe US. On the show, Oprah swore that she wouldnever eat a hamburger again in her life.

In May 1996, some cattle producers filed a $10.3million suit against Oprah and Lyman in the Texas statecourt, under the Texas False Disparagement ofPerishable Food Products Act, claiming, businessdisparagement, negligence and defamation. The cattleproducers claimed that Oprah knowingly aired falseand defamatory comments about the threat of madcow disease in the US. The show reportedly had adevastating impact on cattle prices and sales in theUS. Prices fell to a 10-year low within a week of theshow, causing losses exceeding $12 million to thecattle producers.

34. Out of the following which seems to be the mostlikely cause for the cattle producers’ suit?

A. The fact that Oprah publicly swore never to eat ahamburger again in her lifeB. Lyman linking the practice of feeding renderedlivestock to the mad cow diseaseC. The devastating dip in cattle prices and sales withina week following the showD. The discussion of a sensitive topic like the MadCow disease on a popular television networkE. Though Oprah was a popular television personality,she had no real expertise on the Mad Cow disease

35. Which of the following measures taken by theproducers of ‘The Oprah Winfrey Show’ is likely tobe most effective in making the cattle producerswithdraw their lawsuit?

A. Air a second show on the same issue with cattleindustry representatives on the discussion panel toarrive at a balanced perspective on the issueB. Make Oprah Winfrey publicly eat a burger on hershowC. Have David Lyman withdraw his statement linkingthe feeding of rendered livestock to the Mad CowdiseaseD. B and C aboveE. A, B and C above


Question No 36-38: On December 5, 2007, anexplosion occurred at the coal mine owned by RuiZhiyuan Company (RZC) in China. It was yet anotherdeadly coal mining explosion in China reported thatyear. Official estimates suggested that at least 105people might have died immediately in the gasexplosion at RZC. The earlier explosions hadoccurred at Yujialing Coal Mine killing 26 workers inMarch 2007 and Pudeng Coal Mine where 28 mineworkers had died in May 2007. The exact number ofdeaths remained a mystery.

The major reason cited for hazardous conditions incoal mines was the negligent attitude of mine ownerswho allegedly did not pay enough attention toworkplace safety. It was alleged that the mine ownersoften put the lives of the workers at risk by notinvesting in fire control and other equipment, properventilation, etc. In addition, mine owners in Chinaoften breached safety regulations to increaseproduction beyond the permissible level. China reliesheavily on coal due to scarcity in petroleum resources.About two-thirds of the country’s electricity isgenerated by burning coal, making China the largestconsumer and producer of coal in the world. Inaddition to electricity generation, China depends oncoal for running its factories which comprise China’shuge manufacturing base.

The following questions are based on two statements Iand II. Examine the statements and then mark:

A. If statement I is an evidence from the passage andstatement II is a conclusion that must be true based onthat evidence.B. If statement I is an evidence from the passage andstatement II is a conclusion that is not necessarily truebased on that evidence.C. If statement I is not an evidence from the passagebut statement II is a conclusion that must be truebased on that evidence.D. If statement I is not an evidence from the passageand statement II is a conclusion that is not necessarilytrue based on that evidence.E. If statement I is a conclusion based on the passageand statement II is not a conclusion that is necessarilytrue based on the passage.

36. I. Most mine owners in China had a negligentattitude and did not pay enough attention to workplacesafety.II. The heavy reliance of China on coal wasresponsible for mine owners breaching safetyregulations and raising production beyond permissiblelevels.

37. I. Installing effective fire control and ventilationmeasures can enhance safety for those involved inmining operations.II. If the mines of China were run by the governmentinstead of private owners, chances of accident wouldreduce.

38. I. There had been other deadly coal miningexplosions in China prior to the one on December 5,2007.II. It was becoming difficult to find workers for thecoal mines in China.


Analyse the passage given and provide anappropriate answer for the question nos. 39through 44 that follow.

Socialism, which, like the god Vishnu, ever dying andever returning to life, has experienced within a scoreof years its ten-thousandth incarnation in the personsof five or six revelators,- socialism affirms theirregularity of the present constitution of society, and,consequently, of all its previous forms. It asserts, andproves, that the order of civilization is artificial,contradictory, inadequate; that it engendersoppression, misery, and crime; it denounces, not tosay calumniates, the whole past of social life, andpushes on with all its might to a reformation of moralsand institutions.

Socialism concludes by declaring political economy afalse and sophistical hypothesis, devised to enable thefew to exploit the many; and applying the maxim Afructibus cognoscetis, it ends with a demonstration ofthe impotence and emptiness of political economy bythe list of human calamities for which it makes itresponsible.

But if political economy is false, jurisprudence, whichin all countries is the science of law and custom, isfalse also; since, founded on the distinction of thineand mine, it supposes the legitimacy of the factsdescribed and classified by political economy. Thetheories of public and international law, with all thevarieties of representative government, are also false,since they rest on the principle of individualappropriation and the absolute sovereignty of wills.All these consequences socialism accepts. To it,political economy, regarded by many as the physiologyof wealth, is but the organization of robbery andpoverty; just as jurisprudence, honored by legists withthe name of written reason, is, in its eyes, but acompilation of the rubrics of legal and officialspoliation,- in a word, of property. Considered in theirrelations, these two pretended sciences, politicaleconomy and law, form, in the opinion of socialism,the complete theory of iniquity and discord. Passing

SECTION B : VERBAL AND LOGICAL ABILITY

then from negation to affirmation, socialism opposesthe principle of property with that of association, andmakes vigorous efforts to reconstruct social economyfrom top to bottom; that is, to establish a new code, anew political system, with institutions and moralsdiametrically opposed to the ancient forms. Thus theline of demarcation between socialism and politicaleconomy is fixed, and the hostility flagrant. Politicaleconomy tends toward the glorification of selfishness;socialism favors the exaltation of communism.

The economists, saving a few violations of theirprinciples, for which they deem it their duty to blamegovernments, are optimists with regard toaccomplished facts; the socialists, with regard to factsto be accomplished. The first affirm that that whichought to be IS; the second, that that which ought to beIS NOT. Consequently, while the first are defenders ofreligion, authority, and the other principlescontemporary with, and conservative of, property, -although their criticism, based solely on reason, dealsfrequent blows at their own prejudices, – the secondreject authority and faith, and appeal exclusively toscience – although a certain religiosity, utterly illiberal,and an unscientific disdain for facts, are always themost obvious characteristics of their doctrines.

For the rest, neither party ever ceases to accuse theother of incapacity and sterility.

The socialists ask their opponents to account for theinequality of conditions, for those commercialdebaucheries in which monopoly and competition, inmonstrous union, perpetually give birth to luxury andmisery; they reproach economic theories, alwaysmodeled after the past, with leaving the futurehopeless; in short, they point to the regime of propertyas a horrible hallucination, against which humanity hasprotested and struggled for four thousand years.

The economists, on their side, defy socialists toproduce a system in which property, competition, andpolitical organization can be dispensed with; theyprove, with documents in hand, that all reformatory


projects have ever been nothing but rhapsodies offragments borrowed from the very system thatsocialism sneers at, – plagiarisms, in a word, ofpolitical economy, outside of which socialism isincapable of conceiving and formulating an idea.

Every day sees the proofs in this grave suitaccumulating, and the question becoming confused.While society has traveled and stumbled, suffered andthrived, in pursuing the economic routine, thesocialists, since Pythagoras, Orpheus, and theunfathomable Hermes, have labored to establish theirdogma in opposition to political economy. A fewattempts at association in accordance with their viewshave even been made here and there: but as yet theseexceptional undertakings, lost in the ocean of property,have been without result; and, as if destiny hadresolved to exhaust the economic hypothesis beforeattacking the socialistic utopia, the reformatory party isobliged to content itself with pocketing the sarcasms ofits adversaries while waiting for its own turn to come.

This, then, is the state of the cause: socialismincessantly denounces the crimes of civilization, verifiesdaily the powerlessness of political economy to satisfythe harmonic attractions of man, and presents petitionafter petition; political economy fills its brief withsocialistic systems, all of which, one after another, passaway and die, despised by common sense. Thepersistence of evil nourishes the complaint of the one,while the constant succession of reformatory checksfeeds the malicious irony of the other. When willjudgment be given? The tribunal is deserted;meanwhile, political economy improves itsopportunities, and, without furnishing bail, continues tolord it over the world; possideo quia possideo.

If we descend from the sphere of ideas to the realitiesof the world, the antagonism will appear still moregrave and threatening. When, in these recent years,socialism, instigated by prolonged convulsions, madeits fantastic appearance in our midst, men whom allcontroversy had found until then indifferent andlukewarm went back in fright to monarchical andreligious ideas; democracy, which was charged withbeing developed at last to its ultimate, was cursed anddriven back.

39. According to the passage, socialism measures thesuccess of the political economy by

A. Comparing it to the incarnation of the god Vishnu.B. Judging it by the fruits of its work.C. Proving that the order of civilization is false.D. Vouching for the oppression in the society.E. Investigating the lack of reformation of morals andinstitutions.

40. What, according to the passage, is the line ofdifferentiation between political economy andsocialism?

A. Political economy leans toward the veneration ofselfishness; socialism favours the adulation ofcommunism.B. Political economy tends to the disregard forselfishness; socialism favours the downfall ofcommunism.C. Political economy veers toward discounting ofselfishness; socialism favours the exaltation ofcommunism.D. Political economy is for the sacrifice of selfishnessand socialism defends the spread of communism.E. Political economy favours the glorification ofselflessness; socialism favours the demystification ofcommunalism.

41. Which of the following, according to the passage,sets the economists and the socialists apart?

A. The socialists think ahead of the times and theeconomists dwell on the past.B. The economists are atheists whereas the socialistsare agnostics.C. The economists are positive about realizedobjectives, the socialists about the ones yet to beattained.D. The socialists are communists and the economists’imperialists.E. The economists are disdainful about science and thesocialists hold the government responsible for alliniquity in society.


42. Why does the mantle of falsity descend ontojurisprudence and political economy, according to thepassage?

A. Because both believe in oppression and misery.B. Because both give rise to crime.C. Because both are harbingers of lawlessness.D. Because both ignore the existence of poverty.E. Because both promote individual acquisitions.

43. In the passage, the economists seek to confrontthe socialists through which of the following?

A. By challenging them to produce a regime ofcommercialization.B. By daring them to do without belongings.C. By demanding a system which is free frommaterialism.D. By flouting their reformatory projects as merecopies of the old order.E. By seeking a structure devoid of assets, oppositionand followings.

44. Which of the following could be a reason whypolitical economy continues to lord it over the world?

A. Socialism loses out on account of destiny.B. Political economy is a utopian state.C. Socialism is overcome by wickedness.D. Material goods prevail over socialism.E. Sarcasms deter socialistic systems.

Directions (45-47): The sentences given in eachquestion, when properly sequenced, form a coherentparagraph. Each sentence is labelled with a number.Choose the most logical order of sentences among thegiven choices to construct a coherent paragraph.

45:1. I suspect that part of the appeal lies in an intrinsic

quality of the images themselves, namely the imagestatistics that underlie what we perceive to benatural images.

2. Both the “Mountains of Creation ” of Spitzerand Moran’s “The Teton Range” communicatesomething topographic that results from the

manner in which the overall scale relates to itscragginess.

3. Real-world images contain structural informationover a range of scales that communicatesverisimilitude.

4. As we attempt to capitalize on the publicoutreach potential, we should take a moment toconsider the quality of people’s aesthetic responseby considering the study of Hubble imagery, bydoctoral student Elizabeth Kessler who comparedHubble imagery to paintings by members of theHudson School, such as Albert Bierstadt orThomas Moran: “The Hubble images are part ofthe Romantic landscape tradition — they fit thatpopular, familiar model of what the natural worldshould look like.”

A. 1 - 2 - 3 - 4B. 4 - 3 - 2 - 1C. 4 - 1 - 3 - 2D. 3 - 1 - 2 - 4E. 1 - 3 - 4 - 2

46:1. The chaos experienced by the Penan is not a part

of their traditional religious imaginations, not amyth and not a ritual construct - It is an alarmingfact.

2. Order cannot be maintained and “the chaotic”gradually takes over; however, this chaos is not ofthe creative kind that is periodically embraced inorder to refresh life, as we know it from othercultures. It is not a chaotic disintegration that isnecessary for a new order to come about, as weknow it from numerous myths and rituals.

3. The interpretation of what the birds relate takesplace in social interaction between human beings -When the forest dies and the birds go away, thereare no divinatory messages to interpret, andtherefore neither a physical, nor a social-cognitivespace in which the Penan can operate: thus peopleloose their sense of orientation and their sense ofmeaning.

4. But what do you do if that, which used to defineyour direction, is gone? The people I met were indistress as they felt abandoned and confused: The


implicit map that used to be drawn by the birds isno longer created, and the precondition for themost important social events, the nomadicmovements in the landscape and the hunt, is gone:“People with no direction and no purpose”, theman said.

A. 1 - 2 - 3 - 4B. 3 - 4 - 1 - 2C. 2 - 1 - 3 - 4D. 1 - 4 - 2 - 3E. 4 - 3 - 2 - 1

47:1. Irish-Argentines have had a significant influence in

football, rugby, field hockey, basketball, polo andother sports. Relations between Ireland and theregion were enhanced through frequent sportingcontacts.

2. Central to this is the influence Irish immigrants andArgentines of Irish origin have had on thedissemination and development of these sports. Inaddition to this, a specific contribution was madewith the introduction of hurling to Argentina.

3. The prominence given to the successes ofArgentina in a wide variety of sports in recenttimes, in particular those of British origin, hascreated a greater awareness of the importantcontribution ingleses have made to the diffusion ofthe sport in Latin America and Iberia through thebonds of informal empire.

4. As Ireland has now become a net recipient ofmigrants and home to communities from LatinAmerica and Iberia, it is likely that in the futurethey will in turn make their mark in those sportswhich the Irish played a part in diffusing anddeveloping in their countries of origin.

A. 2 - 1 - 4 - 3B. 3 - 2 - 1 - 4 C. 4 - 1 - 2 - 3D. 3 - 4 - 2 -1E. 1 - 2 - 3 - 4

Directions: (48-56): Go through the caseletsbelow and answer the questions that follow.

48. Employee recognition can help companies buildand maintain engaged workforces that are productive,conscientious and loyal. But to be effective,recognition programs must touch a large portion of theworkforce, emphasize timely acknowledgement andallow organizations to reap benefits that enhance theemployer-employee relationship. When employeerewards and recognition initiatives are discussed withsenior management, office parties and one-off giftcertificates typically come to mind.

Efforts often involve discretionary spending withoutmeasurable outcomes or business impact. Long-termstrategic planning often is neglected, putting the valueand sustainability of recognition and rewards programsat risk.

A person seeking to defend the argument thatemployee recognition initiatives are effective mightargue that

A. Employee recognition is gaining ground these days.B. Employee recognition in whatever form is a solacefor most.C. Employee recognition helps organizations garnerhuge advantages.D. High attrition rates deter long term planning.E. Rewards and recognition initiatives are on thedecline currently.

49. During the past 20 years, the audience for publicradio has increased by 500%, and currently, there arenearly 30 million weekly public radio listeners. Whilemany of us rely on public radio for unbiased and in-depth news, diverse music, and cultural programming,there are still millions of people nationwide who havelimited access to public radio programs. Thus, withadditional public radio stations and program options,more people could connect to their communities andworld through the voices of public radio.

Which of the following is true?


A. The point above contradicts the speaker’sargument.B. The point above extends the speaker’s argument.C. The point above is similar to the speaker’sargument.D. The point above concludes the speaker’sargument.E. The point above strengthens the speaker’sargument.

50. Peace of mind and heart does not meanacceptance of everything that happens. It does meanletting go of fear. When you live life fearlessly, youexperience a kind of peace that permeates every cellof your body, every thought of your mind, everyemotion of your heart, every element of your spirit.

Which of the following, if true, would weaken thespeaker’s argument the most?

A. Without effectively connecting to other humans, youbecome less than human yourself.B. In order to evolve into a state of acceptance, youmust develop to value life in all its forms.C. Fear helps us to be careful and avoid danger in life.D. Life is in a constant state of flux, of change, ofrhythm and of evolution.E. The pursuit of peace is not something you attainfrom outside your skin; it develops from within.

51. The most common type of boss isn’t a villain. Thisperson falls in the Respectable Professional categoryfor 29 percent of employees. Employees view themwith respect and believe them to be honest andreliable. However, Respectable Professionals aretask-driven and conduct business operationsefficiently, only displaying flexibility when required.These bosses tend to maintain a professional distanceand fail to make the company a fun place to work.

Which of the following best summarizes the aboveparagraph?

A. Tough, controlling and ruthless, the Taskmastersaren’t seen as ethical, honest or intelligent.

B. Seen as tough, controlling and task driven, theTaskmaster is not cheerful or peaceful, but focused onachieving goals.C. The Taskmaster rates higher on both ethics andcompetence, but doesn’t engender much employeeloyalty.D. Caring Mentors are highly relational and greatlyappreciated by their direct reportees.E. Most direct reportees characterize the Taskmastersas inconsistent and clueless; these managers have thelowest employee engagement.

52. In these times of fiscal correctness, it is heresy tocall for expansionary fiscal policy to revive theeconomy. However sound economics underpins sucha prescription even if it sounds like the wild cry of aslump struck corporate bothered only about its ownbottomline.

Which if true would lend support to the author’s viewon fiscal policy?

A. In the past, most governments have adopted aconservative attitude in the face of an economic slump.B. Expansionary fiscal policy would be welcomed bybusiness houses that have been overwhelmed by theslump.C. Expansionary fiscal policy leading to moreexpenditure would encourage production in adepressed economy.D. Sound economics suggests that to increase fiscalexpenditure during a depression would raise theimport bill and adversely affect the trade deficit.E. Fiscal policies are often used as tools to provoke areaction in the market.

53. Easy import of goods and services spurred by freetrade policies introduce goods of various types andquality into the domestic economy. The consumerinstead of the government gets the right to choose orreject a foreign product. By treating imports anddomestic goods at the same level, the governmentencourages competition which is essential to improveproductivity and lower costs, both are in turn essentialto improve the plight of the poor.


Which of the following if true would strengthen thecase for free trade?

A. Consumers are likely to opt for imported productsas they are of superior quality.B. Domestic producers, who enjoy lower costs ofproduction have an edge over the producers ofimported products in terms of price.C. Domestic producers have easy access to technicalknowledge and face lower costs ofproductionD. Consumers are unlikely to increase their level ofexpenditure because of the introduction of a widevariety of imported goods.E. The removal of restrictions on imports will result inthe loss of an avenue for revenue collection.

54. The TV entertainment industry is evolving and withit its attitudes towards research. The industry is movingaway from its chaotic roots in the direction ofincreased professionalization. TV software companiesthat once consisted of no more than scripts, studiosand salesmanship are now proper corporate entitieswith access to formal sources of funding. Instead ofentrepreneurs leading by instinct, you’re gettingprofessional with MBA degrees and experience inestablished companies.

Which of the assumptions would weaken the claims ofincreased professionalism in the Television industry?

A. The artists working on TV shows are paid on acontractual basis and are not regarded as employees.B. Banks and financial institutions are wary of lendingmoney to TV producers as the producers are unableto furnish necessary documents.C. Many management graduates who have opted for acareer in television are satisfied with their jobs.D. Quite a few television producers see the industry asan avenue for making quick money.E. None of the above.

55. With the advent of mobile phones last year, thenumber of automobile accidents has increased. Talkingon the mobile phone distracts the driver’s attentionand hence causes accidents.

All of the following could be used to weaken theargument except.

A. The number of cars on the road has increased inthe last year.B. Radio stations have aired more interestingprogrammes in the last year which distracts thedriver’s attention.C. Due to poor maintenance, the road conditions haveworsened over the last year.D. Most of the mobile phones were sold to peoplewho spend atleast 4 hours driving everyday.E. Most mobile owners travel in chauffeur driven cars.

56. Granted we all need self confidence and a goodself image. However when confidence turns to conceit,people invite the proverbial downfall. Some invertideologists train their pupils to develop an unjustifiedadulation of their own personal judgement causingwhole societies to collapse from ideologies that nurtureinternal thought conceit.

Which of the following statements best highlights theabove mentioned problem?

A. We can be impartial in one area of our lives andplagued by prejudice in another.B. It takes wrenching experiences to tear us awayfrom our own thought conceit.C. People have difficulty recognizing thought conceit inthemselves.D. Not all educators teach respect for self-disciplineand humility.E. Education tends to wean students away fromthought conceit.


Computer programmers often remark that computingmachines with a perfect lack of discrimination will doany foolish thing that they are told. The reason for thislies of course in the narrow fixation of the computingmachine’s “intelligence” upon the basely typographicaldetails of its own perceptions—its inability to be


guided by any large context. In a psychologicaldescription of the computer intelligence, three relatedadjectives push themselves forward:single-mindedness, literal-mindedness,simple-mindedness. Recognizing this, we should at thesame time recognize that this single-mindedness,literal-mindedness, simple-mindedness alsocharacterizes theoretical mathematics, though to alesser extent.

It is a continual result of the fact that science tries todeal with reality that even the most precise sciencesnormally work with more or less ill-understoodapproximations toward which the scientist mustmaintain an appropriate skepticism. Thus, for instance,it may come as a shock to the mathematician to learnthat the Mober equation for the hydrogen atom, whichhe is able to solve only after a considerable effort offunctional analysis and special function theory, is not aliterally correct description of this atom, but only anapproximation to a somewhat more correct equationtaking account of spin, magnetic dipole, and relativisticeffects; that this corrected equation is itself only anill-understood approximation to an infinite set ofquantum field-theoretical equations; and finally hat thequantum field theory, besides diverging, neglects amyriad of strange-particle interactions whose strengthand form are largely unknown. The physicist, lookingat the original Mober equation, learns to sense in it thepresence of many invisible terms, integral,integrodifferential, perhaps even more complicatedtypes of operators, in addition to the differential termsvisible, and this sense inspires an entirely appropriatedisregard for the purely technical features of theequation which he sees. This very healthy self-skepticism is foreign to the mathematical approach.

Mathematics must deal with well-defined situations.Thus, in its relations with science mathematics dependson an intellectual effort outside of mathematics for thecrucial specification of the approximation whichmathematics is to take literally. Give a mathematician asituation which is the least bit ill-defined—he will firstof all make it well defined. Perhaps appropriately, bitperhaps also inappropriately. in other cases, themathematician’s habit of making definite his

literal-mindedness may have more unfortunateconsequences. The mathematician turns the scientist’stheoretical assumptions, i.e., convenient points ofanalytical emphasis, into axioms, and then takes theseaxioms literally. This brings with it the danger that hemay also persuade the scientist to take these axiomsliterally. The question, central to the scientificinvestigation but intensely disturbing in themathematical context—what happens to all this if theaxioms are relaxed?—is thereby put into shadow.

The physicist rightly dreads precise argument, since anargument which is only convincing if precise loses allits force if the assumptions upon which it is based areslightly changed, while an argument which isconvincing though imprecise may well be stable undersmall perturbations of its underlying axioms.

57. The author discusses computing machines in thefirst paragraph in order to

A. indicate the dangers inherent in relying to a greatextent on machines.B. illustrate his views about the approach ofmathematicians to problem solving.C. compare the work of mathematicians with that ofcomputer programmers.D. provide a definition of intelligence.E. stress the importance of computers in moderntechnological society.

58. Scientists are skeptical towards their equationsbecause scientists

A. work to explain real situations which are manytimes based on approximations.B. know that well-defined problems are often the mostdifficult to solve.C. are unable to express their data in terms of multiplevariables.D. are unwilling to relax the axioms they havedeveloped.E. are unable to accept mathematical explanations ofnatural phenomena.


59. Mathematicians present a danger to scientists forwhich of the following reasons?

A. Mathematicians may provide theories that areincompatible with those already developed byscientists.B. Mathematicians may define situations in a way thatis incomprehensible to scientistsC. Mathematicians may convince scientists thattheoretical assumptions are facts.D. Scientists may come to believe that axiomaticstatements are untrue.E. Scientists may begin to provide arguments that areconvincing but imprecise.

60. The author suggests that a mathematician asked tosolve a problem in an ill-defined situation would firstattempt to do which of the following?

A. Identify an analogous situation.B. Simplify and define the situation.C. Vary the underlying assumptions of a description ofthe situation.D. Determine what use would be made of the solutionprovided.E. Evaluate the theoretical assumptions that mightexplain the situation.

61. The author implies that scientists develop a healthyskepticism because they are aware that

A. Mathematicians are able to solve problems betterthan scientistsB. Changes in axiomatic propositions will inevitablyreinforce scientific arguments.C. Well-defined situations are necessary for the designof reliable experiments.D. Mathematical solutions cannot be applied to realproblems.E. Some factors in most situations must remainunknown.

Directions (62-66): Choose the appropriate wordsto fill in the blanks.

62. To have a few things to desire and many things tofear is a miserable state of mind, commonly seen in thecase of kings; which makes their mind _____ . They

have many representations of _____ and shadows,which makes their mind _____

A. languishing, perils, uncertainB. pining, risks, unclearC. puissant, hazards, pellucidD. lassitude, problems, limpidE. reinforced, risks, uncertain

63. To apprehend Dicken’s mode of experience hisway of _______ the world, one must turn, not to the_________ statements so well __________ to the“speculative thought” of the philosopher, but rather tothe non - discursive materials that point a picture without explaining its significance.

A. discovering, concise, reconciledB. finding, excursive, suitedC. perceiving, discursive, adaptedD. discerning, digressive, conformedE. probing, invalid, suited

64. The Greeks believed that too much power_________ in one person was dangerous. They werethe first democratic society in the ________ world ofkings and emperors. They were proud of their________ and maintained their ________ belief inrule by many.

A. induced, turbulent, theory, flaccidB. endowed, tempestuous, ideals, frailC. endued, tumultuous, doctrine, flimsyD. entrusted, tumultuous, ideology, ferventE. endowed, turbulent, axiom, frail

65. Beowulf and Gilgamesh are both epics that showstruggles and _______ of the stories’ heroes and havesimilar _______ basics, but they are also different inmany aspects. Most stories contain _______ usagesof literary devices such as similes, kennings and___________ .

A. washouts, literate, varied, alliterativeB. washouts, literary, several, alliterationC. triumphs, literate, several, alliterativeD. triumphs, literary, diverse, alliterationE. washouts, literate, little, alternatives


66. At a time when India is being _________ foreverything from its growing economy to its youthfulworkforce, its languages are getting a much neededboost from the _________ of cool. “It’s a massmovement that is happening”, Dixit says. Youngstersare suddenly _________ that our country is also hipand cool. It doesn’t matter what language you sing in,you just have to be able to sing with _________ .

A. applauded, purveyors, realizing, convictionB. cheered, procurer, appreciating, certaintyC. acclaimed, assistants, appreciating, convictionD. complimented, procurer, realizing, certaintyE. lauded, assistants, proclaiming, excitement

Question 67-70: The poem given below is followedby a set of questions. Choose the most appropriateanswer to each question.

When I see birches bend to left and rightAcross the lines of straighter darker trees,I like to think some boy’s been swinging them.But swinging doesn’t bend them down to stay.Ice-storms do that.Often you must have seen themLoaded with ice a sunny winter morningAfter a rain. They click upon themselvesAs the breeze rises, and turn many-colouredAs the stir cracks and crazes their enamel.Soon the sun’s warmth makes them shed crystal shellsShattering and avalanching on the snow-crustSuch heaps of broken glass to sweep awayYou’d think the inner dome of heaven had fallen.

They are dragged to the withered bracken by the load,And they seem not to break; though once they arebowedSo low for long, they never right themselves:You may see their trunks arching in the woodsYears afterwards, trailing their leaves on the ground,Like girls on hands and knees that throw their hairBefore them over their heads to dry in the sun.But I was going to say when Truth broke inWith all her matter-of-fact about the ice-storm,I should prefer to have some boy bend them

As he went out and in to fetch the cows–Some boy too far from town to learn baseball,Whose only play was what he found himself,Summer or winter, and could play alone.

One by one he subdued his father’s treesBy riding them down over and over againUntil he took the stiffness out of them,And not one but hung limp, not one was leftFor him to conquer.He learned all there wasTo learn about not launching out too soonAnd so not carrying the tree awayClear to the ground.He always kept his poiseTo the top branches, climbing carefullyWith the same pains you use to fill a cupUp to the brim, and even above the brim.Then he flung outward, feet first, with a swish,Kicking his way down through the air to the ground.So was I once myself a swinger of birches.And so I dream of going back to be.It’s when I’m weary of considerations,And life is too much like a pathless woodWhere your face burns and tickles with the cobwebsBroken across it, and one eye is weepingFrom a twig’s having lashed across it open.I’d like to get away from earth awhileAnd then come back to it and begin over.May no fate wilfully misunderstand meAnd half grant what I wish and snatch me awayNot to return.Earth’s the right place for love:I don’t know where it’s likely to go better.I’d like to go by climbing a birch tree –And climb black branches up a snow-white trunkToward heaven, till the tree could bear no more,But dipped its top and set me down again.That would be good both going and coming back.One could do worse than be a swinger of birches.


67. According to the opening lines of the passage,which of the following was the reason for the birchesgetting bent?

A. The darker trees were usually bent.B. A boy had been swinging them.C. The rains typically did it.D. The ice-storms had been at work.E. It was a part of the speaker’s mind’s eye.

68. The poet uses which of the following metaphors todescribe the melting snow on the birches in thepassage?

A. EnamelB. Snow-crustC. Crystal shellsD. Inner domeE. Broken glass

69. According to the passage, the boy learnt which ofthe following lessons from the trees?

A. That it was important to control the trees.B. It was important to ride over them again and again.C. That the trees were important playmates.D. That one should be entirely prepared beforestarting out in life.E. That one should conquer with great speed.

70. The line “And life is too much like a pathlesswood”, in the perspective of the passage, refers towhich of the following:

A. That human beings are like the pathless woods.B. That our lives are governed by the woods.C. That our emotions hold the key to our decisions inlife.D. That it’s is very easy to lose our way in the forest.E. That life does not throw up discernable paths.

Questions No 71-72: Each of the following questionshas a paragraph from which the last sentence has beendeleted. From the given options, choose the sentencethat completes the paragraph in the most appropriateway.

71. The growth during 2007 was driven by theemerging markets. The number of dollar millionairescreated by India’s red hot economy grew by 22.7%;China followed with growth of 20.3% and Brazil camenext with a 19.1% expansion in the high net worthpopulation. There had been a divergence betweenmature and emerging markets in the second half of theyear. Mature economies had significantly slowergrowth compared to other regions and compared tolast year. _________________

A. China’s stock market grew by 291% and theBovespa in Sao Paulo expanded by 93%, as foreigninvestors flooded into Brazil.B. In the UK, the market capitalisation of the Londonstock market contracted by 1.5% during 2007.C. The acceleration in mature markets was supportedby soaring local stock markets.D. The number of dollar millionaires in Eastern Europegrew at 14.3%, compared with growth of 3% inWestern Europe.E. Total market capitalisation of the Bombay exchangeexpanded by 118% during 2007.

72. There are as many photographs of UFOs as thereare of the Loch Ness Monster, and they are of equalquality: blurs and forgeries. Oddly, the advent ofinexpensive video cameras has corresponded to adecrease in UFO sightings. Other physical evidence,such as alleged debris from alien crashes, or burnmarks on the ground from alien landings, or implants innoses or brains of alien abductees, have turned out tobe quite terrestrial, including forgeries._________________

A. The main reasons for believing in UFOs are thequestionable interpretations of visual experiences andthe inability to distinguish science fiction from science.B. UFOs are the products of the creative imaginationthey serve a poetic and an existential function.C. The main reasons for believing in UFOs are thewillingness to trust incompetent men telling fantasticstories and the ability to distrust all contrary sources.D. Belief in aliens and UFOs is akin to belief insupernatural beings.E. UFOlogy is the mythology of the space age, ratherthan angels ... we now have ... extraterrestrials.



In one of the many letters he wrote to his son in the1740s, Lord Chesterfield offered the following advice:“There is time enough for everything in the course ofthe day, if you do but one thing at once, but there isnot time enough in the year, if you will do two things ata time.” To Chesterfield, singular focus was not merelya practical way to structure one’s time; it was a markof intelligence. “This steady and undissipated attentionto one object, is a sure mark of a superior genius; ashurry, bustle, and agitation, are the never-failingsymptoms of a weak and frivolous mind.”

In modern times, hurry, bustle, and agitation havebecome a regular way of life for many people—somuch so that we have embraced a word to describeour efforts to respond to the many pressing demandson our time: multitasking. Used for decades todescribe the parallel processing abilities of computers,multitasking is now shorthand for the human attempt todo simultaneously as many things as possible, asquickly as possible, preferably marshalling the powerof as many technologies as possible.

In the late 1990s and early 2000s, one sensed a kindof exuberance about the possibilities of multitasking.Advertisements for new electronic gadgets—particularly the first generation of handheld digitaldevices—celebrated the notion of using technology toaccomplish several things at once. The wordmultitasking began appearing in the “skills” sections ofrésumés, as office workers restyled themselves ashigh-tech, high-performing team players.

But more recently, challenges to the ethos ofmultitasking have begun to emerge. Numerous studieshave shown the sometimes-fatal danger of using cellphones and other electronic devices while driving, forexample, and several states have now made thatparticular form of multitasking illegal. In the businessworld, where concerns about time-management areperennial, warnings about workplace distractionsspawned by a multitasking culture are on the rise.

In 2005, the BBC reported on a research study,funded by Hewlett-Packard and conducted by theInstitute of Psychiatry at the University of London, thatfound, “Workers distracted by e-mail and phone callssuffer a fall in IQ more than twice that found inmarijuana smokers.” The psychologist who led thestudy called this new “infomania” a serious threat toworkplace productivity.

Multitasking might also be taking a toll on theeconomy. One study by researchers at the Universityof California, monitored interruptions among officeworkers; they found that workers took an average oftwenty-five minutes to recover from interruptions suchas phone calls or answering e-mail and return to theiroriginal task. Discussing multitasking with the NewYork Times in 2007, Jonathan B. Spira, an analyst atthe business research firm Basex, estimated thatextreme multitasking—information overload—coststhe U.S. economy $650 billion a year in lostproductivity.

To better understand the multitasking phenomenon,neurologists and psychologists have studied theworkings of the brain. In 1999, Chief of cognitiveneuroscience at the National Institute of NeurologicalDisorders and Stroke , used functional magneticresonance imaging (fMRI) scans to determine thatwhen people engage in “task-switching”—that is,multitasking behavior—the flow of blood increases toa region of the frontal cortex called Brodmann area10. (The flow of blood to particular regions of thebrain is taken as a proxy indication of activity in thoseregions.) “This is presumably the last part of the brainto evolve, the most mysterious and exciting part,”Grafman told the New York Times in 2001—adding,with a touch of hyperbole, “It’s what makes us mosthuman.”

It is also what makes multitasking a poor long-termstrategy for learning. Other studies, such as thoseperformed by psychologist René Marois, have usedfMRI to demonstrate the brain’s response to handlingmultiple tasks. Marois found evidence of a “responseselection bottleneck” that occurs when the brain isforced to respond to several stimuli at once.


As a result, task-switching leads to time lost as thebrain determines which task to perform. PsychologistDavid Meyer at the University of Michigan believesthat rather than a bottleneck in the brain, a process of“adaptive executive control” takes place, which“schedules task processes appropriately to obeyinstructions about their relative priorities and serialorder,” as he described to the New Scientist. Unlikemany other researchers who study multitasking, Meyeris optimistic that, with training, the brain can learn totask-switch more effectively, and there is someevidence that certain simple tasks are amenable tosuch practice. But his research has also found thatmultitasking contributes to the release of stresshormones and adrenaline, which can cause long-termhealth problems if not controlled, and contributes tothe loss of short-term memory.

73. By the reference to Lord Chesterfield, the passageemphasizes which of the following:

A. Multitasking changes the way people learn.B. Multitasking is not for the successful.C. In multitasking, learning is less flexible and morespecialized.D. Focus is superior to multitasking - which can bedetrimental.E. Multitasking develops the brain.

74. What, according to the passage, has revealedextensive gaps in the spirit of multitasking?

A. The hurry, bustle, and agitation have become aregular way of our life.B. Efforts are required to respond to the manypressing demands on our time.C. The aftermath of multitasking is doing the rounds.D. Resistance to the mindset of multitasking isappearing.E. Multitasking is taking a toll on the economy.

75. Which of the following best represents the keyargument made by the author?

A. There are several factors that increase thelikelihood of multitasking.B. When we force ourselves to multitask, we’redriving ourselves to be less efficient in the long runeven though it sometimes feels like we’re being moreefficient.C. Today, our collective will to pay attention seemsfairly weak.D. People who have achieved great things often creditfor their success a finely honed skill for payingattention.E. Multitasking has become the norm in today’scorporate world.

76. According to the passage, Brodmann area 10

A. Hinders multitasking.B. Facilitates multitasking.C. Makes us value based.D. Acts as a mental governor.E. Is esoteric.


77. For the nine-digit number 2982a7645,following operation is performed:|2 – 9| + |9 – 8| + …+ |6 – 4| + |4 – 5|.For which of the following values of ‘a’ will the abovesummation be maximum? (| | represents the modulusfunction)

A. 0B. 2C. 8D. 9E. Both (A) and (D)

78.

Share (May 2008)

24

6

24

8

4

0-2

02

0

-4-202468

10

1 2 3 4 5 6 7 8 9 10 11 12

Day of Month

Per

cent

age

grow

th

The above graph represents the percentage growth inthe value of a share in a stock market. Its value onday 0 (the day on which it was issued) was Rs.30.Which of the following statements is true?

A. The maximum value of the share was on day 6.B. The minimum value of the share was on day 9.C. The value of share on day 6 was greater than thaton day 9.D. The maximum and the minimum value of share wason day 8 (or day 7) and day 0 respectively.E. None of these.

Questions 79-80: At a European languages school,students can enroll in one of the three languagecourses viz. German, French and Spanish. Thenumber of students enrolled in French language courseis 15. The total number of girls enrolled in Germanlanguage course and the number of boys enrolled in

SECTION C : DATA INTERPRETATION AND QUANTITATIVE ABILITY

Spanish language course is 25. Twenty one studentsare enrolled in Spanish language course. Eighteen boysare enrolled in German and Spanish language courses.The number of students enrolled in German languagecourse is 33.

79. If the ratio of the number of girls to the numberof boys enrolled at this school is 2:1, then howmany girls are enrolled in French language course?

A. 8B.10C.12D. 7E.13

80. If the number of boys enrolled in German languagecourse is the same as the number of girls enrolled inFrench language course then how many boys areenrolled at the school?

A. 10B. 20C.30D. 40E. 50

81. Mr. Fruitwala had a total of 100 kg apples,100 kg oranges and some mangoes in the morning.After the whole day of work he noticed that he hassold 67% of the apples, 73% of the oranges and Y%of the mangoes. If he had sold 75% of the apples and80% of the oranges and (Y + 3.33)% of the mangoes,then the increase in his sales would have been 5% ofthe total quantity of fruits with him in the morning.What is the approximate total weight (in kgs) of themangoes he had in the morning?

A. 100B. 200C. 300D. 400E. 500


82. A, B and C have certain number of coins withthem. The ratio of the number of coins with A and Cis 1:3 and the ratio of the number of coins with C andB is 2:7. If the number of coins with B is 18 more thansix times the number of coins with A, then find thetotal number of coins with A, B and C.

A. 87B. 54C. 29D. 116E. 58

For questions 83-86, a statement is followed bythree conclusions. Select the answer from thefollowing options.

A. Using the given statement, only conclusion I andconclusion II can be derived.B. Using the given statement, only conclusion II andconclusion III can be derived.C. Using the given statement, only conclusion III andconclusion I can be derived.D. Using the given statement all conclusions I, II andIII can be derived.E. Using the given statement, none of the threeconclusions I, II and III can be derived.

83. An operation is defined by

11 for X Y

XX*Y1

1 for X YY

+ ≥ =

− <

Conclusion I: (–3*1)*(–1*3)1

– .2

=

Conclusion II: (2*2)*(1*2)5

.3

=

Conclusion III: (–1*–2)*(–3*–4) = (–3*1)*(–1*3)

84. 'X', 'Y', 'Z' are positive real numbers such that

2 Z 4Y 1X X 0 and ZX > 2.

2YZ YZ

+ − + <

Conclusion I: 2Z > Y.Conclusion II: 2Y > Z.Conclusion III: 4Y < Z.

85. F is a function such that F(x) = x4 – bx2 + 1, forall real values of ‘x’ and ‘b’ is any real constant.

Conclusion I: Minimum possible value of F(x) is at

bx ,

2= if b > 0.

Conclusion II: Roots of F(x) = 1 are equal butopposite in sign.Conclusion III: The maximum possible value of F(x) is

b.

12

86. Given that A, B and C are distinct prime numberssatisfying A + B + C = 19.

Conclusion I: A × B + B × C + C × A = 103.Conclusion II: A – B + C = 13.

Conclusion III:1 1 1 103

.A B C 165

+ + =

87. Let A = {2, 22, 23, 24, 25, 26} andB = {2, 4, 6, 8, 10, 12}. Find the number of elementsin (A B) (B A).× ∩ ×

A. 3B. 7C. 9D. 11E. 15

Question 88-90: Following is a 4 × 4 grid filled withletters A, B, C and D in the given manner. Each of theletters A, B, C and D is a natural number less than 50.Also, each of the letters A, B, C and D is a multiple 5.The sum of the letters filled in the cells that form thediagonals of the grid is 80. Also, A is the largest amongthe four mentioned letters.

A B C DB C D AC D A BD A B C


88. What is the value of A + C + D?

A. 35B. 40C. 30D. 45E. Cannot be determined.

89. Which of the following is a possible value of A?

A. 35B. 20C. 30D. 15E. None of these

90. What is the minimum possible value of ‘B’for which (A + B + C + D) is a multiple of 4?


91. If ‘a’ and ‘b’ are the roots of the equationx2 + px + c = 0 and ‘c’ and ‘d’ are the roots of theequation x2 + px + r = 0, then the value of(a – c)(a – d) is

A. p + cB. c – rC. r – cD. c + rE. p – c

92. For real numbers a, b and c, if 1

A = a + ,a

33

1B = b +

band 5

5

1C = c + ,

c then what is the

minimum value of (A + 1)2 + B2 + (C –1)6 ?

A. 4B. 12C. 20

D. 6E. Minimum value of the given expression does notexist.

93. Let C, B, and E be three points on a straight linein that order. Suppose that A and D are two points onthe same side of the straight line such that

ACE CDE 90∠ = ∠ = ° and CA = CB = CD.Let F be the point of intersection of the line segment

AB and the circumcircle of ADC.∆ Which of thefollowing is correct?

A. F is the incentre of CDE.∆B. F is the orthocenter of CDE.∆C. F is the centroid of CDE.∆D. F is the circumcentre of CDE.∆E. None of these.

94. If 3x

2f(x+3)=5

and 3g(x – 2) = – 2x for all real

value of ‘x’, then the value of f(g(6)) is

A. 5

2

B. 7

2−

C. 3

2

D. 3

–2

E. None of these.

95. X and Y start running simultaneously towards thepoint C on a straight line from the points A and Brespectively. The distance between the points A and Bis 50 kms as shown in the figure given below. Thespeed at which X and Y run is 100 km/hr and 50 km/hr respectively. After covering every 100 kms, X stopsrunning and resumes running in the same direction asearlier after exactly one hour. Which of the followingmust be true?

A B C


A. X will reach the point C before than Y.B. Y will reach the point C before than X.C. Both will reach the point C simultaneously.D. Either (B) or (C).E. Cannot be determined.

96. Two circles of radii 5 cm and ‘r’ cm(r < 5 cm) touch internally at point P. In the largercircle, chord RS is perpendicular to its diameter PQand it passes through the center of the smaller circle.If the length of the chord QS is 8 cm, then what is thedistance between the centres of the two given circles?

A. 3.6 cmB. 1.8 cmC. 1.4 cmD. 2.5 cmE. 1.6 cm

Question Nos. 97-98 are followed by twostatements labelled as I and II. You have todecide if these statements are sufficient toconclusively answer the question. Choose theappropriate answer from options given below:

A. If Statement I alone is sufficient to answer thequestion.B. If Statement II alone is sufficient to answer thequestion.C. If Statement I and Statement II together aresufficient but neither of the two alone is sufficient toanswer the question.D. If either Statement I or Statement II alone issufficient to answer the question.E. Both Statement I and Statement II are insufficientto answer the question.

97. In a right-angled triangle ABC, if all the angles arein arithmetic progression, then what is the length ofside BC?

I: BC > AB and AC = 2(3 – 3)units.

II: Sum of all the sides of ABC∆ is 6 units andAC > BC.

98. How is A related to B?

I: C is the wife of A’s only brother D and she doesnot have any siblings.II: B is C’s brother in law’s wife.

Answer the question no. 99 to 103 on the basis of the data given below.

Brands/Month July August September

Maruti Alto 2500 3000 2000Maruti Zen 2250 1500 3000

Hyundai Santro 2800 3200 2500Hyundai Verna 5500 4500 5200

Opel Corsa 2500 2000 3000Chevrolet Optra 3600 4500 5400

Sale of Used Maruti Suzuki Cars

Sale of Used Hyundai Motors Cars

Sale of Used General Motors Cars

Units Purchased = Units Sold + Ending Inventory – Beginning Inventory. All sales figures are in Rupees thousand. All other things are constant.

99. In the month of July, Dream Carz Ltd. sold doublethe number of Maruti Alto cars that it purchased.If the ending inventory for the month of July was 15,then what was the beginning inventory?(Assume thatthe selling price of 1 Maruti Alto car in the month ofJuly by Dream Carz Ltd. is Rs.125000)



100. From July to September, Dream Carz Ltd. sold8 Opel Corsa cars every month and paid sales tax at arate of 15% of the sales value of the car. What is thesum of the taxes paid (in Rs. thousand) on the sale ofthree Opel Corsa cars, one each in the three givenmonths?

A. 120B. 150C. 140D. 105E. 180

101. In the month of July, if 15% of the total sales ofMaruti Alto cars together with 10% of the total salesof Hyundai Santro cars contributed 25% to the totalprofit made by the company, then find the total profit(in Rs. thousand) made by the company in the monthof July.A. 3452B. 2620C. 3865D. 2628E. 3452

102. In the months of July and August, Dream CarzLtd. purchased 70 Opel Corsa cars. If their inventoryhad 87 cars at the end of August and 65 cars at thebeginning of July, then what was the average salesprice (in Rs. thousand) of an Opel Corsa car duringthe two months?

A. 85.25B. 75.85C. 83.65D. 93.75E. 92.45

103. In the month of September, the companypurchased an equal number of cars of all the6 different brands. The difference(a positive number)in the ending inventory and the beginning inventorywas equal for all the six brands. Which of the followingcould never have been the total number of cars sold inthe month of September by Dream Carz Ltd.?

A. 30B. 42C. 32D. 36E. 24

Question 104-106: Kumar studies on only three days in a week: Tuesday, Friday and Saturday. The followingline graph provides information about the total number of hours for which Kumar studied on Tuesday andFriday in each of the ten weeks and the total number of hours for which Kumar studied in ten weeks namely I,II, III, IV, V, VI, VII, VIII, IX and X.

2

40

97811131212

74

16

45

1112141817

12

22

30

2025

50

2820

55

4550

0

10

20

30

40

50

60

I II III IV V VI VII VIII IX X

Weeks

Num

ber

of H

ours

Tuesday Friday Total


104. In which week the total number of hours forwhich Kumar studied on Saturday, is the maximum?

A. VIIB. IC. IVD. IIIE. II

105. In which week did the number of hours for whichKumar studied on Tuesday witnessed the maximumpercentage increase?

A. IIB. IVC. IIID. IXE. None of these

106. What is the difference between the averagenumber of hours per week for which Kumar studied inthe mentioned ten weeks and the average number ofhours per Saturday for which he studied in thementioned ten weeks?

A. 21.6B. 20.4C. 22D. 22.6E. 22.4

Question 107-110: The table provides data ofaverage marks secured by boys and girls in primaryand in secondary classes of a school, in differentyears. It also gives the average marks of all the boysand girls, studying in primary and in secondary classesof the school, for the same years. No student in thisschool studies in both primary and secondary classesand the school has only primary and secondaryclasses.

YearsBoys Girls Boys Girls Boys Girls

1996 40 54 54 62 48 581997 72 80 60 68 64 721998 60 76 68 70 62 741999 94 96 90 98 92 972000 58 60 76 80 64 622001 50 60 80 90 70 762002 64 80 76 90 70 84

Primary Secondary Total

107. Which of the following can be the total numberof boys, studying either in the primary or in thesecondary classes of the school, in 1996?

A. 14B. 22C. 17D. 24E. 29

108. Which of the following statements is definitelytrue?

A. Total number of boys in the years 1997 and 1998put together, is greater than the total number of girls inthe years 1998 and 1999 put together.B. Total number of boys in all the given years puttogether, is greater than the total number of girls in theyears 1997 and 1998.C. Total number of students in primary classesin the years 1996 and 1997 put together, is greaterthan the total number of students in secondary classesin the years 1996 and 1997 put together.D. Total number of students in 1999 is the highest in allthe given years.E. None of these.

109. If the average marks of all the students in theyears 2000 and 2001 are 63 and 72 respectively andif the number of boys studying in secondary classes inthe year 2000 is equal to the number of boys studyingin the primary classes in the year 2001, then which ofthe following statements is definitely true?

A. Total number of students in 2000 is equal to that in2001.B. Total number of students in 2000 is 40% more thanthe total number of students in 2001.C. Total number of students in 2000 is 20% less thanthe total number of students in 2001.D. Total number of students in 2000 is 33.33% morethan the total number of students in 2001.E. Total number of students in 2000 is 25% less thanthe number of students in 2001.


110. If the average marks of all the students in theschool in 2002 is 80 and the number of boys insecondary classes is 500, then the total number ofstudents in the school in 2002 is


111. Ram said to Rahim, “The unit’s digit of theproduct of my age and your age is one or the otherof three values 2, 4 and 8”. If the age (in years) ofRam and Rahim is R1 and R2 respectively, then findthe total number of possible pairs (R1, R2).(Given that R1 and R2 are natural numbers less than20.)

A. 108B. 184C. 128D. 96E. 144

112. If the roots of the equation4x3 – 12x2 + cx + 21 = 0 are in an arithmeticprogression, then find the value of c.

A . 13

4B. – 13C. 13

D. –13

4E. Cannot be determined

Question 113-115: On a street, there are 40 housesnumbered consecutively from 1 to 40 such that exactlyone number is written on one house. Ram and Rahimown three of these houses each. Few houses areowned jointly by both Ram and Rahim. The numberswritten on houses owned by Ram are in an arithmeticprogression. The numbers written on houses ownedby Rahim are in a geometric progression. The ratio of

the sum of numbers written on houses owned by Ramto the product of numbers written on houses ownedby Rahim, is 8:9.

113. If the product of the numbers written onthe houses owned by Rahim is the minimum, thenwhat is the sum of the numbers written on the housesowned by Rahim?

A. 15B. 12C. 11D. 14E. 13

114. If the product of the numbers on the housesowned by Rahim is the minimum, then which of thefollowing is definitely the number written on the houseowned by Ram?

A. 1B. 15C. 9D. 8E. 3

115. Which of the following can be the numberwritten on the house jointly owned by Ram andRahim?

A. Only 1B. Only 3C. Either 1 or 3D. Either 1 or 9E. 1 or 3 or 9

116. If the maximum value of of ax2 + bx + c doesnot exist, then what is the minimum possible value of|x – a| + |x – 2a| + |x + a| ?

A. 3aB. aC. 2aD. 0E. 4a


117. In the X-Y plane, two curves x2 – 4y2 = 0and (x – a)2 + (y – b)2 = 20 intersect each otherat exactly three distinct points. If the pointP(a, b) lies on the curve x2 – 4y2 = 0, then findthe value of (a + b).(Given that a, b are positive integers)


118. How many positive even integers less than200 can be written as the sum of threeconsecutive integers?

A. 33B. 20C. 15D. 35E. 51

119. A trapezium ABCD is inscribed in circle withcentre O as shown in the figure given below. It is alsogiven that AB is the diameter and the measure of

ABC 60 .∠ = ° If E is the mid point of arc AEB, then

what is the measure of DEC∠ ?

D C

B

E

AO

60°

A. 30°B. 15°C. 60°D. 45°E. 120°

120. W hat is the remainder when 3 2004 is divided by13?

A. 1B. 12C. 6D. 0E. 7

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