Flt 1401

Roots Education FLT1401 1

SECTION I

1. A group of students started working on a group assignment at 1 PM. beginning from 2 PM, one student

left the group each hour. The last remaining student, who worked alone in the last one hour, finished the

assignment. Had no student left the group at any intermediate stage, the group would have finished the

job in two-thirds of the time they finally required to complete the work. How many students were there in

the group and at what time was the work completed?

A] 2, 3 PM B] 3, 3 PM

C] 4, 5 PM D] None of these

2. The number of positive integers not greater than 100, which are not divisible by 2, 3 or 5 is

A] 26 B] 18

C] 31 D] None of these

3. Three partners, A, B, C a make a profit of Rs.95,000 together in a business. A invests half the capital for

half the time, B invests one-third of the capital for one-third the time C invests the rest of the money for

the entire time. What is B’s share of the profit?

A] Rs.19,000 B] Rs.20,000

C] Rs.95000

9 D] None of these

4. A farmer owns a triangular piece of land. Its longest side has a length of 20 metres and another of its sides

has a length of 10 metres. The area of the land owned by the farmer is 80 square metres. What is the exact

length of its third side (in metres)?

A] 260 B] 250


5. The V-Pop stars debut concert was followed by a gala dinner hosted by BCCL and Channel V. 5500

guests turned up for dinner in which 56 varieties of food were served. On an average, each guest

consumed 0.800 kg of eatables (across all varieties). The average cost of preparing the dishes was Rs.40

per kg. Assuming that 10% more than the expected number of guests turned up and each ate 20% less

than the expected per person consumption, the food

A] fell short B] was in excess

C] just sufficed D] Indeterminate

6. If the positive roots of a, b and c (a < b < c) are consecutive integers, then the inequality (c – b) > (b – a)

A] is always true B] is false

C] is not always true D] true only if a, b and c are perfect squares

7. Moving in the same direction, Rajdhani overtakes Vaishali express in ‘M’ minutes while moving in

opposite directions, the 2 trains cross each other in ‘L’ minutes. Assuming that the length of each train is

‘T’ meters, in how much time will the Rajdhani cross the stationery Vaishali?

A] 2T

L M B]

2

L M

LM

C] 2LM

L M D] None of these


8. Three consecutive positive integers are raised, respectively, to the first, second and third powers, the

resulting integers are then added together. This sum is perfect square whose principal square root is the

sum of the original three consecutive integers. Find the square of the smallest of the three original integers.

A] 3 B] 5

C] 4 D] 9

9. Which option indicates the correct range of values of ‘x’ for which ‘3|x| – |x – 3| 0’?

I. x 3 II. x 0 III. x 34

IV. x 32

A] I & II B] IV

C] III & IV D] II & IV

10. There are 100 students applying for summer jobs in a university’s Zoology-cum-Botany department. 10

of these have never taken a course in Zoology or Botany previously. 63 of these have taken at least a

Zoology course previously. 81 have taken at least a Botany course previously. What is the probability that

out of those applicants who have taken atleast one course in Zoology or Botany previously, any student

selected at random has taken a course, either in Botany or in Zoology, but not in both previously?

A] 36% B] 54%

C] 45% D] None of these

11. A box contains 17 red beads and 11 blue beads. What is the smallest number of beads that must be picked

at a time, without looking, to be sure of getting two of the same colour?

A] 3 B] 12


12. A contract company is hired to renovate Delhi Haat. 6 workers working for 6 days can complete the task

but due to scarcity of resources the contractor decides to ramp up the team gradually. He puts 1 worker on

day 1, and adds 1 more on each subsequent day till the workers are just sufficient on the last day to

complete the work. How many days did it take to complete the work and how many workers worked on

the last day? (Assume that the work per day is the same for all workers.)

A] 6, 6 B] 7, 7

C] 8, 8 D] 9, 9

13. Two small circles lie inside a bigger circle as shown in the figure below. The two smaller circles touch

each other externally and the bigger of these two touches the outer (biggest) circle internally. The smaller

of the two inner circles passes through the centre of the biggest circle. The ratio of radii of the two inner

circles is 9 : 7 and distance between their centres is 32 cm. What is the sum of the areas of the three

circles?

A] 4616 B] 4096

C] 5024 D] 616


14. To demonstrate “Ekta mein taakat” concept, DD-I channel staff tied three identical right cylindrical

wooden logs by an endless tight cord. (See the figure below). Find the length of the cord if the radius of

each wooden log = r cm.

A] 6r B] r + 3

C] 2r + 6 D] 2r + 6r

15. What is the remainder for the expression (3560

/8)?

A] 3 B] 1


16. A 4 x 4 x 4 cube is painted in 3 colours: red, green and yellow. Same colour is painted on opposite faces of

the cube. The cube is now cut into 64 equal cubes of dimensions 1 x 1 x 1. How many cubes have both

yellow and green on its faces?

A] 12 B] 16


Directions for questions 17 and 18: Answer the questions based on the following information.

Nathurams is a famous sweet shop retail chain. The fixed expenses per month (including employee salaries,

electricity charges, maintenance etc.) for its C.P. outlet are Rs.30000 per day. The additional cost of making 1 kg

of sweets is Rs.140. If the sweets are sold on the same day, the selling price is Rs.200 /kg else they are sold for

Rs.100 /kg on one of the following days. Finally, all the sweets prepared are sold on the same day or within the

next few days.

17. On a given day, only 1200 kg of the 1500 kg of sweets produced is sold. The profit made on selling the

sweets prepared that day would amount to

A] Rs.15000 B] Rs.30000

C] Rs.45000 D] None of these

18. If on a given day, 1200 kg of sweet were prepared, how much of it would have to be sold on the same day

to break even for just the sweets produced that day?

A] 700 kg B] 780 kg

C] 480 kg D] All of it

Directions for questions 19 to 21: Answer the questions based on the following information. The following table shows the units produced in a manufacturing plant on each of the days of a week. All units

produced can either be stored or be transported for sales.

Day 1 2 3 4 5 6 7

No. of units 90 120 140 190 230 160 270

A truck that can carry 1000 units can be hired for Rs.900 on any given day.

Total cost = Storage cost + Truck hiring cost.

r

r


19. If storing cost is Rs.5 per unit per day, on which days should the truck be hired to minimize the total cost?

A] 1st, 4

th, 7

th B] 2

nd, 4

th, 5

th, 7

th

C] 3rd

, 7th D] 2

nd, 4

th, 5

th, 6

th

20. If storing cost = Rs.10 per unit per day, then on which days the truck may not be hired to minimize the

total cost?

A] None B] 3rd

C] 1st, 3

rd, 7

th D] 1

st

21. If Storage cost = Rs.5 per unit per day, the total cost (Rs.) incurred during a week in which a truck is hired

on the 2nd

, 4th, and 7

th days (a truck is filled to its capacity or the entire storage is transported) would be

A] 5550 B] 6850


Directions for questions 22 to 25: Refer to the following information and answer the questions that follow.

The following table contains the figures for foreign direct investments (Inflows and Outflows) for the indicated

years and country groups. All figures are in $ millions. Answer the questions that follow on the basis of the

information provided in the table. You may assume that the country groups are exhaustive and mutually exclusive.

Note: Net FDI Inflow = FDI Inflow – FDI Outflow; Net FDI Outflow = FDI Outflow – FDI Inflow

22. The maximum net FDI outflow for Developed countries was in which of the following years?

A] 1995 B] 1999

C] 2000 D] 2001

23. The net FDI inflow (in million $) in the year 1995, for all the country groups taken together was nearly

A] +330,500 B] –30,500

C] –26,000 D] +26,000

YEAR

1970 1980 1990 1995 1999 2000 2001

COUNTRY_GROUP INDICATOR

Developed countries

FDI Inflows 9,477 46,530 164,575 203,311 837,761 1,227,476 503,144

FDI outflows 14,110 50,343 216,562 304,151 965,977 1,271,273 580,624

Developing countries

FDI Inflows 3,109 8,380 37,567 112,537 225,140 237,894 204,801

FDI outflows 30 3,310 16,700 51,547 73,636 104,207 36,571

Central and Eastern Europe

FDI Inflows 1 35 639 14,668 25,363 26,563 27,200

FDI outflows 0.5 21 54 706 2,437 4,012 3,518


24. Choose the alternative that correctly indicates all the correct statements from the following statement set.

a. The net FDI inflow is highest for the country group of Developing countries for all the years for

which figures are given in the table.

b. The greatest FDI outflow increase in a single year for Developing countries was in 1995.

c. The FDI inflow for nations other than Developed and Developing ones increased by nearly 4.75%

in 2000, relative to the immediately preceding year.

A] a & b B] a & c

C] b & c D] Only c

25. The maximum net FDI inflow ($ millions) during 1999 to 2001, for a single country group was closest to

A] 168,200 B] 1,490,000

C] 1,230,000 D] 128,000

Directions for questions 26 to 30: Refer to the table below and answer the questions that follow.

Following is the data for Growth in Vehicle Population and Road Accidents in India from 1994-1998.

26. The ratio of fatal casualties to the total road accidents

A] has been decreasing steadily.

B] has remained nearly constant.

C] approximates an increasing step function with a change in 1996.

D] approximates a decreasing step function with a change in 1996.

27. Select the option that correctly indicates the set of correct statements based on the above data.

a. The ratio of non-fatal casualties to the total accidents gradually increased from 1995 to 1998.

b. Vehicle population grew at a simple average annual rate of nearly 11.5% between 1995 and 1998.

c. The ratio of casualties (fatal + non-fatal) to the total accidents was the lowest in 1996, during the

given period.

A] Only b B] Only c

C] a and b D] None is correct

28. The curve joining the points representing the fatal and non-fatal casualties as co-ordinates during the 5-

year period most closely approximates a

A] a straight line with a negative slope. B] a straight line with a positive slope.

C] a quadratic equation. D] an arc of a circle

29. The ratio of road accidents to the vehicle population over the 5-year period

A] has continuously increased. B] first increased and then decreased.

C] has continuously decreased. D] first decreased and then increased.

30. The ratio of fatal casualties to non-fatal casualties was minimum and maximum (respectively) in years

A] 1994, 1996 B] 1994, 1998

Year Accidents (‘000s) Casualties

Fatal (‘000s) Casualties

Non-Fatal (‘000s) Vehicle Population

(lakhs)

1994 320.4 64.6 310.8 270.60

1995 348.9 70.7 322.9 302.95

1996 272.1 69.8 321.2 337.83

1997 290.8 74.2 329.8 372.31

1998 300.1 76.1 333.6 407.12


C] 1996, 1994 D] 1998, 1996


SECTION II

Directions for questions 31 to 33: Four sentences between sentence 1 and sentence 6 are labelled with a letter.

Choose the most logical order of sentences A, B C and D with 1 and 6 as the starting and the ending sentences

respectively, to construct a coherent paragraph.

31. 1. In summer, the moment Mum’s back was turned, Ginny raced for the park bordering our garden.

A. She usually stopped at the kiddie pool, but only a few metres beyond that lay an inlet.

B. The only way to bring her back was tucked under your like a football, kicking and screaming.

C. Ginny’s fixation with water was complete: she couldn’t swim, but didn’t have the good sense to

stop once reached it.

D. Arms spread wide, she’d barge past splashing toddlers and appalled mothers.

6. I never could bring myself to meet the glaring, staring eyes of others when I was the unlucky one

who had to fetch her.

A] ACBD B] BCDA C] ACDB D] BADC

32. 1. Then she turned back and started towards the car.

A. But there was an air of inevitability about her walk.

B. He hoped she would turn around once more.

C. This was the moment he had always feared.

D. The engine started smoothly and the car moved.

6. He stood there as a feeling of emptiness engulfed him.

A] BACD B] BADC C] ACDB D] ADCB

33. 1. An interesting problem arises when one attempts to mechanically represent the synodic month.

A. A gear ratio of 235 to 19 is required for an accurate representation.

B. However, this is impossible to achieve directly, presenting a serious challenge to Archimedes and

other Greek scientists.

C. Prof. Price claims that two different gear arrangements can be used to create this ratio.

D. First, one may simply use a more intricate combination of gears, as Archimedes did in his

mechanical sphere.

6. The second solution is one of the greatest innovations in Greek engineering; the development and

incorporation of a differential gear.

A] DBAC B] ABCD C] ACDB D] ABDC

Directions for questions 34 and 35: Each question contains a sentence a part of which is underlined. From the

given options, select the one that best replaces the underlined part, keeping in mind Standard English usage.

34. Whenever social upheavals have enabled representatives of lower-middle class and rich peasantry classes

to rise to power, they have invariably served the interests of big business.

A] Whenever social upheavals have enabled representatives of lower-middle class and rich peasantry

classes to rise to power, they

B] Whenever there are social upheavals have enabled representatives of lower-middle class and rich

peasantry classes to rise to power, they

C] Whenever social upheavals, that have enabled representatives of lower-middle class and rich

peasantry classes to rise to power, they

D] Whenever there are social upheavals that have enabled representatives of lower-middle class and

rich peasantry classes to rise to power, they


35. The members of the cricket team viewed the plan for a change in captaincy with hostility, having feared

that it will undermine the seniority system and negatively affect their chances of being chosen in the

playing-eleven.

A] having feared that it will undermine the seniority system

B] fearing that it would undermine the seniority system

C] having the fear that it would undermine the seniority system

D] fearing that it will undermine the seniority system

Directions for questions 36 and 37: Select the alternative that conforms most closely to Standard English.

36. A] Since the past few months, experts had been talking about what really makes Sehwag’s batting

style unique.

B] Since the past few months, experts have talked about what really makes Sehwag’s batting style

unique.

C] Since the past few months, experts have been talking about what really makes Sehwag’s batting

style unique.

D] Since the past few months, experts had been talking about what will really make Sehwag’s

batting style unique.

37. A] An uneasy tension pervaded the usually peaceful city as news of the riots in a neighbouring city

began to trickle in.

B] An uneasy tension pervaded the usual peaceful city as news of the riots in a neighbouring city


C] The usual peace was replaced by an uneasy tension in the city as news of the riots in a

neighbouring city began to trickle in.

D] Uneasy tension replaced the usually peaceful city as news of the riots in a neighbouring city


Directions for questions 38 to 40: Select the best answer for each question.

38. Mrs. Bose: I don’t think Saurav will win the election for ‘member of parliament’. Not too many voters

would be willing to elect a sportsman with no political experience to such an important public office.

Manisha: You’re wrong. The experience of leading a national team is a valuable preparation for the task

of running a parliamentary constituency.

Manisha’s response shows that she has interpreted Mrs. Bose’s remark to imply which of the following?

A] Mrs. Bose considers Saurav unqualified for being elected as a member of parliament.

B] No candidate without political experience has ever been elected a member of parliament.

C] Mrs. Bose believes that leadership of a parliamentary constituency and leadership of a national

sports team are closely analogous.

D] Voters usually overestimate the value of political experience when electing a member of

parliament.

39. One corporate tax-reform proposal that has gained increasing support in recent years is the constant tax

rate system, which would impose a flat rate of tax on all levels of corporate profits. Opponents of the

constant tax rate regime argue that a progressive tax rate system, which levies a higher rate of taxes on

corporates with higher profits is better, as it places the greater burden on those corporates which are more

equipped to bear it. However, the present web of tax deductions, fringe benefit exemptions, capital

expenses benefits primarily the high-profit corporate, which is consequently able to reduce its effective

tax rate, often to a level below that paid by the lower-profit corporate. Therefore, ______.

Which of the following best completes the passage above?


A] Higher-profit corporates are likely to lend their support to the constant-tax rate proposal now

being considered.

B] A constant-tax rate system that allowed no deductions, exemptions or expenses would

substantially increase actual government tax collections.

C] The constant-tax rate system would actually be fairer to the lower-profit corporates than any

progressive tax rate system could be.

D] The progressive nature of the present tax rate system is more illusory than real.

40. Chief Secretary of Delhi said at a press conference:

“As part of our drive to halt the illegal constructions, the government is proposing the creation of a land

ownership identity card. The card would be available only to Delhi citizens who own land and to

registered applicants who buy land through government approved channels, and all persons would be

required to produce the card before they could begin construction on any piece of land. Of course, such a

system does create a scope, however minute, for the abuse of right to privacy. Therefore, all personal

information gathered through for this card would be held strictly confidential, to be released only by

authorized personnel under appropriate circumstances. Those who are in compliance with capital’s land

laws would have nothing to fear from the new card system.”

While evaluating the above proposal, a journalist present at the press conference, concerned about the

misuse of confidential information, would have been most interested in having the Chief Secretary clarify

the meaning of which of the following phrases?

A] “authorized personnel”

B] “however minute”

C] “right to privacy”

D] “appropriate circumstances”

Directions for questions 41 to 50: Answer the questions on the basis of the corresponding passages.

Passage 1

As a major league baseball player, Billy Beane was a gorgeous failure. He had the speed, a rocket arm from the

outfield and the instincts. To top it off, he had matinee idol looks and charm to spare.

“Billy’s weakness,” according to author Michael Lewis, “was simple: he couldn’t hit. Or rather he hit sometimes

but not others; and when he didn’t hit, he unraveled … He busted so many bats against so many walls that his

teammates lost count. One time he destroyed the dugout toilet; another time, in a Triple-A game in Tacoma, he

went after a fan in the stands, and proved to everyone’s satisfaction that fans, no matter what challenges they

hollered from the safety of their seats, were better off not getting into fistfights with ballplayers.”

But Lewis’s latest book – he is also the author of Liar’s Poker and The New New Thing – isn’t really about

Beane’s relatively short sojourn on the field of dreams. Rather, Moneyball: The Art of Winning an Unfair Game,

tells the fascinating story of how Beane has come tantalizingly close, as a general manager, to turning the

Oakland Athletics – in recent years one of the poorest teams in baseball – into an Ugly Duckling success and a

perennial playoff contender in one of the sport’s most competitive divisions. How?

In part by making sure that they don’t draft or trade for players that look anything like the way Billy Beane looked

when he came into the major leagues: handsome athletes with a lot of potential who don’t pan out. This has meant

turning scouting theology on its ear, rejecting anecdote for statistics, mining for better statistics – more

meaningful metrics, in business parlance – and looking for a different kind of baseball man for the front office

and the scouting division, sometimes on Wall Street instead of Main Street, sometimes in the Ivy League rather

than the Little League. A high school phenomenon who chose pro ball over Stanford, Beane was drafted by the


New York Mets in the same draft that brought Darryl Strawberry to the big leagues. Coming up in the Mets farm

system, he roomed with Lenny Dykstra, who was destined for a permanent spot in the Mets outfield.

As Lewis tells us, they were two very different kinds of ball players and the contrast is instructive: “Lenny

thought of himself and Billy as two buddies racing together down the same track, but Billy sensed differences

between himself and Lenny. Physically, Lenny didn’t belong in the same league with him. He was half Billy’s

size and had a fraction of Billy’s promise – which is why the Mets hadn’t drafted him until the 13th round.

Mentally, Lenny was superior, which was odd, considering Lenny wasn’t what you’d call a student of the game.

Billy remembers sitting with Lenny in a Mets dugout watching the opposing pitcher warm up. ‘Lenny says, “So

who’s that big dumb ass out there on the hill?” And I say, “Lenny, you’re kidding me, right? That’s Steve Carlton.

He’s maybe the greatest left-hander in the history of the game.” Lenny says, “Oh, yeah! I knew that!” He sits

there for a minute and says, “So, what’s he got?” And I say, “Lenny, come on. Steve Carlton. He’s got heat and

also maybe the nastiest slider ever.” And Lenny sits there for a while longer as if he’s taking that in. Finally he

just says, “Shit, I’ll stick him.” I’m sitting there thinking, that’s a magazine cover out there on the hill and all

Lenny can think is that he’ll stick him.”

Once he had made it to the show, Beane didn’t last long with the Mets; they traded him to the Minnesota Twins

and the Twins subsequently traded him to the Detroit Tigers and the Tigers finally to the Oakland A’s. He spent

three and a half seasons bouncing back and forth between Triple-A ball and the big leagues before walking into

the A’s front office in the spring of 1990 and telling them that he didn’t want to play anymore – more accurately it

might be said that he had never really wanted to play pro ball. He wanted a front office job; he wanted to be an

advance scout. “Billy was entering what was meant to be his prime as a baseball player, and he’d decided that

he’d rather watch than play,” Lewis writes. “I always say that I loved playing the game but I’m not sure that I

really did,’ he said. ‘I never felt comfortable.”

But if Beane had finally actually thought himself off the field, rather than simply out of the batter’s box, what was

to happen next, both as he worked himself into the general manager’s position and in his moves since, was more

interesting than the string of outs – and ruined bats – that had preceded it. Charitably put, what Lewis quickly

leads us to see is that thinking was not necessarily any more welcome in the administrative end of the sporting

world than it was on the field. Every sport is a complex mix: a game, a business, and then its own kind of

theology as well. You mess with the latter at your own peril, professional and personal.

But that’s changing, slowly. And with Beane as the lynch pin, Lewis tells us the story of how.

If a bleacher theologian would say that Beane, the people he’s drawn ideas from and the people who work for him

are changing the spirit of the game, a rhetorician might say that the change in approach evidenced by the way the

Oakland A’s choose and use players has to do with the battle between Anecdote and Statistics. Old School

baseball scouts, Lewis tells us, highly value The Example: what they have seen once, what they believe will

happen again, or perhaps more accurately, what they hope will happen in the future based on their experience and

judgment of talent. Under the Beane regime, the rules have changed:

“ … A young player is not what he looks like, or what he might become, but what he has done. As elementary as

that might sound to someone who knew nothing about professional baseball, it counts as heresy here. The scouts

even have a catch phrase for what Billy and others are up to – ‘performance scouting.’ Performance scouting in

scouting circles is an insult. It directly contradicts the baseball man’s view that a young player is what you can see

him doing in your mind’s eye. It argues that most of what’s important about a baseball player, maybe even

including his character, can be found in his statistics.”

These numbers changes, this deep use of statistics, percolate down to how the A’s play the game as well: They

bunt and steal, for example, far less than almost any other team in baseball. This can be traced to the influence of

baseball analyst Bill James, one of the book’s other dominant characters and a strong influence on Beane and how


the A’s have reshaped themselves. One of James’s seminal insights – still fiercely resisted by most coaching staffs

and routinely ridiculed by most broadcasters – is that the most important thing a baseball team can do is not make

outs. Thus, from a statistically sound base, James extrapolates that sacrifices and steals cost rather than win games.

The math is clear and the A’s are winning on it; the tradition of competition and the mythology, however, are

irresistible and much of the rest of baseball continues to squander their outs.

As to post-season play, in recent years the A’s have reliably made it to the play-offs but not yet grabbed World

Series rings. In that regard, statistics may not be their allies. As Lewis notes, “The play-offs frustrate rational

management because, unlike the long regular season they suffer from the sample size problem … In a series of

three out of five, or even four out of seven, anything can happen. In a five-game series, the worst team in baseball

will beat the best about 15% of the time; the Devil Rays have a prayer against the Yankees.”

Lewis quotes Beane after the A’s elimination during the 2002 play-offs at the hands of the Minnesota Twins. He

is rather more salty and succinct: “My shit doesn’t work in the play-offs,” Beane says. “My job is getting us to the

play-offs. What happens after that is f***** luck.”

Well, there’s always next year. Grease up your gloves; fire up your laptops.

41. Billy Beane can be inferred to have been all but which of the following?

a. A baseball player with sound temperament

b. A handsome athlete with enormous potential

c. A successful advance scout

A] b and c B] a only C] b only D] None of these

42. Which of the following aspects of baseball proved to be the greatest challenge for Billy Beane in his front

office job?

A] The game itself B] The game as a business

C] Hitting the ball D] The theology of the game

43. Which of the following best captures Oakland A’s strategy while scouting for players?

A] They do not choose handsome looking players.

B] They do not rely on unconfirmed anecdotes.

C] They reject anecdotes for meaningful statistics.

D] They look for players with sound temperament.

44. Which of the following would be the most appropriate title for the passage?

A] A Gorgeous Failure B] Tradition v/s Science

C] The Big Hit D] Baseball by numbers

Passage 2

It is a town whose citizens strive to build impressive homes in high-end neighborhoods. It is a tropical island

where friends gather for drinks in the glow of a tropical sunset. It is an out-of-the-way, but dangerous nation,

where a man must work long and hard to afford the weapons that will protect him against evil. The town is

Blazing Falls. The tropical gateway is There. The dangerous country is Norrath. None of them are real. They, and

more than a dozen others, exist only online. They have been created by corporations like Sony as well as by

adventurous programmers for the millions of people interested in playing competitive and social games on the

Internet.


But even though these virtual worlds are nothing more than software coding residing in banks of computers, what

goes on in them poses increasingly serious challenges to our notions about the nature of property, the legal rights

of players in virtual worlds and even the presumed boundary between the real and the imagined worlds.

The challenges are there because those who participate in virtual worlds – a group composed of people who are

on average 25 years old and who include an increasing number of women over the age of 30 – spend considerable

amounts of money. They spend that money for the right to participate in the virtual worlds. Just as important, they

spend to buy the virtual tools and accessories important to the characters they play – their avatars – and the

avatars’ ability to survive and succeed in the virtual social worlds and communities. Moreover, a major trade in

these virtual goods has cropped up in the real world. Players who have an overabundance of virtual goods because

they play their games exceedingly well sell their overstock on eBay and other Internet auction sites. So do non-

players who have gotten their hands on the rights to these virtual goods. The result of all this is significant. “We

are creating new categories of property that are valuable without understanding what it means or what the

implications are for our understanding of the nature of property,” says Hunter.

The economic activities going on in these real worlds are so life-like and expenditures so intense that at least one

company running a virtual world has hired an economist to help it avoid the sort of hyperinflation that would

destroy the game. For that matter, Hunter says, Edward Castronova, an economics professor at California State

University at Fullerton, studied the economics of the virtual world Norrath and found that the exchange rate

between its currency and the U.S. dollar is greater than the exchange rate between the dollar and the yen. If

Norrath were a real country, Castronova found, its gross domestic product would be greater than Bulgaria’s.

Virtual economies are spilling into the real world, in part because there are players who don’t have the patience or

ability to amass the goods required to succeed in their virtual games. They have learned that they can turn to eBay

and other online markets to buy what they need and take it back into their virtual worlds to further their aims.

That can mean spending $50 for a million Star War Galaxies credits, $22 for a magical sword for engaging in

successful battles in Diablo, or $9.50 for 10,000 thousand copper ingots for use in Ultima Online. After a sale is

consummated in the real world, purchaser and seller step back into their virtual world where the goods are handed

over. In some cases the transaction takes place within the boundaries of the virtual world because its developers

have made provisions for such transactions.

It is even possible to buy an avatar and all it has amassed, though that is considerably more costly. “They sell for

as much as $25,000,” Hunter says. This economic interaction between the virtual worlds and the real world is so

pervasive that many sellers are making some very serious dollars. “Probably 25 of these guys are making a six-

figure income,” Hunter says. “One guy out there is reputed to make more than a million bucks a year.” And as if

that were not proof enough of the virtual-worlds-real-world melding, a now-defunct company found the profit

potential alluring enough to set up computers in a building in Tijuana and pay Mexican laborers menial wages to

sit at the PCs to play Dark Age of Camelot around the clock. The company then sold the commodities and credits

that the players-workers amassed online for very real American dollars.

Although the Internet’s virtual worlds increasingly take on real-world economic trappings, raising the

groundwork for property related disputes, the mythical goings-on are also being tinged with real-life social issues,

rife with their own potential for conflict. That is not surprising, Hunter says in the paper he co-authored with

Lastowka, given that human players become deeply vested emotionally in their avatars, thereby developing very

real expectations about having meaningful “human and constitutional rights” within the virtual worlds they

frequent. The participation of millions of people in virtual worlds also is likely to spawn quarrels between the

players and the games’ developers, Sony and Microsoft, which Hunter and Lastowka call the “god-corporations.”

Studies show that for many virtual world participants their lives in those worlds is “psychologically important, for

a few they are fiscally important, and for several thousand individuals, their virtual lives are claimed to be more


important than their real lives,” according to Hunter and Lastowka. If a virtual world collapses – goes offline – for

reasons beyond the control of the developers, players might feel bereft, yet may accept their financial losses. But

Sony, says Hunter, “could choose not to continue (maintaining a virtual world). They could just say we are sick of

this, we are not making enough money or there is too much whining going on.” In that case, players are likely to

react more forcefully in the real world because they are committed to the notion that what happens to their avatars

has legal significance. Hunter and Lastowka write: “At some stage there will be a tipping point where avatar lives

may present real legal issues. For instance, how comfortable would you be, if in the near future, you lived,

worked, and invested within a massive corporate-owned virtual world in which you lacked any meaningful legal

protections or control over the shape of your environment?”

Hunter says that it is likely that many property disputes between players, between players and eBay entrepreneurs

and between players and the god-corporations could be settled according to conventional, real-world contract law.

But he also points out that we cannot assume that all of the property – or the constitutional and human rights

issues arising in virtual worlds – can be settled that way. For starters, the developers of virtual worlds are going to

have to think more creatively about solving disputes inside their worlds, Hunter believes. Today, if a player feels

she has been wronged within the game by another player and complains to the developers, they may just throw

some virtual money at her – so she can buy something she needs within her virtual world, say – to make the

problem go away. But eventually, Hunter says, virtual world developers may have to create virtual legal systems

to deal more effectively and realistically with the disputes that arise within their worlds. And lawyers and judges

in the real world also will have to pay attention to issues arising out of virtual world conflicts, and adjust as well.

“We need to recognize that a large number of people are making significant amounts of money,” says Hunter.

“And, as more and more people are investing more and more money and get returns on their investment, we will

see more litigation and situations where our courts will be confronted with these problems.”

45. The central idea of the passage is to emphasize the need for

A] developing an understanding of the economic conflicts cropping up between real individuals in

the virtual worlds.

B] understanding the economic, psychological and social aspects of the virtual worlds and preparing

for their effect on real-life.

C] drawing a line that separates the issues virtual world from real life and prevents the former from

slipping over into the latter.

D] discouraging companies from making people so addicted to and dependent on virtual reality.

46. Which of the following cannot be inferred from the passage?

a. An increasing number of women of average age 25 years are participating in these virtual worlds.

b. Thousands of people claim that their “virtual lives” are more important than their real lives.

c. Edward Castronova is an economics professor at the state university, Norrath.

d. Some of the transactions between participants of the virtual world happen in the real world.

A] a and b B] d only C] a and c D] a only

47. According to the passage, which of the following are reasons why some of the transactions from the

virtual world spill over into the real world?

a. Some participants do not have the ability or the patience to achieve success in the virtual world.

b. It is impossible to separate the “real” from the ‘virtual’.

c. It provides an opportunity to people who want to make money.

d. After all, the people playing these virtual games are real.

A] a and c B] b and d C] a, b, c and d D] None of these


48. A suitable title for the passage would be

A] Blazing falls in to the real world B] Norrath greater than Bulgaria

C] When virtual becomes real D] Man plays God

49. Which of the following are measures that Professor Hunter is likely to agree with?

a. Settle all virtual world disputes according to the conventional, real-world contact law.

b. Create solutions within virtual world to solve disputes.

c. Organising awareness and discussion sessions for lawyers and judges to help them understand

issues of these virtual worlds.

d. Ban companies such as Microsoft and Sony from creating such virtual worlds.

A] a and b B] b and c C] c and d D] d and a

50. According to the passage, one of the most important fallouts of the creation of the virtual worlds is that

A] lawyers are getting an opportunity to make more money.

B] countries like Bulgaria are in danger of economic crisis.

C] a new type of property is evolving the nature of which has not been fully understood as yet.

D] the exchange rate of the US dollar with virtual currencies is higher than that with some of the real

currencies.

Directions for questions 51 and 52: Answer the questions based on the following information.

Four friends, Anu, Bunty, Charan and Dabbu are playing a game such that the loser doubles the money of each of

the other players from his share. They played four games and each one of them lost a game in alphabetical order.

At the end of fourth game, each friend had Rs.64.

51. What was the ratio of the amounts with Dabbu and Anu after the 3rd

round?

A] 4 : 1 B] 1 : 2

C] 5 : 1 D] None of these

52. What was the amount with Charan at the end of the second round?

A] Rs.72 B] Rs.144

C] Rs.32 D] None of these

Directions for questions 53 to 55: Study the following information and answer the questions given below it.

Anil and four of his friends are to be seated in a row of five seats numbered A-1 to A-5 from left to right of a

theatre. Anil and Sunil cannot occupy adjacent seats. Either Sunil or Kapil can occupy only one of the two end

seats in any seating arrangement, but both of them cannot be seated at the two ends simultaneously. Also, if Sunil

sits on an odd numbered seat (i.e. A-1, A-3 or A-5) then Kapil also can occupy only an odd numbered seat.

Similarly, if Sunil sits on an even numbered seat (i.e. A-2, A-4) then Kapil also can occupy only an even

numbered seat.

53. Which of the following is necessarily true?

I. Sushil and Ratul cannot occupy adjacent seats.

II. Sushil cannot occupy seat number A-2.

III. Ratul cannot occupy seat number A-4.

A] I only B] II only

C] III only D] II and III

54. Anil cannot occupy which of the following seats?

A] A-1 B] A-2


C] A-3 D] A-4

55. If Kapil and Anil are not sitting adjacent to each other, then Anil cannot occupy which seat?

A] A-1 B] A-5

C] Indeterminate D] A-4

Directions for questions 56 to 58: Each question is followed by two statements, I and II. Choose [A] if the

question can be answered with the help of statement I alone. Choose [B] if the question can be answered with

the help of statement II alone. Choose [C] if both statement I and statement II are needed to answer the

question. Choose [D] if the question cannot be answered even with the help of both the statements.

56. Three boys had a few Coffee Bite toffees with them. The toffees with the second boy were 4 more than

those with the first boy and the toffees with the third boy were 4 more than those with the second. How

many toffees were there in all?

I. The number of toffees with each of them is a multiple of 2.

II. The first boy ate up 4 toffees from what he had and the second boy ate up 6 toffees from what he

had and the third boy gave them 2 toffees each from what he had and the number of toffees

remaining with each of them formed a geometric progression.

57. What are the ages of three brothers, given that their ages are positive integers?

I. The product of their ages is 21.

II. The sum of their ages is not divisible by 3.

58. Is the average of the largest and the smallest of four given numbers greater than the average of the four

numbers?

I. The difference between the largest and the second largest numbers is greater than the difference

between the second smallest and the smallest numbers.

II. The difference between the largest and the second largest numbers is less than the difference

between the second largest and the second smallest numbers.

Directions for questions 59 and 60: Study the following information and answer the questions that follow.

Going after a modest Indian total in the VB Series final, Ricky Ponting decides that for every single he takes, he

will run a three or hit a boundary (four or six). After each set of three threes, he will change his helmet. He took

the winning single to finish with 73* (not out) immediately after changing his helmet for the third time. He scored

all his runs in singles, threes and boundaries.

59. How many sixes did he hit?

A] 3 B] 5

C] 4 D] 2

60. How many singles did he take?

A] 15 B] 9

C] 11 D] 16


FLT1401 Solutions

SECTION I

1. [D] n students & nth

student completes the job in

the nth

hour. n students together do it in (2/3)n

hours 1 student does (3/2n2) of work per

hour (3/2n2)[n + (n – 1) + …… + 1] = 1

(3/2n) x [(n + 1)/2] = 1

n = 3 3 students, 4 PM.

2. [A] Required number = (The number of all the

prime numbers below 100) + 1. We have

added 1 to include the number 1 which is

neither prime nor composite and is not

divisible by 2 or 3 or 5.

3. [B] If T and C be the entire time and capital

respectively.

A’s share (T/2)(C/2) = TC/4

B’s share (T/3)(C/3) = TC/9

C’s share (T)(C – C/2 – C/3) = TC/6

A : B : C = (1/4) : (1/9) : (1/6) = 9 : 4 : 6;

B’s share = (4/19) x 95000 = Rs.20000

4. [A] If s = (a + b + c)/ 2 is the semi-perimeter,

area of triangle, = [s(s – a)(s – b)(s – c)]1/2

s =(30 + c)/2, a =20, b =10;

80 = (1/4)[(302 – c

2)(c

2 – 10

2)]

1/2

Use options and verify that c = √260

satisfies the equation.

5. [B] Food consumed = 5500 x 0.8 = 4400 kg;

Planned numbers = 5500/ 1.1 = 5000

Planned consumption/ guest = 0.8/(1 – 0.2)

= 1 kg

Food prepared = 5000 x 1 = 5000 kg

Food prepared > food consumed

6. [A] √a, √b, √c are consecutive positive integers.

c – b = (√c – √b) (√c + √b) = (√c + √b)

b – a = (√b – √a) (√b + √a) = (√b + √a)

a < b < c √c > √a √c + √b > √b + √a

(c – b) > (b – a)

7. [C] Let VR and VV be the speeds of the Rajdhani

and the Vaishali Express respectively.

[(VR + VV)] = 2T /L

[(VR –VV )] = 2T /M

VR = (L + M) T / (LM)

(2T / VR) = [2L M / (L + M)]

8. [D] Let the 3 integers be (a – 1), a and (a + 1)

respectively. Sum of these 3 integers = 3a

(a – 1) + (a)2 + (a + 1)

3 = (3a)

2

a(a2 – 5a + 4) = 0

a(a – 1)(a – 4) = 0

a = 4 since ’a’ and ‘a – 1’ cannot be zero

for all three integers to be positive.

(a – 1)2 = 9

9. [C] For x ≥ 3: 3x – x + 3 ≥ 0 x ≥ (-3/2)

x ≥ 3;

For 3 ≥ x ≥ 0; 3x – 3 + x ≥ 0 x ≥ 3/4

x ≥ 3/4

x < 0 ; –3x – 3 + x ≥ 0; 2x ≤ –3 x ≤ -3/2;

therefore x ≤ –3/2 and x ≥ 3/4 together

provide the correct range.

10. [D] 10 students have not taken a course in

Zoology (Z) or Botany (B) previously 90

have taken a course in Z or B or both,

previously.

Z = 63 27 have taken only B previously,

B = 81 9 have taken only Z previously.

Only B or only Z = 27 + 9 =36

Required percentage = 36/90 =40%

11. [A] The third bead would have to be of one of

the 2 colours even if the first two are of

different colours.

12. [C] Work units required for the task = 6 x 6 = 36

Work done till nth

day 1 + 2 + 3 + 4…n

= n(n + 1)/2 = 36 n = 8

13. [A] Radii of the inner circles are 18 cm and 14

cm. Radius of outer circle = Sum of

diameters of two inner circles = 2 x (Sum of

radii of inner circles) = 64 cm

Sum of areas = (182 + 14

2 + 64

2)

= 4616

14. [D]

The extended tangents to the circles (on

which the chord lies) form a triangle, which

is similar to formed by joining the centres

of the circles and hence equilateral.

Now, since the tangents are perpendicular to

radii of circles at the point of contact, the

r


angle for which the cord sticks to a cylinder

= (360 – 2 x 90 – 60) = 120

Required Length = 3 x (2r + 2r x

120/360) = 2r + 6r

15. [B] 280560 2803 9 8 1 . Now, every term of

this expansion, apart from the last term, will

have at least one multiple of 8. Last term = 1

Remainder = 1

16. [B] 8 cubes are not coloured at all.

24 cubes have exactly one colour on one of

its faces (8 cubes of each colour R, G and Y)

24 cubes have exactly two colours on two of

its faces (8 cubes of each colour combination

R-G, G-Y and R-Y)

8 cubes have all 3 colours on three of its

faces. Hence, we have 8 cubes having

exactly 2 colours Yellow and Green and 8

cubes having all the 3 colours.

17-18:

17. [B] Cost = 30,000 + 1500 x 140 = 240000;

Sales = 1200 x 200 + 300 x 100 = 270000

Profit = Rs.30000

18. [B] 30000 + 1200x140 = 200xa + 100x(1200 – a)

100a = 78000 a = 780 kg.

19-21: A truck should be hired on any day when the

storage cost (for units produced but not

transported TILL that day) exceeds Rs.1000.

Storage: S and Transportation: T

19. [B] Storage cost > 1000 when units to be stored

> 200 since cost of storage/ unit/ day =Rs.5

For days on which units are not transported,

they are carried over to the cumulative units

to be stored on next day.

20. [D] 1st day cost is same for storing or hiring

truck, so truck may not be hired. On all other

days, number of units for storage > 90

cost of hiring truck < cost of storage.

21. [D]

Total cost = Rs.6950

22-25:

22. [B] Net FDI O/f = O/f – I/f, which is > 100,000

only in 1995 and 1999.

1999: Net FDI O/f (‘000s) ≈ 965 – 837 =128

1995: Net FDI O/f (‘000s) ≈ 304 – 203 =101

maximum was in 1999.

23. [C] 1995: Net FDI I/f = Total I/f – Total O/f

= (203.3 + 112.5 + 14.7) –

(304.2 + 51.5 + 0.7) ≈ –26(‘000) $mn

24. [B] (b) is clearly incorrect since there are no

figures for 1994 to measure a single-year

increase in 1995. This means that either [B]

or [D] is correct. (a) is correct as Net FDI

inflows for Developed Countries are

negative for all years given in the table and

those for Central & Eastern Europe are of a

much smaller (positive) magnitude as

compared to Developing Countries. The

only possible correct option is [B].

25. [A] For Developing countries in 2001

26-30:

26. [C] There is a clear increase in 1996 (when

number of accidents has suddenly gone

down), which rules out [A], [B] and [D].

27. [A] ‘b’ is correct (an increase from 303000 to

407000 over 3 periods). ‘c’ is wrong as the

ratio was the highest in 1996. ‘a’ can be

verified as wrong by comparing the ratios

for 1996 and 1997 (a higher increase in

denominator than in numerator for ratio > 1).

28. [B] Both increase in a nearly constant proportion

29. [C] Comparison for 1994 and 1995 eliminates

[A] & [B]. Comparison between 1997 and

1998 (when ratio decreases) eliminates [D].

Day Units Units for storage

S/T

1 90 90 S

2 120 210 T

3 140 140 S

4 190 330 T

5 230 230 T

6 160 160 S

7 270 270 T

Day Units S/T Cost

1 90 S 450

2 120 T 900

3 140 S 700

4 190 T 900

5 230 S 1150

6 160 S 1950

7 270 T 900


30. [B] Minimum in 1994, maximum in 1998.

SECTION III

31-33:

31. [C] B should come just before sentence 6 as the

narrator states, in sentence B, the only

(embarrassing) way to bring her back from

the pool and follows up in sentence 6 by

saying how he/she felt when he/she had to

fetch Ginny out of the pool.

32. [A] B-A is a crucial and an obvious link since he

was hoping for her to turn back once more

while “inevitability” in sentence A suggested

that she won’t. C logically follows A, as the

moment he feared refers to her leaving and

not turning back. D immediately precedes 6:

the car moved, as he stood there.

33. [B] Sentences D and 6 follow C in the same

order because C mentions about Professor

Price’s claim for two different arrangements

that can be used to create the ratio and D and

6 mention the two solutions.

34-35:

34. [A] Options [B] and [C] are grammatically

incorrect and can be ruled out. Option [D] is

unnecessarily wordy and can be ruled out.

35. [B] The use of ‘having’ in this construction is

incorrect. ‘Would’ should be preferred over

‘will’ in the given structure because future is

being indicated with respect to past (viewed).

36-37:

36. [C] “Since .. have been talking .. makes” is the

correct usage.

37. [A] In [B], “usual peaceful city” is incorrect. [C]

is not the best choice because ‘to pervade’ or

‘to permeate’ is a gradual phenomenon that

happens ‘as the news trickles in’ while

‘replace’ is a sudden one-time activity. Also,

[C] is in passive voice, which is avoidable.

In [D], the tension actually replaces the city

and not its peace. [A] is the correct option.

38-40:

38. [A] Option [B] is a generalisation beyond the

scope of the argument. If option [C] were

correct, Manisha and Mrs. Bose would be on

the same side of the argument. Had option

[D] been correct, Manisha would have

argued that political experience was not as

important, which she does not; she only

seems to be saying that even sporting

experience could be handy. Manisha is

giving a reason why Saurav’s experience is

relevant to the task of a member of

parliament; hence, she construes that Mrs.

Bose is arguing that his experience is not

relevant and he is unfit for becoming a

member of parliament. Hence, [A] is the best

option.

39. [D] After mentioning the proposal of the

constant tax rate system and the opposite

progressive tax rate system, the author

begins to argue how ‘presently’ a gamut of

things defeat the purpose of progressive

taxing and the higher-profit corporates end

up paying a lower effective rate of tax. This

is best captured by [D]. He does not say

which of the two tax systems is better but

only tells why the progressive tax rate

system is infact not really progressive. This

is best captured in option [D]. Given the

author’s argument, [A] is contradictory as

the higher-profit corporates are paying a

lesser effective tax rate at present. [B] is not

the best option as it views the implication on

the government’s tax collection and not on

the corporates, which seems to be the

author’s focus. [C] is not a correct

conclusion as it compares constant tax rate

system with ‘any’ progressive tax rate

system – the author only compares it with

the ‘present’ progressive tax rate system

with its web of deductions etc which makes

the progressive nature “more illusory than

real”.

40. [D] Under what circumstances would the person

be subject to a violation to the right of

privacy would be of the greatest concern.

Authorized personnel (who carries out this

intrusion), right to privacy (the details of the

right are less important than the concept

about which the journalist is concerned) and

however minute (since the smallest possible

extent being acknowledged is infact a

positive sign for someone concerned with

privacy) are less important than the

circumstances. Hence, [D] is the best choice.

41. [B] The 2nd

para of the passage indicates his lack

of temperament as a player (a). The opening

line of the 5th

para (“In part by making sure


…”) substantiate (b) and his rise as the

General Manager of Oakland A’s through

“performance scouting” substantiate (c).

42. [D] Refer to the last sentence of the 8th

para –

“You mess with the latter [the game’s

theology] at your own peril – professional

and personal.”

43. [C] While [A] is not a selection criterion, [B]

and [D] are true, but do not fully capture the

Oakland A’s scouting strategy. [C], which

summarizes the concept of “performance

scouting” best indicates their strategy.

44. [D] [A] is incorrect because is not Billy Beane’s

failure as a player that the passage dwells on,

but his radically new approach to the game’s

management. [B] and [C] are general and

potentially misleading. [D] indicates the new

and successful approach towards baseball,

pioneered by Billy, that has challenged

tradition of the sport.

45. [B] [C] and [D] are beyond the scope of the

discussion in the passage. Between [A] and

[B], the latter is more appropriate because

the passage addresses “psychological and

social issues” and not just “economic” ones.

46. [C] (a) is wrong because it is women over 30

whose numbers are increasing and (c) is

wrong – Norrath is a virtual state.

47. [A] Refer to para 5 and para 6 to confirm (a) and

(c) respectively.

48. [C] The passage explores the importance of

understanding the implications of the virtual

worlds becoming increasingly important for

more and more people from personal as well

as economic viewpoints. As clear from the

discussion in the concluding para, Hunter

wants us to be prepared for a time “when

virtual becomes real”!

49. [C] Refer to the discussion in the last para.

50. [C] Refer to the last few lines of the 3rd

para.

51-52:

Total money in the game (in any round) = 64 x 4 = Rs.256

52. [C] Round 3 – Dabbu : Anu = 160 : 32 = 5 : 1

52. [B] Money with Charan after 2nd

round = Rs.144

53-55:

53. [A] (Sunil/Kapil) can occupy either (1/3) or (3/5)

or (2/4). Sushil and Ratul cannot be seated

together in the third case. In the first and the

second cases if (Sushil/Ratul) occupy (4/5)

or (1/2) respectively then Anil would be

seated adjacent to Sunil which is not

permissible. Hence I is necessarily true. The

third case allows both II and III to be false

(eg. Anil, Kapil, Ratul, Sunil and Sushil –

from A-1 to A-5 in that order).

54. [C] From previous question’s solution, Sunil or

Kapil occupy A-3 in the first two cases and

Anil-Sunil will be adjacent if Anil occupied

A-3 in the third case.

55. [D] For Kapil and Anil not to be adjacent, Anil

has to occupy one of the two end seats. He

cannot occupy A-2 or A-4.

PS: Symmetry i.e. interchangeability of A-1

with A-5 and A-2 with A-4, can help

eliminate choices in 130 and 131.

56-58:

56. [B] Let a, b, c be the number of toffees with 1st,

2nd

and the 3rd

boy respectively. Given that:

c = b + 4 = a + 8, b = a + 4

I does not provide the required information

as a, b and c will be multiples of 2 whenever

a is even.

II a’ = a – 4 + 2 = a – 2

b’ = b – 6 + 2 = a

c’ = c – 4 = a + 4

For a’, b’ and c’ to form a GP:

a2 = (a – 2)(a + 4) a = 4

Hence, II alone is sufficient.

57. [D] It is possible that two brothers are of the

same age (twins). You may see that both {1,

Round Loser Anu Bunty Charan Dabbu

4 Daboo 64 64 64 64

3 Charan 32 32 32 160

2 Bunty 16 16 144 80

1 Anu 8 136 72 40

Initial -- 132 68 36 20


1, 21} and {1, 3, 7} both satisfy I and II.

58. [A] Let the 4 numbers be a, b, c, d in increasing

order of magnitude.

Is (a + d)/2 > (a + b + c + d)/4

or is 2a + 2d > a + b + c + d

or is d – c > b – a?

I d – c > b – a

II d – c < c – b

I alone answers the question.

59–60: 3 helmet changes means 9 threes ≡ 27 runs.

Corresponding to 9 3’s, he would have taken

9 singles, which makes a total of 36 runs

He scores the rest 72 – 36 = 36 runs in

boundaries and singles, with an equal

number of singles and boundaries. This is

possible with 3 sixes + 3 fours + 6 singles.

Total singles in 72 runs = 9 + 6 = 15.

59. [A]

60. [D] 15 + 1 (Winning single) = 16

Flt 1401

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Transcript of Flt 1401