CAT 2012 Model Question Paper

Page 1
CAT TEST BOOKLET MODEL, GENERAL PATTERN OF QUESTIONS
Note: This Test Booklet model only indicates a general pattern of questions that may be asked. It is, however, made
clear that the actual questions may or may not be on the same pattern.
CAT 200@
ABOUT THE TEST
1. This test has three sections, which examine various abilities. Each section has fifty (50) questions.
2. You will be given two hours to complete the test. In distributing the time over the three sections, please bear in mind
that you need to demonstrate your competence in all three sections.
HOW TO ANSWER
3. Directions for answering the questions are given in the Test Booklet at the beginning of each group of questions. Read
these directions carefully and answer the questions by darkening the appropriate answer choice circles.
4. There is only one correct answer for each question. Wrong answers carry negative marks.
5. Do the rough work only on the Test Booklet and NOT on the Answer Sheet.
6. Follow the instructions of the invigilator.
AFTER THE TEST
7. At the end of the test, remain seated until the invigilator collects the Answer Sheets from your seats. Do not leave the
hall until the invigilator announces, —You may leave now.“ The invigilator will make the announcement only after
collecting the Answer Sheets from all candidates in the room.
ANY CANDIDATE GIVING / SEEKING / RECEIVING ASSISTANCE OR FOUND COPYING WILL BE
DISQUALIFIED.
©
Indian Institutes of Management. This Test Booklet is the property of the Indian Institutes of Management. Anyone
found in unauthorised possession of or tampering with the same is liable to be prosecuted.
Page 2
SECTION I
Number of Questions: 50
DIRECTIONS for Questions 1 to 25: Each of the five passages given below is followed by five questions. Choose the
best answer to each question.
PASSAGE I
At first sight, it looks as though panchayati raj, the lower layer of federalism in our polity, is as firmly entrenched in our
system as is the older and higher layer comprising the Union Government and the States. Like the democratic institutions
at the higher level, those at the panchayat level, the panchayati raj institutions (PRIs), are written into and protected by the
Constitution. All the essential features, which distinguish a unitary system from a federal one, are as much enshrined at the
lower as at the upper level of our federal system. But look closely and you will discover a fatal flaw. The letter of the
Constitution as well as the spirit of the present polity have exposed the intra-State level of our federal system to a dilemma
of which the inter-State and Union-State layers are free. The flaw has many causes. But all of them are rooted in an
historical anomaly, that while the dynamics of federalism and democracy have given added strength to the rights given to
the States in the Constitution, they have worked against the rights of panchayats.
At both levels of our federal system there is the same tussle between those who have certain rights and those who try to
encroach upon them if they believe they can. Thus the Union Government was able to encroach upon certain rights given
to the States by the Constitution. It got away with that because the single dominant party system, which characterised
Centre-State relations for close upon two decades, gave the party in power at the Union level many extra-constitutional
political levers. Second, the Supreme Court had not yet begun to extend the limits of its power. But all that has changed in
recent times. The spurt given to a multi-party democracy by the overthrow of the Emergency in 1977 became a long-term
trend later on because of the ways in which a vigorously democratic multi-party system works in a political society which
is as assertively pluralistic as Indian society is. It gives political clout to all the various segments which constitute that
society. Secondly, because of the linguistic reorganisation of States in the 1950s, many of the most assertive segments
have found their most assertive expression as States. Thirdly, with single-party dominance becoming a thing of the past at
the Union level, governments can be formed at that level only by multi-party coalitions in which State-level parties are
major players. This has made it impossible for the Union Government to do much about anything unless it also carries a
sufficient number of State-level parties with it. Indian federalism is now more real than it used to be, but an unfortunate
side-effect is that India‘s panchayati raj system, inaugurated with such fanfare in the early 1980s, has become less real.
By the time the PRIs came on the scene, most of the political space in our federal system had been occupied by the Centre
in the first 30 years of Independence, and most of what was still left after that was occupied by the States in the next 20.
PRIs might have hoped to wrest some space from their immediate neighbour, the States, just as the States had wrested
some from the Centre. But having at last managed to checkmate the Centre‘s encroachments on their rights, the States
were not about to allow the PRIs to do some encroaching of their own.
By the 1980s and early 1990s, the only national party left, the Congress, had gone deeper into a siege mentality. Finding
itself surrounded by State-level parties, it had built walls against them instead of winning them over. Next, the States
retaliated by blocking Congress proposals for panchayati raj in Parliament, suspecting that the Centre would try to use
panchayats to by-pass State Governments. The suspicion fed on the fact that the powers proposed by the Congress for
panchayats were very similar to many of the more lucrative powers of State Governments. State-level leaders also feared,
perhaps, that if panchayat-level leaders captured some of the larger PRIs, such as district-level panchayats, they would
exert pressure on State-level leaders through intra-State multi-party federalism.
It soon became obvious to Congress leaders that there was no way the panchayati raj amendments they wanted to write
into the Constitution would pass muster unless State-level parties were given their pound of flesh. The amendments were
allowed only after it was agreed that the powers of panchayats could be listed in the Constitution. Illustratively, they would
be defined and endowed on PRIs by the State Legislature acting at its discretion.
This left the door wide open for the States to exert the power of the new political fact that while the Union and State
Governments could afford to ignore panchayats as long as the MLAs were happy, the Union Government had to be
sensitive to the demands of State-level parties. This has given State-level actors strong beachheads on the shores of both
inter-State and intra-State federalism. By using various administrative devices and non-elected parallel structures, State
Governments have subordinated their PRIs to the State administration and given the upper hand to State Government
Page 3
officials against the elected heads of PRIs. Panchayats have become local agencies for implementing schemes drawn up in
distant State capitals. And their own volition has been further circumscribed by a plethora of —Centrally-sponsored
schemes“. These are drawn up by even more distant Central authorities but at the same time tie up local staff and resources
on pain of the schemes being switched off in the absence of matching local contribution. The —foreign aid“ syndrome can
be clearly seen at work behind this kind of —grass roots development“.
1. Which of the following best captures the current state of Indian federalism as described in the passage?
1. The Supreme Court has not begun to extend the limits of its power.
2. The multi-party system has replaced the single party system.
3. The Union, state and panchayati raj levels have become real.
4. There is real distribution of power between the Union and State level parties.
2. The central theme of the passage can be best summarized as:
1. Our grassroots development at the panchayat level is now driven by the —foreign aid“ syndrome.
2. Panchayati raj is firmly entrenched at the lower level of our federal system of governance.
3. A truly federal polity has not developed since PRIs have not been allowed the necessary political space.
4. The Union government and State-level parties are engaged in a struggle for the protection of their respective
rights.
3. The sentence in the last paragraph, —And their own volition has been further circumscribed…“, refers to:
1. The weakening of the local institutions‘ ability to plan according to their needs.
2. The increasing demands made on elected local leaders to match central grants with local contributions.
3. The empowering of the panchayat system as implementers of schemes from State capitals.
4. The process by which the prescribed Central schemes are reformulated by local elected leaders.
4. What is the —dilemma“ at the intra-State level mentioned in the first paragraph of the passage?
1. Should the state governments wrest more space from the Union, before considering the panchayati system?
2. Should rights similar to those that the States managed to get be extended to panchayats as well?
3. Should the single party system which has withered away be brought back at the level of the States?
4. Should the States get —their pound of flesh“ before allowing the Union government to pass any more laws?
5. Which of the following most closely describes the ”fatal flaw‘ that the passage refers to?
1. The ways in which the democratic multi-party system works in an assertively pluralistic society like India‘s
are flawed.
2. The mechanisms that our federal system uses at the Union government level to deal with States are imperfect.
3. The instruments that have ensured federalism at one level, have been used to achieve the opposite at another.
4. The Indian Constitution and the spirit of the Indian polity are fatally flawed.
PASSAGE II
The endless struggle between the flesh and the spirit found an end in Greek art. The Greek artists were unaware of it. They
were spiritual materialists, never denying the importance of the body and ever seeing in the body a spiritual significance.
Mysticism on the whole was alien to the Greeks, thinkers as they were. Thought and mysticism never go well together and
there is little symbolism in Greek art. Athena was not a symbol of wisdom but an embodiment of it and her statues were
beautiful grave women, whose seriousness might mark them as wise, but who were marked in no other way. The Apollo
Belvedere is not a symbol of the sun, nor the Versailles Artemis of the moon. There could be nothing less akin to the ways
of symbolism than their beautiful, normal humanity. Nor did decoration really interest the Greeks. In all their art they were
preoccupied with what they wanted to express, not with ways of expressing it, and lovely expression, merely as lovely
expression, did not appeal to them at all.
Page 4
Greek art is intellectual art, the art of men who were clear and lucid thinkers, and it is therefore plain art. Artists than
whom the world has never seen greater, men endowed with the spirit‘s best gift, found their natural method of expression
in the simplicity and clarity which are the endowment of the unclouded reason. —Nothing in excess,“ the Greek axiom of
art, is the dictum of men who would brush aside all obscuring, entangling superfluity, and see clearly, plainly, unadorned,
what they wished to express. Structure belongs in an especial degree to the province of the mind in art, and architectonics
were pre-eminently a mark of the Greek. The power that made a unified whole of the trilogy of a Greek tragedy, that
envisioned the sure, precise, decisive scheme of the Greek statue, found its most conspicuous expression in Greek
architecture. The Greek temple is the creation, par excellence, of mind and spirit in equilibrium.
A Hindoo temple is a conglomeration of adornment. The lines of the building are completely hidden by the decorations.
Sculptured figures and ornaments crowd its surface, stand out from it in thick masses, break it up into a bewildering series
of irregular tiers. It is not a unity but a collection, rich, confused. It looks like something not planned but built this way and
that as the ornament required. The conviction underlying it can be perceived: each bit of the exquisitely wrought detail had
a mystical meaning and the temple‘s exterior was important only as a means for the artist to inscribe thereon the symbols
of the truth. It is decoration, not architecture.
Again, the gigantic temples of Egypt, those massive immensities of granite which look as if only the power that moves in
the earthquake were mighty enough to bring them into existence, are something other than the creation of geometry
balanced by beauty. The science and the spirit are there, but what is there most of all is force, unhuman force, calm but
tremendous, overwhelming. It reduces to nothingness all that belongs to man. He is annihilated. The Egyptian architects
were possessed by the consciousness of the awful, irresistible domination of the ways of nature; they had no thought to
give to the insignificant atom that was man.
Greek architecture of the great age is the expression of men who were, first of all, intellectual artists, kept firmly within the
visible world by their mind, but, only second to that, lovers of the human world. The Greek temple is the perfect
expression of the pure intellect illumined by the spirit. No other great buildings anywhere approach its simplicity. In the
Parthenon straight columns rise to plain capitals; a pediment is sculptured in bold relief; there is nothing more. And yet–
here is the Greek miracle–this absolute simplicity of structure is alone in majesty of beauty among all the temples and
cathedrals and palaces of the world. Majestic but human, truly Greek. No superhuman force as in Egypt; no strange
supernatural shapes as in India; the Parthenon is the home of humanity at ease, calm, ordered, sure of itself and the world.
The Greeks flung a challenge to nature in the fullness of their joyous strength. They set their temples on the summit of a
hill overlooking the wide sea, outlined against the circle of the sky. They would build what was more beautiful than hill
and sea and sky and greater than all these. It matters not at all if the temple is large or small; one never thinks of the size. It
matters not how much it is in ruins. A few white columns dominate the lofty height at Sunion as securely as the great mass
of the Parthenon dominates all the sweep of sea and land around Athens. To the Greek architect man was the master of the
world. His mind could understand its laws; his spirit could discover its beauty.
6. Which of the following is NOT a characteristic of Greek architecture, according to the passage?
1. A lack of excess.
2. Simplicity of form.
3. Expression of intellect.
4. Mystic spirituality.
7. From the passage, which of the following combinations can be inferred to be correct?
1. Hindoo temple œ power of nature.
2. Parthenon œ simplicity.
3. Egyptian temple œ mysticism.
4. Greek temple œ symbolism.
8. According to the passage, what conception of man can be inferred from Egyptian architecture?
1. Man is the centre of creation.
2. Egyptian temples save man from unhuman forces.
3. Temples celebrate man‘s victory over nature.
4. Man is inconsequential before the tremendous force of nature.
9. According to the passage, which of the following best explains why there is little symbolism in Greek art?
Page 5
1. The Greeks focused on thought rather than mysticism.
2. The struggle between the flesh and the spirit found an end in Greek art.
3. Greek artists were spiritual materialists.
4. Greek statues were embodiments rather than symbols of qualities.
10. —The Greeks flung a challenge to nature in the fullness of their joyous strength.“ Which of the following best captures
the ”challenge‘ that is being referred to?
1. To build a monument matching the background colours of the sky and the sea.
2. To build a monument bigger than nature‘s creations.
3. To build monuments that were more appealing to the mind and spirit than nature‘s creations.
4. To build a small but architecturally perfect monument.
PASSAGE III
While I was in class at Columbia, struggling with the esoterica du jour, my father was on a bricklayer‘s scaffold not far up
the street, working on a campus building. Once we met up on the subway going home–he was with his tools, I with my
books. My father wasn‘t interested in Thucydides, and I wasn‘t up on arches. My dad has built lots of places in New York
City he can‘t get into: colleges, condos, office towers. He made his living on the outside. Once the walls were up, a place
took on a different feel for him, as though he wasn‘t welcome anymore. Related by blood, we‘re separated by class, my
father and I. Being the white-collar child of a blue-collar parent means being the hinge on the door between two ways of
life. With one foot in the working-class, the other in the middle class, people like me are Straddlers, at home in neither
world, living a limbo life.
What drove me to leave what I knew? Born blue-collar, I still never felt completely at home among the tough guys and
anti-intellectual crowd of my neighbourhood in deepest Brooklyn. I never did completely fit in among the preppies and
suburban royalty of Columbia, either. It‘s like that for Straddlers. It was not so smooth jumping from Italian old-world
style to US professional in a single generation. Others who were the first in their families to go to college, will tell you the
same thing: the academy can render you unrecognisable to the very people who launched you into the world. The ideas
and values absorbed in college challenge the mom-and-pop orthodoxy that passed for truth for 18 years. Limbo folk may
eschew polyester blends for sea-isle cotton, prefer Brie to Kraft slices. They marry outside the neighbourhood and raise
their kids differently. They might not be in church on Sunday.
When they pick careers (not jobs), it‘s often a kind of work their parents never heard of or can‘t understand. But for the
white-collar kids of blue-collar parents, the office is not necessarily a sanctuary. In Corporate America, where the rules are
based on notions foreign to working-class people, a Straddler can get lost. Social class counts at the office, even though
nobody likes to admit it. Ultimately, corporate norms are based on middle-class values, business types say. From an early
age, middle-class people learn how to get along, using diplomacy, nuance, and politics to grab what they need. It is as
though they are following a set of rules laid out in a manual that blue-collar families never have the chance to read.
People born into the middle class to parents with college degrees have lived lives filled with what French sociologist Pierre
Bourdieu calls ”cultural capital‘. Growing up in an educated environment, they learn about Picasso and Mozart, stock
portfolios and crème brulee. In a home with cultural capital, there are networks: someone always has an aunt or golfing
buddy with the inside track for an internship or some entry-level job. Dinner-table talk could involve what happened that
day to mom and dad at the law firm, the doctor's office, or the executive suite. Middle-class kids can grow up with a sense
of entitlement that will carry them through their lives. This ”belongingness‘ is not just related to having material means, it
also has to do with learning and possessing confidence in your place in the world. Such early access and direct exposure to
culture in the home is the more organic, ”legitimate‘ means of appropriating cultural capital, Bourdieu tells us. Those of us
possessing ”ill-gotten Culture‘ can learn it, but never as well. Something is always a little off about us, like an engine with
imprecise timing. There‘s a greater match between middle-class lives and the institutions in which the middle class works
and operates–universities or corporations. Children of the middle and upper classes have been speaking the language of
the bosses and supervisors forever.
Page 6
Blue-collar kids are taught by their parents and communities to work hard to achieve, and that merit is rewarded. But no
blue-collar parent knows whether such things are true in the middle-class world. Many professionals born to the working-
class report feeling out of place and outmanoeuvred in the office. Soon enough, Straddlers learn that straight talk won‘t
always cut. Resolving conflicts head-on and speaking your mind doesn‘t always work, no matter how educated the
Straddler is.
In the working-class, people perform jobs in which they are closely supervised and are required to follow orders and
instructions. That, in turn, affects how they socialise their children. Children of the working-class are brought up in a home
in which conformity, obedience and intolerance for back talk are the norm–the same characteristics that make a good
factory worker.
11. According to the passage, which of the following statements about ”cultural capital‘ is NOT true?
1. It socializes children early into the norms of middle class institutions.
2. It helps them learn the language of universities and corporations.
3. It creates a sense of enlightenment in middle-class children.
4. It develops bright kids into Straddlers.
12. According to the passage, the patterns of socialization of working-class children make them most suited for jobs that
require
1. diplomacy.
2. compliance with orders.
3. enterprise and initiative.
4. high risk taking.
13. When Straddlers enter white collar jobs, they get lost because:
1. they are thrown into an alien value system.
2. their families have not read the rules in corporate manuals.
3. they have no one to guide them through the corporate maze.
4. they miss the ”mom and pop orthodoxy‘.
14. What does the author‘s statement, —My father wasn‘t interested in Thucydides, and I wasn‘t up on arches“, illustrate?
1. Organic cultural capital.
2. Professional arrogance and social distance.
3. Evolving social transformation.
4. Breakdown of family relationships.
15. Which of the following statements about Straddlers does the passage NOT support explicitly?
1. Their food preferences may not match those of their parents.
2. They may not keep up some central religious practices of their parents.
3. They are at home neither in the middle class nor in the working-class.
4. Their political ideologies may differ from those of their parents.
PASSAGE IV
Pure love of learning, of course, was a less compelling motive for those who became educated for careers other than
teaching. Students of law in particular had a reputation for being materialistic careerists in an age when law was becoming
known as —the lucrative science“ and its successful practice the best means for rapid advancement in the government of
both church and state. Medicine too had its profit-making attractions. Those who did not go on to law or medicine could, if
they had been well trained in the arts, gain positions at royal courts or rise in the clergy. Eloquent testimony to the profit
motive behind much of twelfth-century education was the lament of a student of Abelard around 1150 that —Christians
educate their sons. . . for gain, in order that the one brother, if he be a clerk, may help his father and mother and his other
brothers, saying that a clerk will have no heir and whatever he has will be ours and the other brothers.“ With the opening
Page 7
of positions in law, government, and the church, education became a means for advancement not only in income but also
in status. Most who were educated were wealthy, but in the twelfth century, more often than before, many were not and
were able to rise through the ranks by means of their education. The most familiar examples are Thomas Becket, who rose
from a humble background to become chancellor of England and then archbishop of Canterbury, and John of Salisbury,
who was born a —plebeian“ but because of his reputation for learning died as bishop of Chartres.
The instances of Becket and John of Salisbury bring us to the most difficult question concerning twelfth-century
education: To what degree was it still a clerical preserve? Despite the fact that throughout the twelfth century the clergy
had a monopoly of instruction, one of the outstanding medievalists of our day, R. W. Southern, refers with good reason to
the institutions staffed by the clergy as —secular schools.“ How can we make sense out of the paradox that twelfth-century
schools were clerical and yet —secular“?
Let us look at the clerical side first. Not only were all twelfth-century teachers except professionals and craftsmen in
church orders, but in northern Europe students in schools had clerical status and looked like priests. Not that all really were
priests, but by virtue of being students all were awarded the legal privileges accorded to the clergy. Furthermore, the large
majority of twelfth-century students, outside of the possible exception of Italy, if not already priests became so after their
studies were finished. For these reasons, the term —cleric“ was often used to denote a man who was literate and the term
—layman“ one who was illiterate. The English word for cleric, clerk, continued for a long time to be a synonym for student
or for a man who could write, while the French word clerc even today has the connotation of intellectual.
Despite all this, twelfth-century education was taking on many secular qualities in its environment, goals, and curriculum.
Student life obviously became more secular when it moved out from the monasteries into the bustling towns. Most
students wandered from town to town in search not only of good masters but also of worldly excitement, and as the twelfth
century progressed they found the best of each in Paris. More important than environment was the fact that most students,
even though they entered the clergy, had secular goals. Theology was recognized as the —queen of the sciences,“ but very
few went on to it. Instead they used their study of the liberal arts as a preparation for law, medicine, government service, or
advancement in the ecclesiastical hierarchy.
This being so, the curriculum of the liberal arts became more sophisticated and more divorced from religion. Teaching was
still almost exclusively in Latin, and the first book most often read was the Psalter, but further education was no longer
similar to that of a choir school. In particular, the discipline of rhetoric was transformed from a linguistic study into
instruction in how to compose letters and documents; there was a new stress on logic; and in all the liberal arts and
philosophy texts more advanced than those known in the early Middle Ages were introduced.
Along with the rise of logic came the translation of Greek and Arabic philosophical and scientific works. Most important
was the translation of almost all the writings of Aristotle, as well as his sophisticated Arabic commentators, which helped
to bring about an intellectual revolution based on Greek rationalism. On a more prosaic level, contact with Arabs resulted
in the introduction in the twelfth century of the Arabic numeral system and the concept of zero. Though most westerners
first resisted this and made crude jokes about the zero as an ambitious number —that counts for nothing and yet wants to be
counted,“ the system steadily made its inroads first in Italy and then throughout Europe, thereby vastly simplifying the arts
of computation and record keeping.
16. According to the passage, which of the following is the most noteworthy trend in education in twelfth-century
Europe?
1. Secularization of education.
2. Flowering of theology as the queen of the sciences.
3. Wealthy people increasingly turning to education.
4. Rise of the clergy‘s influence on the curriculum.
17. What does the sentence —Christians educate their sons … will be ours and the other brothers“ imply?
1. The Christian family was a close-knit unit in the twelfth century.
2. Christians educated their sons not so much for the love of learning as for material gain.
3. Christians believed very strongly in educating their sons in the Church.
Page 8
4. The relationship between Christian parents and their sons was exploitative in the twelfth century.
18. According to the passage, twelfth century schools were clerical and yet secular because:
1. many teachers were craftsmen and professionals who did not form part of the church.
2. while the students had the legal privileges accorded to the clergy and looked like priests, not all were really
priests.
3. the term ”cleric‘ denoted a literate individual rather than a strict association with the church.
4. though the clergy had a monopoly in education, the environment, objectives and curriculum in the schools
were becoming secular.
19. According to the author, in the twelfth century, individuals were motivated to get higher education because it:
1. was a means for material advancement and higher status.
2. gave people with wealth an opportunity to learn.
3. offered a coveted place for those with a love of learning.
4. directly added to the income levels of people.
20. According to the passage, what led to the secularization of the curriculum of the liberal arts in the twelfth century?
1. It was divorced from religion and its influences.
2. Students used it mainly as a base for studying law and medicine.
3. Teaching could no longer be conducted exclusively in Latin.
4. Arabic was introduced into the curriculum.
PASSAGE V
The invention of the gas turbine by Frank Whittle in England and Hans von Ohain in Germany in 1939 signalled the
beginning of jet transport. Although the French engineer Lorin had visualized the concept of jet propulsion more than 25
years earlier, it took improved materials and the genius of Whittle and von Ohain to recognize the advantages that a gas
turbine offered over a piston engine, including speeds in excess of 350 miles per hour. The progress from the first flights
of liquid propellant rocket and jet-propelled aircraft in 1939 to the first faster-than-sound (supersonic) manned airplane
(the Bell X-1) in 1947 happened in less than a decade. This then led very rapidly to a series of supersonic fighters and
bombers, the first of which became operational in the 1950s. World War II technology foundations and emerging Cold
War imperatives then led us into space with the launch of Sputnik in 1957 and the placing of the first man on the moon
only 12 years later–a mere 24 years after the end of World War II.
Now, a hypersonic flight can take you anywhere in the planet in less than four hours. British Royal Air Force and Royal
Navy, and the air forces of several other countries are going to use a single-engine cousin to the F/A-22 called the F-35
Joint Strike Fighter. These planes exhibit stealthy angles and coatings that make it difficult for radar to detect them, among
aviation‘s most cutting-edge advances in design. The V-22, known as tilt-rotor, part helicopter, part airplane, takes off
vertically, then tilts its engine forward for winged flight. It provides speed, three times the payload, five times the range of
the helicopters it‘s meant to replace. The new fighter, F/A-22 Raptor, with more than a million parts, shows a perfect
amalgamation of stealth, speed, avionics and agility.
It seems conventional forms, like the Predator and Global Hawk are passé, the stealthier unmanned aerial vehicles (UAVs)
are in. They are shaped like kites, bats and boomerang, all but invisible to the enemy radar and able to remain over hostile
territory without any fear of getting grilled if shot down. Will the UAVs take away pilots‘ jobs permanently? Can a
computer-operated machine take a smarter and faster decision in a war-like situation? The new free-flight concept will
probably supplement the existing air traffic control system by computers on each plane to map the altitude, route, weather
and other planes; and a decade from now, there will be no use of radar any more.
How much bigger can the airplanes get? In the ”50s they got speed, in the ”80s they became stealthy. Now, they are getting
smarter thanks to computer automation. The change is quite huge: from the four-seater to the A380 airplane. It seems we
are now trading speed for size as we build a new superjumbo jet, the 555 seater A380, which will fly at almost the same
Page 9
speed of the Boeing 707, introduced half a century ago, but with an improved capacity, range, greater fuel economy. A few
years down the line will come the truly larger model, to be known as 747X. In the beginning of 2005, the A380, the
world‘s first fully double-decked superjumbo passenger jet, weighing 1.2 million pounds, may carry a load of about 840
passengers.
Barring the early phase, civil aviation has always lagged behind the military technologies (of jet engines, lightweight
composite materials etc.). There are two fundamental factors behind the decline in commercial aeronautics in comparison
to military aeronautics. There is no collective vision of our future such as the one that drove us in the past. There is also a
need for a more aggressive pool of airplane design talents to maintain an industry that continues to find a multibillion
dollar-a-year market for its product.
Can the history of aviation technology tell us something about the future of aeronautics? Have we reached a final state in
our evolution to a mature technology in aeronautics? Are the challenges of coming out with the ”better, cheaper, faster‘
designs somehow inferior to those that are suited for ”faster, higher, further‘? Safety should improve greatly as a result of
the forthcoming improvements in airframes, engines, and avionics. Sixty years from now, aircraft will recover on their
own if the pilot loses control. Satellites are the key not only to GPS (global positioning system) navigation but also to in-
flight communications, uplinked weather, and even in-flight e-mail. Although there is some debate about what type of
engines will power future airplanes–lightweight turbines, turbocharged diesels, or both–there is little debate about how
these power plants will be controlled. Pilots of the future can look forward to more and better on-board safety equipment.
21. According to the first paragraph of the passage, which of the following statements is NOT false?
1. Frank Whittle and Hans von Ohain were the first to conceive of jet propulsion.
2. Supersonic fighter planes were first used in the Second World War.
3. No man had traveled faster than sound until the 1950s.
4. The exploitation of jet propulsion for supersonic aviation has been remarkably fast.
22. What is the fourth paragraph of the passage about?
1. Stealth, speed, avionics, and agility of new aircraft.
2. The way aircraft size has been growing.
3. Use of computer automation in aircraft.
4. Super-jumbo jets that can take more than 500 passengers.
23. What is the most noteworthy difference between V-22 and a standard airplane? The V-22
1. can take off vertically.
2. has winged flight.
3. has excellent payload.
4. has a very high range.
24. Why might radars not be used a decade from now?
1. Stealth technology will advance so much that it is pointless to use radar to detect aircraft.
2. UAVs can remain over hostile territory without any danger of being detected.
3. Computers on board may enable aircraft to manage safe navigation on their own.
4. It is not feasible to increase the range of radars.
25. According to the author, commercial aeronautics, in contrast to military aeronautics, has declined because, among
other things,
1. speed and technology barriers are more easily overcome in military aeronautics.
2. the collective vision of the past continues to drive civil and commercial aeronautics.
3. though the industry has a huge market, it has not attracted the right kind of aircraft designers.
4. there is a shortage of materials, like light weight composites, used in commercial aeronautics.
Page 10
DIRECTIONS for Questions 26 to 30: In each question, the word at the top of the table is used in four different ways,
numbered 1 to 4. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE.
26. Help
1 This syrup will help your cold.
2 I can‘t help the colour of my skin.
3 Ranjit may help himself with the beer in the fridge.
4 Do you really expect me to help you out with cash?
27. Reason
1 Your stand is beyond all reason.
2 Has she given you any reason for her resignation?
3 There is little reason in your pompous advice.
4 How do you deal with a friend who doesn‘t listen to a reason?
28. Paper
1 Your suggestions look great on the paper, but are absolutely impractical.
2 Do you know how many trees are killed to make a truckload of paper?
3 So far I have been able to paper over the disagreements among my brothers.
4 Dr. Malek will read a paper on criminalization of politics.
29. Business
1 I want to do an MBA before going into business.
2 My wife runs profitable business in this suburb.
3 If we advertise we will get twice as much business as we have now.
4 How you spend your money is as much my business as yours.
30. Service
1 Customers have to service themselves at this canteen.
2 It‘s a service lift; don‘t get into it.
3 I‘m not making enough even to service the loan.
4 Jyoti‘s husband has been on active service for three months.
DIRECTIONS for Questions 31 to 38: There are two gaps in each of the following sentences. From the pairs of words
given, choose the one that fills the gaps most appropriately. The first word in the pair should fill the first gap.
31. This simplified ______ to the decision-making process is a must read for anyone ______ important real estate,
personal, or professional decisions.
1. primer, maximizing
2. tract, enacting
3. introduction, under
4. guide, facing
32. Physicians may soon have ______ to help paralyzed people move their limbs by bypassing the ______ nerves that
once controlled their muscles.
1. instruments, detrimental
2. ways, damaged
3. reason, involuntary
4. impediments, complex
33. The Internet is a medium where users have nearly ______ choices and ______ constraints about where to go and what
to do.
1. unbalanced, nonexistent
2. embarrassing, no
3. unlimited, minimal
4. choking, shocking
Page 11
34. The best punctuation is that of which the reader is least conscious; for when punctuation, or lack of it, ______ itself, it
is usually because it ______.
1. obtrudes, offends
2. enjoins, fails
3. conceals, recedes
4. effaces, counts
35. The argument that the need for a looser fiscal policy to ______ demand outweighs the need to ______ budget deficits
is persuasive.
1. assess, minimize
2. outstrip, eliminate
3. stimulate, control
4. restrain, conceal
36. The Athenians on the whole were peaceful and prosperous; they had ______ to sit at home and think about the
universe and dispute with Socrates, or to travel abroad and ______ the world.
1. leisure, explore
2. time, ignore
3. ability, suffer
4. temerity, understand
37. Their achievement in the field of literature is described as ______; sometimes it is even called ______.
1. magnificent, irresponsible
2. insignificant, influential
3. significant, paltry
4. unimportant, trivial
38. From the time she had put her hair up, every man she had met had groveled before her and she had acquired a mental
attitude toward the other sex which was a blend of ______ and ______.
1. admiration, tolerance
2. indifference, contempt
3. impertinence, temperance
4. arrogance, fidelity
DIRECTIONS for Questions 39 to 46: The sentences given in each question, when properly sequenced, form a coherent
paragraph. Each sentence is labelled with a letter. Choose the most logical order of sentences from among the given
choices to construct a coherent paragraph.
39.
A. The wall does not simply divide Israel from a putative Palestinian state on the basis of the 1967 borders.
B. A chilling omission from the road map is the gigantic ”separation wall‘ now being built in the West Bank by
Israel.
C. It is surrounded by trenches, electric wire and moats; there are watchtowers at regular intervals.
D. It actually takes in new tracts of Palestinian land, sometimes five or six kilometers at a stretch.
E. Almost a decade after the end of South African apartheid, this ghastly racist wall is going up with scarcely a
peep from Israel‘s American allies who are going to pay for most of it.
1. EBCAD
2. BADCE
3. AEDCB
4. ECADB
40.
A. Luckily the tide of battle moved elsewhere after the American victory at Midway and an Australian victory
over Japan at Milne Bay.
B. It could have been no more than a delaying tactic.
C. The Australian military, knowing the position was hopeless, planned to fall back to the south-east in the hope
of defending the main cities.
D. They had captured most of the Solomon Islands and much of New Guinea, and seemed poised for an invasion.
E. Not many people outside Australia realize how close the Japanese got.
1. EDCBA
2. ECDAB
3. ADCBE
4. CDBAE
41.
A. Call it the third wave sweeping the Indian media.
Page 12
B. Now, they are starring in a new role, as suave dealmakers who are in a hurry to strike alliances and
agreements.
C. Look around and you will find a host of deals that have been inked or are ready to be finalized.
D. Then the media barons wrested back control from their editors, and turned marketing warriors with the brand
as their missile.
E. The first came with those magnificent men in their mahogany chambers who took on the world with their
mighty fountain pens.
1. ACBED
2. CEBDA
3. CAEBD
4. AEDBC
42.
A. The celebrations of economic recovery in Washington may be as premature as that —Mission Accomplished“
banner hung on the USS Abraham Lincoln to hail the end of the Iraq war.
B. Meanwhile, in the real world, the struggles of families and communities continue unabated.
C. Washington responded to the favorable turn in economic news with enthusiasm.
D. The celebrations and high-fives up and down Pennsylvania Avenue are not to be found beyond the Beltway.
E. When the third quarter GDP showed growth of 7.2% and the monthly unemployment rate dipped to 6%,
euphoria gripped the US capital.
1. ACEDB
2. CEDAB
3. ECABD
4. ECBDA
43.
A. To much of the Labour movement, it symbolises the brutality of the upper classes.
B. And to everybody watching, the current mess over foxhunting symbolises the government‘s weakness.
C. To foxhunting‘s supporters, Labour‘s 1991 manifesto commitment to ban it symbolises the party‘s
metropolitan roots and hostility to the countryside.
D. Small issues sometimes have large symbolic power.
E. To those who enjoy thundering across the countryside in red coats after foxes, foxhunting symbolises the
ancient roots of rural lives.
1. DEACB
2. ECDBA
3. CEADB
4. DBAEC
44.
A. In the case of King Merolchazzar‘s courtship of the Princess of the Outer Isles, there occurs a regrettable hitch.
B. She acknowledges the gifts, but no word of a meeting date follows.
C. The monarch, hearing good reports of a neighbouring princess, dispatches messengers with gifts to her court,
beseeching an interview.
D. The princess names a date, and a formal meeting takes place; after that everything buzzes along pretty
smoothly.
E. Royal love affairs in olden days were conducted on the correspondence method.
1. ACBDE
2. ABCDE
3. ECDAB
4. ECBAD
45.
A. Who can trace to its first beginnings the love of Damon for Pythias, of David for Jonathan, of Swan for Edgar?
B. Similarly with men.
C. There is about great friendships between man and man a certain inevitability that can only be compared with
the age-old association of ham and eggs.
D. One simply feels that it is one of the things that must be so.
E. No one can say what was the mutual magnetism that brought the deathless partnership of these wholesome and
palatable foodstuffs about.
1. ACBED
2. CEDBA
3. ACEBD
4. CEABD
46.
A. Events intervened, and in the late 1930s and 1940s, Germany suffered from —over-branding“.
B. The British used to be fascinated by the home of Romanticism.
Page 13
C. But reunification and the federal government‘s move to Berlin have prompted Germany to think again about
its image.
D. The first foreign package holiday was a tour of Germany organized by Thomas Cook in 1855.
E. Since then, Germany has been understandably nervous about promoting itself abroad.
1. ACEBD
2. DECAB
3. BDAEC
4. DBAEC
DIRECTIONS for Questions 47 to 50: Four alternative summaries are given below each text. Choose the option that best
captures the essence of the text.
47. Some decisions will be fairly obvious œ —no-brainers.“ Your bank account is low, but you have a two-week vacation
coming up and you want to get away to some place warm to relax with your family. Will you accept your in-laws‘ offer of
free use of their Florida beachfront condo? Sure. You like your employer and feel ready to move forward in your career.
Will you step in for your boss for three weeks while she attends a professional development course? Of course.
A.
Some decisions are obvious under certain circumstances. You may, for example, readily accept a relative‘s offer
of free holiday accommodation. Or step in for your boss when she is away.
B.
Some decisions are no-brainers. You need not think when making them. Examples are condo offers from in-laws
and job offers from bosses when your bank account is low or boss is away.
C.
Easy decisions are called —no-brainers“ because they do not require any cerebral activity. Examples such as
accepting free holiday accommodation abound in our lives.
D.
Accepting an offer from in-laws when you are short on funds and want a holiday is a no-brainer. Another no-
brainer is taking the boss‘s job when she is away.
1. A
2. B
3. C
4. D
48. Physically, inertia is a feeling that you just can‘t move; mentally, it is a sluggish mind. Even if you try to be sensitive,
if your mind is sluggish, you just don‘t feel anything intensely. You may even see a tragedy enacted in front of your eyes
and not be able to respond meaningfully. You may see one person exploiting another, one group persecuting another, and
not be able to get angry. Your energy is frozen. You are not deliberately refusing to act; you just don‘t have the capacity.
A.
Inertia makes your body and mind sluggish. They become insensitive to tragedies, exploitation, and persecution
because it freezes your energy and decapacitates it.
B.
When you have inertia you don‘t act although you see one person exploiting another or one group persecuting
another. You don‘t get angry because you are incapable.
C.
Inertia is of two types œ physical and mental. Physical inertia restricts bodily movements. Mental inertia prevents
mental response to events enacted in front of your eyes.
D.
Physical inertia stops your body from moving; mental inertia freezes your energy, and stops your mind from
responding meaningfully to events, even tragedies, in front of you.
1. A
2. B
3. C
4. D
49. Try before you buy. We use this memorable saying to urge you to experience the consequences of an alternative
before you choose it, whenever this is feasible. If you are considering buying a van after having always owned sedans, rent
one for a week or borrow a friend‘s. By experiencing the consequences first hand, they become more meaningful. In
addition, you are likely to identify consequences you had not even thought of before. May be you will discover that it is
difficult to park the van in your small parking space at work, but that, on the other hand, your elderly father has a much
easier time getting in and out of it.
A.
If you are planning to buy a van after being used to sedans, borrow a van or rent it and try it before deciding to
buy it. Then you may realize that parking a van is difficult while it is easier for your elderly father to get in and out of it.
B.
Before choosing an alternative, experience its consequences if feasible. If, for example, you want to change from
sedans to a van, try one before buying it. You will discover aspects you may never have thought of.
C.
Always try before you buy anything. You are bound to discover many consequences. One of the consequences of
going in for a van is that it is more difficult to park than sedans at the office car park.
Page 14
D.
We urge you to try products such as vans before buying them. Then you can experience consequences you have
not thought of such as parking problems. But your father may find vans more comfortable than cars.
1. A
2. B
3. C
4. D
50. It is important for shipping companies to be clear about the objectives for maintenance and materials management œ as
to whether the primary focus is on service level improvement or cost minimization. Often when certain systems are set in
place, the cost minimization objective and associated procedure become more important than the flexibility required for
service level improvement. The problem really arises since cost minimization tends to focus on out of pocket costs which
are visible, while the opportunity costs, often greater in value, are lost sight of.
A.
Shipping companies have to either minimize costs or maximize service quality. If they focus on cost
minimization, they will reduce quality. They should focus on service level improvement, or else opportunity costs will be
lost sight of.
B.
Shipping companies should determine the primary focus of their maintenance and materials management. Focus
on cost minimization may reduce visible costs, but ignore greater invisible costs and impair service quality.
C.
Any cost minimization program in shipping is bound to lower the quality of service. Therefore, shipping
companies must be clear about the primary focus of their maintenance and materials management before embarking on
cost minimization.
D.
Shipping companies should focus on quality level improvement rather than cost cutting. Cost cutting will lead to
untold opportunity costs. Companies should have systems in place to make the service level flexible.
1. A
2. B
3. C
4. D
SECTION II
Number of Questions: 50
DIRECTIONS for Questions 51 to 55: Answer the questions independently of each other.
51. The infinite sum
1+
7
4
+
2
7
9
+
3
7
16
+
4
7
25
+ … equals:
1.
14
27
2.
13
21
3.
27
49
4.
147
256
52. Consider the sets
n
T
= {n, n+1, n+2, n+3, n+4}, where n = 1, 2, 3,…., 96. How many of these sets contain 6 or any
integral multiple thereof (i.e., any one of the numbers 6,12,18,…)?
1. 80
2. 81
3. 82
4. 83
53. Let ABCDEF be a regular hexagon. What is the ratio of the area of the triangle ACE to that of the hexagon ABCDEF?
1.
3
1
2.
2
1
3.
3
2
4.
6
5
54. The number of roots common between the two equations
0
5
4
3
2
3
=
+
+
+
x
x
x
and
0
3
7
2
2
3
=
+
+
+
x
x
x
is:
1. 0
2. 1
3. 2
4. 3
55. A real number x satisfying
n
x
n
1
3
1
1
+

<

, for every positive integer n, is best described by:
1.
4
1
<
< x
2.
3
1

< x
3.
4
0

< x
4.
3
1

≤ x
Page 15
DIRECTIONS for Questions 56 to 58: Answer the questions on the basis of the tables given below.
Two binary operations

and * are defined over the set
}
,
,
,,
{
h
g
f
e
a
as per the following tables:

a
e
f
g
h
*
a
e
f
g
h
a
a
e
f
g
h
a
a
a
a
a
a
e
e
f
g
h
a
e
a
e
f
g
h
f
f
g
h
a
e
f
a
f
h
e
g
g
g
h
a
e
f
g
a
g
e
h
f
h
h
a
e
f
g
h
a
h
g
f
e
Thus, according to the first table
a
g
f
=

, while according to the second table
f
h
g
=
*
, and so on. Also, let
f
f
f
*
2
=
,
g*g*g
g
=
3
, and so on.
56. What is the smallest positive integer n such that
e
n
g
=
?
1. 4
2. 5
3. 2
4. 3
57. Upon simplification,
)}]
*
(
{*
[
f
f
f
f
f


equals:
1. e
2. f
3. g
4. h
58. Upon simplification,
10
{
a
*
8
9
10
)}
(
e
g
f


equals:
1. e
2. f
3. g
4. h
DIRECTIONS for Questions 59 and 60: Answer the questions on the basis of the information given below.
A string of three English letters is formed as per the following rules:
a) The first letter is any vowel.
b) The second letter is m, n or p.
c) If the second letter is m then the third letter is any vowel which is different from the first letter.
d) If the second letter is n then the third letter is e or u.
e) If the second letter is p then the third letter is the same as the first letter.
59. How many strings of letters can possibly be formed using the above rules?
1. 40
2. 45
3. 30
4. 35
60. How many strings of letters can possibly be formed using the above rules such that the third letter of the string is e ?
1. 8
2. 9
3. 10
4. 11
DIRECTIONS for Questions 61 to 65: Answer the questions independently of each other.
61. What is the remainder when
96
4
is divided by 6 ?
1. 0
2. 2
3. 3
4. 4
62. If x and y are integers then the equation
64
19
5
=
+ y
x
has:
1. no solution for x < 300 and y < 0
2. no solution for x > 250 and y > -100
3. a solution for 250 < x < 300
4. a solution for -59 < y < -56
Page 16
63. If
5
log
1
log
3
log
3
1
008
.0
3
3
+
=
+
N
M
, then:
1.
N
M
9
9
=
2.
M
N
9
9
=
3.
N
M
3
3
=
4.
M
N
3
9
=
64. Using only 2, 5, 10, 25 and 50 paise coins, what will be the minimum number of coins required to pay exactly 78
paise, 69 paise, and Re. 1.01 to three different persons?
1. 19
2. 20
3. 17
4. 18
65. The length of the circumference of a circle equals the perimeter of a triangle of equal sides, and also the perimeter of a
square. The areas covered by the circle, triangle, and square are c, t, and s, respectively. Then,
1.
c
t
s
>
>
2.
s
t
c
>
>
3.
t
s
c
>
>
4.
t
c
s
>
>
DIRECTIONS for Questions 66 to 68: Answer the questions on the basis of the information given below.
The seven basic symbols in a certain numeral system and their respective values are as follows:
I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, and M = 1000
In general, the symbols in the numeral system are read from left to right, starting with the symbol representing the largest
value; the same symbol cannot occur contiguously more than three times; the value of the numeral is the sum of the values
of the symbols. For example, XXVII = 10+10+5+1+1=27. An exception to the left-to-right reading occurs when a symbol
is followed immediately by a symbol of greater value; then, the smaller value is subtracted from the larger. For example,
XLVI = (50-10)+5+1 = 46.
66. The value of the numeral MDCCLXXXVII is :
1. 1687
2. 1787
3. 1887
4. 1987
67. The value of the numeral MCMXCIX is :
1. 1999
2. 1899
3. 1989
4. 1889
68. Which of the following can represent the numeral for 1995?
a. MCMLXXV
b. MCMXCV
c. MVD
d. MVM
1. only (a) and (b)
2. only © and (d)
3. only (b) and (d)
4. only (d)
DIRECTIONS for Questions 69 to 82: Answer the questions independently of each other.
69. There are 12 towns grouped into four zones with three towns per zone. It is intended to connect the towns with
telephone lines such that every two towns are connected with three direct lines if they belong to the same zone, and with
only one direct line otherwise. How many direct telephone lines are required?
1. 72
2. 90
3. 96
4. 144
70. In the figure (not drawn to scale) given below, P is a point on AB such that AP : PB = 4 : 3. PQ is parallel to AC and
QD is parallel to CP. In ∆ ARC, ∠ ARC = 90°, and in ∆ PQS, ∠ PSQ = 90°. The length of QS is 6 cms. What is ratio
AP : PD ?
A
P
D
B
Q
S
R
C
Page 17
1. 10 : 3
2. 2 : 1
3. 7 : 3
4. 8 : 3
71. A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the
tower is observed from the car and, in the process, it takes 10 minutes for the angle of elevation to change from 45
o
to 60
o
.
After how much more time will this car reach the base of the tower?
1. 5 (√3 + 1 )
2. 6 ( √3 + √2)
3. 7 ( √3 - 1)
4. 8 ( √3 - 2)
72. In the figure (not drawn to scale) given below, if AD = CD = BC, and ∠
BCE = 96°, how much is ∠DBC?
1. 32°
2. 84°
3. 64°
4. Cannot be
determined.
73. If both a and b belong to the set {1, 2, 3, 4}, then the number of equations of the form a x
2
+ b x + 1 = 0 having
real roots is
1. 10
2. 7
3. 6
4. 12
74. If log
10
x - log
10
√x = 2 log
x
10, then a possible value of x is given by :
1. 10
2. 1/100
3. 1/1000
4. None of these
75. What is the sum of all two-digit numbers that give a remainder of 3 when they are divided by 7 ?
1. 666
2. 676
3. 683
4. 777
76. In the figure given below (not drawn to scale), A, B and C are three points on a circle with centre O. The chord BA is
extended to a point T such that CT becomes a tangent to the circle at point C. If ∠ATC = 30° and ∠ ACT = 50°, then
the angle ∠BOA is :
1. 100°
2. 150°
3. 80°
4. not possible to determine
96
0
A
D
B
C
E
B
A
T
C
O
30
0
50
0
Page 18
77. What is the sum of ”n‘ terms in the series: log m + log(m
2
/ n) + log(m
3
/ n
2
) + log ( m
4
/ n
3
) + . . . .
1. log [ n
(n-1)
/ m
(n+1)
]
n/2
2. log [ m
m
/ n
n
]
n/2
3. log [ m
(1-n)
/ n
(1-m)
]
n/2
4. log [ m
(n+1)
/ n
(n-1)
]
n/2
78. Let S
1
be a square of side a. Another square S
2
is formed by joining the mid-points of the sides of S
1
. The same
process is applied to S
2
to form yet another square S
3
, and so on. If A
1
, A
2
, A
3
,…..be the areas and P
1
, P
2
, P
3
,…..be the
perimeters of S
1
, S
2
, S
3
,….. , respectively, then the ratio
...
A
A
A
...
P
P
P
3
2
1
3
2
1
+
+
+
+
+
+
equals:
1. 2 ( 1 + √2 ) / a2. 2 ( 2 - √2) / a 3. 2 ( 2 + √2 ) / a
4. 2 ( 1 + 2 √2 ) / a
79. If three positive real numbers x, y, z satisfy y œ x = z œ y and x y z = 4, then what is the minimum possible value of y ?
1. 2
1/3
2. 2
2/3
3. 2
1/4
4. 2
3/4
80. An intelligence agency forms a code of two distinct digits selected from 0,1,2,……,9 such that the first digit of the
code is nonzero. The code, handwritten on a slip, can however potentially create confusion when read upside down – for
example, the code 91 may appear as 16. How many codes are there for which no such confusion can arise?
1. 80
2. 78
3. 71
4. 69
81. Consider two different cloth-cutting processes. In the first one, n circular cloth pieces are cut from a square cloth piece
of side a in the following steps: the original square of side a is divided into n smaller squares, not necessarily of the same
size; then a circle of maximum possible area is cut from each of the smaller squares. In the second process, only one circle
of maximum possible area is cut from the square of side a and the process ends there. The cloth pieces remaining after
cutting the circles are scrapped in both the processes. The ratio of the total area of scrap cloth generated in the former to
that in the latter is:
1. 1:1
2.
2
: 1
3.
n-
)
n(
4
4

4.
( )
-
n
n
4
4

82. In the figure below (not drawn to scale), rectangle ABCD is inscribed in the circle with center at O. The length of side
AB is greater than that of side BC. The ratio of the area of the circle to the area of the rectangle ABCD is :
3
. The
line segment DE intersects AB at E such that ∠ ODC = ∠ ADE. What is the ratio AE: AD?
1. 1 :
3
2. 1 :
2
3. 1 : 2
3
4. 1 : 2
DIRECTIONS for Questions 83 to 85: Answer the questions on the basis of the information given below.
Consider three circular parks of equal size with centers at A
1
, A
2
, and A
3
respectively. The parks touch each other at the
edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A
1
A
2
A
3
, B
1
B
2
B
3
, and
O
A
E
B
C
D
Page 19
C
1
C
2
C
3
, as shown. Three sprinters A, B, and C begin running from points A
1
, B
1
, and C
1
respectively. Each sprinter
traverses her respective triangular path clockwise and returns to her starting point.
83. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c,
respectively. Which of the following is true?
1. b œ a = c œ b = 3
3
r
2. b œ a = c œ b =
3
r
3. b =
2
c
a +
= 2 (1+
3
) r
4. c = 2b œ a = (2+
3
) r
84. Sprinter A traverses distances A
1
A
2
, A
2
A
3
, and A
3
A
1
at average speeds of 20, 30, and 15, respectively. B traverses her
entire path at a uniform speed of (10
3
+ 20). C traverses distances C
1
C
2
, C
2
C
3
, and C
3
C
1
at average speeds of
3
40
(
3
+ 1),
3
40
(
3
+ 1), and 120, respectively. All speeds are in the same unit. Where would B and C be respectively
when A finishes her sprint?
1. B
1
, C
1
2. B
3
, C
3
3. B
1
, C
3
4. B
1
, Somewhere between C
3
and C
1
85. Sprinters A, B and C traverse their respective paths at uniform speeds of u, v and w respectively. It is known that
u
2
:v
2
:w
2
is equal to Area A: Area B: Area C, where Area A, Area B and Area C are the areas of triangles A
1
A
2
A
3
, B
1
B
2
B
3
,
and C
1
C
2
C
3
, respectively. Where would A and C be when B reaches point B
3
?
1. A
2
, C
3
2. A
3
, C
3
3. A
3
, C
2
4. Somewhere between A
2
and A
3
, Somewhere between C
3
and C
1
.
DIRECTIONS for Questions 86 to 88: Answer the questions on the basis of the information given below.
Consider a cylinder of height h cms and radius r =
2
cms as shown in the figure (not drawn to scale). A string of a
certain length, when wound on its cylindrical surface, starting at point A and ending at point B, gives a maximum of n
turns (in other words, the string‘s length is the minimum length required to wind n turns).
C
1
C
2
C
3
B
1
B
2
B
3
A
1
A
2
A
3
Page 20
86. What is the vertical spacing in cms between two consecutive turns?
1. h / n
2. h /
n
3. h / n
2
4. Cannot be determined with given information.
87. The same string, when wound on the exterior four walls of a cube of side n cms, starting at point C and ending at point
D, can give exactly one turn (see figure, not drawn to scale). The length of the string, in cms, is
1.
2
n
2.
17
n
3. n
4.
13
n
88. In the setup of the previous two questions, how is h related to n ?
1. h =
2
n
2. h =
17
n
3. h = n
4. h =
13
n
DIRECTIONS for Questions 89 to 100: Answer the questions independently of each other.
89. Let x and y be positive integers such that x is prime and y is composite. Then,
1. y œ x cannot be an even integer.
2. xy cannot be an even integer.
3. (x+y)/x cannot be an even integer.
4. None of the above statements is true.
90. A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular
options œ air conditioning, radio and power windows œ were already installed. The survey found:
15 had air conditioning
2 had air conditioning and power windows but no radios
12 had radio
6 had air conditioning and radio but no power windows
11 had power windows
4 had radio and power windows
3 had all three options.
What is the number of cars that had none of the options ?
1. 4
2. 3
3. 1
4. 2
1
2
3
n
.
.
.
A
B
D
C
Page 21
91. If n is such that 36 ≤ n ≤ 72, then x =
4
4
16
4)
(
2
2
+
+
+
+
+
n
n
n
n
n
satisfies:
1. 20 < x < 54
2. 23 < x < 58
3. 25 < x < 64
4. 28 < x < 60
92. If 13x + 1 < 2z, and z + 3 = 5y
2
, then:
1. x is necessarily less than y.
2. x is necessarily greater than y.
3. x is necessarily equal to y.
4. None of the above is necessarily true.
93. Let n (>1) be a composite integer such that

n is not an integer. Consider the following statements:
A: n has a perfect integer-valued divisor which is greater than 1 and less than

n
B: n has a perfect integer-valued divisor which is greater than

n but less than n
Then,
1. Both A and B are false.
2. A is true but B is false.
3. A is false but B is true.
4. Both A and B are true.
94. If |b| ≥1 and x = - |a| b, then which one of the following is necessarily true?
1.
0
<
− xb
a
2.
0

− xb
a
3.
0
>

Sponsored Links

0 comments:

Post a Comment

Please Press Like Button below and Enter Email Address

Enter your email address: