Flt 1402 Solutions

Roots Education FLT1402 1

SECTION I 1. Karunesh is a courier boy with DTDC. One day he starts from his office at Aadarsh Nagar with a number

of packets to be delivered at different places. In the first locality Basantlok that he visits, he delivers half

the number of packets he was carrying and picks up 6 new packets. At the next stop Chandni Chowk, he

delivers one-third of the number of packets he had then and picks up 12 new ones. At the last stop Delhi

Cantonment, he parts with every packet he had then, which was the same number that he had started with

from Aadarsh Nagar. How many packets had he when he left Basantlok?

A] 42 B] 24

C] 18 D] 28

2. A regular size brick weighs 8 kilograms. How much will a similar prototype brick, made of the same

material but all the dimensions of which are 75% smaller than the corresponding dimensions of the

regular brick, weigh?

A] 2 kg B] 0.5 kg

C] 0.125 kg D] 0.0625 kg

3. One company pays dividends at the rate of 11% on shares of face value Rs.100 each; another company

pays at the rate of 7% on shares of face value Rs.10 each. If the price of the former is Rs.115.50 and that

of the latter is Rs.7.75, then compare the returns on investment which the shares return to a purchaser.

A] 155 : 147 B] 952 : 903

C] 98 : 99 D] 65 : 58

4. In the following figure, points A, B, C and D lie on the circumference of a circle. DAB = 60˚ and

ABC = 80˚. What is the measure of BQC?

A] 40˚

B] 20˚

C] 60˚

D] 80˚

5. Raman and Chaman are two naughty children who are at opposite ends of a road at points A and B

respectively. Raman and Chaman take 8 and 10 seconds respectively to cross the road. If Raman is at A

and Chaman is at B and they start simultaneously, after how long will Raman be at B and Chaman be at A

simultaneously? Assume that they keep crossing the road continuously without any break.

A] 80 seconds B] 60 seconds

C] 120 seconds D] Never simultaneously

6. A piece of cardboard is in the shape of a trapezium ABCD such that AB || DC and BCD = 90˚. Also,

side BC is shorter than CD. A quarter circle with C as its centre and CB = CE as radius (where E lies on

CD) is removed from ABCD. Given that AB = BC = 3.5cm and DE = 2cm, calculate the area of the

remaining cardboard. (Take = 22/7)

A] 3.325 cm2 B] 6.125 cm

2

C] 3.125 cm2 D] 12.25 cm

2

7. Antardhwani is an Inter College Football competition in which several teams participate. The format of it

is such that in the first round each team plays one game with every other team. The top one-third of the

participating teams (assume no ties) progress to the second stage where they again play one match against

each other. The top two teams then meet to decide the champion while the other two play for the third

position. How many teams take part in the competition, if 74 games are played in the competition?

A] 9 B] 12

C] 21 D] Not possible

A B

DC

QA B

DC

Q


8. A toy is in the shape of a right circular cylinder, in the middle, with a hemisphere on one end and a cone

on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of

the hemispherical and conical parts are the same as that of the cylindrical part. What is the surface area of

the toy if the height of conical part is 12 cm?

A] 1440 cm2 B] 385 cm

2

C] 1580 cm2 D] 770 cm

2

9. If ABC is a quarter circle with unit radius with a circle inscribed in it, what is the radius of smaller circle?

A] 1

2 1 B]

2 1

2

C] 1

22

D] 2 1

2

10. An article is made up of four components A, B, C and D. The costs of manufacturing of the four

components are in the ratio of 5 : 3 : 4 : 8 respectively. If manufacturing cost of A increases by 20%, that

of B decreases by 20%, of C decreases by 20% and of D increases by 20%, what would be the percentage

change in the manufacturing cost of the article? Assume manufacturing cost of the article = sum of

manufacturing costs of the 4 components.

A] 8 B] 12

C] 6 D] 1.2

11. Sunny borrows a sum of Rs.1200 at the beginning of a year. After 4 months, Rs.1800 more is borrowed at

a rate of interest, double the previous one. At the end of the year, the difference between the simple

interests paid on second and first loans is Rs.72. What is the rate of interest per month on the first loan?

A] 9 % B] 6 %

C] 8 % D] 1/2 %

12. ABCDEF, a regular hexagon has circles of identical radii r with different vertices of the hexagon as

centres. The circles only touch but do not overlap each other. What is area of circles lying outside

ABCDEF?

A] r2 B] 4r

2

C] 5r2/4 D] 3r

2/2

13. Out of 40 consecutive positive integers, 2 are chosen at random. The probability that their sum is odd is:

A] 1

2 B]

20

39

C] 19

39 D]

21

40

14. If x, y, z are in GP, the reciprocals of (1 + log10 x), (1 + log10 y) and (1 + log10 z) respectively will be in

A] AP B] GP

C] HP D] None of these


15. Ramesh and Suresh are playing a game wherein they ask each other a mathematical question. Ramesh

begins the game by asking Suresh the following question. The denominator of a fraction is smaller than

the square of the numerator by unity. If you add 2 to the numerator and the denominator, the fraction will

exceed 1/3 but if we subtract 3 from the numerator and the denominator, the fraction will be positive and

smaller than 1/10. Which of the following was the correct answer given by Suresh?

A] 3/8 B] 4/15

C] 5/24 D] 6/35

16. A cylinder just circumscribes a hemisphere and a right circular cone lies inside the cylinder so that all the

three have a common base. The vertex of the cone lies on the axis of the cylinder and its distance from the

base is half the shortest distance from the center of the base to the center of the top of the cylinder. The

volumes of the cylinder, hemisphere and cone are respectively in the ratio of

A] 3 : 2 : 1 B] 2 : 3 : 1

C] 1 : 2 : 3 D] None of these

17. Ashutosh is working with a piece of wood in the workshop class of his first year in an engineering college.

The piece is in the shape of a cuboid with dimensions 10 cm x 5 cm x 5 cm. Ashutosh cuts the piece

exactly midway along its longest dimension, parallel to one of the surfaces of the cuboid. The two

resulting solids are painted on all the surfaces. What is the cost of painting at the rate of Rs.6/cm2?

A] Rs.900 B] Rs.350

C] Rs.2100 D] Rs.1800

18. The sum of the digits of a three-digit number is 12. It is also known that on subtracting (103/2 – 5) from a

number consisting of the same digits as the original number but written in the reverse order, we shall get

the original number. What is reverse of the three-digit original number if the sum of all pair-wise products

of the digits constituting that number is 41?

A] 156 B] 732

C] 197 D] None of these

19. Saurabh buys a plate for Rs.15. Had he bought it for 4% less and sold it for 60 paise more than his present

selling price, he would have gained 75/4 %. At what percentage profit is he presently selling?

A] 9% B] 5%

C] 15% D] 10%


Directions for questions 20 to 23: Study the graph given below and answer the questions that follow.

The following graph gives a City-Wise Break up of circulation (sales) of some leading Hindi Dailies of a state.

20. Nearly what percent of the total circulation in the given cities does the Dainik Jagran account for?

A] 80% B] 60% C] 70% D] 50%

21. The ratio of the total circulation of Aj to that of Rashtriya Sahara in all the given cities is approximately:

A] 1 : 3 B] 1 : 2 C] 1 : 4 D] 2 : 5

22. The overall circulation figures for Agra exceed the overall circulation for Meerut by nearly

A] 40% B] 55% C] 70% D] 120%

23. If you were to advertise a product in any two newspapers in two different cities, which of the following

will form a part of your advertising campaign assuming that you aim to maximize the number of people

you can reach out to? You may assume that for a circulation less than 30,000 within a city each

newspaper reaches 1.2 people on an average but for a newspaper with circulation greater than or equal to

30,000 in a city, the overall average readership per newspaper is 0.8.

I. Dainik Jagran in Kanpur

II. Rashtriya Sahara in Jhansi

III. Amar Ujala in Agra

IV. Rashtriya Sahara in Lucknow

A] I and II B] I and III C] II and III D] I and IV

Citywise Circulation

89523

33090

32155

7820

19377

15500

2212

1520

33725

13989

1000

9004994

15620

1166

4994

29234

2914

332

7913

21301

0

10000

20000

30000

40000

50000

60000

70000

80000

90000

100000

Kanpur Lucknow Varanasi Agra Meerut Allahabad Jhansi

Dainik Jagran Amar Ujala Aj Rashtriya Shara


Directions for questions 24 to 26: Refer to the following graph and answer the questions that follow.

Nice Shoes Limited produces Leather shoes, Sports shoes and Floaters at its 6 production centers. The following

graph shows the monthly production capacities for its various centers.

24. The ratio of combined capacities for production of Leather shoes to production of Sports shoes is nearly

A] 9 : 11 B] 3 : 6.83

C] 7 : 9 D] 15: 17

25. Standard unit price of one pair of Leather shoes is Rs.500, that of Sports shoes is Rs.2000 and for Floaters

it is Rs.200. If the selling prices at C are 10% higher than the respective standard unit prices, and at H

they are 10% cheaper than the respective standard unit prices, then what is the approximate difference in

total sales (Rs.) between C and H? (Assume, sales quantity = monthly Production Capacity).

A] Rs.10000 B] Rs.10 lakh

C] Rs.100000 D] Rs.100 lakhs

26. If the production of Leather shoes, Sports shoes and Floaters is 75%, 50% and 80% of the capacity

respectively, then what is the combined percent-unutilised capacity at M?

A] 23% B] 15%

C] 33% D] 28%

Footwear Production for Nice Shoes Ltd.

0

25

50

75

100

125

150

175

200

225

C M K L D H

Production Center

Num

ber

of

pair

s ('000s)

Floaters

Sports Shoes

Leather Shoes


Directions for questions 27 to 30: Refer to the following information and charts and answer the questions.

Traditionally the 2-wheeler market in India has consisted of Scooters and Motorcycles. The last few years have

seen the emergence of Gearless scooters and Mopeds (collectively referred to as Scooties) and they now enjoy

15% of the volume share of the 2-wheeler market. The current volume share of the 2-wheeler market for Scooters

is at an all time low of 28.5%, while the rest of the market is occupied by Motorcycles. The total size of the 2-

wheeler market is 7 million units and the total Rupee sales of Scooters stands at Rs.4900 crores. The brand-wise

volume and rupee sales for Scooters is shown in the following pie charts. It is known that the same brands make

up the market in all three types of 2-wheelers.

27. The unit price is highest for which of the brands of 2-wheelers?

A] B B] F

C] D D] Indeterminate

28. If the average price of Scooties is the same as that of the Scooters of brand E, then the total Rupee market

of Scooties currently stands at nearly

A] 490 crores B] 1285 crores

C] 1850 crores D] 750 crores

29. The unit price for brand B scooters exceeds the unit price for brand A scooters by approximately

A] 9% B] 55%

C] 170% D] 250%

30. If 4-strokes Motorcycles are 15% of the volume sales of the Motorcycle segment, then nearly what angle

would the 4-stroke Motorcycle segment subtend at the centre of a pie chart showing the volume wise

distribution of 2-wheelers?

A] 30.50 B] 16.4

0

C] 28.40 D] 34.3

0

Rupee Sales

A

20%

B

20%

C

23%

D

8%

E

10%

F

19%

Volume Sales

A

33%

B

10%C

17%

D

13%

E

20%

F

7%


SECTION II

Directions for questions 31 to 38: Answer the questions that follow the passage on the basis of the information

contained in the passage.

Passage

It is practically axiomatic for Catholic social doctrine that there are common goods which are irreducibly social,

and which are not “public” merely by virtue of being utilities for private consumption. David Hollenbach, S.J.,

who assisted the American bishops in drafting their 1986 pastoral letter Economic Justice for All, was chagrined

to discover that “a central concept being advanced by the bishops’ letter—the common good—was nearly

incomprehensible to most of the people the bishops sought to address.” In his new book, The Common Good and

Christian Ethics, he wants to convince the reader not only that the common good is intelligible, but also that a

politics of the common good is achievable for a pluralistic, commercial republic that values the utility of

temporary partnerships and toleration of cultural and religious differences.

Late in the book, Hollenbach reminds the reader that the notion of a “common good” is analogical, comprising

quite different kinds of community. Even so, he almost always speaks of the common good. Common goods,

Hollenbach argues, are shareable, communicable, and “non-rivalrous in consumption”—”goods we must share in

common if we are to have them at all.” Moreover, common goods are not “extrinsic or external to the

relationships that exist among those who form the community or society in question.” Hollenbach clearly and

usefully distinguishes the common good from a good that has only the unity of an aggregate (“general welfare”),

as well as from goods that are deemed “public” only insofar as they bear upon the well-being and rights of

individuals (“public interest”). Common goods, as he conceives them, always are rooted in the sociality of

society: “A key aspect of the common good can be described as the good of being in a community at all.”

A criticism often made against the left is that “social justice” is a pretext for redistribution of property. For

Hollenbach, social justice is not chiefly an exercise of distributing things or utilities, but rather of expanding

participation in inherently valuable social activities. This is very close to the classic definition of social justice

sketched by Pius XI in Quadragesimo Anno. Hollenbach does not ask whether there are merely private goods, and

in what sense they are private. I was surprised that he did not dig more deeply into Catholic social doctrine for the

idea of a “universal destination of all goods”—an idea that is controversial, but favourable to his own line of

thought.

One of Hollenbach’s purposes is to show the limited applicability of toleration. A modern liberal polity, he

concedes, is rightly wary of the kind of consensus and solidarity that marked the old regimes. Yet historical

contingencies are not “eternal truths.” Hollenbach argues that a liberal polity is capable of more than a quiet

enjoyment of private goods supplemented by toleration of the lifestyles and religions of others. Toleration

presupposes the good of a social order that allows persons to live their lives without undue disturbance.

Furthermore, toleration is not apt to capture how we think about some social goods. We don’t tolerate exclusion

of citizens from those activities most distinctive of citizenship, such as free and equal deliberation about how we

should live our lives together. In his view, we ought not to tolerate de facto impediments to participation in the

common good. His survey of the plight of the urban poor takes this route. The problem of the urban poor cannot

be remedied simply by racial toleration, nor even by recirculating monies and utilities. Hollenbach proposes that

what is needed is solidarity, shared social forms and life among citizens in the inner city and the white, suburban

enclaves. Merely external interdependencies are not enough to constitute a common good.

At a certain level of generality, this is not an implausible position. Hollenbach promises to keep theoretical

considerations “close to the ground on which social interaction unfolds today.” I should note, however, that I was

disappointed that he does not grapple with a really tough case like affirmative action. Smart and nuanced


arguments for affirmative action are based not on diversity but on solidarity. Hollenbach reproaches the tolerant,

liberal society for underestimating the practical possibilities of solidarity.

Hollenbach also glides over the most sorely contested issues of social morality. Noting that he has no intention of

sorting through all of the controversies about natural law, Hollenbach writes: “I presuppose that ‘natural’ means

‘reasonable’ in the light of careful reflection on the full range of human experience. Thus what is affirmed as

natural must ‘make sense’ in the light of critically appropriated experience.” It is pointless to quarrel with an

author’s definition, especially one that contains words like “careful” and “critical.” But whether there are moral

norms distinct from prudence is an important question. What is nonnegotiable, except for free, equal, and

mutually respectful dialogue? Do any of the inherently valuable social forms, such as marriage and family, have

fixed boundaries that are not amenable to revisions ensuing from mutual deliberation and “critically appropriated

experience”? Even non-governmental societies like churches are treated primarily as training grounds for

common goods that are described in terms of equality and respect. I could find little ontological density in

Hollenbach’s discussion of the sociality of society or societies.

Anyone who picks up this book for the sake of its title will be disappointed. For Hollenbach doesn’t have much to

say about Christian ethics. He is mainly interested in establishing 1) that religious societies are not necessarily a

threat to a political common good—indeed, that they are training grounds for it—and 2) that a religious tradition

like Catholicism has positive resources motivating its congregants to act for a common good. It is hard to imagine

that anyone but the most hard-core secularist would find these points disputable. Some readers will be annoyed

that every example provided of “good” or “safe” religion is on the left of the political-cultural spectrum; unsafe

religion, of course, is “fundamentalist,” defined as “reaction to the presence of others with different ultimate

convictions.” The Moral Majority and the guitar-strumming Communione e Liberazione will be surprised to find

themselves grouped with Hamas and Hezbollah. The author evinces not the slightest irony about the fact that his

own list would qualify, given his definition, as an exercise in fundamentalism.

The discussion of the Christian contribution to the political common good and social justice is so flat and un-

nuanced that one is not sure if it represents the author’s own theology, or whether he didn’t think it necessary to

present Christian social thought with any specificity. Protestant social ethics makes hardly a cameo appearance.

When he treats the Catholic tradition, elementary distinctions are often missing. I was also puzzled by

Hollenbach’s insistence that the Christian vision of the human good is “particularistic” rather than “universal.”

Admitting different ways we could conceive of Christianity as a part of some other whole, it doesn’t seem quite

right to suggest that it is particularist in the sense of ethnicity, language, custom, or culture. Hollenbach seems

more interested in showing that Christians are safe participants in the public square than he is in exploring what

they might bring to the notion of solidarity, even as it pertains to the terrestrial city.

31. The tone used by the writer of the passage can best be described as

A] one objectively assessing the author’s book from a neutral ground.

B] as being supportive of the author’s stance on most of the major issues while expressing certain

reservations about a few peripheral issues.

C] that of vehement emotional opposition to author’s viewpoints on a wide variety of issues.

D] one that is clearly in disagreement with the author on several accounts while accepting a few

good things about the work.

32. The central theme of Hollenbach’s book, according to the author of the passage, is

A] to establish that there is more to common good than only external interdependencies.

B] one that supports a Republican government that is not unaware of the modern realities.

C] to establish that common good is intelligible.

D] None of these


33. Which of the following is a key aspect of the concept of the common good according to Hollenbach?

A] Common good is public.

B] Common good is based on social morality.

C] It is the good of being in a community in the first place.

D] Toleration of other religions and cultures is intrinsic and fundamental to the concept of common

good.

34. The phrase “critically appropriated experience” is closest in meaning to which of the following?

A] Experience that has been unnecessarily criticized

B] Experience from which one can learn after careful analysis

C] Experience that has been tempered with criticism

D] Experience that is critical to the future objectives

35. The writer of the passage expresses satisfaction/agreement with Hollenbach on which of the following

issues?

A] Hollenbach’s classification of Christian vision as being “particularistic”

B] Hollenbach’s differentiation of “safe” and “unsafe” religion

C] Hollenbach’s distinguishing common good from general welfare

D] Hollenbach’s dealing with the important issues of social morality

36. The author’s disappointment regarding Hollenbach’s definition of ‘natural’ stems from the fact that

A] even what has formed from a socially valuable concept in the past can be re(de)fined through

mutual deliberation.

B] it is too subjective, using words such as critical and careful.

C] Hollenbach has not kept theoretical considerations close to reality.

D] All of the above

37. According to the passage, the title of the book being reviewed can best be described as

A] incoherent. B] parsimonious.

C] inappropriate. D] bizarre.

38. The author of the passage feels that

A] Hollenbach has missed out on the elementary distinctions in the context of catholic traditions.

B] Hollenbach is right in his criticism of the tolerant, liberal society for not realizing the practical

possibility of solidarity.

C] Hollenbach has incorrectly insisted on Christianity being a “collective” vision rather than an

“individual” one.

D] None of these

Directions for questions 39 to 41: There are two gaps in each of the following sentences. From the pairs of

words given, choose the one that fills the corresponding gaps (i.e. first word in first gap) most appropriately.

39. The grown-ups, those who are shrewd in worldly ______, have built secure ______ against being

encountered by Christ, and they will not let him become their contemporary.

A] vices, walls B] ways, gaps

C] wisdom, defenses D] divisions, boundaries

40. His influence on contemporary Christian thought is ______, and aspects of his “existentialism” play a

role in that multi-faceted ______ called postmodernism.

A] considerable, phenomenon B] laughable, comedy


C] noteworthy, book D] absent, persona

41. Dramatic breakthroughs on the ______ of science provide new powers to humans, but they also pose

______ moral quandaries.

A] boundaries, interesting B] frontiers, perplexing

C] outskirts, confounding D] verge, simple

Directions for questions 42 and 43: Each of the following questions has an underlined part and is followed by

4 possible choices for replacing the underlined part. Choose the best alternative, which conforms most closely

to Standard English usage.

42. Growing player pressures may be encouraging the cricket board to bend the rules in favour of the players;

board may, for instance, allow questionable untaxed prize money to remain with the players.

A] players; the board may, for instance, allow

B] players, as an instance, to allow

C] players, like to allow

D] players, such as to be allowing

43. A research conducted by the Agriculture Department showed that if calves exercise and associated with

other calves, they will require less medication and gain weight quicker than do those raised in

confinement.

A] associated with other calves, they will require less medication and gain weight quicker than do

B] associated with other calves, they require less medication and gain weight quicker than

C] associate with other calves, they required less medication and will gain weight more quickly than

do

D] associate with other calves, they require less medication and gain weight more quickly than


Directions for questions 44 and 45: Five sentences following sentence 1 are given in each question. Choose the

most logical order of sentences as represented by the alphabets from A to E, to construct a coherent paragraph

with sentence 1 as the starting sentence.

44. 1. Kierkegaard’s writings were gaining currency in the English-speaking world about the same time

as the appearance of Catcher in the Rye and other “demythologizings” of all things conventional.

A. For many readers, especially younger readers, the encounter with Kierkegaard was part of a

cultural moment marked by the beginnings of disillusionment with the American Way of Life that

was so triumphantly celebrated after the Second World War.

B. The arguments of these books were dramatically different and often contradictory, but they had in

common what was taken to be a relentless hostility to The Establishment.

C. Marcuse on one-dimensional man, Charles Reich on the greening of America, C. Wright Mills on

the power elite, Malcolm X on revolutionary violence, Jean-Paul Sartre on the nausea of

society—and, among those and many others, Kierkegaard on authentic existence.

D. Those beginnings would build into what was later dubbed the youth culture or the counterculture,

which we loosely associate with “the ‘60s,” a curious mix of social, sexual, political, and

religious liberationisms that made, as it was said, their long march through the institutions and

still shape and misshape the way we think and the way we live today.

E. Many Americans now reaching retirement age nostalgically recall, and maybe could still find

somewhere around the house, the paperbacks that were the vade mecums of that time.

A] ADECB B] AEDCB C] DBACE D] BEDCA

45. 1. Having been born in Korea, and raised in Argentina, I have a unique perspective of a very uneven

income-distribution system.

A. As general manager of a non-profit real estate company, I’ve worked with a range of different

people from board members to suppliers, architects, lawyers and construction workers.

B. I have witnessed many people living below the poverty line.

C. Success, I’ve learned, comes from being able to focus people’s various capabilities around a

common goal.

D. This multi-national experience fuelled my desire to become a leader in the non-profit sector.

E. Having worked with people from such diverse backgrounds and possessing diverse skills, I have

come to realize how important they are to the success of any organization or community.

A] BDAEC B] AEDCB C] ABDEC D] DAEBC

Directions for questions 46 to 50: Identify the incorrect sentence/sentences. Ignore punctuation errors.

46. I. He made the decision with an eye to the future.

II. Once he started playing more on the backfoot, Sehwag’s record has improved significantly.

III. There is something fishy about the manner in which the deal has been finalized.

IV. Ratul’s remarks were completely misdirecting.

A] I and III B] II only C] I, II and IV D] II and IV

47. I. The parliament will ratify the bill in the upcoming monsoon session.

II. The captain and the coach handshaked warmly.

III. The trial was held in full media glare.

IV. The state assembly polls in Bihar passed away without any untoward incident.

A] I and II only B] II, III and IV C] I and IV only D] II and III only


48. I. The committee was scrutinizing his role in the merger.

II. Gaurav and me were the last ones to leave the field.

III. He complemented me for my performance in the last race.

IV. Tradition and science have always been going hand-in-hand.

A] I and IV B] IV only C] II and IV D] II, III and IV

49. I. Sports builds character.

II. His feat has ensured him of a place among the all-time greats of the game.

III. It is time they gave way for the younger generation of leaders.

IV. Ramesh tricked me into making this foolish investment.

A] I and IV only B] I and III C] III only D] I, II and III

50. I. The simultaneous occurrence of two such events can only be a coincidence.

II. As far as I concern, the constitution is a joke.

III. Despite the heat he carried on from where he had left yesterday.

IV. The altercation took place due to the heat of the moment.

A] II and IV B] IV only C] I and II D] I, III and IV

Directions for questions 51 & 52: Answer the following questions independently of each other.

51. Mr. A, Miss B, Mr. C and Miss D are sitting around a table and discussing their professions, each one

having a different one. Mr. A sits opposite to the cook. Miss B sits right next to the Hair Dresser. The

washer-man is on the immediate left of the tailor. Miss D sits opposite Mr. C.

What are the professions of A and B respectively?

A] Washer man and Cook B] Tailor and Cook

C] Hair Dresser and Cook D] Indeterminate

52. A certain bacteria grow at a rapid rate. A sample slide has one bacterium at the beginning and the growth

is such that each day the area of the slide covered by the bacteria is double of what it was the previous day.

The slide is entirely covered with the bacteria at the end of the 20th day. How long would it take thirty-

two such bacteria of the same size (as in the earlier case) at the outset and at the same rate of growth to

completely cover the same sample slide?

A] 10 days B] 5 days

C] 15 days D] 19 days

Directions for questions 53 and 54: Study the figure given below and answer the questions that follow.

The figure below represents the ring shaped road network of a city which has an inner and an outer ring road

(centred around O and circular in shape) in addition to the straight road portions KX, XO, OY, YL, QP and PO.

The following short forms have been used for the various stations/ stoppages.

K –IITD, Q – Munirka, P – Bikajigama, O – Chankya, Y – Ashoka, X – RK Puram and L – India Gate. The

distance from Bikajigama to Ashoka along the inner ring road is 18 units.

8 12 O

P

Q

X L K

Y


53. If a bus starts at IITD and terminates at India Gate, and it must pass through Munirka and Bikajigama,

then the longest of the following routes, with no stoppage being covered more than once, is

A] KYPOYL B] KXPQL

C] KXOPQL D] KQPYL

54. If during peak hours, the straight-line journey on any portion between Ashoka and RK Puram is

prohibited, then the length of the shortest route between IITD and India Gate is nearly (distance units)

A] 33 B] 28

C] 56 D] 39

Directions for questions 55 and 56: Study the following information and answer the questions.

At the alumni meet of the St. Michael College, a game is played as follows. A team of 3 players together takes

seven chances to shoot at seven objects named as per the alphabets from A to G. Each object can be shot at only

once. Parthiv, Laxman and Rahul play the game under the following stipulations.

a) An object with a name appearing later in the English alphabets will not be shot down before an

alphabet appearing before it.

b) Laxman cannot shoot at objects with names appearing at even places in the alphabets, (starting

with A as even, B as odd and so on) but Parthiv and Rahul can shoot at any of the objects.

c) Rahul takes exactly one shot.

d) Parthiv cannot take three consecutive shots.

e) Both Parthiv and Laxman must shoot at no fewer than two objects each.

55. If Parthiv and Laxman each hit atleast half the number of the objects they shoot at, then the number of

hits that the team can make in a game must exceed

A] 3 B] 2

C] 4 D] 1

56. If all team members finish taking their respective minimum number of shots before any of them takes an

additional shot, then the object that is shot at first when the first member takes an additional shot is

A] E B] G

C] F D] Indeterminate

Directions for questions 57 and 58: Refer the following information and answer the questions.

There are eight students (Harish, Girish, Gita, Rita, Manish, Shirish, Sita and Sanjay), coming from four cities (A,

B, C and D). They appeared for five subjects (English, History, Maths, Geography and Science) in an

examination. Harish and Sita passed in English and Science both. Sanjay and Shirish failed in History and

Geography both. Harish and Sita are from City ‘A’. Only one student out of the 2 from city ‘A’ failed in History.

Two students from city ‘C’ failed only in History, Geography and Maths. Gita from city ‘B’ failed only in Science.

Shirish from city ‘D’ passed in exactly three subjects. Only two students failed in English while Girish passed in

only two subjects. Rita and Sanjay failed in Science while Rita also failed in Geography. Students from City ‘A’

passed in Geography and Maths both. Rita failed in only 3 subjects. Only one student each passed and failed in all

the subjects.

57. The maximum number of students who could have passed in exactly 4 subjects is

A] 4 B] 3

C] 2 D] 1

58. Who among the following failed in all the subjects?

A] Gita B] Girish


C] Sanjay D] None of these

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

Atreya, Rohtagi, and Chari went bird watching. Each of them saw one bird that none of the others did. Each pair

saw one bird that the third did not. And one bird was seen by all three. Of the birds Atreya saw, two were yellow.

Of the birds Rohtagi saw, three were yellow. Of the birds Chari saw, four were yellow.

59. How many yellow birds were seen in all?

A] 2 B] 3

C] 5 D] 7

60. How many non-yellow birds were seen in all?

A] 2 B] 5

C] 3 D] None of these


FLT1402 Solutions SECTION I

1. [C] Suppose he starts with x packets from A.

No. of packets with him when he leaves B

= (x/2) + 6; No. of packets when he leaves

C = (2/3) (x/2 + 6) + 12

(2/3) (x/2 + 6) + 12 = x x = 24

Packets after B = (x/2) + 6 = 18

2. [C] Weight of regular brick = ( ) k l b h

where k is the weight per unit volume.

Weight of prototype brick = ( )4 4 4

l b hk

Required ratio = 8

0.1254 4 4

kg

3. [A]

11100

155100 115 507 147

10100 7 75

x

.x

.

where x is the investment made.

4. [B] Since ABCD is a cyclic quadrilateral,

ADC = 180 – ABC = 180 – 80 = 100˚

In ∆ ADQ, Q = 180 – DAB –

ADC

Q = 180 – 60 – 100 = 20˚

5. [D] Raman will be at B at 8, 24, 40, 56 .. i.e. at

8 + 16n seconds where n is a natural

number. Chaman will be at A at 10, 30, 50,

70.. i.e. at 10 + 20m seconds where m is a

natural number.

Raman and Chaman will be at B and A

simultaneously when 8 + 16n = 10 + 20m

i.e. 10 1 11 21 31i.e. after , , ,....

8 8 8 8

mn

,

which is never an integer.

6. [B]

Area = 21 1 22

3 5 5 5 3 5 3 52 4 7

. . . .

= 6.125 square cm

7. [B] It is given in the question that the top two

teams play for the championship while the

other two play for the third position which

means that 4 teams reach the second round.

Hence, total number of teams = 3 x 4 = 12

You can verify that the number of matches

= 12

C2 + 4C2 + 1 + 1 = 66 + 6 + 1 + 1 = 74

8. [D]

Cone = πrl, l = slant height = 13, r = 5

Cylinder = 2πrh, h = 13, r = 5

Hemisphere = 2πr2, r = 5

Total S.A. = π.5.[13+ 26+ 10] = 770 cm2

9. [A]

r = radius of smaller circle

√2 r + r = 1 r = 1

2 1

10. [C] Original cost = 5 + 3 + 4 + 8 = 20

New cost = 5 x 1.2 + 3 x .8 + 4 x .8 + 8 x 1.2

= 6 + 2.4 + 3.2 + 9.6 = 21.2

% change = (21.2 – 20) x 100/20 = 6

11. [D] Suppose the monthly rate of interest = r %

1800 8 2 1200 12

72100 100

r r

r (288 – 144) = 72 r = 0.5 %

12. [B] Area = 2 22406 4

360r r

13. [B] Sum is odd if one of the numbers chosen is

odd and other is even. The given set has 20

odd and 20 even numbers. One odd number

can be chosen in 20

C1 = 20 ways. Similarly,

one even number can be chosen in 20

C1 =

AB

DC

3.5

3.5

3.5 2E

AB

DC

3.5

3.5

3.5 2E

12

13

5

5

13

5

12

13

5

5

13

5

r

r

r

√2r

r

r

r

√2r


20 ways Favorable cases = 20 x 20.

Total number of ways of choosing 2

numbers = 40

C2 = 20 x 39 Required

probability = (20 x 20)/ (20 x 39) = 20/39

14. [C] 2y xz 2log log log y x z

2 2log 1 log 1 log y x z

1 + log x, 1 + log y, 1 + log z, are in A.P.

1/(1 + log x), 1/(1 + log y), 1/(1 + log z)

are in H.P.

15. [B] Use options. Only 4/15 satisfies all the

conditions.

16. [D]

Cylinder Vc = πr2h, h = r Vc = πr

3

Hemisphere VH = (2/3)πr3

Cone Vcn = (1/3)πr2(r/2) = πr

3/6

Vc = VH = Vcn = 6 : 4 : 1

17. [C] C = 2 x 2[10 x 5 + (5/2) x 5 + 10 x (5/2)] x 6

C = Rs.2100

18. [B] 156 and 732 satisfy the condition of sum of

the digits = 12 and pair-wise product of the

digits = 41. If we take 732 as the number

with the digits of the original number

reversed, it satisfies the remaining

condition.

19. [D] Saurabh’s CP = Rs.15, SP = x

If Saurabh’s CP = 0.95 x 15 = Rs.14.40

For 75

%4

gain, SP = 75

14.4 (1 )400

= Rs.17.10

His original SP = 17.1 – 0.60 = Rs.16.5

Profit % = 1.5

100 10%15

20-23:

20. [B] Dainik Jagran’s circulation (in ‘000s)

90 + 33 + 32 + 8 + 19 + 15 + 1 = 198

Circulation of all other dailies (in ‘000s)

12 + 31 + 3 + 50 + 15 + 8 + 22 = 141

Required %ge 200/340 60%

21. [A] Circulation of Aj 5 + 15.6 + 1.2 21.8

Circulation of Rashtriya Sahara

5 + 29 + 3 + 0.3 + 8 + 21 = 66.3

Required ratio = 1 : 3

22. [C] Circulation figures for Agra (in ‘000s)

7.8 + 33.7 + 15.6 + 0.3 = 57.4

Circulation figures for Meerut (in ‘000s)

19.3 + 13.9 + 1.2 = 34.4

Required % = (23/ 34.4) 69%

23. [D] Option [D] gives the maximum reach.

I + IV: 89523 x 0.8 + 29234 x 1.2 106700

24-26: 24. [C] Leather shoes: 20 + 40 + 30 + 35 + 20= 145

Sports Shoes: 50 + 10 + 15 + 50 + 60 = 185

Required ratio = 145 : 185 = 29 : 37 ~ 0.77

7 : 9 ~ 0.77 is the closest option.

25. [D] Quantities are in ‘000s (LS: Leather Shoes,

SS: Sports Shoes)

Place LS SS Floaters

Revenues

C 20 50 10

Price (550) (2200) (220)

123200

H 0 60 30

Price (450) (1800) (180)

113400

Difference = 9800(‘000) = 98 lakhs

26. [A] At M: LS SS

Floaters

Capacity 40 10 150

Production(%) 75 50 80

Production 30 5 120

Total capacity = 40 = 10 + 150 = 200

Total production = 30 + 5 + 120 = 155

Combined % utilization = 155

77.5200

%

% unutilized capacity = 100 – 77.5 = 22.5%

27–30:

27. [D] Since, the rupee sales for the scooties and

motor-cycles as well as the distribution of

sales and volume across various brands for

scooties and motor-cycles are not given, the

highest unit price for a brand of two-

wheeler cannot be determined.

h/2

h/2

h/2

h/2


28. [B] Rupee sales of scooters (E) = 490 crores

Vol. sales of scooters (E) = 0.2 x 7 x 0.285

= 4 lakhs

Average price of E = 49000/4 = 12250

Volume of scooties = 0.15 x 7 = 1.05 m

Rupee market (scooties) = 1285 crores

29. [D] {(20/10) – (20/33)}/ (20/33) ≈ 230%

30. [A] 0.15 x 56.5 x 3.6 = 30.51º

SECTION II

31. [D] The author makes clear his disappointment

or disagreement with Hollenbach at several

places. Examples include:

End of 3rd

paragraph: “I was surprised..”

2nd

line of paragraph 5: “I was

disappointed..”

Last sentence of 6th

paragraph: “I could find

little ontological density..”

Last sentence of 7th

paragraph: “The author

evinces…”

The author does express satisfaction at

some places such as middle of 2nd

paragraph: “Hollenbach clearly and

usefully distinguishes..”

Hence, [D] is the best option.

32. [C] Refer to the end of the opening paragraph:

“wants to convince the reader not only that

the common good is intelligible..”

33. [C] Refer to the end of the 2nd

paragraph where

the author quotes Hollenbach: “A key

aspect .. of being in a community at all.”

34. [B] Refer to the beginning of the 6th

paragraph,

where Hollenbach’s definition of natural is

stated and the use of the phrase “in the light

of careful reflection on the full range of

human experience”.

35. [C] Refer to the middle of the 2nd

paragraph: “..

clearly and usefully distinguishes..”

36. [B] “.. pointless to quarrel ., especially one that

contains words such as careful and

critical” sums up author’s assessment of

Hollenbach’s definition.

37. [C] Refer to the beginning of the 2nd

last

paragraph: “Anyone who picks.. doesn’t

have much to say about Christian Ethics.”

Whereas the title of the book is The

Common Good and Christian Ethics.

Incoherent means vague, parsimonious

means thrifty/miserly whereas bizarre

means weird. None of these is apt

considering the content and tone of the

author, who simply implies that the title is

inapt or inappropriate.

38. [A] Refer to the 4th

line of the last paragraph:

“When he treats the Catholic tradition,

elementary distinctions are often missing.”

39. [C] Vice means morally weak and hence

contradicts with being shrewd, so option

[A] is ruled out. Only “defenses” (option

[C]) goes with “against” which follows the

second blank.

40. [A] Options [B] and [D] can be ruled out as

they do not fit the context. Phenomenon

can be multi-faceted while book cannot be!

41. [B] Only “frontiers” fits the first blank.

42. [A] Two sentences are disjoint but still related.

Therefore, the pause should be more than a

comma and less than a period (full-stop).

Hence, semi-colon is required.

43. [D] Past tense associated is incorrect when

exercise has been used in present tense.

Hence, options [A] and [B] are ruled out. In

option [C] too, past tense required is wrong

as rest of the sentence is in present tense.

44. [A] Sentence C simply names various books

(paperbacks) and relates sentence E to

sentence B; all three sentences talk about

‘these paperbacks’ of ‘that time’. E-C-B as

a link appears only in option [A], which

indicates the most logical ordering for the

given sentences.

45. [A] Either B or D has to follow from 1, which

talks about an upbringing in different

countries and an uneven income

distribution. Therefore, either option [A] or

option [D] is correct. However, considering

option [D], sentence B does not relate

either to E or to sentence C. Therefore, [A]

is the best option, in which B (talking about

income disparity) and D (talking about

multinational experience) follow 1, in that

order.


46. [C] Incorrect sentences: I (The correct usage is

‘eye on’). II (The use of present perfect

‘has improved’ is incorrect; ‘Once’

replaced with ‘Since’ will correct the

sentence.) IV (Correct usage is

‘misdirected’)

47. [B] Incorrect sentences: II (Correct usage is

‘The captain and the coach shook hands

warmly.’) III (Correct usage is ‘under full

media glare’) IV (Correct usage is ‘passed

off’)

48. [D] Incorrect sentences: II (Subjective case ‘I’

should be used instead of objective case

‘me’ when the pronoun is used as a subject

in a sentence.) III (Correct usage is

‘complimented’ and not ‘complemented’ in

this context.) IV (Correct structure is

‘always go hand-in-hand’)

49. [D] Incorrect sentences: I (‘Sports’ is plural so

the verb should be ‘build’) II (The use of

preposition ‘of’ in ‘…of a place…’ is

incorrect.) III (‘…they gave way to…’ and

‘…they made way for…’ are correct

usages.)

50. [A] Incorrect sentences: II (The correct usage is

‘As far as I am concerned…’) IV (‘…in the

heat of the moment…’ is the correct usage.)

51. [D] C and D sit opposite to each other. So, if A

sits opposite to cook, B should be the cook.

Now, B is right next to the Hair Dresser.

So, the above 2 arrangements are possible.

Hence, there is no unique solution.

52. [C] In first case, bacteria after the 5th

day = 32

Thereon, the increase in number of bacteria

and the area covered is the same as in the

second case it will take (20 – 5) = 15

days to cover the slide in the 2nd

case.

53-54:

53. [C] Q and P must lie on the route. You can

compare the options visually and see that

KXOPQL is the longest route that includes

Q and P.

54. [A] The shortest route would be KXPYL

(where PY is along the circumference of

the inner ring-road and is 18 units as given

in the question). KX = YL = 12 – 8 = 4

Required distance = 4 + XP + 18 + 4

= 26 + XP

XP = π 8 – 18 = 7.15 units

Required distance = 33.15 units

55-56: Laxman cannot shoot at A, C, E and G

he can take a maximum of 3 shots (B, D

and F) and a minimum of 2 shots (out of B,

D and F). Parthiv will have to shoot at 3 a

minimum of objects (out of A, E, C and G).

Rahul can shoot at only one object either

from Laxman’s set (B, D, F) or from

Parthiv’s set (A, E, C, G). Therefore, there

are 2 possibilities (in terms of number of

shots taken by each):

I. Parthiv– 3, Rahul– 1, Laxman– 3

II. Parthiv– 4, Rahul– 1, Laxman– 2

55. [B] If Parthiv and Laxman hit atleast half of the

objects they shoot at, then the minimum

number of hits in case

I: Parthiv – 2 out of 3, Laxman – 2 out of 3

Total = 4

II. Parthiv – 2 out of 4, Laxman – 1 out of 2

Total = 3

Rahul’s minimum number of hits = 0 in

both cases.

Therefore, minimum number of hits = 3 (i.e.

must exceed 2)

56. [C] Minimum number of shots for Rahul = 1,

for Parthiv = 2 and for Laxman = 2

Hence, the first additional shot is fired at

the 6th

object – F

57–58:

1

B, Cook

A, Washer man

C, H

air-

dre

sser

D,

Tai

lor

1

B, Cook

A, Washer man

C, H

air-

dre

sser

D,

Tai

lor

2

B, Cook

A, Tailor

C, W

ash

er

man

D, H

air

-

dre

sser

2

B, Cook

A, Tailor

C, W

ash

er

man

D, H

air

-

dre

sser

H Gir Gita R M Shir Sita San

E Y Y Y N Y Y Y N

H N Y Y N N N

M Y N Y Y N Y Y N

G Y N Y N N N Y N

S Y Y N N Y Y Y N


57. [C]

58. [C]

59–60: Three birds were seen by one person each,

three were seen by each unique pair

(Atreya-Rohtagi, Atreya-Chari, and

Rohtagi-Chari), and one was seen by all

three. So seven birds were seen in all, and

each person saw a total of four. Hence, all

of the birds Chari saw were yellow. These

were:

(1) the one Chari saw alone;

(2) the one Chari saw with Atreya;

(3) the one Chari saw with Rohtagi; and

(4) the one all three saw together.

This accounts for both of the yellow birds

Atreya saw, and two of the three yellow

birds Rohtagi saw. The third yellow bird

Rohtagi saw could not have been the one

Atreya and Rohtagi saw together, because

Atreya only saw two yellow birds; so the

third yellow bird Rohtagi saw must have

been the one he saw alone. So there were

five yellow birds (the one Rohtagi saw, the

one Chari saw, the one Atreya and Chari

saw, the one Rohtagi and Chari saw, and

the one all three saw), and two non-yellow

birds (the one Atreya saw and the one

Atreya and Rohtagi saw).

59. [C] Of the 7 birds, 5 were yellow.

60. [A] Of the 7 birds, 2 were non-yellow.

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