Directions For Qs. 1 – 5: Read The Following Short

SECTION I Directions for Qs. 1 – 5: Read the following short passages and answer the question that follows. 1.

In view of there being six major mishaps mid-air last year, resulting in over 600 deaths, the most in comparison with any previous year, the statement that air travel is becoming increasingly more dangerous holds true. Which statement, if true, would most strongly refute the argument above? 1. 2. 3. 4. 5.

2.

An increase in the number of deaths due to mishaps does not necessarily lead to the conclusion that air travel leads to greater danger, in view of the continual increase in the volume of air traffic. Hijackings, unusual weather, even statistical coincidence could account for the increase in collisions. Air travel has a lower mortality per passenger mile when compared with any kind of surface transportation. Air travel has shown an increase in deaths whose rate is identical to that for deaths in all other major forms of transportation. In the year gone by, the average number of passengers per plane flown was lower when compared with that of previous years.

The rising costs of the state prisons need an urgent course of action The present cost of maintaining a prisoner in a double occupancy cell in a state prison works out to Rs. 500 per day, on an average, yet, in the most expensive places in the state, the rent of rooms in the finest hotels is less than Rs 300 per night, on an average. The criticism of the argument above could be made on all of the following grounds except 1. 2. 3. 4. 5.

3.

introduction of an inappropriate analogy. relying on an unwarranted appeal to authority. failure to take account of costs that prisons have but hotels do not have. misuse of numerical data. drawing a faulty comparison.

Usually, when there is rainfall of an inch or more in a single day, my backyard immediately has weeds and other forms of wild plants growing in it. There are no weeds or other forms of wild plants growing in my backyard. Which of the following would be an appropriate sequel to the argument with the premises given above? 1. 2. 3. 4. 5.

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Therefore, there has been no rainfall here in the past day. Therefore, there perhaps has been no rainfall here in the past day. Therefore, there has not been more than an inch of rainfall here in the past day. Therefore, there perhaps, has not been more than an inch of rainfall here in the past day. Therefore, weeds and other forms of wild plants will be growing in my backyard tomorrow.

A1

A

4.

With a view to bring about an improvement in the physical fitness of students, a district came out with a measure wherein students would earn extra credit in physical education if they take part in extracurricular athletic activities. The district officials claim the measure to be a success, in view of participation of students in after – school sports having doubled since the implementation of the measure. The claim of the district official is most strongly undermined by which of the following, if true? 1. 2. 3. 4. 5.

5.

The prime motive of most of the students participating in the after–school sports was earning extra credit. The incentive that the measure provided was not strong to persuade students in poor physical condition to participate in after–school sports. Few students who joined after–school sports during the extra credit measure will continue to play the sport after the school year ends. Most of the new athletes are students who had never participated in after–school sports before. Even after joining after – school sports, the physical condition of students has not shown any substantial improvement, as per the fitness set.

At the Singapore supermarket built a decade ago, the number of thefts that succeeded has risen meteorically in the last few months. Singapore supermarket has an electronic security system which functions with good reliability at all customer exit doors. The system is operative and functioning. Therefore, the thefts must have been committed by people who used exits other than the regular customer exit doors. The conclusion above would hold true if which of the following can be assumed? 1. 2. 3. 4. 5.

If a surveillance system is installed in a supermarket, it is always equipped at every possible exit. If an employee so wishes, he is allowed to leave through an exit which is mot monitored by the surveillance equipment. If the supermarket has a reliable security system, it is impossible to pass through the system undetected. If the supermarket was built during the period referred to above, it has exits that cannot be equipped with electronic surveillance. If the supermarket has a reliable electronic security system, but is still experiencing a rise in theft, employees’ hand in such acts cannot be ruled out.

Directions for Qs. 6 – 10: In each of the following sentences a part of the sentence is underlined. Replace the Bold part with the options which conforms best to the Standard English usage. 6.

It is possible that sharp increase of economic inequality in recent years of China may have also contributed to the slowing down of the progress in life expectancy. 1. 2. 3. 4. 5.

7.

sharp increase of economic inequality in recent years in China the sharp increase in economic inequality in recent years of China the sharp increase of economic inequality in recent years in China in recent years the China’s sharp increase of economic inequality sharp increase in economic inequality in recent years in China

It is rather remarkable that the admiration of sheer force should be as strong in the reactions of even such a kind-hearted person, but perhaps the power of nationalism played a role here, along with the general fascinationthat mighty weapons seem to generate. 1. 2. 3.

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the admiration of sheer force should be so strong in the reactions of even such a kind-hearted person the admiration of sheer force should be as strong in the reactions of even such a kind-hearted person the admiration for sheer force be as strong in the reactions of even such a kind-hearted person A2

A

4. 5. 8.

The study of calendars and their history, usage and social association could provide a fruitful understanding of important aspect of a country and its cultures. 1. 2. 3. 4. 5.

9.

could provide a fruitful understanding of important aspect of a country and its cultures. can provide a fruitful understanding of important aspect of country and its cultures. can provide a fruitful understanding of important aspects of a country and its cultures. provide a fruitful understanding of important aspect of a country and its cultures. can provide a fruitful understanding of important aspect of a country and its culture.

The aim is not to provide a complete or true breakdown of the situation into its component parts, in analysis, provide material that can be used to stimulate restructuring of the original situation. 1. 2. 3. 4. 5.

10.

the admiration of sheer force should be as strong in the reactions of such a kind-hearted person the admiration for sheer force should be so strong in the reactions of even such a kind-hearted person

the situation into its component parts, as in analysis, and to provide material which can be. situation into its component parts, as in analysis, provide material that can be the situation into its component parts, in analysis, but provide material that can be the situation into its component parts, as in analysis, but to provide material which can be the situation into its component parts, in analysis, provide material that could be

The therapist teaches the client about the emotional life, especially the importance of accepting all of one’s emotions as good as and necessary to psychological wholeness. 1. 2. 3. 4. 5.

the importance of accepting all of one’s emotions as good as necessary for about the importance of accepting all of one’s emotions as good as and necessary to about the importance of accepting all of one’s emotions as good and necessary to about the importance of accepting all of your emotions as good as necessary to the importance of accepting all of one’s emotions as good as and necessary to

Directions for Qs. 11 – 15: Five statements with blanks are given followed by five alternatives, choose the one which fits the set of statements maximum number of times. 11.

12.

A.

B. C. D. E.

This apartment is for___________. The storm _____________ the ship to pieces. Her scream __________ the silence. See what a __________ the envious casca made! Normally, we live in Falminster but had _________our house to a visiting American professor and his family.

1.

sale

A.

B. C. D. E.

It is the duty of the government to __________ the law without bias. A water ___________ should be installed at major locations of town during summers. _________ your duty with sincerity. Let’s _____________ with the formalities. A backup copy of a computer program doesn’t _____________ copyright.

1.

dispense

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2.

2.

broke

perform

3.

3.

rent

purifier

A3

4.

4.

pierced

implement

5.

remark

5.

support

A

13.

14.

15.

B. C. D. E.

A.

We worked without ___________to get the project finished on time. Small patches of bright colour can __________ an otherwise dull interior. New slipcovers will ____________the old living room furniture. The man was of approximately the same height and _________ as himself. He __________ on the philosophies of the past.

1.

decipher

A.

B. C. D. E.

They are his ___________ parents, that’s why his blood sample doesn’t match to theirs. It is a teacher’s duty to detect and _________ artistic talent. I constantly update myself to ________ new ideas. She has no option than to put her kids in a________ home while she attends her office. Always ________ a secret hope.

1.

step

B. C. D. E.

A.

She sets a good _________. She gave money under the _________ to get the apartment. As the water __________ has gone down it will lead to drastic consequences in the coming season. They associated only with those on their own economic ___________. The _________ of the music was almost funeral.

1.

mood

2.

2.

2.

cease

foster

table

3.

3.

3.

brighten

develop

level

4.

4.

4.

build

nurture

aura

5.

help

5.

special

5.

example

Directions for Qs. 16 – 20: Read the following short passage and answer the question that follows. 16.

All men recognize the right of revolution; that is, the right to refuse allegiance to, and to resist the government, when its tyranny or its inefficiency are great and unendurable. But almost all say that such is not the case now. But such was the case, they think, in the Revolution of ’75, If one were to tell me that this was a bad government because it taxed certain foreign commodities brought to its ports, it is most probable that I should not make an ado about it, for I can do without them. All machines have their friction; and possibly this does enough good to counterbalance the evil. At any rate, it is a great evil to make a stir about it. But when the friction comes to have its machine, and oppression and robbery are organized, I say, let us not have such a machine any longer. In other words, when a sixth of the population of a nation which has undertaken to be the refuge of liberty are slaves, and a whole country is unjustly overrun and conquered by a foreign army, and subjected to military law, I think that it is not too soon for honest men to rebel and revolutionize. What makes this duty the more urgent is the fact that the country so overrun is not our own, but ours is the invading army. What does the text convey? 1. 2. 3. 4. 5.

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The right of the oppressed masses to stage an uprising knowing fully well that such a move is likely to be defeating in the ultimate run. The lack of scruples on the part of a territory that unjustly overruns another territory, thereby perpetuating a rebellious situation. The courage on the part of some members of the vanquishing country to oppose the unjust overrunning of another territory, to the extent of abetting a revolution or a rebellion. The need to ensure that there is no cause among country men to rebel and revolutionize, on the lines of machines being made friction – free. The respect and cognizance of the right of people to resist the tyranny and inefficiency of the government, and to desist from being slavish. A4

A

17.

England arrives in the Caribbean in a pretty pickle. Ever since gongs were dished out after the 2005 Ashes ' Team England'has been falling apart. Victory can be more dangerous than defeat. Handing out MBE' s to everyone except the physio indicated that England considered the job complete. The Australians had been put in their place and the world was spinning on its proper axis. But a narrow victory in a single series played on home soil was hardly proof that all the bad habits were things of the past, the self-importance, the pampering, the backslapping. Once the party atmosphere had died down, England might have said a quiet prayer that Glenn Mc Grath had missed some of the matches and that their bowling coach had taught them about reverse swing. Instead England lost its head. Michael Vaughan was partly to blame. A fine captain, he came to regard himself as sacrosanct. He lost form and fitness and became a distraction. His arrival in Australia for the disastrous 2006/7 Ashes campaign served little purpose except reminding everyone about the recent past. Instead he should have stayed in Yorkshire or gone to South Africa. Moreover it was indiscreet of him to start writing newspapers columns whilst his hat remained in the ring. He can hardly need the money. Mistakes piled up. England allowed its bowling coach to slip through its grasp. At best it was foolish, at worst arrogant. Of course the incredulous Australians snapped him up. Bowlers win matches. The issue that has surfaced, as made out from the text, is that of 1. 2. 3. 4. 5.

18.

England not working towards building and binding its team not learning from past lapses and recklessly indulging in unwanted or improper treatment of its players. cracks and crevices that have crept in team England, brought about by various situations, with a daunting task ahead of doing the required damage control, together with building and binding the team. members of team England becoming unrestrained and indiscreet when representing their country, all because of pampering and incorrect handling by the authorities. team England becoming severed on account of some players showing an undesirable conduct, and the authorities handling them in a tactless manner, necessitating a need for an adequate and a proper binding and building. a need to discipline the erring members of team England, in place of unbounded reverence and adulation that the country has heaped on them.

All voting is a sort of gaming, like checkers or backgammon, with a slight moral tinge to it, a playing with right and wrong, with moral questions; and betting naturally accompanies it. The character of the voters is not staked. I cast my vote, perchance, as I think right; but I am not vitally concerned that right should prevail. I am willing to leave it to the majority. Its obligation, therefore never exceeds that of expediency. Even voting for the right is doing nothing for it. It is only expressing to men feebly your desire that it should prevail. A wise man will not leave the right to mercy of chance, nor with it to prevail through the power of the majority. There is but little virtue in the action of masses of men. When the majority shall at length vote for the abolition of masses of men. When the majority shall at length vote for the abolition of slavery, it will be because they are indifferent to slavery, or because there is but little slavery left to be abolished by their vote. They will then be the only slaves. Only his vote can hasten the abolition of slavery who asserts his own freedom by his vote. Which of the following best represents the stand that the writer takes, as made out from the text? 1. 2. 3. 4.

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That of espousing what is right through unflinching conviction using the prevailing possible means, unmindful of the dictates of the situation prevalent or the popular stand taken. That of according the dominance of character when exercising the right to vote, and not just leaving issues to the collective will of the vast majority or to chance. That of going with the tide, when casting vote, instead of waging a lone battle over issues, a win which is well nigh impossible. That of applying worldly-wisdom when casting vote, calculating and speculating on the public acceptance or discarding of issues that any conscientious person would love to espouse. A5

A

5. 19.

That of persevering to the end any pursuit that is undertaken with conviction without being affected by the outcome or the treatment that the vast majority or those at the helm of power give.

Thus the State never intentionally confronts a man' s sense, intellectual or moral, but only his body, his senses. It is not armed with superior wit or honesty, but with superior physical strength. I was not born to be forced. I will breathe after my own fashion. Let us see who is the strongest. What force has a multitude? They only can force me who obey a higher law than I. They force me to become like themselves. I do not hear of men being forced to live this way or that by masses of men. What sort of life was that to live? When I meet a government which says to me, "Your money or your life," why should I be in haste to give it my money? It may be in a great strait and not know what to do: I cannot help that. It must help itself; do as I do. It is not worth the while to snivel about it. I am not responsible for the successful working of the machinery of society. I am not the son of an engineer. I perceive that, when an acorn and a chestnut fall side by side, one does not remain inert to make way for the other, but both obey their own laws and spring and grow and flourish as best they can, till one, perchance, overshadows and destroys the other. If a plant cannot live according to its nature, it dies; and so a man. The underlying sentiment in the text is best depicted by which of the following? 1. 2. 3. 4. 5.

20.

That of the government realizing the futility of forcing citizens to live and lead lives, as per established norms. That of a person learning the inevitability of going along with the tide upon finding the resistance to the tide as infractions. That of a person affirming subservience to the established government in order to lead a trouble-free life which would not be the case if the situation were to be otherwise. That of a person asserting fearlessness of government and upholding the need to live and lead an independent life. That of an individual to be alive to what constitutes basic laws that pertain to his living and to have the coverage and connection to lead life accordingly, unaffected by the dictates of the masses or the regime.

We may imagine a time when in the infancy of the human race, some enterprising mortal crept into a hollow in a rock for shelter. Every child begins the world again, to some extent, and loves to stay outdoors, even in wet and cold. It plays house, as well as horse, having an instinct for it. Who does not remember the interest with which, when young, he looked at shelving rocks, or any approach to cave ? It was the natural yearning of that portion of our most primitive ancestor which still survived in us. From the cave we have advanced to roofs, of palm leaves, of bark and boughs, of linen woven and stretched, of grass and straw, of boards and shingles, of stones and tiles. At last, we know not what it is to live in the open air, and our lives are domestic in more sense than we think. From the hearth the field is a great distance. It would be well, perhaps, if we were to spend more of our days and nights without any obstruction between us and the celestial bodies, if the poet did not speak so much from under a roof, or the saint dwell there so long. Birds do not sing in caves, nor do doves cherish their innocence in dovecots. The crux in the above text is best felt in which of the following? 1. 2. 3. 4. 5.

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Man should realize how he has advanced this stage of progress that he has made from the primitive stage to the present. Man should give an outlet for his adventurous and explorative spirit like what his ancestors did. Man should not shy from Nature and should feel her presence at all places. Man should not be drowned or absorbed in his advancement and progress; he should confront nature as often as possible and become adaptive towards her while learning about her. Man should balance his living in present-day-comforts with a rich exposure to natural environs.

A6

A

Directions for Qs. 21 – 40: Read the passages given below and answer the questions that follow. PASSAGE I The mass of men lead lives of quiet desperation. What is called resignation is confirmed desperation. From the desperate city you go into the desperate country, and have to console yourself with the bravery of minks and muskrats. A stereotyped but unconscious despair is concealed even under what are called the games and amusements of mankind. There is no play in them, for this comes after work. But it is a characteristic of wisdom not to do desperate things. When we consider what, to use the words of the catechism, is the chief end of man, and what are the true necessaries and means of life, it appears as if men had deliberately chosen the common mode of living because they preferred it to any other. Yet they honestly think there is no choice left. But alert and healthy natures remember that the sun rose clear. It is never too late to give up our prejudices. No way of thinking or doing, however ancient, can be trusted without proof. What everybody echoes or in silence passes by as true today may turn out to be falsehood tomorrow, mere smoke of opinion, which some had trusted for a cloud that would sprinkle fertilizing rain on their fields. What old people say you cannot do, you try and find that you can. Old deeds for old people and new deeds for new. Old people did not know enough once, perchance, to fetch fresh fuel to keep the fire a-going; new people put a little dry wood under a pot, and are whirled round the globe with the speed of birds, in a way to kill old people, as the phrase is. Age is no better, hardly so well qualified for an instructor as youth, for it has not profited so much as it has lost. One may almost doubt if the wisest man has learned anything of absolute value by living. Practically, the old have no very important advice to give the young, their own experience has been so partial, and the lives have been such miserable failures, for private reasons, as they must believe; and it may be that they have some faith left which belies that experience, and they are only less young than they were. I have lived some thirty years on this planet, and I have yet to hear the first syllable of valuable or even earnest advice from my seniors. They have told me nothing and probably cannot tell me anything to the purpose. Here is life, an experiment to a great extent untried by me; but it does not avail me that they have tried it. If I have any experience which I think valuable, I am sure to reflect that this Mentor said nothing about. 21.

“The bravery of minks and muskrats”, appearing in the beginning of the passage alludes to 1. 2. 3. 4. 5.

22.

Which of the following, if true, is endorsed by the passage? 1. 2. 3. 4. 5.

23.

the bravery as exemplified in the adage “fortune favours the brave”. the bravery that is akin to being quixotic. the bravery that is shown when one is at one’s wits end and when survival becomes critical. the bravery shown by an aggressor, in a foreign land. the bravery shown by an explorer or an expeditioner.

That men were left choiceless in regard to the mode of living and thus were conditioned to live it is untrue. Only those who are devoid of wisdom are driven toward desperate acts. The set practices and thinking of predecessors become the genesis of traditions and prejudices upheld by the successors. Advice when needed is least ceded, on the part of those who are in the evening of their lives. All of the above.

Old people as averred by the passage, are characterized by all of the following except that 1. 2. 3. 4. 5.

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they are averse to turn into a new leaf. they never encouraged free thinking. they would not mind to be in the mire of ignorance. they are accustomed to leading a life full of hardships. they are unworthy of being advisors to the young generation . A7

A

24.

The primary purpose behind the writing of the passage isn’t shown by which of the following? 1. 2. 3. 4. 5.

25.

To enlighten the reader how superstitions and prejudices are caused. To nurture the spirit of independence of the young people. To reflect on the undercurrent of desperation in man’s acts and pursuits. To assert how the old people could have chosen to lead a more meaningful life. To direct people to lead life not just mechanically but to lead it with awareness and with explorating spirit.

Which of the following is not an appropriate classification and description of the passage and its tone? 1. 4.

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Treatise, derogatory Elucidation, lampooning

2. 5.

Reflections critical Viewpoint, berating

A8

3.

Musings, censorious

A

Directions for Qs. 26 – 31: Answer the questions on the basis of the following information. “Big Multiplex” is a multiplex cinema hall with four auditoriums inside. These auditoriums are capable of running four movie-shows simultaneously. Each auditorium runs exactly four shows in a day: The Morning Show starting at 11AM, The Afternoon show starting at 2PM, the Evening Show starting at 5PM and the Night Show starting at 8PM. The names of the auditorium, class-wise seating capacity and ticket rates are given in Table-1 and Table-2 below: TABLE-1: Name of the Auditorium Screen-1 Screen-2 Screen-3 Screen-4

No. of seats in Gold Class 200 300 100 120

No. of seats in Platinum Class 50 100 40 40

No. of total seats 250 400 140 160

TABLE-2: Name of the Auditorium Screen-1 Screen-2 Screen-3 Screen-4

Rs. per ticket in Gold Class 90 100 120 110

Rs. Per ticket in Platinum Class 150 120 200 200

The owner of the cinema hall decides to celebrate a “Big-B Movie Fest” on 11th October to coincide with the Birthday of the Superstar. He planned to run shows of four super-hit movies only all across the day. He chose following movies to run: Aankhen, Black, Cheeni Kum and Sarkar-raj. Keeping in mind the viewers choices of show time he planned to run shows with following conditions: • •

No auditorium runs the same movie in any two consecutive shows. “Black” is run in Screen-4 during the Night Show.

Table-3 below shows the number of times a movie was run in particular shows: Shows Morning Afternoon Evening Night

Aankhen 2 1 2 1

Black 1 2 0 1

Movies Cheeni Kum 1 0 1 2

Sarkar-raj 0 1 1 0

Table-4 below shows the number of times a movie was run in particular auditoriums: Auditoriums Screen-1 Screen-2 Screen-3 Screen-4

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Aankhen 2 1 2 1

Black 0 1 1 2

Movies Cheeni Kum 1 2 0 1

A1

Sarkar-raj 1 0 1 0

A

26.

In which show was movie Aankhen showing at Screen-2? 1.

27.

3.

Night

4.

Evening

5.

Indeterminate

Screen 2 & 3 Either 1 or 3

2. 5.

Screen 4 & 3 Indeterminate

3.

Screen 2 & 4

Screen 1

2.

Screen 2

3.

Screen 4

4.

Screen 1 or 2

5.

Indeterminate

Rohit saw all the four movies that very day, one after the other in four consecutive shows. Which of the following may be true for him? 1. 2. 3. 4. 5.

30.

Afternoon

In which auditorium was movie Cheeni Kum shown in the morning show? 1.

29.

2.

In which two auditoriums was the movie Black running at the same time? 1. 4.

28.

Morning

Sarkar Raj was the first movie he saw Sarkar Raj was the last movie he saw He paid Rs 150 to see the movie Black He saw all the four movies in a single auditorium He paid Rs 150 to see the movie Cheeni Kum

Gopinath also saw all the four movies that very day, one after the other in four consecutive shows. He began his day by watching Aankhen in the first show. Which of the following is necessarily true for him? 1. 2. 3. 4. 5.

Cheeni Kum was the third movie he saw Sarkar Raj was the last movie he saw If he saw Sarkar Raj in the afternoon show, then he saw Black in the night show If he saw Sarkar Raj in the afternoon show, then he saw Black in the evening show None of the above

Directions for Qs. 31 – 35: Answer the questions on the basis of the following information. Cerebral cricket club has 16 players A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P. Selection committee have to form team of 12 cricketers from the above 16 players such that team must contain 8 batsman, 5 bowlers and 2 wicketkeepers. There are three people J, K, L who can bat and bowl, three people G, H, I who can bat and do wicket keeping. A, B, C, D, E, F are batsman only and M, N, O, P do bowling only. 31.

Total possible number of arrangement, the selectors can have 1.

32.

2.

36

3.

30

4.

60

5.

20

5.

None of these

Total number of players which must be there in the team for any combination is 1.

33.

54

3

2.

4

3.

5

4.

6

If A and G can’t play together due to internal disputes then which two player must be in the team? 1.

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B and H

2.

C and H

3.

B and I

A2

4.

C and I

5.

Can’t say

A

34.

If J and G are the two members of the team then the team must not have? 1. 2. 3. 4. 5.

35.

K, L, H and I K, L and either of H and I H, I and either of K and L. Two out of A, B, C, D, E, F Tow out of H, I, K and L

Out of G, H, I, J, K, L and M the team must contain 1. 2. 3. 4. 5.

One out of G, H and I and two out of J, K and L. One out of G, H and I and two out of J, K, L and M One out of G, H and I and one out of J, K, and L. Two out of G, H and I and one out of J, K and L None of the above

Directions for Qs. 36– 40: Answer the questions on the basis of the information given below. In the Fertile land of India, there are four states – Tamil Nadu, UP, Gujarat and MP, which produce different types of food grain. Each province fixes the standard prices of the food grains that it produces in terms of its respective currency – Taka (T), Uka (U), Ginar (G) and Morem (M) for Tamil Nadu, UP, Gujarat and MP respectively. In each province, the standard price of each type of food grain is determined based on the demand-supply trend of that food grain in that province. The following table gives the standard price per Kg of three types of food grains in the four provinces, in the currencies of the respective provinces. Province Tamil Nadu UP Gujarat MP

Wheat 40 50 45 55

Standard price per Kg of Rice 30 30 35 25

Pulses 10 20 15 20

Further, there is a trade centre in each province where these food grains are bought and sold. The trade centre in each province has a certain fixed trading percentage. If the trading percentage of the trade centre in a certain province is p%, then the trade centre always sells any food grain at a premium of p% over the standard price of that food grain in that province and always buys any food grain at a price such that the trade centre would make a profit of p% on the price at which it bought the food grain, if it were to later sell that food grain at its standard price in that province. The trading percentages of the trade centres in Tamil Nadu, UP, Gujarat and MP are 5%,10%, 15% and 10% respectively. For example, the trade centre in MP always sells wheat at a premium of 10% over 55 M per Kg (the standard price of wheat in that province), i.e., at 60.5 M per Kg, and always buys wheat at a price of 50 M per Kg, so that it can make a profit of 10% on this 50 M per Kg (i.e., the price at which it bought the wheat), if it were to later sell the wheat at 55 M per Kg (the standard price of wheat in that province). The currency conversion ratios for the four currencies are as follows: T = 2U = 3G = 4M 36.

If a person buys wheat at the trade centre in UP and sells it at the trade centre in Gujarat, his profit or loss percentage would be approximately 1.

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32.8%

2.

44.6%

3.

52.5% A3

4.

61.3%

5.

65.5% A

37.

The Rice bought for a certain amount A, at the trade centre in MP can be used by a person to work for 100 days. If Rice is bought for the same amount A, but at the trade centre in Tamil Nadu, the work the person can do on that Rice is approximately 1.

38.

18 days

3.

22 days

4.

28 days

5.

24 days

1T

2.

2T

3.

3T

4.

4T

5.

5T

Which of the following statements is definitely true? 1. 2. 3. 4. 5.

40.

2.

Given that the province of Tamil Nadu introduced a new tax, named customs duty, on the pulses which is bought at the trade centre in MP and sold at the trade centre in Tamil Nadu, then what should be the approximate amount of customs duty per Kg of pulses, so that any person buying pulses at the trade centre in MP and selling it at the trade centre in Tamil Nadu makes only 20 percent profit? 1.

39.

12 days

If a person buys wheat at the trade centre in UP and sells it at the trade centre in Gujarat, he will make a profit. If a person buys Rice at the trade centre in UP and sells it at the trade centre in Tamil Nadu, he will make a loss. If a person buys pulses at the trade centre in UP and sells it at the trade centre in MP, he will make neither toss nor gain. 1 and 2 None of the above

By buying and selling pulses, a person can make the maximum profit, when he 1. 2. 3. 4. 5.

buys it at the trade centre in MP and sells it at the trade centre in Tamil Nadu, buys it at the trade centre in MP and sells it at the trade centre in UP. buys it at the trade centre in Gujarat and sells it at the trade centre in UP. buys it at the trade centre in Gujarat and sells it at the trade centre in Tamil Nadu None of these

Directions for Qs. 16 – 20: Each question is followed by three statements I, II and III. Mark the suitable option given below: 41.

In a triangle ABC, is (s – a) (s – b) < s (s – c) where s is semi-perimeter and a, b and c are sides of triangle opposite to angles A, B and C? I. Triangle ABC is right angled triangle. II. a>b>c III. 2s = a + b + c 1.

131313

Only I

2.

I and II

3.

I and III

A4

4.

II and III

5.

I, II and III

A

42.

A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at Rs.30 / kg. How many kgs of the second variety will be in the mixture? I. The profit earned on the mixture is 20%. II. He mixes the three varieties of rice in the ratio of 5:5:6. III. He mixes 2 kgs. of first variety of rice. 1.

43.

II and III

2.

I, II and III

3.

I and III

4.

I and II

5.

Only I

4.

II and III

5.

I, II and III

A, B and C are natural numbers. What is the value of B? I. A2 + B3 = 793 II. B3 + 17 = C2 III. A3 + B3 = 1729 1.

44.

Only I

2.

Only II

3.

I & II

ABCD is a quadrilateral and P, Q, R and S are the mid points of AB, BC, CD and AD respectively. What is the radius of incircle of PQRS? I. AB = 8 cm. II. PQRS is a rhombus III. BC = 6 cm. 1.

45.

I, II and III

2.

Only II

3.

I & III

4.

II and III

5.

I and II

Which of the 4 numbers A, B, C and D is greatest? I.

The average of A and B is more than the average of C and D and the average of A and D is more than average of B and C. II. A is greater than B and C III. B is greater than C.

1. 4.

131313

I, II and III II and III

2. 5.

I and II Cannot be determined

A5

3.

I & III

A

Directions for Qs. 45-50: Answer the questions on the basis of the information given below. The following charts represent the profile of the members of Indian Parliament in 2003. The Indian Parliament consists of two different houses - Lok Sabha and Rajya Sabha. A member-of Parliament belongs to one and only on< of the two houses. The profile is represented with respect to the party the member belongs to, the sex, age, religion and professional background of the member. The Lok Sabha has a total of 550 seats and the Rajya Sabha has a total of 250 seats.

Number of members

Party position 300 250 200 150 100 50 0 Congress(I)

BJP Lok Sabha

Others

Rajya Sabha

Age profile of the two houses Average Eldest Youngest 0

20

40

60

80

100

120

Age (in years) Rajya Sabha

Lok Sabha

Religion profile - Lok Sabha 21

Religion profile - Rajya Sabha

40

60

Hindu

Hindu

24

Muslim

106

Christan

82

Others 383

Christan Sikh

16

Sikh

Muslim

Others

12 56

131313

A6

A

Lok Sabha

Rajva Sabha Background

46.

Sex Male

208

152

Female

42

73 52

2. 5.

72 Can’t be determined

3.

0

61.4 76.6

2. 5.

57.6 Can’t be determined

3.

63.2

208 86

2. 5.

106 Can’t be determined

3.

64

3.

48.55%

What is the percentage of Congress (I) members in the parliament? 1. 4.

50.

398

What can be the minimum number of Hindu males/who are the members of Rajya Sabha? 1. 4.

49.

152 26 24 19 4 25

What is the average age of the members of Parliament? 1. 4.

48.

Leaders Actors Lawyers Doctors Engineers Others

If all lawyers and all women in the Lok Sabha vote in favour of the bill, how many more votes will be needed for a majority? (Majority means more than 50% members of a given house vote in favour of the bill.) 1. 4.

47.

354 64 26 12 11 83

44.8% 34%

2. 5.

47.37% Can’t be determined

Atleast how many Muslims were there in congress(I) if BJP did not consist any Muslim member? 1. 4.

131313

62 55

2. 5.

42 Can’t be determined

A7

3.

38

A

51.

PQR S x S AAAS Given is a multiplication of a four digit no. with a single digit no., in which each alphabet represents a digit from 0 to 9. If P = 1 & R – Q = A, Then PQRS when divided by 100, the remainder is 1.

76

2.

75

3.

65

4.

96

5.

None of these

5.

None of these

If x + 2 + x − 3 < 7, then for what range of values of x will the inequation be satisfied?

52.

1. 53.

–2<x<3

2.

–4<x<7

3.

−3<x<4

4.

−1<x<−4

How many three digit numbers exist such that the product of extreme digits is equal to the middle one? 1.

19

2.

21

3.

22

4.

31

5.

32

If a = bx = cy = dz, such that x, y & z are positive integers less than 6. Then how many ordered triplets (x, y, z) are there for which loga (abcd) will be an integer?

54.

1.

4

2.

55. A

6

3.

8

4.

10

5.

None of these

D P Q R

B

C In the given figure ABCD is a rectangle such that 4AB = 3BC & PR = 2QS. If PQ = 2 10 cm, then area of the rectangle is

124 2

1. 56.

S

2.

50 2

3.

125 10

4.

50 2 + 14 10

5.

None of these

In the diagram AOB is a quadrant of a circle of radius 10 and PQRO is a rectangle of perimeter 26. The length of boundary of shaded region is B 10 − y Q

R y

A

P 1.

131313

y x

7+5π

O 2.

13 + 5 π

3.

17 + 25 π

A1

4.

17 + 5 π

5.

13 + 25 π

A

57.

A liquid C is mixture of two liquids A and B in ratio 3 : 2. Their boiling points are different. 1000 ml of the liquid C is boiled, till 60% of the liquid C remains in the container. The vapor contains A and B in ratio 4 : 1. The container is then filled with liquid B. The ratio of liquids A and B in the container is 1.

58.

9:8

2.

7 : 18

3.

6 : 17

4.

7 : 19

5.

11 : 10

To complete a certain work Ram required ‘m’ times as long as Shyam and Ghanshyam together, Shyam requires ‘n’ times as long as Ram and Ghanshyam together and Ghanshyam requires ‘p’ times as long as Ram and Shyam 1 1 1 take together. Then is + + m +1 n +1 p +1 1.

1

2.

mnp m+n+p

4.

mn + np + pm m+n+p

5.

None of these

3.

1 + 2 (m + n + p)

Directions for Qs. 59 – 61: Answer the following questions on the basis of following information. Two swimmers A and B start to swim simultaneously from the opposite banks of a river 130 m wide. After crossing each other A and B take 49 seconds and 36 seconds respectively to reach the opposite banks. As soon as they reach the banks, they turn and start to swim towards the other banks. 59.

60.

The speeds of A and B are 1.

6 m/s, 7 m/s

2.

4.

130 130 m / s, m/s 7 9

5.

20 m

2.

10 m

3.

30 m

4.

35 m

5.

None of these

650 m 7

2.

260 m 7

3.

130 m 7

4.

390 m 7

5.

None of these

The ratio of term numbers of the 10th common terms in each of the two given series: 3, 10, 17, 24 ….. and 7, 12, 17, 22 ….. is 1.

63.

20 20 m / s, m/s 7 6

When B reaches to his original bank, what was the position of A from his bank? 1.

62.

3.

The distance between their first and second crossing point is 1.

61.

10 5 m / s, m / s 7 3 130 130 m / s, m/s 7 11

27 : 65

2.

2:3

3.

25 : 33

4.

8 : 11

5.

None of these

4.

217 x 57 + 14

5.

None of these

The sum of the series 1.2 + 5.22 + 9.23 + ……… + 61.216 is 1.

131313

217 x 59 + 44

2.

216 x 49 + 14

3.

216 x 39 + 14

A2

A

64.

In the given figure ABCD is a rectangular road with AB = 8 km and AD = 6 km. P, Q, R & S are mid points of the sides as shown. A circular road is constructed such that it is inscribed in the quadrilateral PQRS. A person ‘X’ starts from A and moves on the rectangular road ABCD and reach A in 5 hours. Another person ‘Y’ running on the 4 circular road completes one round in 1 hours. The ratio of speed of X to the speed of Y is 7 P A B S

Q

D 1. 65.

2.

13 : 15

3.

20 : 27

4.

2:5

5.

None of these

144

2.

143

3.

121

4.

120

5.

81

In a certain island there lived families of a certain tribe. In year 1700 the number of families and members in each family were equal. During next 20 years 670 new members were born and 50 members per family died. The minimum number of persons on the island in year 1720 is 1.

67.

7 : 12

A locomotive engine can go 24 km in an hour without train. Its speed decreases directly as the square root of number of wagons attached to it with 4 wagons the speed is 20 km/hr. The maximum number of wagons with which the engine can move is 1.

66.

C

R

45

2.

46

3.

44

4.

48

5.

None of these

A tradesman sales sugar at x% gain on the cost price. In addition to this he uses a false balance both during purchase and sell of sugar such that his over all gain is (x + 11)% on cost price. However if he interchanges the pans during purchase and sell he experience no loss and no profit. The value of x is 1.

11%

2.

10%

3.

12.1%

4.

10.24%

5.

14%

Directions for Qs. 68 & 69: Answer the following questions on the basis of following information. In a group of 175 people, who read at least one of the newspapers Times of India, Indian Express, Economic Times and Hindustan Times, the following data is available. • • 68.

The number of person who read TOI, IE, ET and HT are 50, 75, 85 and 65 respectively. The ratio of people reading exactly 3 news papers, exactly 2 news paper and exactly 4 news papers is 1 : 1 : 1 The number of people who read all the 4 news papers are 1. 4.

131313

50 data incorrect

2. 5.

150 data insufficient A3

3.

100

A

69.

The number of people who read exactly one news paper is 1. 4.

50 35

2. 5.

75 data insufficient

3.

25

Directions for Qs. 70 & 71: Each question is followed by two statements I & II. Answer each question using following instructions. Choose 1 Choose 2 Choose 3 Choose 4 Choose 5 70.

Is (4n + 1) divisible by 3? I. II.

71.

If the question can be answered by using statement I alone, but cannot be answered by using the statement II alone. If the question can be answered by using statement II alone, but cannot be answered by using the statement I alone. If the question can be answered by using either statement alone. If the question can be answered by using both statements together, but cannot be answered by using either statement alone. If the question cannot be answered even by using both the statements together.

If n is a positive integer. If n is a real number.

In the given figure, what is the area of ∆ABP? B A P D I. II.

72.

C ABCD is a square of side 2 cm ∠ABP = 30°

A train P starts from station A and approaches station B which is 240 kms apart with uniform speed. An hour later, another train Q starts from station A, and after traveling for 2 hours, reach to a point that P passed 45 minutes previously. The speed of Q is now increased by 5 km/hr, and it overtakes P just on entering station B. The speeds at which the two trains initially started are respectively. 1. 4.

131313

50 km/h & 48 km/h 40 km/h & 50 km/h

2. 5.

43 km/h & 47 km/h Data insufficient

A4

3.

40 km/h & 45 km/h

A

73.

In the given figure ABCD is a cyclic quadrilateral. AQ and CP are the bisectors of angles ∠BAD & ∠BCD respectively. If ∠PBC = 75°, then the measure of ∠CAQ is A P D 75° B

C Q

1. 4. 74.

2. 5.

25° Data insufficient

3.

15°

A conical vessel of radius 6 cm and height 8 cm is completely filled with water. A sphere of maximum size is lowered into water such that it completely submerged. The ratio of water overflowed to the water that remains in cone is 1.

75.

30° 35°

3 8

2.

3 5

2 5

3.

4.

5 3

5.

None of these

How many points with integral coordinate lie on or interior to the region bounded by x2 + y2

25 and x + y

1.

5.

131313

7

2.

8

3.

9

A5

4.

10

5?

11

A