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MBA Entrance www.pfindia.com Mini Mock CAT-07 | 1 ® ® SECTION-I No. of Questions = 20 1. In a string of 37 pearls, the middle pearl is the largest and the most expensive of all. The others are so arranged that starting from one of the ends, each successive pearl is worth Rs. 100 more than the preceding one, right upto the big pearl. From the other end of the pearl, the pearls successively increase in value by Rs. 150 upto the largest pearl. The whole string is worth Rs. 86750. What is the difference in values of the 9 th pearl from either end ? 1. Rs. 550 2. Rs. 1000 3. Rs. 500 4. Rs. 450 2. A circle is touched internally at P by another circle whose diameter is half that of the first circle. PR is any chord of the larger circle, and PR cuts the smaller circle again at Q. Then which of the following statements is true ? 1. No definite relation exists 2. 1 QR PQ 3. 1 QR PQ 4. 1 QR PQ 3. When an end link from a chain of links is cut opened, you get two chains, one with a single link and one with the others. When a link from the middle is cut opened, you get three chains: one a single link, and two other chains on either side. A traveler having no money, but owning a gold chain containing 7 links is allowed to stay at a hotel on the condition that he pays one link per day of his stay. The traveler is to pay daily, but may take change in the form of links previously paid. If he plans to stay for 7 days, what is the least number of links that must be cut opened of the chain ? 1. 3 2. 2 3. 1 4. 6 4. Let N = 11 10 – 1. Then N is divisible by i. 12 ii. 100 iii. 122 iv. 1000 1. i and ii only 2. i and iii only 3. ii and iv only 4. i, ii and iv only 5. The cost of production in a factory has a fixed component and an amount that varies directly with the number of units produced. The units are sold at 20% profit. When 250 units are produced, the price is Rs.120, and the price drops to Rs.96 when the production is doubled. What will the price be when 1000 units are produced? 1. Rs. 84 2. Rs. 86.80 3. Rs. 80 4. Rs. 70 6. There is a square park with sides 20 m, and there are 2 diagonal paths that are 2 m wide. Find the area of the park without the paths. 1. 320 m 2 2. 322 m 2 3. 324 m 2 4. 326 m 2

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Common Admission Test - Mini mock test - applicable for CAT aspirants

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MBA Entrance www.pfindia.com Mini Mock CAT-07 | 1

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SECTION-INo. of Questions = 20

1. In a string of 37 pearls, the middle pearl is the largest and the most expensive of all. The others are so arranged that startingfrom one of the ends, each successive pearl is worth Rs. 100 more than the preceding one, right upto the big pearl. From theother end of the pearl, the pearls successively increase in value by Rs. 150 upto the largest pearl. The whole string is worth Rs.86750. What is the difference in values of the 9th pearl from either end ?

1. Rs. 550 2. Rs. 1000

3. Rs. 500 4. Rs. 450

2. A circle is touched internally at P by another circle whose diameter is half that of the first circle. PR is any chord of the largercircle, and PR cuts the smaller circle again at Q. Then which of the following statements is true ?

1. No definite relation exists 2. 1QRPQ

3. 1QRPQ

4. 1QRPQ

3. When an end link from a chain of links is cut opened, you get two chains, one with a single link and one with the others. Whena link from the middle is cut opened, you get three chains: one a single link, and two other chains on either side. A travelerhaving no money, but owning a gold chain containing 7 links is allowed to stay at a hotel on the condition that he pays one linkper day of his stay. The traveler is to pay daily, but may take change in the form of links previously paid. If he plans to stay for7 days, what is the least number of links that must be cut opened of the chain ?

1. 3 2. 2 3. 1 4. 6

4. Let N = 1110 – 1. Then N is divisible by

i. 12 ii. 100 iii. 122 iv. 1000

1. i and ii only 2. i and iii only 3. ii and iv only 4. i, ii and iv only

5. The cost of production in a factory has a fixed component and an amount that varies directly with the number of units produced.The units are sold at 20% profit. When 250 units are produced, the price is Rs.120, and the price drops to Rs.96 when theproduction is doubled. What will the price be when 1000 units are produced?

1. Rs. 84 2. Rs. 86.80

3. Rs. 80 4. Rs. 70

6. There is a square park with sides 20 m, and there are 2 diagonal paths that are 2 m wide. Find the area of the park withoutthe paths.

1. 320 m2 2. 322 m2

3. 324 m2 4. 326 m2

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7. If ba 1 = c

b 1 = 1, find abc +

a

c 1

1. –1 2. 2 3. 1 4. 0

DIRECTIONS for questions 8 and 9 : These questions are based on the following data.

A and B run a race in a circular lawn of radius 63m. Both start at a point P on the circumference of the lawn. A runs along thecircumference and B runs along the diameter. They meet again at P. If A and B run along the circumference in opposite directionsfrom P, they will meet in 2 minutes 45 seconds.

8. What is the speed of B?

1. 52m/min 2. 56m/min

3. 55m/min 4. 60m/min

9. Q is the point diametrically opposite P and B is at Q while A is at P. If they run in opposite directions along the diameter,where do they meet?

1. 17 m from P 2. 49 m from Q

3. 17 m from Q 4. 49 m from P

10. The number of roots of the equation 121

12

xxx is

1. 1 2. 2

3. 0 4. infinitely many

DIRECTIONS for questions 11 to 13 : These questions are based on the following data.

A team of N workers are selected to do a certain job. Each worker can individually complete the job in 10 days. The team followsthe following procedure for any job: The work is started by one person on the first day. Then, from the next day onwards, till thework is completed one new person gets in to do the job. Each day, the work starts at 9 a.m. and stops at 5:30 p.m. with a 30-minutebreak for lunch from 1 p.m. to 1:30 p.m. At whatever stage a worker gets in, he does not leave until the job is over.

Note : Treat each question in this set independent of the other questions in the set.

11. In how many days will the work be completed?

1. 5 2. 6 3. 4 4. None of these

12. If the entire team works only at 50% efficiency, and the worker who is supposed to join on the last day does not report forwork, then the work is completed

1. exactly at the end of the 6th day.

2. before lunch on the 6th day.

3. after lunch but before the end of the 6th day.

4. before lunch on the 7th day.

13. If the team takes up a task which is twice as time-consuming as the original work, then at what time on the concluding daywill the work be completed?

1. 3:40 p.m. 2. 4:20 p.m. 3. 5:30 p.m. 4. 4:10 p.m.

14. If the set of natural number is partitioned as {1}, {2, 3}, {4, 5, 6}, {7, 8, 9, 10} and so on, then the sum of terms in the 50th setis

1. 62525 2. 3125

3. 6252 4. None of these

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15. The sales values of a multinational corporation follow a peculiar pattern due to seasonal demand for their products. Thefirst half of the year always shows a 50% increase over the previous half yearly sales value. The second half of the yearalways shows a 40% decrease over the previous half yearly sales value. If this trend which has been shown in the years2001, 2002 and 2003 continues in 2004, then the decrease in sales value in the second half of 2004 is :

1. Greater than the sales value at the beginning of 2001.

2. Greater than the increase in the sales value in the first half of 2001.

3. Less than the decrease in sales in the second half of 2003.

4. Less than the increase in sales in the first half of 2004.

16. An alloy whose value is Rs. ‘a’ per kg is composed of two metals. One of the metals worth Rs. ‘b’ per kg is extracted; thismetal was contained in the alloy with the other metal in the alloy in the ratio x : 1. What is the value of the other metal perkg?

1. x (a – b) 2. x (a – b) + a

3. x (a + b) 4. a (x + 1)

DIRECTIONS for questions 17 to 20 : These questions are based on the following data.

A robot moves on a graph sheet with x and y axes. It is moved by feeding it with a sequence of instructions which are given belowalong with the movements associated to it, where P > 0.

Instruction Movement of Robot

1 UP (P) Go up a distance of P 2 along the line parallel to y = x

2 UP (P) Go up a distance of P 2 along the line parallel to x + y = 0

1 DOWN (P) Go down a distance of P 2 along the line parallel to y = x

2 DOWN (P) Go down a distance of P 2 along the line parallel to x + y = 0

17. The Robot is at (x, y). After receiving the instructions 1UP(2), 2UP(3) and 1DOWN(2), it reaches the point (5, 5). The valueof (x, y) is

1. (1, 4) 2. (2, 8)

3. (8, 2) 4. (4, 8)

18. If the Robot is at (5, 3), what is the minimum number of instructions needed to bring it at (10, -2)

1. 1 2. 2

3. 3 4. 4

19. The Robot is at (6, 5). After receiving the instructions 1 DOWN(3), 1UP(3), 2 DOWN(5), the Robot will be at

1. (1, 5) 2. (11,0)

3. (6, 10) 4. (1, 10)

20. If the Robot is at (x, y), then after receiving the instructions 1 DOWN (3), 2 UP (2), 1 UP (3) and 2 DOWN (2) it comes to thepoint (x1, y1). Then which of the following statements is true?

1. x1 = x + 5 ; y1 = y + 5 2. x1 = x + 1; y1 = y + 1

3. x1 = x ; y1 = y 4. x1 = x + 3 ; y1 = y + 1

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SECTION-IINo. of Questions = 20

DIRECTIONS for questions 21 to 28 : Each of the passages given below is followed by questions. Choose the best answer toeach question.

PASSAGE-1

There are many occasions in our social lives when we wish to hide our true feelings but somehow fail to do so. The bereavedmother who is trying to conceal her sadness from her children is said to be ‘putting on a brave face’, as if she were wearing a maskof false expressions over a face of true ones. When we fail to deceive in this way, how does the information about our true feelingsleak out ? What is the source of non-verbal leakage and how can we tell if someone is lying ?

The case of the bereaved mother is one where the deception fails because there is no great pressure for it to succeed. In fact,there is a positive advantage for it failing to deceive. If the bereaved mother were too successful in concealing her grief, she wouldbe criticised for a lack of feeling. Equally, if she failed to display some visible- inhibition of her grief she would be said to lackcourage and self-control. Her ‘brave face’ is therefore an example of pseudo-deception, where the deceiver is happy to be foundout, Either consciously or unconsciously, she wants her forced smile to be read as forced.

But what happens if the pressure to deceive is greater ? The defendant in a murder trial who knows he is guilty but desperatelyprotests his innocence is under enormous pressure to succeed with his’ deception. He lies with his verbal statements and mustmatch his words with equally convincing body actions. How does he do it ? He can control his words, but can he control his body?

The answer is that he can control some parts of his body better than others. The easy parts to discipline are those whose actionshe is most aware of in ordinary, day-to-day signalling. He knows most about his smiles and frowns - he sees them occasionally ina mirror - and his facial expressions will come out at the top of his self-awareness list. So he can lie best with his face.

His general body postures can give some valuable, clues because he is not always fully conscious of the degree of stiffness of hisstance or the degree of slump or alertness. But the value of these body postures is greatly reduced by social rules that requirecertain rather stereotyped poses in specific contexts. A murder trial defendant, for instance, is traditionally expected to sit or standrather stiffly, whether guilty or innocent, and this can easily act as a postural ‘signal-blunter’.

Hand movements and postures are more useful clues to deception because our murderer will be less aware of them, and there areusually no set rules to blunt his manual expressiveness. Of course, if he were undergoing military interrogation, his hands wouldbe signal-blunted by the strict code of military etiquette: standing at attention makes lying easier for a soldier than for a civilian. Butnormally there will be gesticulations, and these should be carefully studied for deception clues.

Finally, his legs and feet are of-particular interest ‘ because this is the part of the body where he is least aware of what he is doing.Frequently, however, the actions of this lower region of the body are obscured from view, so-that, in practice, their usefulness isseverely limited. Furniture permitting, though, they are a vital give away area, which is one of the reasons why people feel morecomfortable during interviews and business negotiations when sitting behind the lower-body screen of a desk or table. This fact-is sometimes exploited in competitive interviews by placing the candidates chair alone in the centre of the room so that the bodyof each ‘victim’ is fully exposed to view.

To sum up, then, the best way to deceive is to restrict your signals to-words and facial expressions. The most efficient means ofdoing this is either to conceal the rest of your body or keep it so busy with a complicated mechanical procedure that all its visualdeception clues are stifled by the demand for physical dexterity. In other words, if you have to lie, do it over the telephone or whenpeering over a wall; alternatively, when threading a needle or maneuvering a car into a parking space. If much of you is visible andyou have no mechanical task to perform, then to succeed with your lie you must try to involve the whole of your body in the act ofdeception, not just your voice and face.

21. Which of the following ideas communicated by the passage is also closest to the central idea of the passage:

1. Why barriers against unwanted disclosure are needed ?

2. How to erect barriers against unwanted disclosure.

3. Can we erect barriers against unwanted disclosure

4. All of the above.

22. According to the passage, which of the following statements is definitely true ?

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1. Bravado is always desirable. 2. Pretensions are always undesirable.

3. Bravery is sometimes desirable 4. Bravado is not always undesirable

23. The author primarily wishes to address which of the following groups of people ?

1. professional lie detectors.

2. people with the need to wear social masks.

3. people who are studying the behaviour of all humanoids.

4. All of the above.

24. The author suggests that the likelihood of deception being successful is highest when

1. The deceiver conceals his lower body actions.

2. The body expressions are general and signals are verbal

3. Signals are emitted in the context of an unrelated physical activity.

4. The deceiver is conscious of all the sources of non verbal leakages, and is on guard against them.

PASSAGE-2

Fashion has come to acquire a prominent position in the nitty-gritties of our life as it stands today. The old proverb, ‘Your face isyour fortune’, now stands modified to sound as ‘Your dress is your fortune’, in order to be in tune with the ambience of our workculture. The reasons are quite apparent, since along with a good and cheerful countenance, a perfectly matched Attire is extremelyimportant. Fashion also offers the best model of expression of an individual’s cultural and social thinking. It is fashion alone whichadds air, elegance and elan to an individual’s person and manner.

A major segment of the population is involved in creating, innovating, marketing, teaching, popularizing and,. redeeming fashion.The present fashion scene offers a wide range of intriguing collection, bold and unique to each designer. And with the latestdevelopments in the field of information technology (IT), a new dimension has been added to this creative field - The ComputerizedHi-Fashion Dress Designing.

Imagine a situation in which a certain Ms. X and Ms. Y sit down to design an array of geometric patterns for a crushed silk two pieceoutfit. The modus operandi for the two ladies runs as follows: Ms. X boots her system very pompously (pardon her for her vanity;she is helpless due to habit), inserts the floppy, loads the required software (call it XXXica for the time being), loads the mouse andbegins immediately (she takes care to be ostentatious), On the other hand, Ms. Y. carefully pins up a cartage sheet on the drawingboard (feels disgusted to find only a single drawing pin), sharpens for 2B, fixes up an eraser and a scale and then sits down to draw(with a heavy heart....). Ms. X clicks the mouse at desired points on the monitor, uses a few command options here and there andfinally produces a design which looks fairly neat and artistic and highly exquisite by all standards. Ms. Y is still in the middle for herdesign and feels that she might have to sit up for another 4 - 5 hours for its completion. This instance only goes on to prove theefficiency, accuracy and alacrity of Ms X’s system, “the computer.”

Computer is that invention of IT which has taken the world in its stride, by its all catalyzing impact. Its utility has long been felt infields like business, engineering, transport, communication, banks,. medicine and household. And this remarkable machine hasnow entered into the domain of fashion industry too and added new dimensions and shades to the industry with its ever wideningcapabilities, For time management, better design communication channels, accurate patterns and draft in education of sampling,computer has displayed effectiveness as efficient production tool. A CAD system allows the designer complete hands on controlof the design process. The computer uses a high definition video screen, which, reproduces colours addictively by creatingmixtures of three primaries (red, green and blue) and by varying their intensities. A computer can reproduce and record about 16million colours on the monitor, well beyond what is colours in combination and even reproduce the different effect of lighting andtexture.

A basic design is drawn with a pen plotter, and the computer is then directed to fill in or modify colours according to color inpatterns, from stripes or plaids to figurative designs, in fabrics, such as, wool tweed or cotton twill, under different lighting conditions- natural, incandescent, or fluorescent, with different dyes, with different textures adding three dimensional depth to color and ondifferent types of clothing showing how the finalized product will look without having the need to assemble it. High resolutionprinters can translate samples to prints so realistic that they are often mistaken for fabric swatches.

The CAM system translates the designs into the manufactured objects. Computers are linked to automated colourant mixing,dispensing and dyeing systems equipment. Similarly, colouring can be done by high speed laser printing or dyeing machinesproviding comparable benefits in cost and, flexibility. Some designers have expressed disappointment with CAD systems,because the colours on the screen are produced in light while the results are in pigments or dyes. A color that is bright and

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exciting when lit up on the screen may, well be dull and dismal when actually manufactured on cloth. In the same way, colorcombinations that seem satisfactory on the screen may not be so in real life. The human hand and eye are needed to achievethe desired results. Among the main advantage of CAD/CAM systems are their speed, flexibility and cost effectiveness, whichallow designers to increase experimentation, and manufacturers to keep pace with rapid changes in fashion colours. Computercontrolled manufacturing makes it possible to dye or weave short runs, instead of the thousands of yard needed in the past tocover set up costs. In addition, all matching can be done by the computer.

For any textile unit, workshop or boutique intending to computerize their workplace, there are three steps of primary importanceto be considered while deciding for the right kind of system: (a) Specific software; (b) Basic system, which consists of monitor,keyboard and CPU and (c) Peripherals or attachments which heighten the performance of the system. The DOS, Disk OperatingSystem, and Windows environment, which are the basic operating systems of a computer, offer software applications like CorelDraw, Illustrator, Fractal Design Painter, Paint Brush, Mannequin, 3-d studio, animator, ProPainter, Adobe Photoshop etc. Theseapplications offer various editing tools in a range of shapes animation modules, presentation graphics and image processingmodules in which an image can be created or a photograph scanned with a special attachment called the scanner, and the imagecan be modified, effects added or diminished and colours changed. Also offered are a number of standard effects and textures likepen and ink drawing, water colours, oil paints, charcoal, mosaic etc. and variations of these effects. Fashion designers can usethese applications to control the density of a particular effect and color tones. The, Manequin application offers an animated, 3dimensional human figure which enables dress designers to fit a design on to the form and make necessary changes before actualproduction. The designer can effect changes in styles of cuffs, collars and sleeves, which are stored in the data bank, add colorand embroidery and store the final result for future reference. Entire catalogues can be designed without actually stitching thegarments.

The new technology of computers is addressing a wide range of problems in garment and textile industry and humanizingmanufacturing techniques. Capable of performing logical operations and processing information at high speeds, computer promisesthe greatest leap in fashion technology in the twenty first century.

25. The major aim of this passage is to

1. show the growing use of computers in daily life,

2. show that computers are much better and much more efficient than our hands and eyes and thus result in ourwork being done more effectively.

3. Show how computers can aid the fashion industry and thus play an important role.

4. Show how the world is becoming more fashion oriented.

26. The reason why the colours which seem okay on the computer screen are not really “great” when they are printed on clothbecause:

1. The problem is with the printer because it cannot reproduce all the colours that are seen on a computer screen.

2. The color seems bright and exciting because of the light of the screen but looks dull when printed on cloth.

3. The printing quality is bad and it comes in patches.

4. None of these.

27. Which of the following statements is false according to the passage ?

1. A computer can reproduce any colour in the world.

2. Computers help in diversifying a field.

3. Human hand and eye are necessary to decide what color is right and what is not.

4. None of these.

28. With the help of computers.

1. it is possible to dye or weave long runs

2. catalogues of dresses can be prepared without actually preparing the garments.

3. Complete hands on control of the design process cannot be obtained4. None of these

DIRECTIONS for questions 29 to 32 : For the following questions, the word at the top of the table is used in four different ways,

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numbered 1 to 4. Choose the option in which the usage of word is incorrect or inappropriate.

29. CROSS

1. Rajeev was rather cross at Ramesh.

2. Raman hit an accurate cross to Raghu

3. The victim was caught in a crossfire between the terrorists and the army

4. This lonely dog is a cross between a Collie and a German Shepherd

30. MARK

1. The dogs are always rubbing against the wall and making dirty marks.

2. He did well to get such a good mark

3. He used a rope to mark off a circle

4. When planting seedlings I prefer to mark off the rows in advance.

31. DIVIDE

1. He has done more to divide the Congress than any one else

2. The time had come to cross the great divide between formality and truth.

3. The aim is the divide up the business, give everyone an equal stake in its future.

4. It is said to be a deliberate attempt at creating Hindu-Muslim divide in India.

32. SHADE

1. You should not look directly into sun; you have got to shade your eyes or close them altogether

2. His writing benefits from the shade of his father hovering on his shoulder

3. Lara was a shade fortunate in reaching his first Triple century

4. The recital by Pandit Bhimsen Joshi put every body else’s performance in the shade

DIRECTIONS for questions 33 to 35 : For each of the given passages, choose the most logical continuation and mark theappropriate choice as the correct answer.

33. Poor citizens have little clout with politicians. In some countries the citizenry has only a weak hold on politicians. Even ifthere is a well functioning electoral system, poor people may not be able to influence politicians about public services. Theymay not be well informed about the quality of public services (and politicians know this); they may vote along ethnic or castelines, placing less weight on public services when evaluating politicians; or they may not believe the candidates whopromise better public services – for example, because their term in office is too short to deliver on the promise.

1. And they may vote instead for candidates who provide a promise of a government which is free of corruption.

2. And they may not vote instead for candidates who provide ready cash, personal favours, and jobs.

3. And they may vote instead for candidates who provide ready cash, personal favours, and jobs.

4. And therefore they may not participate in the process of voting at all.

34. Financial sector reform in India has often followed a convoluted path – one step forward, two steps backward. Nowhere isthis more evident than in the context of the development finance institutions (DFIs). Even as the government’s action – asreflected in the withdrawal of concessional long-term funds from the RBI to FIs and approval of ICICI’s reverse merger withits offspring ICICI Bank – seem to suggest the growing irrelevance of DFIs, its words have often been to the contrary.1. The most recent example of this obsession with the financial sector reforms came during the finance ministers

speech, while presenting his interim budget.2. The most recent instance of this schizophrenic attitude to financial sector reform came during the finance ministers

speech while presenting his interim budget.3. One of the earliest times such an attitude was shown by the Government was on display in 1992 when the then

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finance minister presented his introductory budget.4. Therefore the argument that the government shall continue economic reforms doesn’t hold much water.

35. The news that Krishna Raj had died filled me with despair, and this attempt to write about him is mainly to overcome it, forI know how sad he would be to leave us in despair. When I recall how major a role he played in shaping a significant phaseof my life, I am struck by the moral authority he carried. A letter from him put one under strain, of the kind I have felt underno other editor in English. Krishna Raj corresponded and talked with startling modesty which seemed quite unnecessarybut it was not part of any design to persuade. It conveyed a feeling that he knew precisely why what I would write wasnecessary for him to have.1. The authority that he carried struck any one who met him.2. Thus Krishnaraj was able to persuade others to his point of view without being authoritative or highhanded.3. The lack of comfort and proximity reminded anyone of the Gurukul” ,the traditional schools of learning in India.4. The ease and intimacy reminded one of an older time zone of which I have no direct experience; only a vague

impression.

DIRECTIONS for questions 36 to 38 : For the following questions, four sentences are given for representing a particular idea.Which of the following sentences best expresses the idea while following the accepted practices in Usage and Grammar.

36. 1. It displeased the mother that her son had not performed the duties which she had taught him to her satisfaction.

2. It displeased the mother that her son to her satisfaction had not performed the duties which she had taught him.

3. It displeased the mother that her son had not performed to her satisfaction the duties which she had taught him.

4. It displeased the mother that her son had not performed the duties to her satisfaction which she had taught him.

37. 1. He was deprived of not only his chairmanship, but also his membership.

2. Not only he was deprived of his chairmanship but also his membership.

3. He was not only deprived of his chairmanship, but also his membership.

4. He was not only deprived of his chairmanship, but also membership.

38. 1. Acts are often pushed through parliament in spite of opposition with but little modification.

2. With but little modification, Acts are often pushed through parliament in spite of opposition.

3. Acts with but little modification are often pushed through parliament inspite of opposition.

4. Acts are often pushed through parliament with but little modification inspite of opposition.

DIRECTIONS for questions 39 to 40 : In each of the following questions a related pair of words is followed by four pairs of wordsor phrases. Select the pair that best expresses a relationship similar to the one expressed in the question pair.

39. Barge : Vessel

1. Shovel : Implement 2. Book : Anthology

3. Rim : Edge 4. Training : Preparation

40. Doggerel : Poet1. Plagiarism : Composer 2. Doom : Cassandra3. Wine : Vintne

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SECTION-IIINo. of Questions = 20

DIRECTIONS for questions 41 to 44 : Answer these questions on the basis of following information :

The following diagrams are about sales or four leading FMCG companies from 2001 to 2004 in a particular sales territory . Thecompanies are PGL, QTL, RXL, SLL whose products are monitered in 3 segments – Food Products (FP), Home Care Products(HCP), and Personal Care Products (PCP).

The triangular bar graph gives relative distribution of sales among three segments for 2002 as well as for 2003.

100% HCP

P

Q

R

S

100% PCPFP

100%

The bar diagram below shows gross sales (all segments combined) for the four companies from 2001 to 2004.

020406080

100120140160180200220

2001 2002 2003 2004

Rs.

cro

res

PGL QTL RXL SLL

41. What was the amount of sales of QTL from Personal Care Products in 2002 ?

1. Rs 5 crore 2. Rs 10 crore

3. Rs 15 crore 4. None of these

42. If company RXL’s Home Care Products wholly consist of Rose detergent in 1 kg pack and this detergent sold 5 millionpacks in 2003, what was the rupee price of Rose detergent pack ?1. Rs 60 2. Rs 303. Rs 120 4. None of these

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43. What was PGL’s sales in Food Products in 2003 ?

1. Rs 15 crore 2. Rs 20 crore 3. Rs 40 crore 4. Rs 60 crore

44. If the triangular diagram were valid for 2004 sales also and a pie-diagram is drawn representing Food Products sales of thefour companies, then what will be the measure of sector angle representing company RXL ?

1. 30° 2. 60° 3. 90° 4. None of these

DIRECTIONS for questions 45 to 48 : Answer these on the basis of following information :

Four couples joined the City Club recently for socialising and recreation. Among them K, L, M, N are females and P, Q, R, S are males.The club has on after fallowing games : Billiards, Badminton, Squash and Tennis. A couple can choose any three of the four games;however, none of the four couples choose the same combination. It is known that

(i) Neither P nor S is the husband of K

(ii) Badminton was among games chosen by M who is not wife of S

(iii) L as well as S’s wife choose Badminton and Squash

(iv) Both Tennis and Squash were chosen by P’s wife, but Q’s wife chose only one of these

45. Which of the following groups of females does not include Q’s wife as its member ?

1. K, L and M 2. L, M, and N

3. M, N and K 4. N, K and L

46. Identify K’s husband from choices given below ?

1. P 2. Q

3. R 4. Indeterminate

47. Which of the following combinations of games are listed correctly against the lady choosing them ?

I K – Billiards, Tennis, Squash

II L – Tennis, Squash, Badminton

III M– Tennis, Billiards, Badminton

IV V– Billiards, Badminton, Squash

1. I, II, III only 2. II, III, IV only

3. I, II, IV only 4. All of I, II , III and IV

48. Which of the following combination of games is not matched properly with the husband’s name ?

I P – Billiards, Tennis, Squash

II Q – Tennis, Squash, Badminton

III. R – Tennis, Billiards, Badminton

IV S – Billiards, Badminton, Squash

1. I and II only 2. I and III only

3. I, II, and III only 4. II and IV only

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DIRECTIONS for questions 49 to 52 : Answer these on the basis of following information :

The following bar diagram shows the percentage market share of different (8 in all) car manufacturers in highly volatile carmarket of a Latin American country (VZL) during first five years of 21st century.

35

34

32

26

22

28

31

31

30

29

10

8

11

17

11

8

6

6

10

12

7

9

4

7

5

5

3

5

2

4

4

4

8

3

10

3

5

3

5

7

0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100%

2005

2004

2003

2002

2001

A B C D E F G H

$1040 m

$1060 m

$1120 m

$1180 m

$1220 m

Year

The market is dominated by two manufacturers. The size of the market (sales) is indicated at the side for each year in dollars.

49. If you rank the manufacturers in descending order of their sales, how many manufacturers retain their rank throughout thegiven years ?

1. 0 2. 1

3. 2 4. More than 2

50. Manufacturer C had two production units, one of which accounting for 50% of its sales, was acquired by BB, the holdinggroup of B. In addition, BB group also acquired company D. If both acquisitions took place before 2001, between which twoyears has BB group shown maximum increase in sales ? The group does not own any other revenue sources.

1. 2001-02 2. 2002-03

3. 2003-04 4. Indeterminate

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51. The eight manufacturers of VZL have formed an industrial lobbying group, viz., the Association of Car Manufacturers(ACM). The voting rights in ACM are determined by the manufacturer’s sales in the immediately preceding year. Thepresident of the ACM is chosen every year. If representatives of company A and company B locked horns in each of theyears since 2000 for ACM presidency and no other candidate was in fray, A can get its representative elected at most in howmany yearly elections from 2001 to 2005 ? At least 50% votes are required for election. It is given that A failed to garnersupport of more than two of the other manufacturers besides itself in any of the years. (A cannot take B’s support and vice-versa)

1. 1 2. 2 3. 3 4. 4

52. With reference to information in previous question, a manufacturer can get its candidate elected as president garneringsupport of other manufacturers. If manipulative options for a manufacturer is defined as number of ways in which it can getat least 50% votes for getting its candidate elected as president, what is the maximum value of manipulative optionsavailable to A after 2001 in any of the years as per bar chart ?

1. 1 2. 2 3. 3 4. 4

DIRECTIONS for questions 53 to 55 : Answer the questions on the basis of the information given below.

The typical inbox of an e-mail account of a person on a particular day is shown below:

Change PasswordChange Password

Mailbox SizeFolders

Create Message

Folders Number of messages

Inbox 20Draft 0Sent 0Trash 0

Any mail deleted is sent to Trash folder and is automatically cleared from it on the start of the 3rd day. Mailbox size is 100 MB (trashincluded). As soon as the mailbox is 80% full, a system generated mail of size 5MB is sent to the person as a reminder. Mailboxsize occupied at present is 30%. All sent mails are saved in Sent folder and all unsent mails are saved in Draft folder. Mail thatcannot be accommodated in the available free space would bounce immediately.

DAY 1 :10 mails composed, 8 sent, 2 unsent and saved, total size 25 MB.20 mails from friends received, total size 40 MB.10 mails from friends deleted, total size 20 MB.

DAY 2 :8 mails in sent folder deleted.

DAY 3 :Unsent mails sent and deleted from Draft folder.

53. What is the free space at the end of Day 1 ?

1. 5% 2. 0% 3. 20% 4. 25%

54. If the person receives 5 mails of total size 10 MB, after performing the operation stated above on day 2, then how many ofthem will bounce?

1 . All will bounce 2. Two will bounce

3. None will bounce 4. Cannot be determined

55. If the person receive 5 mails of total size 10 MB, after performing the operation stated above on day 3, then how many ofthem will bounce?

1. All will bounce 2. Two will bounce

3. None will bounce 4. Cannot be determined

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DIRECTIONS for questions 56 to 58 : Each question is followed by two statements A and B. Answer each question using thefollowing instructions

Mark 1. if the question can be answered by using one of the statements alone but cannot be answered using the otherstatement alone.

Mark 2. if the question can be answered using either statement alone.

Mark 3. if the question can be answered using both the statements together but cannot be answered using either statementalone

Mark 4. If the question cannot be answered even using both the statements together.

56. There are five vendors A, B, C, D, and E in a row. Which vendor is in the middle?

A. A is to the right of B. B is to the immediate right of D.

B. E is to the right of D, who is on one comer.

57. Three buses - B1, B2, and B3 - are to be parked in the three lanes - L1 , L2 and L3 - one in each lane, such that B1 cannotbe parked in L1, B2 cannot be parked in L2 and B3 cannot be parked in L3. Which bus gets parked in L2?

A. B2 cannot be parked in L1.

B. B2 is parked in L1.

58. There are six apartments 1, 2. 3, 4, 5 and 6, one above the other in the same order. Four persons - A, B, C and D - are livingin them. Also only one person stays in one apartment. In which apartment is C living?

A. B is in an apartment whose number is odd prime number which is not 5. C is in a perfect square which is not

adjacent to B.

B. D, A, B are in prime-numbered apartments and C is not in a perfect square numbered apartment.

DIRECTIONS for questions 59 to 60 : Each question is followed by two statements I and II. Answer each question using thefollowing instructions :

Choose 1 if the question can be answered by using statement I or statement II alone.

Choose 2 if the question can be answered by using either statement alone.

Choose 3 if the question can be answered by using both the statements together, but cannot be answered using eitherstatement alone.

Choose 4 if the question cannot be answered even by using both the statements together.

59. How many sons did the king of Ayodhya have ?

(I) The king had 3 wives and each wife had at least one son.

(II) The youngest wife had twins and one son more than either of the other two wives had.

60. In Korea vs Poland World Cup football match, which team emerged winner (winner team always has a positive goaldifference) ? In football each team has 11 players.

(I) Average number of goals scored by scoring members of Korea is 1 higher than corresponding number forPoland.

(II) All the four forwards and two defenders scored for Korea.