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    Program Aptitude Test (PAT) March 2007

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    SECTION I20 Questions

    30 Marks

    Directions for Questions (1 - 4): Read the passage and answer the questions that follow. [2 mark each]

    L1 Current theories predict that in about five billion years the sun will have consumed so much

    L2 of its hydrogen in thermonuclear reactions that it will have become a star of the type known

    L3 as a red giant. It will have grown to some 250 times its present diameter of 850,000 miles,L4 destroying Mercury, Venus and probably the Earth in the process. Its substance will then be

    L5 only a tenth as dense as air. Then, as it consumes more and more of the available nuclear

    L6 fuel, the bloated Sun will contract until its diameter is a mere one-hundred of what its is

    L7 now; it will have become a white dwarf. The electrons of its atoms will have become packed

    L8 together so tightly that further contraction will be impossible. By this time the Suns density

    L9 will be so great that a pingpong ball filled with its substance would have the mass of several

    L10 elephants. It will eventually cool until it reaches its final state as a black dwarf. No

    L11 substance on the Earth has a density remotely approaching the density of a white dwarf, by

    L12 many white dwarfs (and red giants) are observed in the heavens. They are part of the

    L13 evolutionary history of stars such as the Sun. Moreover, observations of these stars tend to

    L14support current theories of stellar evolution. Not all stars, however, can follow this normal

    L15 evolutionary course. Theoretical investigations of stellar structure indicate that a white

    L16 dwarf with a mass more than about 1.4 times the mass of our Sun can not sustain itself

    L17 against further gravitational contraction because the gravitational pull toward the stars

    L18 center is even greater than the effect of the packed electrons. The fate of a star with a massL19 greater than 1.4 times the mass of our Sun differs significantly from that projected for the

    L20 Sun. Such a star would also become a red giant after consuming most of its original

    L21 hydrogen. It would then begin to contract but, unlike our Sun, it would have no stable

    L22 equilibrium state that would enable it to remain as a white dwarf. Because of its extremely

    L23 high temperatures and its great density, the star, or a substantial portion of it, would undergo

    L24 a process that would eventually cause it to explode catastrophically. As such as 90 percent

    L25 of the mass of such exploding stars, called supernovas, could be ejected. Only the collapsed

    L26 core of the start would remain at the center of a rapidly expanding could of gas. The core is

    L27 much too small and compressed to form a white dwarf; it can find equilibrium only as a

    L28 neutron star, small in size but extremely dense, with such a high surface temperature that it

    L29 would emit X-rays in profusion.

    Question 1: It can be inferred that Mercury, Venus and Earth will be destroyed by the Sun in about five billion

    years primarily because the Sun willOptions : (a) have expanded greatly (b) no longer emit electrons

    (c) generate red light rather than white light (d) have become a supernova

    Question 2: Which of the following limits the gravitational contraction of a white dwarf?

    Options : (a) Its original diameter (b) Its original state of equilibrium

    (c) Its mass (d) The amount of hydrogen it contains

    Question 3: Which of the following sequences correctly describes the possible evolutionary history of a starwhose mass is less than 1.4 times the mass of the Sun?

    Options : (a) Sun, supernova, white dwarf (b) Red giant, white dwarf, black dwarf

    (c) Supernova, white dwarf, neutron star (d) Red giant, white dwarf, supernova

    Question 4: Which of the following properties is most likely to prevent a star from remaining a white dwarf?

    Options : (a) An original mass one and one-half times greater

    than that of the Sun

    (b) A lack of helium in its original nuclear fuel

    (c) An extremely high temperature (d) An extremely low density

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    Directions for Questions (5-14) [1 mark each]

    In question 5-14, you will find a related pair of words or phrases followed by four lettered pairs of words or phrases. Selectthe lettered pair that best expresses a relationship similar to that expressed in the original pair.

    Question: 5 LICENSE : DRIVE

    Options : (a) warrant : search (b) certificate : save

    (c) title : publish (d) lease : buy

    Question: 6 COMPEL : THREATS

    Options : (a) coax : blandishments (b) amuse : platitudes

    (c) deter : tiding (d) laud : insults

    Question : 7 RHETORIC : ORATOR

    Options : (a) tractor : farmer. (b) electron : physicist.

    (c) justice : lawyer (d) baggage : immigrant

    Question : 8 SPARK : CONFLAGRATION

    Options : (a) oil : water (b) bolt : lighting

    (c) tide : ocean (d) trickle : torrent

    Question : 9 SHRUG : INDIFFERENCE

    Options : (a) nod : assent (b) glance : beneficence

    (c) shudder : rudeness (d) wink : mystification

    Question : 10 INTERVIEW : JOBOptions : (a) audition : role (b) promotion : raise

    (c) birth : parent (d) class : teacher

    Question : 11 GRIMACE : FACE

    Options : (a)jerk : thumb (b) frown : brow

    (c) menace : forefinger (d) smile : lips

    Question : 12 TROPHY : VICTORY

    Options : (a) gift : friend (b) compensation : success

    (c) reward : winner (d) remuneration : work

    Question : 13 REPARATION : LOSER

    Options : (a) penalty : delay (b) fine : offender

    (c) punishment : criminal (d) penalty : trespassing

    Question : 14 EARTH : MOON

    Options : (a) orbit : planet (b) satellite : communication

    (c) planet : satellite (d) Mars : Sun

    Directions for Questions (15 20): [2 marks each]Select the choice that is most parallel to the key word pair. Circle the letter that appears before your answer.

    Question : 15 Hair : Baldness : :

    Options : (a) wig : head (b) egg : eggshell

    (c) rain : drought (d) skin : scar

    Question : 16 Money : Avarice : :

    Options : (a) finance : creed (b) property : insolence

    (c) dollar sign : capitalism (d) food : voracity

    Question : 17 Flask : Bottle : :

    Options : (a) whiskey : food (b) metal : glass

    (c) pamphlet : book (d) quart : pint

    Question : 18 Scythe : Death : :

    Options : (a) fall : winter (b) knife : murder

    (c) arrow : love (d) harvest : crops

    Question : 19 Carnivore : Animals : :

    Options : (a) omnivore : omelets (b) vegetarian : vegetables

    (c) trace : minerals (d) herbivore : healthy

    Question : 20 Ingenuous : Ingenious : :

    Options : (a) herb : dull (b) bob : cruel

    (c) frank : clever (d) peripatetic : ambulatory

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    SECTION II10 Questions

    20 Marks[2 mark s each]

    Directions for Questions (21-25)

    There is a figure called "Sample". You have to imagine it in different positions. The sample figure is followed by four figures,

    which you need to mark as S or R. S = Same, if it resembles the turned-around position of the Sample Figure. R = Reverse, if

    it resembles the turned-over position of the Sample figure. Select the right combination of positions of the 4 pictures bycomparing them against the Sample.

    Questions 21 :

    Options : (a) RSSR (b) RSRS(c) RRRS (d) RRSS

    Questions 22 :

    Options : (a) SSRS (b) SRRS(c) SRRS (d) SRSR

    Questions 23 :

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    Options : (a) SSRR (b) RSSS(c) RRSS (d) RRSR

    Questions 24 :

    Options : (a) SSRR (b) RSSS(c) RRSS (d) RRSR

    Questions 25:

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    Options : (a) RSRS (b) RSSR(c) RRSR (d) SRSR

    Directions for Questions (26 - 30): In each of the following questions, there is a paragraph followed by an argument or aquestion and four conclusions marked as (a), (b), (c) and (d). You have to choose one of them as your answer to the questionor the argument. [2 mark s each]

    Questions 26: Property taxes are typically set at a flat rate per $1,000 of officially assessed value. reassessmentsshould be frequent in order to remove distortions that arise when property values change atdifferential rates. In practice, however, reassessments typically occur when they benefit thegovernment that is, when their effect is to increase total tax revenue.

    if the statements above are true, which of the following describes a situation in which areassessment should occur but is unlikely to do so?

    Options: (a) Property values have risen sharply and uniformly.

    (b) Property values have all risen some very sharply, some less so.

    (c) Property values have for the most part risen sharply; yet some have dropped slightly

    (d) Property values have for the most part dropped significantly; yet some have risen slightly.

    Questions 27: Transnational cooperation among corporations is experiencing a modest renaissance among Unitedstates firms, even though projects undertaken by two or more corporations under a collaborativeagreement are less profitable than projects undertaken by a single corporation. The advantage oftransnational cooperation is that such joint international projects may allow United State firms to winforeign contracts that they would not otherwise be able to win.

    which of the following is information provided by the passage above

    Options: (a) Transnational cooperation involves projects too big for a single corporation to handle.

    (b) Transnational cooperation results in a pooling of resources leading to high-quality performance.

    (c) Transnational cooperation has in the past been both more common and less common than it is nowamong United States firms.

    (d) Joint projects between United States and foreign corporations are not profitable enough to be worthundertaking.

    Questions 28: Treatment for hypertension forestalls certain medical expenses by preventing strokes and heartdisease. Yet any money so saved amounts to only one-fourth of the expenditures required to treatthe hypertensive population. Therefore, there is no economic justification for preventive treatment forhypertension.

    Which of the following, if true, is most damaging to the conclusion above?

    Options: (a) The many fatal stokes and heart attacks resulting from untreated hypertensions cause insignificantmedical expenditures but large economic losses of other sorts.

    (b) The cost, per patient, of preventive treatment for hypertension would remain constant even if suchtreatment were instituted on a large scale.

    (c)In matters of health care, economic considerations should ideally not be dominant.

    (d) Effective prevention presupposes early diagnoses are costly.

    Questions 29: A compelling optical illusion called the illusion of velocity and size makes objects appear to bemoving more slowly the larger the objects are. Therefore, a motorists estimate of the time availablefor crossing a highway with a small car approaching is bound to be lower than it would be with alarge truck approaching.

    The conclusion above would be more properly drawn if it were made clear that the

    Options: (a) trucks speed is assumed to be lower than the cars

    (b) Trucks speed is assumed to be the same as the cars

    (c) Trucks speed is assumed to be higher than the cars

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    (d) Motorists estimate of time available is assumed to be more accurate with cars approaching than withtrucks approaching

    Questions 30: The technological conservatism of bicycle manufacturers is a reflection of the kinds of demand theyare trying to meet. The only cyclists seriously interested in innovation and willing to pay for it arebicycle racers. Therefore, innovation in bicycle technology is limited by what authorities will acceptas standard for purposes of competition in bicycle races.

    Which of the following is an assumption made in drawing the conclusion above?

    Options: (a) The market for cheap, traditional bicycles cannot expand unless the market for high performancecompetition bicycles expands.

    (b) High-performance bicycles are likely to be improved more as a result of technological innovationsdeveloped in small workshops than as a result of technological innovations, developed in majormanufacturing concerns.

    (c) Bicycle racers do not generate a strong demand for innovations that fall outside what is officiallyrecognized as standard for purposes of competition.

    (d) The technological conservatism of bicycle manufacturers results primarily form their desire tomanufacture a product that can be sold without being altered to suit different national markets.

    .

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    SECTION III20 Questions

    35 MarksDirections for Questions (31-42): Choose the correct answer for the questions given below. [2 marks each]

    Question 31:The remainder, when

    23232315 is divided by 19, is

    Options : (a) 4 (b) 15

    (c) 0 (d) 18

    Question 32:Suppose n is an integer such that the sum of the digits of n is 2, and

    11101010 n . The number of different

    values for n is

    Options : (a) 11 (b) 10

    (c) 9 (d) 8

    Question 33: N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standingnext to each other, sings a twominute song after the other. If the total time taken for singing is 28 minutes, whatis N?

    Options : (a) 5 (b) 7

    (c) 9 (d) none of these

    Question 34: If the sum of the first 11 terms of an arithmetic progression equals the sum of the first 19 terms, then what is thesum of the first 30 terms?

    Options : (a) 0 (b) 1

    (c) 1 (d) 29/ 16.

    Question 35: If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15km/hr, he will arrive atthe same place at 11 a.m. At what speed must he cycle to get there at noon?

    Options : (a) 11km/hr (b) 12km/hr

    (c) 13km/hr (d) 14km/hr

    Question 36: On January 1, 2004 two new societies S1 and S2 are formed, each with n members. On the first day of eachsubsequent month, S1 adds b members while S2 multiples its current number of members by a constant factorr.Both the societies have the same number of members onJuly 2, 2004. Ifb = 10.5n, what is the value ofr?

    Options : (a) 4 (b) 3

    (c) 2 (d) 1/2

    Question 37: A new flag is to be designed with six vertical stripes using some or all of the coloursyellow, green, blue and red.The number of ways this can be done such that no two adjacent stripes have the same colour is

    Options : (a) 12 81 (b) 16 192

    (c) 20 125 (d) 24 216

    Question 38: Using only 2, 5, 10, 25 and 50 paise coins, what will be the minimum number of coins required to pay exactly 78paise, 69 paise and Rs. 1.01 to three different persons?

    Options : (a) 19 (b) 20

    (c) 17 (d) 18

    Question 39: There are 12 towns grouped into four zones with three towns per zone. It is intended to connect the town withtelephone lines such that every two towns are connected with three direct lines if they belong to the same zone,and with only one direct line otherwise. How many direct telephone lines are required?

    Options : (a) 72 (b) 90

    (c) 96 (d) 144

    Question 40: An intelligence agency forms a code of two distinct digits selected from 0, 1, 2, 9 such that the first digit of thecode is non zero. The code, handwritten on a slip, can however potentially create confusion, when read upsideside for example, the code 91 may appear as 16. How many codes are there for which no such confusion canarise?

    (a) 80 (b) 78

    (c) 71 (d) 69

    Options :

    Question 41: At the end of year 1998, a shepherd bought nine dozen goats. Henceforth, every year he added p% of the goatsat the beginning of the year and sold q% of the goats at the end of the pear where p > 0 and q > 0. If shepherdhad nine dozen goats at the end of the year 2002, after making the sales for that year, which of the following istrue?

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    Options : (a) p = q (b) p < q

    (c) p > q (d) p = q/2

    Question 42: A boy finds the average of 10 positive integers. Each integer contains two digits. By mistake, the boyinterchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previousone. What was the difference of the two digits a and b?

    Options : (a) 4 (b) 2

    (c) 6 (d) 8

    DIRECTIONS for questions 43 to 47: [1 mark each]Each question is followed by two statements, I and II.

    Answer each question using the following instructions:

    Choose [a]if the question can be answered by using one of the statements alone, but cannot be answered using the other statementalone.

    Choose [b] if the question can be answered by using either statement alone.

    Choose [c] if the question can be answered using both statements together, but cannot be answered using either statement alone.

    Choose [d] if the question cannot be answered even by using both statements together.

    Question 43: Are the two triangles ABC and XYZ congruent?I. the three angles of one of the triangle are equal to the three angles respectively of the secondtriangle.II. triangle ABC has two angles and one side equal to two angles and one side of the triangle XYZ

    Options : (a) [a] (b) [b]

    (c) [c] (d) [d]

    Question 44: What is the length of the hypotenuse AC in right angled triangle ABC?I. length of BD is 6 cm where D is the midpoint of AC.II. length of BC is 8 cm.

    Options : (a) [a] (b) [b]

    (c) [c] (d) [d]

    Question 45:How many red balls are there in a box containing red and black balls?I. the probability of picking up two red balls from the box is 3/14.II. there are a total of 21 balls in the box.

    Options : (a) [a] (b) [b]

    (c) [c] (d) [d]

    Question 46: What is the value of x?I. x is a prime number.II. x is a two digit number and is greater than ninety five.

    Options : (a) [a] (b) [b]

    (c) [c] (d) [d]

    Question 47: Is the price of 8 pencils greater than the price of 6 erasers?I. the price of 5 pencils is less than the price of 3 erasers.II. the price of 16 pencils is greater than the price of 12 erasers.

    Options : (a) [a] (b) [b]

    (c) [c] (d) [d]

    Directions for Questions (48-50):A professor keeps data on students tabulated by performance and gender of the students. Thedata is kept on a computer disk, but unfortunately some of it is lost because of a virus. Only the following could be recovered.

    [2 marks each]

    PerformanceTotal

    Average Good Excellent

    Male 10

    Female 32

    Total 30

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    Panic buttons were pressed but to no avail. An expert committee was formed which decided that the following facts wereself evident.

    (a) half the students were either excellent or good(b) 40% of the students were female(c) one third of the male students were average.

    Question 48: How many students are both female and excellent?

    Options : (a) 0 (b) 8

    (c) ) 16 (d) 32

    Question 49: What proportion of female students are good?

    Options : (a) 0 (b) 0.25

    (c) 0.5 (d) 1.0

    Question 50: Among average students, what is the ratio of male to female?

    Options : (a) 1 : 2 (b) 2 : 1

    (c) 3 : 2 (d) 2 : 3

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    SECTION IV10 Questions

    15 Marks

    Directions for Questions (51 55) [1 mark each]

    All the options at the end of each question are possible, but ONE of them is the WORST. Identify the worst option in thecontext of a modern working professional.

    Question 51: In a financial center which provides auditing services to other companies, accounts audited by an employeis cross checked by his seniors at three different levels as a result of which lots of time is wasted before theaccounts are actually handed over to the customer. Thus in order to prevent this loss of time you would:

    Options : (a) Reduce the levels from three to one for beingcross checked.

    (b) After the employee has finished auditing theaccounts, you would not cross check them and handthem over to the client.

    (c) Appoint a supervisor to the employee who

    would supervise his work from the time he begins

    working on them.

    (d) Computerize the whole process of auditing wherethe accounts could be checked at different levels atthe same time

    Question 52: A company has maintained large inventory of its raw material, which is perishable in nature. Butdue to low demand in the market for its product the production has been far below than expected.As a result there are large stocks of raw material which remain unused and at the same timegetting spoilt. Thus in order to manage this you would:

    Options : (a Sell excess of raw material in the market. (b) Use the raw material in further production of theproduct and later stock the product

    (c) Leave the stocks of raw material as it is and waitfor the market demand to pick up for the product.

    (d) Provide for better facilities for storing that rawmaterial so that it can be retained for longer period.

    Question 53: You are given the responsibility of assessing the work done by your subordinates. On what basiswould you assess their work such that it encourages them remain focussed on the completion ofthe task? You would:

    Options : (a) Assess on the basis whether task allotted hasbeen accomplished on time or not.

    (b) Compare the work of one subordinate withanother.

    (c) Compare the work of subordinates to theirprevious performance.

    (d)Assess whether the desired results have beenachieved or not.

    Question 54: In an organization the employees need to be continuously supervised and motivated to deliver results. Inorder to ensure that the employees continue to work towards the goal you would:

    Options : a) Reward employees for the accomplishments. (b) Continuously review the procedures used by theemployees.

    (c) Regularly hold meetings with the employees to

    encourage them to perform better.

    (d) Compare their performance with others tomotivate them to perform better.

    Question 55: A team may comprise of Individuals who may be more hardworking & demanding than the others present ithe team. Thus in order to maintain harmony in the team you would:

    Options : (a) humiliate those who are not performing so well. (b) Provide counseling or motivate under-performersto do better.

    (c) Compliment good performers in front of

    colleagues, which would inspire the rest to do work

    as hard.

    (d) Make the aggressive ones aware that noteveryone work at the same pace or level as theirsso they need to strike a balance.

    Directions for Questions (56 58) [2 marks each]

    In each of the questions, there is a paragraph followed by four conclusions marked as (1), (2), (3), and (4). You have to rankthe conclusions in the ORDER OF YOUR PREFERENCE and then choose the option that matches your preference list.

    Question 56: A company has earned substantial amount of profits from a particular deal. You as a manager are asked tochannelise these profits. You as a manager would:

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    Conclusions : (1) Reinvest the profits earned. (2) Use it for better infrastructural facility of yourcompany

    (3) Distribute it among workers as incentive (4) Leave it as idle money.

    Options : (a) 3,2,1,4 (b) 1,2,3,4

    (c) 1,4,3,2 (d) 1,3,2,4

    Question 57: You want to purchase a particular commodity in future but you do not have enough funds topurchase that commodity. Then you would:

    Conclusions : 1.Cut down on youre expenses and start saving. 2. Invest the funds you currently have in a proposalwhere the returns on it would be sufficient enoughfor you to make the purchase.

    3. Wait for the time when you would want to makethe purchase and make your decision on purchasedepending on amount you have at that time.

    4. Drop the idea of purchasing that commodity.

    Options : (a) 3,2,1,4 (b) 4,3,2,1

    (c) 1,4,3,2 (d) 2,1,3,4

    Question 58: You are in a team with two individuals who are difficult. Youve been assigned a task and the work hasbeen divided amongst the three of you. There is a constant conflict in opinion amongst the team members.You would

    Conclusions : 1 Request for change of your team 2. Do the entire task your self, which may includethe work, assigned to your colleagues.

    3. You would try to bring harmony amongst yourselves and work as a group to accomplish the task.

    4. Do only the portions of the work assigned to youirrespective of whether the whole task has been

    accomplished or not.

    Options : (a) 3,2,1,4 (b) 4,3,2,1

    (c) 1,4,3,2 (d) 1,3,2,4

    Directions for Questions (59-60)[2 marks each

    Choose the MOST correct answer for the questions given below.

    Question 59: Your friend has brought a proposal in front of you where he induces you to invest in a field about which youdo not have any knowledge. Then you would:

    Options : (a) Rely on your friend and invest in that proposal. (b) Do not invest in that proposal.

    (c) Look for an advice from specialists in that fieldand then invest.

    (d) Make an in-dept study of the proposal and theninvest.

    Question 60: You have worked on a particular project but the result has not been up to the mark expected. Then what

    strategy would you adopt in your next project to ensure that the desired result is achieved? You would:

    Options : (a) Work on similar kinds of projects so that you gain

    expertise working on them.

    (b) . Hire someone else to do the project for you.

    (c) Monitor over each and every activity of the

    project so that at the end the desired result is

    achieved

    (d) Not make any changes in the strategy and try

    and achieve result with the same as done before.