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  • www.jagranjosh.com Solved Common Admission Test(CAT)2001QuestionPaper

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    Setion3Directions for question 101 to 104: Answer thequestions based on thetablegiven below: Thefollowing is atabledescribing garments manufactured based upon thecolor and sizefor eachlay. Therearefour sizes: MMedium, LLarge, XLExtraLargeand XXXExtraExtraLarge. Therearethree colors: Yellow, Red and White.

    LayNumber of Garments

    Yellow Red WhiteLay No. M L XL XXL M L XL XXL M L XL XXL

    1 . 14 14 7 0 0 0 0 0 0 0 0 02. 0 0 0 0 0 0 0 0 42 42 21 03. 20 20 10 0 18 18 9 0 0 0 0 04. 20 20 10 0 0 0 0 0 30 30 15 05. 0 0 0 0 24 24 12 0 30 30 15 06. 22 22 11 0 24 24 12 0 32 32 16 07. 0 24 24 12 0 0 0 0 0 0 0 08. 0 20 20 10 0 2 2 1 0 0 0 09. 0 20 20 10 0 0 0 0 0 22 22 1110 0 0 0 0 0 26 26 13 0 20 20 1011 . 0 22 22 11 0 26 26 13 0 22 22 1112. 0 0 2 2 0 0 0 0 0 0 0 013. 0 0 0 0 0 0 0 0 0 0 20 2014. 0 0 0 0 0 0 0 0 0 0 22 2215. 0 0 10 10 0 0 2 2 0 0 22 2216. 0 0 0 0 1 0 0 0 1 0 0 017. 0 0 0 0 0 5 0 0 0 0 0 018. 0 0 0 0 0 32 0 0 0 0 0 019. 0 0 0 0 0 32 0 0 0 0 0 020. 0 0 0 0 0 5 0 0 0 0 0 021. 0 0 0 18 0 0 0 0 0 0 0 022. 0 0 0 0 0 0 0 26 0 0 0 023. 0 0 0 0 0 0 0 0 0 0 0 2224. 0 0 0 8 0 0 0 1 0 0 0 025. 0 0 0 8 0 0 0 0 0 0 0 1226. 0 0 0 0 0 0 0 1 0 0 0 1427. 0 0 0 8 0 0 0 2 0 0 0 12

    Production

    76 162 136 97 67 194 89 59 135 198 195 156

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    Order 75 162 135 97 67 194 89 59 135 197 195 155Surplus 1 0 1 0 0 0 0 0 0 1 0 1

    101. How many lays areused to produce Yellow coloured fabrics?

    (1) 10(2) 11(3) 12(4) 14

    102. How many lays areused to produce ExtraExtraLargefabrics?

    (1) 15(2) 16(3) 17(4) 18

    103. How many lays areused to produceExtraExtra LargeYellow or ExtraExtra LargeWhitefabrics?

    (1) 8(2) 9(3) 10(4) 15

    104. How many varieties of fabrics, which exceed the order, havebeen produced?

    (1) 3(2) 4(3) 5(4) 6

    Directions for question 105 to 108: Answer these questions based on the table given belowconcerning thebusiest twenty international airports in theworld.

    No Name International Code Location PassengersAirport Type1 Hartsfield A ATL Atlanta, Georgia, USA 779395362 ChicagoO'Hare A ORD Chicago, Illionis, USA 725680763 Los Angeles A LAX Los Angeles, 63876561California, USA

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    4 Heathrow Airport E LHR London, United 62263710Kingdom5 DFW A DFW Dallas/Ft. Worth, 60000125iTexas, USA6 HanedaAirport F HND Tokyo, Japan 543382127 Frankfurt Airport E FRA Frankfurt, Germany 458583158 RoissyCharles de E CDG Paris, France 43596943Gaulle9 SanFransisco A SFO SanFransisco, 40387422California, USA10 Denver A DIA Danver, Colorado, USA 3803423111 AmsterdamSchiphol E AMS Amsterdam, 36781015Netherlands12 MinneapolisSt. Paul A MSP MinneapolisSt. Paul, 34216331USA13 Detroit Metropolitan A DTW Detroit, Michigan, USA 3403838114 Miami A MIA Miami, Florida, USA 3389924615 Newark A EWR Newark, New Jersey, 33814000USA16 McCarran A LAS Las Vegas, Nevada, 33669185USA17 Phoenix Sky Harbor A PHX Phoenix, Arizona, USA 3353335318 Kimpo FE SEL Seoul, Korea 3337107419 GeorgeBush A IAH Houston, Texas, USA 3308933320 John F.Kennedy A JFK New York, New York, 32003000

    105. How many international airports of type'A'account for morethan 40 million passengers?

    (1) 4(2) 5(3) 6(4) 7

    106. What percentageof top ten busiest airports is in theUnited States of America?

    (1) 60(2) 80(3) 70(4) 90

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    107. Of the five busiest airports, roughly what percentage of passengers is handled byHeathrow airport?

    (1) 30(2) 40(3) 20(4) 50

    Directions for question 109 to 114: Answer thesequestions based on the two graphs shownbelow:

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    Figure 1 shows the amount of work distribution, in manhours, for a software companybetween offshore and onsite activities. Figure 2 shows the estimated and actual work effortinvolved in thedifferent offshoreactivities in thesame company during thesameperiod.

    [Note: onsiterefers to work performedat thecustomer's premiseand offshorerefers to workperformedat thedeveloper's premise]

    109. Which of thework requires as many manhours as that spent in coding?

    (1) Offshore, design and coding(2) Offshorecoding(3) Testing(4) Offshore, testing and coding

    110. Roughly what percentageof thetotal work is carried out onsite?

    (1) 40 percent(2) 20 percent(3) 30 percent(4) 50 percent

    111. Thetotal effort in manhours spent onsiteis nearest to which of thefollowing?

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    (1) Thesumof theestimated and actual effort for offshore design(2) Theestimated manhours of offshorecoding(3) Theactual manhours of offshoretesting(4) Half of themanhours of estimated offshorecoding

    112. If the total working hours were 100, which of the following tasks will account forapproximately 50 hours?

    (1) Coding(2) Design(3) Offshoretesting(4) Offshoretesting plus design

    113. If 50 percent of theoffshorework wereto becarried out onsite, with thedistribution ofeffort between the tasks remaining the same, the proportion of testing carried out offshorewould be:

    (1) 40 percent(2) 30 percent(3) 50 percent(4) 70 percent

    114. If 50 percent of theoffshorework wereto becarried out onsite, with thedistribution ofeffort between thetasks remaining thesame, which of thefollowing is trueof all work carriedout onsite?

    (1) Theamount of coding doneis greater than that of testing.(2) Theamount of coding doneonsiteis less than that of design doneonsite.(3) Theamount of design carried out onsiteis greater than that of testing.(4) Theamount of testing carried out offshoreis greater than that of total design.

    Directions for question 115 to 117: Answer these questions based on the pipeline diagrambelow.

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    Thefollowing sketch shows thepipelines carrying material fromonelocation to another. Eachlocation has a demand for material. The demand at Vaishali is 400, at Jyotishmati is 400, atPanchal is 700, and at Vidisha is 200. Each arrow indicates the direction of material flowthrough thepipeline. Theflow fromVaishali to Jyotishmati is 300. Thequantity of material flowis such that thedemands at all theselocations areexactly met. Thecapacity of each pipelineis1000

    115. Thequantity moved formAvanti to Vidishais:

    (1) 200(2) 800(3) 700(4) 1000

    116. Thefree capacity availableat the Avanti Vaishali pipelineis:

    (1) 0(2) 100(3) 200(4) 300

    117. What is thefree capacity available in t heAvantiVidishapipeline?

    (1) 300(2) 200(3) 100(4) 0

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    Directions for question 118 to 120: Answer thesequestions based on thedatagiven below.

    Therearesix companies, 1 through 6. All of thesecompanies usesix operations, Athrough F.The following graph shows the distribution of efforts put in by each company in these sixoperations.

    118. Supposeeffort allocation is interchanged between operations Band C, then C and D, andthen D and E. If companies arethen ranked in ascending order of effort in E, what will betherank of company 3?

    (1) 2(2) 3(3) 4(4) 5

    119. Anew technology is introduced in company 4, such that thetotal effort for operations Bthrough Fgets evenly distributed among these. What is thechangein thepercentageof effortin operation E?

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    (1) Reduction of 12.3(2) Increaseof 12.3(3) Reduction of 5.6(4) Increaseof 5.6

    120. Supposethecompanies find that they can removeoperations B, C and D and redistributetheeffort released equally among theremaining operations. Then, which operation will showthemaximumacross all companies and all operations?

    (1) Operation E in company 1(2) Operation E in company 4(3) Operation Fin company 5(4) Operation E in company 5

    Directions for question 121 to 127: Each item is followed by two statements, Aand B. Answereach question using thefollowing instructions.

    Choose1 if thequestion can beanswered by oneof thestatements aloneand not by theother.Choose2 if thequestion can beanswered by using either statement alone.Choose3 if thequestion can be answered by using both thestatements together, but cannot beanswered by using either statement alone.Choose4 if thequestion cannot beanswered even by using both statements together.

    121. What arethevalues of m and n?

    A. n is an even integer, mis an odd integer, and m is greater than n.B. Product of m and n is 30.

    (1) 1(2) 2(3) 3(4) 4

    122. Is Country X's GDPhigher than country Y's GDP?

    A. GDPs of thecountries Xand Y havegrown over thepast fiveyears at compounded annualrateof 5% and 6% respectively.B. Fiveyears ago, GDPof country Xwas higher than that of country Y.

    (1) 1(2) 2

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    (3) 3(4) 4

    123. What is thevalue of X?

    A. Xand Yareunequal even integers, less than 10, and XIY is an odd integer.B. Xand Yareeven integers, each less than 10, and product of X and Y is 12.

    (1) 1(2) 2(3) 3(4) 4

    124. On a given day a boat ferried 1500 passengers across the river in twelve houses. Howmany round trips did it make?

    A. Theboat can carry two hundred passengers at any time.B. It takes 40 minutes each way and 20 minutes of waiting timeat each terminal.

    (1) 1(2) 2(3) 3(4) 4

    125. What will be thetimefor downloading software?

    A. Transfer rateis 6 Kilobytes per second.B. Thesizeof thesoftwareis 4.5 megabytes.

    (1) 1(2) 2(3) 3(4) 4

    126. Asquareis inscribed in acircle. What is thedifferencebetween thearea of thecircleandthat of thesquare?

    A. Thediameter of the circleis 25V2cm.B. Thesideof thesquareis 25 cm.

    (1) 1

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    (2) 2(3) 3(4) 4

    127. Two friends, Ram and Gopal, bought apples froma wholesale dealer. How many apples didthey buy?

    A. Rambought onehalf thenumber of apples that Gopal bought.B. Thewholesaledealer had astock of 500 apples.

    (1) 1(2) 2(3) 3(4) 4

    Directions for question 128 to 130: Thequestions arebased on thepiecharts given below.

    Chart 1 shows the distribution of twelve million tonnes of crude oil transported throughdifferent modes over a specific period of time. Chart 2 shows the distribution of the cost oftransporting this crudeoil. Thetotal cost was Rs. 30 million.

    128. Thecost in rupees per tonneof oil moved by rail and road happens to beroughly

    (1) 3(2) 1.5(3) 4.5(4) 8

    129. Fromthecharts given, it appears that thecheapest modeof transport is?

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    (1) Road(2) Rail(3) Pipeline(4) Ship

    130. If the costs per tonne of transport by ship, air and road are represented by P, Q and Rrespectively, which of thefollowing is true?

    (1) R>Q>P(2) P> R> Q(3) P>Q >R(4) R>P>Q

    131. In afamily gathering therearetwo males who aregrandfathers and four males who arefathers. In the same gathering, therearetwo females who aregrandmothers and four femaleswho aremothers. Thereis at least onegrandson or agranddaughter present in this gathering.There are two husbandwife pairs in this group. These can either be a grandfather and agrandmother, or afather and amother. The singlegrandfather (whosewifeis not present) hastwo grandsons and ason present. Thesinglegrandmother (whosehusband is not present) hastwo granddaughters and a daughter present. A grandfather or a grandmother present withtheir spouses does not have any grandson or granddaughter present. What is theminimumnumber of people present in this gathering?

    (1) 10(2) 12(3) 14(4) 16

    132. Four friends Ashok, Bashir, Chirag and Deepak are out shopping. Ashok has less moneythan three times theamount that Bashir has. Chirag has moremoney than Bashir. Deepak hasan amount equal to thedifferenceof amounts with Bashir and Chirag. Ashok has three timesthemoney with Deepak. They each have to buy at least oneshirt, or oneshawl, or onesweater,or onejacket that arepriced Rs. 200, Rs. 400, Rs. 600, and Rs. 1000 apiece, respectively. Chiragborrows Rs. 300 fromAshok and buys ajacket. Bashir buys asweater after borrowing Rs. 100fromAshok and is leftwith no money. Ashok buys three shirts. What is thecostliest item thatDeepak could buy with his own money?

    (1) Ashirt(2) Ashawl(3) Asweater(4) Ajacket

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    133. Eight peoplecarrying food baskets aregoing for apicnic on motorcycles. Their names areA, B, C, D, E, F, G, and H. They havefour motorcycles, M1, M2, M3 and M4 among them. Theyalso havefour food baskets 0, P, Q and Rof different sizes and shapes and each can be carriedonly on motorcycles M1, M2, M3, or M4 respectively. No morethan two persons can travel onamotorcycle and no more than one basket can be carried on amotorcycle. There are twohusbandwife pairs in this group of eight people and each pair will ride on a motorcycletogether. C cannot travel with Aor B. E cannot travel with B or F. G cannot travel with F, or H,or D. The husbandwifepairs must carry baskets 0 and P. Q is with Aand Pis with D. Ftravels onM1 and E travels on M2 motorcycles. G is with Q, and B cannot go with R. Who is traveling withH?

    (1) A(2) B(3) C(4) D

    134. At avillagemela, thefollowing six nautankis (plays) arescheduled as shown in thetablebelow:

    You wish to see all thesix nautank is. Further, you wish to ensurethat you get a lunch breakfrom12:30 p.m. to 1:30 p.m. which of thefollowing ways can you do this?

    (1) SatiSavitri is viewed first; Sundar Kand is viewed third and Jhansi ki Rani is viewed last.(2) SatiSavitri is viewed last; Veer Abhimanyu is viewed third and Reshmaaur Sherais viewedfirst.(3) SatiSavitri is viewed first; Sundar Kand is viewed third and Joru kaGhulamis viewed fourth.(4) Veer Abhimanyu is viewed third; Reshmaaur Shera is viewed fourth and Jhansi ki Rani isviewed fifth.Directions for question 135 to 136: Answer thefollowing questions based on the informationgiven below.

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    Elle is three times older than Yogesh. Zaheer is half theageof Wahida. Yogesh is older thanZaheer.

    135. Which of thefollowing can beinferred?

    (1) Yogesh is older than Wahida.(2) Elleis older than Wahida.(3) Ellemay beyounger than Wahida.(4) Noneof theabove

    136. Which of thefollowing information will besufficient to estimateElle's age?

    (1) Zaheer is 1 0 years old.(2) Both Yogesh and Wahida areolder than Zaheer by thesame number of years.(3) Both 1 and 2 above.(4) Noneof theabove.

    Directions for question 137 to 139: Answer the following questions based on the passagebelow.

    A group of three or four has to be selected from seven persons. Among the seven are twowomen: Fizaand Kavita, and fivemen: Ram, Shyam, David, Peter and Rahim. Ramwould notliketo bein thegroup if Shyamis also selected. Shyamand Rahimwant to beselected togetherin thegroup. Kavitawould liketo be in thegroup only if David is also there. David, if selected,would not likePeter in thegroup. Ramwould liketo bein the group only if Peter is also there.David insists that Fizabeselected in casehe is therein thegroup.

    137. Which of thefollowing is afeasiblegroup of three?

    (1) David, Ram, Rahim(2) Peter, Shyam, Rahim(3) Kavita, David, Shyam(4) Fiza, David, Ram

    138. Which of thefollowing is afeasiblegroup of four?

    (1) Ram, Peter, Fiza, Rahim(2) Shyam, Rahim, Kavita, David(3) Shyam, Rahim, Fiza, David(4) Fiza, David, Ram, Peter

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    139. Which of thefollowing statements is true?

    (1) Kavitaand Ramcan bepart of agroup of four.(2) Agroup of four can havetwo women.(3) Agroup of four can haveall four men.(4) Noneof theabove.

    140. Aking has unflinching loyalty fromeight of his ministers M1 to M8, but hehas to selectonly four to make a cabinet committee. He decides to choose these four such that eachselected person shares a liking with at least one of the other three selected. The selectedpersons must also hateat least oneof thelikings of any of theother three persons selected.

    M1 likes fishing and smoking, but hates gambling,M2 likes smoking and drinking, but hates fishing,M3 likes gambling, but hates smoking,M4 likes mountaineering, but hates drinking,M5 likes drinking, but hates smoking and mountaineering,M6 likes fishing, but hates smoking and mountaineering,M7 likes gambling and mountaineering, but hates fishing, andM8 likes smoking and gambling, but hates mountaineering.

    Who arethefour peopleselected by theking?

    (1) M1, M2, M5, M6(2) M3, M4, M5, M6(3) M4, M5, M6, M8(4) M1, M2, M4, M7

    141. Mrs. Rangahas three children and has difficulty remembering their ages and themonthsof their birth. Theclues below may help her remember.

    Theboy, who was born in June, is 7 years old.Oneof thechildren is 4 years old, but it is not Anshuman.Vaibhav is older than Suprita.Oneof thechildren was born in September, but it was not Vaibhav.Suprita's birthday is in April.Theyoungest child is only 2 years old.Based on theaboveclues, which one of thefollowing statements is true?

    (1) Vaibhav is theoldest, followed by Anshuman who was born in September, and theyoungestis Supritawho was born in April.

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    (2) Anshuman is theoldest being born in June, followed by Supritawho is 4 years old, and theyoungest is Vaibhav who is 2 years old.(3) Vaibhav is theoldest being 7 years old, followed by Supritawho was born in April, and theyoungest is Anshuman who was born in September.(4) Supritais theoldest who was born in April, followed by Vaibhav who was born in JuneandAnshuman who was born in September.

    142. I haveatotal of Rs. 1000. Item Acosts Rs. 110, item B costs Rs. 90, item C costs Rs. 70,item D costs Rs. 40 and item E costs Rs. 45. For every item D that I purchase, I must also buytwo of item B. For every itetmA, I must buy oneof item C. For every item E, I must also buy twoof item D and oneof item B. For every item purchased, I earn 1000 points and for every rupeenot spent I earn apenalty of 1500 points. My objectiveis to maximisethepoints I earn. What isthenumber of item that I must purchaseto maximisemy points?

    (1) 13(2) 14(3) 15(4) 16

    143. In a "keepfit" gymnasium class, there are fifteen females enrolled in a weightlossprogram. They all havebeen grouped in anyone of thefiveweightgroup W1 , W2, W3, W4, orW5. Oneinstructor is assigned to oneweightgroup only. Sonali, Shalini, Shubhra, and Shah irabelong to thesame weightgroup. Sonali and Rupaarein oneweightgroup, Rupali and Renukaare also in one weightgroup. Rupa, Radha, Renuka, Ruchika, and Ritu belong to differentweightgroups. Somyacannot bewith Ritu, and Taracannot bewith Radha. Komal cannot bewith Radha, Somya,or Ritu.Shah ira is in W1 and Somya is in W4 with Ruchika. Sweta andJyotika cannot bewith Rupali, but are in aweightgroup with total membership of four. Noweightgroup can have more than five or less than one member. Amita, Babita, Chandrika,Deepika, and Elina are instructors of weightgroups with membership sizes 5, 4, 3, 2, and 1,respectively. Who is theinstructor of Radha?

    (1) Babita(2) Elina(3) Chandrika(4) Deepika

    144. The Bannerjees, the Sharmas, and the Pattabhiramans, each have a tradition of eatingSunday lunch as afamily. Each family serves aspecial meal at acertain timeof day. Each familyhas aparticular set of chinawareused only for this meal. Use theclues below to answer thefollowing question.

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    TheSharmafamily eats at noon.Thefamily that serves fried brinjal uses blue chinaware.TheBannerjeefamily eats at 2 o'clock.Thefamily that serves sambar does not usered chinaware.Thefamily that eats at 1 o'clock serves fried brinjal.ThePattabhiraman family does not usewhitechinaware.Thefamily that eats last likes makkaikiroti.

    144. Which one of thefollowing statements is true?

    (1) TheBannerjees eat makkaikiroti at 2 o'clock, theSharmas eat fried brinjal at 12 o'clock andthePattabhiramans eat sambar from red chinaware.(2) TheSharmas eat sambar served in whitechinaware, thePattabhiramans eat fried brinjal at1 o'clock, and the Bannerjees eat makkaikiroti served in blue chinaware.(3) The Sharmas eat sam bar at noon, the Pattabhiramans eat fried brinjal served in bluechinaware, and theBannerjees eat makkaikiroti served in red chinaware.(4) TheBannerjees eat makkaikiroti served in whitechinaware, the Sharmas eat fried brinjal at12 o'clock and thePattabhiramans eat sambar fromred chinaware.

    145. On her walk through thepark, Hamsacollected 50 coloured leaves, all either mapleor oak.Shesorted them by category when shegot home, and found thefollowing:Thenumber of red oak leaves with spots is even and positive.Thenumber of red oak leaves without any spot equals thenumber of red mapleleaves withoutspots.All nonred oak leaves havespots, and thereare fivetimes as many of them as thereareredspotted oak leaves.There are no spotted maple leaves that are not red. There are exactly 6 red spotted mapleleaves.Thereareexactly 22 maple leaves that areneither spotted nor red. How many oak leaves didshecollect?

    (1) 22(2) 17(3) 25(4) 18

    146. WhileBalbir had his back turned, a dog ran into his butcher shop, snatched apieceof meatoff thecounter and ran out. Balbir was mad when herealised what had happened. Heaskedthree other shopkeepers, who had seen thedog, to describe it. Theshopkeepers really didn'twant to help Balbir. So each of them madeastatement which contained onetruth and onelie.

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    Shopkeeper Number 1 said: "Thedog had black hair and along tail."Shopkeeper Number 2 said; "Thedog had a short tail and worea collar."Shopkeeper Number 3 said: "Thedog had whitehair and no collar."

    Based on theabovestatements, which of thefollowing could be acorrect description?

    (1) Thedog had whitehair, short tail and no collar.(2) Thedog had whitehair, long tail and acollar.(3) Thedog had black hair, long tail and a collar.(4) Thedog had black hair, long tail and no collarDirections for question 147 to 150: Aand B aretwo sets (eg. A=mothers, B =women). Theelements that could belong to both thesets (e.g., womenwho aremothers) is given by thesetC =A. B. Theelements which could belong to either Aor B, or both, is indicated by theset D =AUB. Aset that does not contain any elements is known as anull set, represented b1l'(forexample, if noneof thewomenin theset B is amother, then C =A. B is anull set, or C = . LetV'. Signify theset of all vertebrates; 'M'theset of all mammals; 'D'dogs; 'F'fish; 'A'alsatian and'P', adog named Pluto.

    147. Given that X=M.D. is such that X D, which of thefollowing is true?(1) All dogs aremammals.(2) Somedogs are mammals.(3) X=(4) All mammals aredogs

    148. If Y =F. (D.V), is not anull set, it implies that:

    (1) All fish are vertebrates.(2) All dogs arevertebrates.(3) Somefish aredogs.(4) Noneof theabove.

    149. If Z =(P.D) OM, then:

    (1) Theelements of Z consist of Pluto thedog or any other mammal.(2) Z implies any dog or mammal.(3) Z implies Pluto or any dog that is amammal.(4) Z is anull set.

    150. If P. A=and POA=D, then which of the following is true?

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    (1) Pluto and alsatians aredogs.(2) Pluto is an alsatian.(3) Pluto is not an alsatian.(4) D is a null set.

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    ANSWERS KEY1) 12) 43) 14) 35) 16) 37) 28) 19) 410) 411) 112) 113) 314) 315) 116) 317) 218) 419) 220) 321) 322) 423) 224) 125) 326) 127) 428) 229) 430) 4

    31) 232) 333) 134) 435) 136) 137) 238) 439) 240) 341) 442) 243) 344) 345) 346) 347) 248) 149) 250) 251) 152) 453) 354) 255) 456) 357) 158) 359) 460) 1

    61) 462) 363) 264) 365) 466) 367) 468) 169) 470) 171) 172) 373) 174) 475) 276) 177) 478) 479) 280) 281) 182) 383) 484) 285) 386) 187) 488) 389) 490) 3

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