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MANYA CAT CAT SAMPLE PAPER
INSTRUCTIONS – Please read these carefully before attempti ! the test 1. 2. This test is based on pattern of previous years’ CAT papers. There are four sections Section I – English !" #uestions\$ Section II – %eading Co&prehension !" #uestions\$ Section III – #uantitative Ability !" #uestions\$ Section I' – (ata Interpretation ) (ata Sufficiency !" #uestions\$ The total time allotted is " hours e#actly\$ +lease note your start ti&e and end ti&e on the ans,er sheet. (o not ta-e &ore than 2 hours. or you ,ill get a ,rong assess&ent. Please fill all the details. as as-ed on top of the ans,er sheet. Please try to &a0i&i1e your atte&pt overall. but you sectio s\$ eed to do %ell i all

*.

!. /. &\$ 2. 3.

There is ' mar( for e)ery ri!ht a s%er a d *\$"+ e!ati)e mar(s for e)ery %ro ! o e\$ There are four sections in this test do first t,o sections in first hour and second t,o sections in second hour. Since it is a ti&e constrained test and you have 2 hours. and all 4uestions carry e4ual &ar-s. please do not get stuc- on any 4uestion. &ove fast to try and do easier ones. +lease do all scratch %or( o paper o ly, o e#tra sheets to be used\$ +ut all your ans,ers on the ans,er sheet. %ela#\$ You are competi ! a!ai st yourself\$

5. 1".

CAT Sample Paper Sol

1

MANYA CAT

S-CTION – I
Number of .uestio s/ 0*
1IR-CTIONS for .uestio s ' to '*/ %ead each of the short passages given belo, and ans,er the 4uestion that follo,s it. 1. Three airlines 6 IA. 7A and SA 6 operate on the (elhi68u&bai route. To increase the nu&ber of seats sold. SA reduced its fares and this ,as e&ulated by IA and 7A i&&ediately. The general belief ,as that the volu&e of air travel bet,een (elhi and 8u&bai ,ould increase as a result. 9hich of the follo,ing. if true. ,ould add credence to the general belief: ;1< Increase in profitability of the three airlines. ;2< E0tension of the discount sche&e to other routes. ;*< A study that sho,s that air travellers in India are price6conscious. ;!< A study that sho,s that as &uch as 3"= of air travel in India is co&pany6sponsored. According to 8c>eill. a ?rah&in priest ,as e0pected to be able to recite at least one of the 'edas. The practice ,as essential for several centuries ,hen the 'edas had not yet been ,ritten do,n. It &ust have had a selective effect. since priests ,ould have been recruited fro& those able or ,illing to &e&orise long passages. It &ust have helped in the disse&ination of the ,or-. since a &e&orised passage can be duplicated &any ti&es. 9hich one of the follo,ing can be inferred fro& the above passage: ;1< %eciting the 'edas ,as a ?rah&in’s obligation ;2< The 'edic priest ,as li-e a recorded audio cassette ;*< 8c>eill studied the behaviour of ?rah&in priests ;!< 'edic hy&ns had not been scripted (eveloped countries have &ade ade4uate provisions for social security for senior citi1ens. State insurers as ,ell as private ones\$ offer &edicare and pension benefits to people ,ho can no longer earn. In India. ,ith the collapse of the @oint fa&ily syste&. the traditional shelter of the elderly has disappeared. And a State faced ,ith a financial crunch is not in a position to provide social security. So. it is advisable that the ,or-ing population gives serious thought to build a financial base for itself. 9hich one of the follo,ing. if it ,ere to happen. ,ea-ens the conclusion dra,n in the above passage the &ost: ;1< The investible inco&e of the ,or-ing population. as a proportion of its total inco&e. ,ill gro, in the future. ;2< The insurance sector is underdeveloped and trends indicate that it ,ill be e0tensively privatised in the future. ;*< India is on a path of develop&ent that ,ill ta-e it to a developed country status. ,ith all its positive and negative i&plications. ;!< If the ,or-ing population builds a stronger financial base. there ,ill be a revival of the @oint fa&ily syste&. 'arious studies have sho,n that our forested and hilly regions. and. in general. areas ,here biodiversity 66 as reflected in the variety of flora 66 is high. are the places ,here poverty appears to be high. And these sa&e areas are also the ones ,here educational perfor&ance see&s to be poor. Therefore. it &ay be sur&ised that. even disregarding poverty status. richness in biodiversity goes hand in hand ,ith educational bac-,ardness. 9hich one of the follo,ing state&ents. if true. can be said to best provide supporting evidence for the sur&ise &entioned in the passage: ;1< In regions ,here there is little variety in flora. educational perfor&ance is seen to be as good as in regions ,ith high variety in flora. ,hen poverty levels are high. ;2< %egions ,hich sho, high biodiversity also e0hibit poor educational perfor&ance. at lo, levels of poverty. ;*< %egions ,hich sho, high biodiversity reveal high levels of poverty and poor educational perfor&ance. ;!< In regions ,here there is lo, biodiversity. at all levels of poverty. educational perfor&ance is seen to be good.

2.

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CAT Sample Paper Sol

2

MANYA CAT

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Cigarettes constitute a &ere 2"= of tobacco consu&ption in India. and fe,er than 1/= of the 2"" &illion tobacco users consu&e cigarettes. Aet these 1/= contribute nearly 5"= of the ta0 revenues to the E0che4uer fro& the tobacco sector. The punitive cigarette ta0ation regi&e has -ept the ta0 base narro,. and reducing ta0es ,ill e0pand this base. 9hich one of the follo,ing best bolsters the conclusion that reducing duties ,ill e0pand the ta0 base: ;1< The cigarette &anufacturers’ association has decided to indulge in aggressive pro&otion. ;2< There is a li-elihood that tobacco consu&ers ,ill shift to cigarette s&o-ing if cigarette prices ,ere to reduce. ;*< The cigarette &anufacturers are lobbying for a reduction on duties. ;!< An increase in duties on non6cigarette tobacco &ay lead to a shift in favor of cigarette s&o-ing. Tho&as 8althus. the ?ritish clergy&an turned econo&ist. predicted that the planet ,ould not be able to support the hu&an population for long. Cis e0planation ,as that hu&an population gro,s at a geo&etric rate. ,hile the food supply gro,s only at an arith&etic rate. 9hich one of the follo,ing. if true. ,ould not under&ine the thesis offered by 8althus: ;1< +opulation gro,th can be slo,ed do,n by the voluntary choices of individuals and not @ust by natural disasters. ;2< The capacity of the planet to feed a gro,ing hu&an population can be enhanced through biotechnological &eans. ;*< Cu&an syste&s. and natural syste&s li-e food supply. follo, natural la,s of gro,th. ,hich have re&ained constant. and ,ill re&ained unchanged. ;!< Cu&an beings can colonise other planetary syste&s on a regular and on6going basis to acco&&odate a gro,ing population. The co&pany’s coffee crop for 1553655 totalled 3"25 tonnes. an all ti&e record. The increase over the previous year’s production of /3*" tonnes ,as *3./3=. The previous highest crop ,as B"35 tonnes in 152"621. The co&pany had fi0ed a target of 3""" tonnes to be realised by the year 2"""6"1. and this has been achieved t,o years earlier. than-s to the e&phasis laid on the -ey areas of irrigation. replace&ent of unproductive coffee bushes. intensive refilling and i&proved agricultural practices. It is no, our endeavour to reach the target of 1"""" tonnes in the year 2""16"2. 9hich one of the follo,ing ,ould contribute &ost to &a-ing the target of 1"""" tonnes in 2""16"2 unrealistic: ;1< The potential of the productivity enhancing &easures i&ple&ented up to no, has been e0hausted. ;2< The total co&pany land under coffee has re&ained constant since 15B5 ,hen an estate in the >ilgiri Cills ,as ac4uired. ;*< The sensitivity of the crop to cli&atic factors &a-es predictions about production uncertain. ;!< The target6setting procedures in the co&pany have been proved to the sound by the achieve&ent of the 3""" tonne target. Ani&als in general are shre,d in proportion as they cultivate society. Elephants and beavers sho, the greatest signs of this sagacity ,hen they are together in large nu&bers. but ,hen &an invades their co&&unities they lose all their spirit of industry. A&ong insects. the labours of the bee and the ant have attracted the attention and ad&iration of naturalists. but all their sagacity see&s to be lost upon separation. and a single bee or ant see&s destitute of every degree of industry. It beco&es the &ost stupid insect i&aginable. and it languishes and soon dies. 9hich of the follo,ing can be inferred fro& the above passage: ;1< Cu&an-ind is responsible for the destruction of the natural habitat of ani&als and insects. ;2< Ani&als. in general. are unable to function effectively outside their nor&al social environ&ent. ;*< >aturalists have great ad&iration for bees and ants. despite their lac- of industry upon separation. ;!< Elephants and beavers are s&arter than bees and ants in the presence of hu&an beings. In a recent report. the gross enrol&ent ratios at the pri&ary level. that is. the nu&ber of children enrolled in classes one to five as a proportion of all children aged B to 1". ,ere sho,n to be very high for &ost statesD in &any cases they ,ere ,ay above 1"" percentE These figures are not ,orth anything. since they are based on the official enrol&ent data co&piled fro& school records. They &ight as ,ell stand for Fgross e0aggeration ratios’. 9hich of the follo,ing options best supports the clai& that the ratios are e0aggerated: ;1< The definition of gross enrol&ent ratio does not e0clude. in its nu&erator. children belo, B years or above 1" years enrolled in classes one to five.

B.

2.

3.

5.

CAT Sample Paper Sol

3

MANYA CAT

;2< A school attendance study found that &any children enrolled in the school records ,ere not &eeting a &ini&u& attendance re4uire&ent of 3" percent. ;*< A study esti&ated that close to 22 percent of children enrolled in the class one records ,ere belo, B years of age and still to start going to school. ;!< (e&ographic surveys sho, shifts in the population profile ,hich indicate that the nu&ber of children in the age group B to 1" years is declining. 1". S1y&ans-i suggests that the proble& of racis& in football &ay be present even today. Ce begins by verifying an earlier hypothesis that clubs’ ,age bills e0plain 5"= of their perfor&ance. Thus. if players’ salaries ,ere to be only based on their abilities. clubs that spend &ore should finish higher. If there is pay discri&ination against so&e group of players 66 fe,er tea&s bidding for blac- players thus lo,ering the salaries for blac-s ,ith the sa&e ability as ,hites 66 that neat relation &ay no longer hold. Ce concludes that certain clubs see& to have achieved &uch less than ,hat they could have. by not recruiting blac- players. 9hich of the follo,ing findings ,ould best support S1y&ans-i’s conclusions: ;1< Certain clubs too- advantage of the situation by hiring above6average shares of blac- players. ;2< Clubs hired ,hite players at relatively high ,ages and did not sho, proportionately good perfor&ance. ;*< (uring the study period. clubs in to,ns ,ith a history of discri&ination against blac-s. under6 perfor&ed relative to their ,age bills. ;!< Clubs in one region. ,hich had higher proportions of blac- players. had significantly lo,er ,age bills than their counterparts in another region ,hich had predo&inantly ,hite players.

1IR-CTIONS for .uestio s '' to '+/ Gor the ,ord given at the top of each table. &atch the dictionary definitions on the left A. ?. C. (\$ ,ith their corresponding usage on the right E. G. H. C\$. Iut of the four possibilities given in the bo0es belo, the table. select the one that has all the definitions and their usages correctly &atched. 11. E0ceed (ictionary (efinition A. To e0tend outside of. or enlarge beyondD used chiefly in strictly physical relations ?. To be greater than or superior to C. ?e beyond the co&prehension of (. To go beyond a li&it set by as an authority or privilege\$ Ans,er choicesL ;1< A C ;2< A ? G ? C E C ( H ( 12. Infer (ictionary (efinition A. To derive by i&plication ?. To sur&ise C. To point out (. To hint reasoning or Jsage E. 9e see s&o-e and infer fire G. Hiven so&e utterance. a listener &ay infer fro& it things ,hich the utterer never i&plied H. I ,aited all day to &eet hi&. fro& this you can infer &y 1eal to see hi& C. She did not ta-e part in the debate e0cept to asa 4uestion inferring that she ,as not interested in the debate Jsage E. The &ercy of god e0ceeds our finite &inds. G. Their acco&plish&ents e0ceeded our e0pectation H. Ce e0ceed his authority ,hen he paid his brotherKs ga&bling debts ,ith &oney fro& the trust C. If this rain -eeps up. the river ,ill e0ceed its ban-s by &orning C E G H ;*< A ? C ( H G E C ;!< A ? C ( G H C E

CAT Sample Paper Sol

4

MANYA CAT

Ans,er choicesL ;1< A ? C ( 1*. 8ello,

H C E G

;2<

A ? C (

G C E H

;*<

A ? C (

C H G E

;!<

A ? C (

E G H C

(ictionary (efinition A. Ade4uately and properly ages so as to be free of harshness ?. Greed fro& the rashness of youth C. If soft and loa&y consistency (. %ich and full but free fro& stridency Ans,er choicesL ;1< A E ;2< A ? H ? C G C ( C ( 1!. %elief (ictionary (efinition A. %e&oval or lightening of so&ething distressing ?. Aid in the for& of necessities for the indigent C. (iversion (. %elease fro& the perfor&ance of duty Ans,er choicesL ;1< A G ;2< A ? C ? C E C ( H ( 1/. +urge A. %e&ove a stig&a fro& the na&e of ?. 8a-e clean by re&oving ,hatever is superfluous. foreign C. Het rid of (. To cause evacuation of Ans,er choicesL ;1< A ? C ( E H G C ;2< A ? C ( G E C H

Jsage E. Ce has &ello,ed ,ith age G. The tones of the old violin ,ere &ello,. H. So&e ,ines are &ello, C. 8ello, soil is found in the Hangetic plains E G H C ;*< A ? C ( H E C G ;!< A ? C ( C H G E

Jsage E. A cere&ony follo,s the relief of a sentry after the &orning shift G. It ,as a relief to ta-e off the tight shoes. H. The only relief I get is by playing cards C. (isaster relief ,as offered to the victi&s. G C H E ;*< A ? C ( C G H E ;!< A ? C ( H E C G

E. The opposition ,as purged after the coup. G. The co&&ittee heard his atte&pt to purge hi&self of a charge of heresy. H. (rugs that purge the bo,els are often bad for the brain C. It is reco&&ended to purge ,ater by distillation ;*< A ? C ( C G H E ;!< A ? C ( G C E H

CAT Sample Paper Sol

5

MANYA CAT

1IR-CTIONS for .uestio s '& to "*/ In each of the follo,ing sentences the &ain state&ent is follo,ed by four sentences each. Select the pair of sentences that relate logically ,ith the given state&ent. 1B. Either Sita is sic- or she is careless. A. Sita is not sic?. Sita is not careless. ;1< A? ;2< A( ;*< ?A C. Sita is sic;!< (A (. Sita is careless.

12.

%a& gets a s,ollen nose ,henever he eats ha&burgers. A. %a& gets a s,ollen nose. ?. %a& does not eat ha&burgers C. %a& does not get a s,ollen nose (. %a& eats ha&burgers. ;1< A? ;2< (C ;*< AC ;!< ?C Either the e&ployees have no confidence in the &anage&ent or they are hostile by nature. A. They are hostile by nature ?. They are not hostile by nature. C. They have confidence in the &anage&ent (. They have no confidence in the &anage&ent. ;1< ?A ;2< (C ;*< AC ;!< ?C 9henever %a& reads late into the night. his father beats hi& up. A. Cis father does not beat %a&. ?. %a& reads late into the night. C. %a& reads early in the &orning. (. %a&’s father beats hi& in the &orning. ;1< C( ;2< ?( ;*< A? ;!< >one of the above. All irresponsible parents shout if their children do not cavort. A. All irresponsible parents do not shout. ?. Children cavort C. Children do not cavort. (. All irresponsible parents shout. ;1< A? ;2< ?A ;*< CA ;!< All of the above.

13.

15.

2".

1IR-CTIONS for .uestio "' to "+/ In each of the follo,ing sentences. parts of the sentence are left blan-. ?eneath each sentence. four different ,ays of co&pleting the sentence are indicated. Choose the best alternative fro& a&ong the four. 21. ?ut MMMMMMMMMMM are no, regularly ,ritten to describe ,ell6established practices. organisations and institutions. not all of ,hich see& to be MMMMMMMM a,ay. ;1< reports. ,ithering ;2< stories. trading ;*< boo-s. dying ;!< obituaries. fading The (ar,in ,ho MMMMMMMMMMM is &ost re&ar-able for the ,ay in ,hich he MMMMMMMMMthe attributes of the ,orld class thin-er and head of the household. ;1< co&es. figures ;2< arises. adds ;*< e&erges. co&bines ;!< appeared. co&bines Since her face ,as free of MMMMMMMMMM there ,as no ,ay to MMMMMMMMMM if she appreciated ,hat had happened. ;1< &a-e6up. realise ;2< e0pression. ascertain ;*< e&otion. diagnose ;!< scars. understand In this conte0t. the MMMMMMMMMM of the ?ritish labour &ove&ent is particularly MMMMMMMMMMM . ;1< affair. ,eird ;2< activity. &oving ;*< e0perience. significant ;!< at&osphere. gloo&y Indian intellectuals &ay boast. if they are so inclined. of being MMMMMMMMMM to the &ost elitist a&ong the intellectual MMMMMMMMMMM of the ,orld. ;1< subordinate. traditions ;2< heirs. cli4ues ;*< ancestors. societies ;!< heir. traditions

22.

2*.

2!.

2/.

CAT Sample Paper Sol

6

MANYA CAT

1IR-CTIONS for .uestio s "& to 2*/ Arrange sentences A. ?. C. ( bet,een sentences 1 and B to for& a logical se4uence of si0 sentences. 2B. 1. ?uddhis& is a ,ay to salvation. A. ?ut ?uddhis& is &ore severely analytical. ?. In the Christian tradition there is also a concern for the fate of hu&an society conceived as a ,hole. rather than &erely as a su& or net,or- of individuals. C. Salvation is a property. or achieve&ent of individuals. (. >ot only does it dissolve society into individuals. the individual in turn is dissolved into co&ponent parts and instants. a stea& of events. B. In &odern ter&inology. ?uddhist doctrine is reductionist. ;1< A?C( ;2< C?A( ;*< ?(AC ;!< A?C( 1. The proble& of i&proving Indian agriculture is both a sociological and an ad&inistrative one. A. It also appears that there is a direct relationship bet,een the si1e of a state and develop&ent. ?. The issues of Indian develop&ent. and the proble&s of India’s agricultural sector. ,ill re&ain ,ith us long into the ne0t century. C. 9ithout i&proving Indian agriculture. no liberalisation and delicensing ,ill be able to help India. (. At the end of the day. there has to be a fer&ent and &ove&ent of life and action in the vast seg&ent of rural India. B. 9hen it starts &arching. India ,ill fly. ;1< (A?C ;2< C(?A ;*< AC(? ;!< A?C( 1. Hood literary &aga1ines have al,ays been good because of their editors. A. Gurther&ore. to edit by co&&ittee. as it ,ere. ,ould prevent any &aga1ine fro& finding its o,n identity. ?. The &ore 4uir-y and idiosyncratic they have been. the better the &aga1ine is. at least as a general rule. C. ?ut the nu&ber of editors one can have for a &aga1ine should also be deter&ined by the nu&ber of contributions to it. (. To have four editors for an issue that contains only seven contributions is a bit silly to start ,ith. B. Co,ever. in spite of this ano&aly. the &aga1ine does ac4uire &erit in its atte&pt to give a co&prehensive vie, of the Indian literary scene as it is today. ;1< A?C( ;2< ?C(A ;*< A?(C ;!< C?A( 1. It’s the success story of the Indian e0patriate in the JS ,hich today hogs &uch of the &edia coverage in India. A. East and 9est. the t,ain have &et 4uite co&fortably in their person. than- you. ?. Especially in its &ore recent ro&ancing6the6>%I phase. C. Seldo& does the price of getting there 6 &ore li-e not getting there 6 or ,hat’s going on behind those sunny s&iles get so &uch &edia hype. (. 9ell groo&ed. ,ith their perfect Colgate s&iles. and hair in place. they appear the picture of confidence ,hich co&es fro& having arrived. B. The festival of feature fil&s and docu&entaries &ade by A&ericans of Indian descent being screened this fortnight goes a long ,ay in filling those gaps. ;1< AC?( ;2< (A?C ;*< ?(AC ;!< A?C( 1. The ,ind had savage allies. A. If it had not been for &y closely fitted hel&et. the e0plosions &ight have shattered &y eardru&s. ?. The first clap of thunder ca&e as a deafening e0plosion that literally shoo- &y teeth. C. I didn’t hear the thunderD I actually felt it 66 an al&ost unbearable physical e0perience. (. I sa, lightning all around &e in every shape i&aginable. B. 9hen very close. it began raining so torrentially that I thought I ,ould dro,n in &id6air. ;1< ?CA( ;2< CA(? ;*< C?(A ;!< AC(?

22.

23.

25.

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CAT Sample Paper Sol

7

MANYA CAT

1IR-CTIONS for .uestio s 2' to 2+/ Choose the gra&&atically correct sentence fro& a&ong the four options given. *1. ;1< I a& not one of those ,ho believe everything they hear. ;2< I a& not one of these ,ho believes everything I hear. ;*< I a& not one of those ,ho believes everything he hears. ;!< I a& not one of those ,ho believes in everything one hears. ;1< Cannot one do ,hat one li-es ,ith one’s o,n: ;2< Cannot one do that one li-es to do ,ith his o,n: ;*< Cannot one do that one li-es ,ith his o,n: ;!< Cannot one do ,hat he li-es ,ith his o,n: ;1< There’s 8r. So&. ,ho& they say is the best singer in the country. ;2< There’s 8r. So&. ,ho they say is the best singer in the country. ;*< There is 8r. So&. ,ho& they say is the best singer in the country. ;!< There is 8r. So& ,ho. they say is the best singer in the country. ;1< Each of the students has done ,ell. ;*< Each of the students have done ,ell. ;2< Each of the student has done ,ell. ;!< Each of the student have done ,ell.

*2.

**.

*!. */.

;1< Today ,e love. ,hat to&orro, ,e hateD today ,e see-. ,hat to&orro, ,e shun. today ,e desire. ,hat to&orro, ,e fear. ;2< Today. ,e love ,hat to&orro, ,e hate. today. ,e see- ,hat to&orro, ,e shun. today. ,e desire ,hat to&orro, ,e fear. ;*< Today ,e love ,hat to&orro, ,e hate. today ,e see- ,hat to&orro, ,e shun. today ,e desire ,hat to&orro, ,e fear. ;!< Today ,e love ,hat to&orro, ,e hateD today ,e see- ,hat to&orro, ,e shunD today ,e desire ,hat to&orro, ,e fear.

1IR-CTIONS for .uestio s 2& to 0*/ In each of the follo,ing 4uestions a part of a paragraph or sentence has been underlined. Gro& the choices given. you are re4uired to choose the one ,hich ,ould best replace the underlined part. *B. 'ictory is everything in the Indian universe and Tendul-ar ,ill be e0pected to translate his genius to that effect. To conte&plate any other option is to conte&plate the ris- of failure. ;1< To conte&plate any other action is to conte&plate the ris- of failure. ;2< Gailure is not an action that can be conte&plated. ;*< Any other action has the potential of failure. ;!< Gailure is not an option. In 8artin A&is’ ne, novel. the narrator is trapped 66 and hurtling to,ards a terrible secret. Its resolution. and the dreadful revelations it brings. ally to give an e0cruciating vision of guilt. ;1< ally to give an e0cruciating vision of guilt. ;2< to us give a vivid picture of guilt. ;*< is a painful picture of a guilt6ridden ,orld. ;!< does not really solve all the 4uestions in the narrator’s &ind. Co, &any ti&es have I as-ed &yselfL ,hen is the ,orld going to start to &a-e sense: There is a &onster out there. and it is rushing to,ards &e over the uneven ground of consciousness. ;1< There is a &onster out there ;2< It is as if the ,orld is on &y shoulders ;*< The ans,er is out there so&e,here ;!< There is a sea of sensibility in &e. Conte&plating ,hether to e0ist ,ith an insatiable ro&antic te&pera&ent. he ,as the author and largely the [email protected] of a nu&ber of &e&orable novels. ;1< Conte&plating ,hether to e0ist ;2< Co&bining realistic detail ;*< 8iscegenating a brilliant &ind ;!< A,are that he had been born

*2.

*3.

*5.

CAT Sample Paper Sol

8

MANYA CAT

!".

In a penetrating study. C?S6T' focuses on those people ,ithout hope. ,hose bodies are cared for by ,elfare aid. but ,hose spirit is often neglected by a disinterested society. ;1< ,hose bodies are cared for by ,elfare aid;2< ,ho do not have enough to eat ;*< ,hose hopelessness &ay be alleviated ;!< ,ho &ay be physically satiated S-CTION – II

CAT Sample Paper Sol

9

MANYA CAT

!2.

!*.

CAT Sample Paper Sol

10

MANYA CAT

!/.

!B. !2.

!3.

!5.

CAT Sample Paper Sol

11

MANYA CAT

/1.

/2.

/*.

CAT Sample Paper Sol

12

MANYA CAT

/!.

9hich of the follo,ing &ay be called the &ain co&plaint of the author: ;1< The race of people he belongs to are looters and plunderers. ;2< The capitalists are ta-ing over the entire ,orld. ;*< It is a ,ay of life for English ladies to loot and plunder. ;!< The English ta0payer has to pay for the up-eep of territories he did not ,ant. PASSA4- – III

Hovern&ents loo-ing for easy popularity have fre4uently been te&pted into announcing give6a,ays of all sortsD free electricity. virtually free ,ater. subsidised food. cloth at half price. and so on. The subsidy culture has gone to e0tre&esL coo-ing gas used &ostly by the top 1"= of inco&e6earners\$ has been sold at barely half its cost. The ,ealthiest people in the country have had access for years to subsidised sugar. The richest far&ers in the country get subsidised fertiliser. Jniversity education. typically accessed by the ,ealthier sections. is charged at a fraction of cost. +ostal services are subsidised. and so are rail,ay passengers. ?us fares cannot be raised to econo&ical levels because there ,ill be violent protests. so bus travel is subsidised too. In the past. price control on a variety of ite&s. fro& steel to ce&ent. &eant that industrial consu&ers of these ite&s got the& at less than cost ,hile the losses of the public sector co&panies that produced the& ,ere borne by the ta0payerE Ine study. done a fe, years ago. ca&e to the conclusion that subsidies in the Indian econo&y total as &uch as 1!./= of gross do&estic product. At today’s level. that ,ould ,or- out to about %s. 1/".""" crore. And ,ho pays the bill: The theory 66 and the political fiction on the basis of ,hich it is sold to unsuspecting voters 66 is that subsidies go to the poor. and are paid for by the rich. The fact is that &ost subsidies go to the PrichQ defined in the Indian conte0t as those ,ho are above the poverty line\$. and &uch of the tab goes indirectly to the poor. ?ecause the hefty subsidy bill results in fiscal deficits. ,hich in turn push up rates of inflation 66 ,hich. as everyone -no,s. hits the poor the hardest of all. Indeed. that is ,hy ta0&en call inflation the &ost regressive for& of ta0ation. The entire subsidy syste& is built on the thesis that people cannot help the&selves. therefore govern&ents &ust do so. That people cannot afford to pay for a variety of goods and services. and therefore the govern&ent &ust step in. This thesis has been applied not @ust in the poor countries but in the rich ones as ,ellD hence the birth of the ,elfare state in the 9est. and an al&ost Jtopian social security syste&L free &edical care. food aid. old age security. et al. ?ut ,ith the passage of ti&e. &ost of the ,ealthy nations have discovered that their econo&ies cannot sustain this social safety net. that it in fact reduces the desire a&ong people to pay their o,n ,ay. and ta-es a,ay so&e of the incentive to ,or-. In short. the bill ,as unaffordable. and their societies ,ere si&ply not ,illing to pay. To the regret of &any. but because the la,s of econo&ics are harsh. &ost 9estern societies have been busy pruning the ,elfare bill. In India. the lessons of this e0perience 66 over several decades. and in &any countries 66 do not see& to have been learnt. Ir. they are si&ply ignored in the pursuit of i&&ediate votes. +eople ,ho are pro&ised cheap food or clothing do not in &ost cases loo- beyond the gift horses 66 to the 4uestion of ,ho pic-s up the tab. The uproar over higher petrol. diesel and coo-ing gas prices ignored this basic 4uestionL if the user of coo-ing gas does not ,ant to pay for its cost. ,ho should pay: (iesel in the country is subsidised. and if the truc-er or o,ner of a diesel generator does not ,ant to pay for its full cost. ,ho does he or she thin- should pay the balance of the cost: It is a si&ple 4uestion. nevertheless it re&ains unas-ed. The govern&ent has sho,n so&e courage in biting the bullet ,hen it co&es to the price of petroleu& products. ?ut it has been bitten by a &uch bigger subsidy bug. It ,ants to offer food at half its cost to everyone belo, the poverty line. supposedly esti&ated at so&e *3" &illion people. 9hat ,ill this cost: And. of course. ,ho ,ill pic- up the tab: The Andhra +radesh govern&ent has been ban-rupted by selling rice at %s 2 per -g. Should the central govern&ent be ban-rupted too before facing up to the 4uestion of ,hat is affordable and ,hat is not: Already. India is perennially short of po,er because the subsidy on electricity has ban-rupted &ost electricity boards. and &ade private invest&ent ,ary unless it gets all &anner of state guarantees. (elhi’s subsidised bus fares have ban-rupted the (elhi Transport Corp. ,hose buses have slo,ly disappeared fro& the capital’s streets. It is easy to be soft and senti&ental. by loo-ing at progra&&es that ,ill be popular. After all. ,ho doesn’t li-e a free lunch: ?ut the evidence is surely &ounting that the lunch isn’t free at all. So&ebody is paying the bill. And if you ,ant to -no, ,ho. ta-e a loo- at the country’s poor econo&ic perfor&ance over the years.

CAT Sample Paper Sol

13

MANYA CAT

//.

If can be inferred fro& the passage that the authorL ;1< believes that people can help the&selves and do not need the govern&ent. ;2< believes that the theory of helping people ,ith subsidy is destructive. ;*< believes in de&ocracy and free speech. ;!< is not a successful politician.

CAT Sample Paper Sol

14

MANYA CAT

/B.

The state&ent that subsidies are paid for by the rich and go to the poor isL ;1< fiction ;2< fact ;*< fact. according to the author ;!< fiction. according to the author 9hich of the follo,ing is not true. in the conte0t of the passage: ;1< 9here subsidies are concerned. the poor ulti&ately pay the tab. ;2< Inflation is caused by too &uch subsidies. ;*< E0perts call subsidies the &ost regressive for& of ta0ation. ;!< The dangerous reduction in fiscal deficits is another result of high subsidies. 9hy does the author calls the 9estern social security syste& Jtopian: ;1< The countries’ belief in the efficacy of the syste& ,as bound to turn out to be false. ;2< The syste& follo,ed by these countries is the best available in the present conte0t. ;*< Every thing under this syste& ,as supposed to be free but people ,ere charging &oney for the&. ;!< The theory or syste& follo,ed by these countries ,as devised by (r Jtopia. A suitable title to the passage ,ould beL ;1< There’s no such thing as a free lunch. ;*< The govern&ent and its follies.

/2.

/3.

/5.

;2< The Indian Econo&ic overvie,. ;!< It ta-es t,o to tango.

B".

9hich of the follo,ing is not a victi& of e0tre&e subsidies: ;1< The poor ;2< The (elhi Transport Corporation ;*< The Andhra +radesh govern&ent ;!< All of the above. PASSA4- – I5

The &e&brane6bound nucleus is the &ost pro&inent feature of the eu-aryotic cell. Schleiden and Sch,ann. ,hen setting forth the cell doctrine in the 13*"’s. considered that it had a central role in gro,th and develop&ent. Their belief has been fully supported even though they had only vague notions as to ,hat that role &ight be. and ho, the role ,as to be e0pressed in so&e cellular action. The &e&braneless nuclear area of the pro-aryotic cell. ,ith its tangle of fine threads. is no, -no,n to play a si&ilar role. So&e cells. li-e the sieve tubes of vascular plants and the red blood cells of &a&&als. do not possess nuclei during the greater part of their e0istence. although they had nuclei ,hen in a less differentiated state. Such cells can no longer divide and their life span is li&ited. Ither cells are regularly &ultinucleate. So&e. li-e the cells of striated &uscles or the late0 vessels of higher plants. beco&e so through cell fusion. So&e. li-e the unicellular proto1oan +ara&eciu&. are nor&ally binucleate. one of the nuclei serving as a source of hereditary infor&ation for the ne0t generation. the other governing the day6to6day &etabolic activities of the cell. Still other organis&s. such as so&e fungi. are &ultinucleate because cross ,alls. dividing the &yceliu& into specific cells. are absent or irregularly present. The uninucleate situation. ho,ever. is typical for the vast &[email protected] of cells. and it ,ould appear that this is the &ost efficient and &ost econo&ical &anner of partitioning living substance into &anageable units. This point of vie, is given credence not only by the prevalence of uninucleate cells. but because for each -ind of cell there is a ratio &aintained bet,een the volu&e of the nucleus and that of the cytoplas&. If ,e thin- of the nucleus as the control centre of the cell. this ,ould suggest that for a given -ind of cell perfor&ing a given -ind of ,or-. one nucleus can Pta-e care ofQ a specific volu&e of cytoplas& and -eep it in functioning order. In ter&s of &aterials and energy. this &ust &ean providing the -ind of infor&ation needed to -eep flo, of &aterials and energy &oving at the correct rate and in the proper channels. 9ith the &ultitude of en1y&es in the cell. &aterials and energy can of course be channelled in a &ultitude of ,aysD it is the function of so&e infor&ational &olecules to &a-e channels of use &ore preferred than others at any given ti&e. Co, this regulatory control is e0ercised is not entirely clear. The nucleus is generally a rounded body. In plant cells. ho,ever. ,here the centre of the cell is often occupied by a large vacuole. the nucleus &ay be pushed against the cell ,all. causing it to assu&e a lens shape. In so&e ,hite blood cells. such as poly&orphonucleated leu-ocytes. and in cells of the spinning gland of so&e insects and spiders. the nucleus is very &uch lobed. The reason for this is not clear. but it &ay relate to the fact that for

CAT Sample Paper Sol

15

MANYA CAT

a given volu&e of nucleus. a lobate for& provides a &uch greater surface area nuclear6cytoplas&ic e0changes. possibly affecting both the rate and the a&ount of &etabolic reactions. The nucleus. ,hatever its shape. is segregated fro& the cytoplas& by a double &e&brane. the nuclear envelope. ,ith the t,o &e&branes separated fro& each other by a perinuclear space of varying ,idth. The envelope is absent only during the ti&e of cell division. and then @ust for a brief period. The outer &e&brane is often continuous ,ith the &e&branes of the endoplas&ic reticulu&. a possible retention of an earlier relationship. since the envelope. at least in part. is for&ed at the end of cell division by coalescing frag&ents of the endoplas&ic reticulu&. The cytoplas& side of the nucleus is fre4uently coated ,ith riboso&es. another fact that stresses the si&ilarity and relation of the nuclear envelope to the endoplas&ic reticulu&. The inner &e&brane see&s to possess a crystalline layer ,here it abuts the nucleoplas&. but its function re&ains to be deter&ined. Everything that passes bet,een the cytoplas& and the nucleus in the eu-aryotic cell &ust transverse the nuclear envelope. This includes so&e fairly large &olecules as ,ell as bodies such as riboso&es. ,hich &easure about 2/ && in dia&eter. So&e passage,ay is. therefore. obviously necessary since there is no indication of dissolution of the nuclear envelope in order to &a-e such &ove&ent possible. The nuclear pores appear to be reasonable candidates for such passage,ays. In plant cells these are irregularly and rather sparsely distributed over the surface of the nucleus. but in the a&phibian oocyte. for e0a&ple. the pores are nu&erous. regularly arranged. and octagonal and are for&ed by the fusion of the outer and inner &e&brane. B1. According to the first paragraph. the contention of Schleiden and Sch,ann that the nucleus is the &ost i&portant part of the cell hasL ;1< been proved to be true. ;2< has been true so far but false in the case of the pro-aryotic cell ;*< is only partially true. ;!< has been proved to be co&pletely false. 9hat is definitely a function of the nuclei of the nor&ally binucleate cell: ;1< To arrange for the gro,th and nourish&ent if the cell. ;2< To hold hereditary infor&ation for the ne0t generation. ;*< To &a-e up the basic physical structure of the organis&. ;!< To fight the various foreign diseases attac-ing the body. It &ay be inferred fro& the passage that the vast &[email protected] of cells areL ;1< 8ultinucleate ;2< ?inucleate ;*< Jninucleate 9hy. according to the passage. are so&e fungi &ultinucleate: ;1< ?ecause they need &ore food to survive. ;2< ?ecause they fre4uently lac- ,alls dividing the &yceliu&. ;*< ?ecause the &yceliu& is area6,ise &uch bigger that other cells. ;!< Cannot be deter&ined fro& the passage. 9hy. according to the passage. is the poly&orphonucleated leu-ocyte probably lobed: ;1< ?ecause it is 4uite convoluted in its functions. ;2< ?ecause it is a red blood cell ,hich is the &ost i&portant cell in the body. ;*< ?ecause it provides a greater area for &etabolic reaction. ;!< ?ecause it provides greater strength to the spider ,eb due to greater area. The function of the crystalline layer of the inner &e&brane of the nucleus isL ;1< generation of nourish&ent of the cell. ;2< holding together the disparate structure of the endoplas&ic reticulu&. ;*< helping in transversal of the nuclear envelope. ;!< cannot be deter&ined fro& the passage. ;!< Anucleate.

B2.

B*. B!.

B/.

BB.

CAT Sample Paper Sol

16

MANYA CAT

CAT Sample Paper Sol

17

MANYA CAT

B5.

2".

21.

22.

2*.

2!.

CAT Sample Paper Sol

18

MANYA CAT

+erhaps the PfunQ of an election lies in its featuring so&eone ,ho you can love or hate. ?ut even the general election. involving nearly B"" &illion voters. has been reduced to a boring non6event. After all. the >ehru6 Handhi clan has disappeared fro& the political &ap. and the &[email protected] of voters ,ill not even be able to na&e +' >arasi&ha %ao as India’s +ri&e 8inister. There could be as &any as a do1en pri&e &inisterial candidates ranging fro& 7yoti ?asu to %a&a-rishna Cegde. and fro& Chandra She-ar to believe it or not\$ R% >arayanan. The sole personality ,ho stands out. therefore. is none of the players. but the u&pireL T.>. Seshan. As for the parties. they are li-e the blind &en of Cindoostan. trying in vain to gauge the contours of the ani&al they have to confront. ?ut it doesn’t loo- as if it ,ill be the &andir &[email protected] nor ,ill it be Cindutva. or econo&ic nationalis&. The Congress ,ould li-e it to be stability. but ,hat does that &ean for the &[email protected]: Econo&ic refor& is a non6issue for &ost people and ,ith inflation do,n to barely !=. prices are not top of the &ind either. In a strange t,ist. after the ha,ala scandal. corruption has been pushed off the &ap too. ?ut ponder for a &o&ent. Isn’t this state of affairs astonishing given the conte0t: Consider that so &any &inisters have had to resign over the ha,ala issueD that a governor ,ho ,as a cabinet &inister has also had to 4uit in the ,a-e of @udicial displeasureD that the pri&e &inister hi&self is under investigation for his involve&ent in not one scandal but t,oD that the &ain pri&e &inisterial candidate fro& the opposition has had to ho, out because he too has been charged in the ha,ala caseD and that the head of the Pthird forceQ has his o,n little or not so little\$ fodder scandal to face. 9hy then is corruption not an issue 66 not as a &atter of co&petitive politics. but as an issue on ,hich the contenders for po,er feel they have to offer the prospect of genuine change: If all this does not &a-e the parties al&ost all of ,ho& have bro-en the la, in not sub&itting their audited accounts every year to the inco&e ta0 authorities\$ realise that the country both needs 66 and is ready for 66 change in funda&ental ,ays. ,hat ,ill: Thin- also. for a &o&ent. of the change in the functioning and attitude of the Supre&e CourtD the assertiveness of the Election Co&&ission. giving ne, life to a &odel code of conduct that has been ignored for a 4uarter centuryD the independence that has been thrust upon the Central ?ureau of InvestigationD and the fresh 1eal on the part of ta0 collectors out to nab corporate no6gooders. Thin- also that at no other point since the E&ergency of 152/622 have so &any people in po,er been hounded by the syste& for their &isdeeds. In this @ust a case of a fe, individuals outside the political syste& doing their @ob. or is the country heading for a fe, era: The seventies sa, the collapse of the national consensus that &ar-ed the >ehruvian era. and ideology too- over in the Indira Handhi years. %[email protected] Handhi and his technocratic friends too buried that. And no,. ,e have these issue6less elections. Ine possibility is that the country is heading for a period of constitutionlis&. as the other ar&s of the state reclai& so&e of the po,ers they lost. or yielded. to the political establish&ent. Econo&ic refor& freed one part of Indian society fro& the clutches of the political class. >o,. this could spread to other parts of the syste&. Against such a dra&atic bac-drop. it should be obvious that people voters\$ are loo-ing for accountability. for ,ays in ,hich to &a-e a corrupted syste& ,or- again. And the astonishing thing is that no party has sought to ride this particular ,aveD instead. all are on the defensive. desperately evading the real issues. >o ,onder this is an Pissue6lessQ election. 2/. A suitable title to the passage ,ould beL ;1< ElectionsL A over,ie, ;*< T.>. Seshan 6 the real hero. ;2< The country’s issue6less elections. ;!< Nove or hate the&. but vote for the&.

2B.

9hich of the follo,ing are not under scrutiny for alleged corruption. according to the passage: ;1< The opposition pri&e &inisterial candidate. ;2< +.'. >arasi&ha %ao. ;*< The leader of the Fthird force’. ;!< %a&a-rishna Cegde. 9hy does the author say that the sole personality ,ho stands out in the elections is T. >. Seshan: ;1< ?ecause all the other candidates are very boring. ;2< ?ecause all the other candidates do not have his charis&a. ;*< ?ecause the shado, of his strictures are loo&ing large over the elections. ;!< >one of the above. According to the passage. ,hich of the follo,ing is not &entioned as even having the potential to be an issue in the elections: ;1< The &andirS&[email protected] issue. ;2< The e&po,er&ent of ,o&en ;*< Econo&ic >ationalis& ;!< Cindutva 9hy does the author say that al&ost all parties have bro-en the la,: ;1< ?ecause they all indulge in corrupt electoral practices.

22.

23.

25.

CAT Sample Paper Sol

19

MANYA CAT

;2< ?ecause they all have &ore inco&e than recorded sources. ;*< ?ecause they are all indicted on various charges. ;!< ?ecause they have failed to sub&it audited accounts to ta0 authorities. 3". 9hich of the follo,ing has not been responsible for the ,inds of change blo,ing through the country. according to the passage: ;1< Hreater a,areness of the part of the general public ;2< Enforce&ent of a &odel code of conduct by the Election Co&&ission ;*< Hreater independence to the Central ?ureau of Investigation. ;!< Gresh 1eal on the part of ta0 collectors. S-CTION – III Number of .uestio s/ 0* 1IR-CTIONS for .uestio s 3' to 6*/ The follo,ing 4uestions are independent of each otherL 31. Gro& a circular sheet of paper ,ith a radius of 2" c&. four circles of radius /c& each are cut out. 9hat is the ratio of the uncut to the cut portion: ;1< 1 L * ;2< ! L 1 ;*< * L 1 ;!< ! L * T,o li4uids A and ? are in the ratio / L 1 in container 1 and in container 2. they are in the ratio 1 L *. In ,hat ratio should the contents of the t,o containers be &i0ed so as to obtain a &i0ture of A and ? in the ratio 1 L 1: ;1< 2 L * ;2< ! L * ;*< * L 2 ;!< * L ! Iut of t,o6thirds of the total nu&ber of bas-et6ball &atches. a tea& has ,on 12 &atches and lost * of the&. 9hat is the &a0i&u& nu&ber of &atches that the tea& can lose and still ,in three6fourths of the total nu&ber of &atches. if it is true that no &atch can end in a tie: ;1< ! ;2< B ;*< / ;!< * A closed ,ooden bo0 of thic-ness "./ c& and length 21 c&. ,idth 11 c&. and height B c&. is painted on the inside. The cost of painting is %s 2". 9hat is the rate of painting in rupees per s4. c&: ;1< ".2 ;2< "./ ;*< ".1 ;!< ".2 If a nu&ber 22!5/3A5B? is to be divisible by 3 and 5. the values of A and ?. respectively. ,ill beL ;1< 2.3 ;2< 3." ;*< /.3 ;!< >one of these Ince I had been to the post6office to buy sta&ps of cler- %s 2". and since he did not have change. he nu&ber of sta&ps of each type that I had ordered nu&ber of sta&ps that I bought: ;1< 1" ;2< 5 ;*< 12 five rupees. t,o rupees and one rupee. I paid the gave &e three &ore sta&ps of one rupee. If the initially ,as &ore than one. ,hat ,as the total ;!< 3

32.

3*.

3!.

3/. 3B.

32.

Hiven the 4uadratic e4uation 02 6 A 6 *\$ 0 6 A 6 2\$ T ". for ,hat value of A ,ill the su& of the s4uares of the roots be 1ero: ;1< 6 2 ;2< * ;*< B ;!< >one of these I sold t,o ,atches for %s. *"" each. one at a loss of 1"= and the other at a profit of 1"=. 9hat is the percent loss 6 \$ or the percent profit U\$ that resulted fro& the transaction: ;1< U\$ 1" ;2< 6\$ 1 ;*< U\$ 1 ;!< " The price of a 8aruti car rises by *"= ,hile the sales of the car ca&e do,n by 2"=. 9hat is the percent change in the total revenue: ;1< 6 ! ;2< 6 2 ;*< U ! ;!< "

33.

35.

CAT Sample Paper Sol

20

MANYA CAT

5".

In triangle A?C. angle ? is a right angle. If AC is B c&. and ( is the &id6point of side AC. the length of ?( isL A ( ? ;2< √B c& C ;*< * c&

;1< ! c&

;!< *./ c&

1IR-CTIONS for .uestio s 6' a d 6"/ Ans,er the 4uestions based on the follo,ing infor&ationL6 A. S. 8 and ( are functions of 0 and y. and they are defined as follo,sL A 0. y\$ T 0 U y S 0. y\$ T 0 6 y 8 0. y\$ T 0y ( 0. y\$ T 0Sy. ,here y ≠ ". 51. 52. 9hat is the value of 8 8 A 8 0. y\$. S y.0\$\$. 0\$. A y. 0\$\$ for 0 T 2. y T * ;1< /" ;2< 1!" ;*< 2/ ;!< 2" 9hat is the value of S 8 ( A a. b\$. 2\$. ( A a. b\$.2\$\$. 8 ( S a. b\$. 2\$. ( S a. b\$.2\$\$\$ ;1< aV U bV ;2< ab ;*< aV 6 bV ;!< aSb

1IR-CTIONS for .uestio s 62 to 6+/ The follo,ing 4uestions are independent of each otherL 5*. In the figure FI’ is the center of the circle and +T is the tangent to the circle at T. If +C T ! c& and +T T 3 c&. find the radius of the circle. T ? I C +

;1< /./ c& 5!.

;2< B./ c&

;*< B c&

;!< 2 c&

9hich of the follo,ing value of 0 do not satisfy the ine4uality 0V 6 *0 U 2 W "\$ at all: ;1< 1 ≤ × ≤ 2 ;2< 6 1 ≥ 0 ≥ 6 2 ;*< " ≤ 0 ≤ 2 ;!< " ≥ 0 ≥ 6 2 A &an travels three6fifths of distance A? at a speed of *a. and the re&aining at a speed of 2b. If he goes fro& ? to A and bac- at a speed of /c in the sa&e ti&e. thenL ;1< 1Sa U 1Sb T 1Sc ;2< a U b T c ;*< 1Sa U 1Sb T 2Sc ;!< >one of these

5/.

1IR-CTIONS for .uestio s 6& a d 67/ Ans,er the 4uestions based on the follo,ing dataL A sales&an enters the 4uantity sold and the price into the co&puter. ?oth the nu&bers are t,o6digit nu&bers. Ince. by &ista-e. both the nu&bers ,ere entered ,ith their digits interchanged. The total sales value re&ained the sa&e. i.e. %s. 11!3. but the inventory reduced by /!. 5B. 52. 9hat is the actual price per piece: ;1< 32 ;2< !1 ;*< /B 9hat is the actual 4uantity sold: ;1< 23 ;2< 1! ;*< 32 ;!< 23 ;!< !1

CAT Sample Paper Sol

21

MANYA CAT

1IR-CTIONS for .uestio s 63 a d 66/ In a locality. there are five s&all to,ns. A. ?. C. ( and E. The distances of these to,ns fro& each other are as follo,sL A? T 2-& AC T 2 -& A( W 2 -& AE W * -& ?C T 2-& ?( T ! -& ?E T * -& C( T 2 -& CE T *-& (E W * -& 53. 55. If a ration shop is to be set up ,ithin 2 -& of each city. ho, &any ration shops ,ill be re4uired: ;1< 2 ;2< * ;*< ! ;!< / If a ration shop is to be set up ,ithin * -& of each city. ho, &any ratio shops ,ill be re4uired: ;1< 1 ;2< 2 ;*< * ;!< !

1IR-CTIONS for .uestio s '** to '*2/ Choose the best alternativeL 1"". The cost of a dia&ond varies directly as the s4uare of its ,eight. Ince. this dia&ond bro-e into four pieces ,ith ,eights in the ratio 1 L 2 L * L !. 9hen the pieces ,ere sold. the &erchant got %s. 2".""" less. Gind the original price of the dia&ond. ;1< %s. 1.! la-h ;2< %s. 2." la-h ;*< %s. 1." la-h ;!< %s. 2.1 la-h A cube of side 12 c& is painted red on all the faces and then cut into s&aller cubes. each of side * c&. 9hat is the total nu&ber of s&aller cubes having none of their faces painted: ;1< 1B ;2< 3 ;*< 12 ;!< 2! The points of intersection of three lines. 2X U *A 6 / T ". /X 6 2A U 2 T ". and 5X 6 /A 6 ! T "L ;1< for& a triangle. ;2< are on lines perpendicular to each other. ;*< are on lines parallel to each other. ;!< are coincident. If n is any odd nu&ber greater than 1. then n nV 6 1\$ is ;1< divisible by !3 al,ays ;2< divisible by 2! al,ays ;*< divisible by ! al,ays ;!< >one of these

1"1.

1"2.

1"*.

1IR-CTIONS for .uestio s '*0 to '*3/ Each ite& has a 4uestions follo,ed by t,o state&ents. 8ar- ;1< if the 4uestion can be ans,ered ,ith the help of state&ent 1 alone 8ar- ;2< if the 4uestion can be ans,ered ,ith the help of state&ent 2 alone. 8ar- ;*< if the 4uestion can be ans,ered ,ith the help of both state&ents but not ,ith the help of either state&ent alone. 8ar- ;!< if the 4uestion cannot be ans,ered even ,ith the help of both the given state&ents. 1"!. 1"/. 1"B. 9hat is the radius of the inscribed circle of triangle A?C: I. The area of the triangle is 2" c&V II. The peri&eter of the triangle is 2" c&. 9hat is the value of R: I. 50V U -0 U 2/ is the perfect s4uare. II. Y-Y T 6 -

Is the area of triangle A?C e4ual to that of triangle (EG: The triangles are inscribed in the sa&e circle. I. Their peri&eters are e4ual. II. The angles of triangles A?C are respectively e4ual to the angles of triangle (EG. A?C is a right triangle. ,ith the right angle at ?. ?( is the bisector of angle ?. Is A( W (C: I. C T !"Z II. Cypotenuse AC T 1/ c&. 9hich has the greater areaL rho&bus A?C( or s4uare +#%S: I. +eri&eter of rho&bus T 3 and one angle &easures *"Z. II. +eri&eter of s4uare T !.

1"2. 1"3.

CAT Sample Paper Sol

22

MANYA CAT

1IR-CTIONS for .uestio s '*6 to ''2/ Choose the best alternative 1"5. The figures sho,s a circle of dia&eter A? and radius B./ c&. If chord CA is / c& long. find the area of triangle A?C. C

A ;1< B" s4.c&. 11". ;2< *" s4.c&

? ;*< !" s4.c&. ;!< /2 s4.c&.

In a locality. t,o6thirds of the people have cable6T'. one6fifth have 'C%. and one6tenth have both. ,hat is the fraction of people having either cable T' or 'C%: ;1< 15S*" ;2< *S/ ;*< 12S*" ;!< 2*S*" If A?C( is a s4uare and ?CE is an e4uilateral triangle. ,hat is the &easure of the angle (EC: A ? E ( ;1< 1/" ;2< *"o C ;*< 2"" ;!< !/"

111.

112.

I bought / pens. 2 pencils and ! erasers. %[email protected] bought B pens. 3 erasers and 1! pencils for an a&ount ,hich ,as half &ore than ,hat I had paid. 9hat percent of the total a&ount paid by &e ,as paid for the pens: ;1< *2./= ;2< B2./= ;*< /"= ;!< >one of these (istance bet,een A and ? is 22 -&. T,o &en started ,al-ing fro& A and ? at the sa&e ti&e to,ards each other. The person ,ho started fro& A travelled unifor&ly ,ith average speed ! -&ph. 9hile the other &an travelled ,ith varying speeds as follo,sL In first hour his speed ,as 2 -&ph. in the second hour it ,as 2./ -&ph. in the third hour it ,as * -&ph. and so on. 9hen ,ill they &eet each other: ;1< 2 hours ;2< 1" hours ;*< */ -& fro& A ;!< &id,ay bet,een A ) ?

11*.

1IR-CTIONS for .uestio s ''0 a d ''+/ Jse the follo,ing infor&ationL A ,atch dealer incurs an e0pense of %s 1/" for producing every ,atch. Ce also incurs an additional e0penditure of %s. *".""". ,hich is independent of the nu&ber of ,atches produced. If he is able to sell a ,atch during the season. he sells it for %s. 2/". If he fails to do so. he has to sell each ,atch for %s. 1"". 11!. If he is able to sell only 12"" out of the 1/"" ,atches he has &ade in the season. then he has &ade a profit ofL ;1< %s. 5".""" ;2< %s. 2/.""" ;*< %s. !/.""" ;!< %s. B".""" If he produces 1/"" ,atches. ,hat is the nu&ber of ,atches that he &ust sell during the season in order to brea- even. given that he is able to sell all the ,atches produced: ;1< /"" ;2< 2"" ;*< 3"" ;!< 1."""

11/.

CAT Sample Paper Sol

23

MANYA CAT

1IR-CTIONS for .uestio s ''& to '"*/ The follo,ing 4uestions are independent of each otherL 11B. A &an travels for& A to ? at a speed of 0 -&ph. Ce then rests at ? or 0 hours. Ce then travels fro& ? to C at a speed of 20 -&ph and rests at C for 20 hours. Ce &oves further to ( at a speed t,ice as that bet,een ? and C. Ce thus reaches ( in 1B hours. If distances A6?. ?6C. C6( are all e4ual to 12 -&. the ti&e for ,hich he rested at ? could beL ;1< * hours ;2< B hours ;*< 2 hours ;!< ! hours Instead of a &etre scale. a cloth &erchant uses a 12" c& scale ,hile buying. but uses an 3" c& scale ,hile selling the sa&e cloth. If he offers a discount of 2" percent on cash pay&ent. ,hat is his overall percent profit: ;1< 2"= ;2< 2/= ;*< !"= ;!< 1/= A &an has nine friends. four boys and five girls. In ho, &any ,ays can he invite the&. if there have to be e0actly three girls in the invitees: ;1< *2" ;2< 1B" ;*< 3" ;!< 2"" In a ,atch. the &inute hand crosses the hour hand for the third ti&e e0actly after every * hrs 13 &in 1/ seconds of ,atch ti&e. 9hat is the ti&e gained or lost by this ,atch in one day: ;1< 1! &in 1" seconds lost ;2< 1* &in /" seconds lost ;*< 1* &in 2" second gained ;!< 1! &in !" second gained. In a &ile race A-shay can be given a start of 123 &etres by ?hairav. If ?hairav can given Chin&ay a start of ! &etres in a 1"" &etres dash. then ,ho out of A-shay and Chin&ay ,ill ,in a race of one and half &ile. and ,hat ,ill be the final lead given by the ,inner to the loser: Ine &ile is 1B"" &etres\$. ;1< A-shay. 1S12 &iles ;2< Chin&ay. 1S*2 &iles ;*< A-shay. 1S2! &iles ;!< Chin&ay. 1S1B &iles

112.

113.

115.

12".

CAT Sample Paper Sol

24

MANYA CAT

Sectio I5 1irectio s for .uestio s '"' to '"+/ Hhosh ?abu surveyed his co&panies and obtained the follo,ing data.Inco&e ta0 is paid fro& +rofit ?efore Ta0 and the re&aining a&ount is apportioned to (ividend and %etained Earnings.The %etained Earnings ,ere accu&ulated into %eserves.The reserves at the beginning of 1551 ,ere %s.3" la-h.

89i!\$I Rs\$la(h: Share capital Sales +rofit ?efore ta0 (ividends %etained earnings

'660 *1" B!*/ 25" 11" !""

'662 2"/ !22/ /2/ B" 2!/

'66" 53 2B2" 12" *" 2"

'66' 53 *22" *1/ *" 1!"

121. 122. 12*.

In ,hich year ,ere the sales per rupee of share capital highest: a\$1551 b\$1552 c\$155* d\$155! In ,hich year ,as the percentage addition to reserves over previous years reserves the highest: a\$1551 b\$1552 c\$155* d\$155! In ,hich year ,as the ta0 per rupee of profit before ta0 lo,est: a\$1551 b\$1552 c\$155* d\$155!

12!.

In ,hich year the profit before ta0 per rupee of sales ,as the highest: a\$1551 b\$1552 c\$155* d\$155!

12/.

A&ount of the reserves at the end of 155! is a\$ 5*/ b\$ 51/ c\$ 2*" d\$ >one of these

1IR-CTIONS for .uestio s '"& to '2*/ Ans,er the 4uestions based on the follo,ing table. ,hich gives data about certain coffee producers in IndiaL +roduction Capacity Sales F""" Total Sales F""" tones\$ Jtilisation =\$ tonnes\$ 'alue %s. Cr.\$ ?roo-e ?ond 2.52 2B./" 2.// *1.1/ >estle 2.!3 21.2" 2."* 2B.2/ Nipton 1.B! B!.3" 1.2B 1/.2/ 8AC 1./! /5.*/ 1.!2 12.!/ Total incl. Ithers\$ 11.B" B1.*" 1".B2 1*2.3" 12B. 122. 9hat is the &a0i&u& production capacity in F""" tonnes\$ of Nipton for coffee: ;1< 2./* ;2< 2.3/ ;*< 2.2! ;!< 2."2 The highest price of coffee per -g is for

CAT Sample Paper Sol

25

MANYA CAT

;1< >estle 123\$ 125. 1*".

;2< 8AC

;*< Nipton

;!< ?ro-e ?ond

9hat percent of the total &ar-et share by Sales 'alue\$ is controlled by PIthersQ: ;1< B"= ;2< *2= ;*< B2= ;!< Insufficient data. 9hat appro0i&ately is the total production capacity in tonnes\$ for coffee in India: ;1< 13. 1"" ;2< 2". *"" ;*< 13.5"" ;!< Insufficient data. 9hich co&pany out of the four co&panies &entioned above has the &a0i&u& unutilised capacity in F""" tonnes\$: ;1< Nipton ;2< >estle ;*< ?roo-e ?ond ;!< 8AC

1IR-CTIONS for .uestio s '2' to '2+/ Jse the follo,ing dataL 8ulaya& Soft,are Co.. before selling a pac-age to its clients. follo,s the given scheduleL 8onth 162 *6! /63 561" 1161/ Stage Specification (esign Coding Testing 8aintenance Cost %s. F""" per &an6&onth\$ !" 2" 1" 1" 1"

The nu&ber of people e&ployed in each &onth isL 8onth >o. of e&ployed 1*1. people 1 2 2 * * ! ! * / ! B / 2 / 3 ! 5 ! 1" 1 11 * 12 * 1* 1 1! 1 1/ 1

(ue to overrun in (esign. the (esign stage too- three &onths. i.e. &onths *. ! and /. The nu&ber of people ,or-ing on (esign in the fifth &onth ,as /. Calculate the percentage change in the cost incurred in the fifth &onth. due to i&prove&ent in PCodingQ techni4ue. the stage ,as co&pleted in &onths B6 3 only\$. ;1< 22/= ;2< 1/"= ;*< 22/= ;!< 2!"= 9ith reference to the above 4uestion. ,hat is the cost incurred in the ne, PCodingQ stage: Jnder the ne, techni4ue. ! people ,or- in the si0th &onth and / in the eighth\$. ;1< %s. 1.!".""" ;2< %s. 1./".""" ;*< %s. 1.B".""" ;!< %s. 1.2".""" Jnder the ne, techni4ue. ,hich stage of Soft,are (evelop&ent is &ost e0pensive for 8ulaya& Soft,are co&pany: ;1< Testing ;2< Specification ;*< Coding ;!< (esign 9hich five consecutive &onths have the lo,est average cost per &an6&onth under the ne, techni4ue: ;1< 16 / ;2< 5 6 1* ;*< 11 6 1/ ;!< >one of the these 9hat is the difference in the cost bet,een the old and the ne, techni4ues: ;1< %s. *".""" ;2< %s. B".""" ;*< %s. 2".""" ;!< %s. !"."""

1*2.

1**.

1*!. 1*/.

1IR-CTIONS for .uestio s '2& to '0*/ Ans,er the 4uestions based on the follo,ing infor&ationL The a&ount of &oney invested in rupees crore\$ in the core infrastructure areas of t,o districts. Chittoor and Rha&&a&. Andhra +radesh as follo,sL Chittoor 1istrict Core Area 155/ Electricity 31/.2 Che&ical *35./ 155B 1"/!.2 !2B.2 ;hammam 1istrict Core Area 155/ Electricity Area 2"B/.3 Che&ical 2!/./ 155B 2*B/.1 53B.!

CAT Sample Paper Sol

26

MANYA CAT

Ther&al Solar >uclear Total '2&\$ 1*2.

B5".! !B3.1 B12.5 "63'\$'

/B/.5 /35.B 3"*.1 2036\$+

Ther&al Solar >uclear Total

12*2.2 1*B*./ 1B2!.* 7*3'\$&

1"2B.* 1252.1 2132.1 32+"\$*

?y ,hat percent ,as the total invest&ent in the t,o districts &ore in 155B as co&pared to that in 155/: ;1< 1!= ;2< 21= ;*< 2!= ;!< 13= Appro0i&ately ho, &any ti&es the total invest&ent in Chittoor ,as the total invest&ent in Rha&&a&: ;1< 2.3 ;2< 2." ;*< 2.! ;!< 1.2 The invest&ent in Electricity and Ther&al Energy in 155/ in these t,o districts for&ed ,hat percent of the total invest&ent &ade in that year: ;1<\$ !1= ;2< !2= ;*< /2= ;!< //= In Rha&&a& district the invest&ent in ,hich area in 155B sho,ed the least percent increase over the invest&ent in that area in 155/: ;1< Electricity ;2< Che&ical ;*< Solar ;!< >uclear If the total invest&ent in Rha&&a& sho,s the sa&e rate of increase in 1552. as it had sho,n fro& 155/ to 155B. ,hat appropriately ,ould be the total invest&ent in Rha&&a& in 1552 in %s. crore\$: ;1< 5.3/" ;2< 1".""" ;*< 5.12" ;!< 3./!"

1*3.

1*5.

1!".

1IR-CTIONS for .uestio s '0' to '0+/ %efer to the follo,ing graphL
45 40 35 30 25 20 15 10 5 0 Jan Mar May Jun

Cost Sales Em ployees

Sep

Nov.

1!1. 1!2. 1!*. 1!!. 1!/.

9hich &onth has the highest profit per e&ployee: ;1< Septe&ber ;2< 7uly ;*< 7anuary 9hich &onth records the highest profit: ;1< Septe&ber ;2< 7uly ;*< 8arch

;!< 8arch ;!< 8ay

In ,hich &onth is the percentage increase in Sales over the Sales t,o &onths before. the highest: ;1< 8arch ;2< Septe&ber ;*< 7uly ;!< 8ay In ,hich &onth is the total increase in the Cost highest as co&pared to the Cost t,o &onths ago: ;1< 8arch ;2< Septe&ber ;*< 7uly ;!< 8ay Assu&ing that no e&ployee left the @ob. ho, &any &ore people did the co&pany ta-e on in the given period: ;1< !.B"" ;2< /.1"" ;*< /. 3"" ;!< B. !""

CAT Sample Paper Sol

27

MANYA CAT

1IR-CTIONS for .uestio s '0& to '+*/ Ans,er the 4uestions based on the follo,ing dataL The first table gives the percentage of students in the class of 8.?.A ,ho sought e&ploy&ent in the areas of Ginance. 8ar-eting and Soft,are. The second table given the average starting salaries of the students per &onth. in these areas.
1400 1200 1000 800 600 400 200 0 92 93 94 95 96 Students Passing out

1552 155* 155! 155/ 155B

Ginance 12 12 2* 15 *2 Ginance /.!/" B.*3" 2.//" 3.52" 5.31"

8ar-eting *B !3 !* *2 *2 8ar-eting /.12" B.*5" 2.B*" 3.5B" 1".22"

Soft,are 15 2* 21 1B 2" Soft,are /.25" B.!!" 2."/" 2.2B" 3.B!"

Ithers ** 12 1* 23 1B

1552 155* 155! 155/ 155B 1!B.

The nu&ber of students ,ho got @obs in finance is less than the nu&ber of students getting &ar-eting @obs. in the five years. by ;1< 32B ;2< B/" ;*< 22/ ;!< /!3 In 155!. students see-ing @obs in finance earned %s. MMMMM &ore than those opting for soft,are in la-hs\$ ;1< !* ;2< **.3 ;*< 23.! ;!< *3.3 9hat is the percent increase in the average salary of Ginance fro& 1552 to 155B: ;1< B" ;2< *2 ;*< 5B ;!< 3" 9hat is the average &onthly salary offered to a &anage&ent graduate in the year 155*: ;1< B!** ;2< B**" ;*< B*** ;!< Cannot be deter&ined. The average annual rate at ,hich the initial salary offered in Soft,are. increases ;1< 21= ;2< **= ;*< 1B.*= ;!< B/=

1!2.

1!3. 1!5.

1/".

1IR-CTIONS for .uestio s '+' to '&*/ In each 4uestion. you are given certain data follo,ed by t,o state&ents. Gor ans,ering the 4uestionsL 8ar- ;1<. if both the state&ents together are insufficient to ans,er the 4uestion. 8ar- ;2<. if any one of the t,o state&ents is sufficient to ans,er the 4uestion. 8ar- ;*<. if each state&ent alone is sufficient to ans,er the 4uestion. 8ar- ;!<. if both the state&ents together are sufficient to ans,er the 4uestion. but neither state&ent alone is sufficient.

CAT Sample Paper Sol

28

MANYA CAT

1/1.

9hat is the Cost +rice of the article: I. After selling the article. a loss of 2/= on Cost +rice incurred. II. The Selling +rice is three6fourths of the Cost +rice. If a. b. c are integers. is a 6 b U c\$ W a U b 6 c\$ : I. b is negative II. c is positive. 9hat is the Selling +rice of the article: I. The profit on Sales is 2"=. II. The profit on each unit is 2/= and the Cost +rice is %s. 2/". A tractor travelled a distance of / &. 9hat is the radius of the rear ,heel: I. The front ,heel rotates P>Q ti&es &ore than the rear ,heel over this distance. II. The circu&ference of the rear ,heel is PtQ ti&es that of the front ,heel. 9hat is the ratio of the t,o li4uids A and ? in the &i0ture finally. if these t,o li4uids -ept in three vessels are &i0ed together: The containers are of e4ual volu&e\$ I. The ratio of li4uid A to li4uid ? in the first and second vessel is. respectively. * L /. 2 L *. II. The ratio li4uid A to li4uid ? in vessel * is ! L *. If α. β are the roots of the e4uation a0V U b0 U c T "\$. then ,hat is the value of αV U βV\$: I. α U β T 6 bSa\$ II. 2αβ T cSa\$ 9hat is the nu&ber of type 2 ,idgets produced. if the total nu&ber of ,idgets produced is 2".""": I. If the production of type 6 1 ,idgets increases by 1"= and that of type62 decreases by B=. the total production re&ains the sa&e. II. The ratio in ,hich type 6 1 and type 6 2 ,idgets are produced is 2 L 1. Co, old is Sachin in 1552: I. Sachin is 11 years younger than Anil ,hose age ,ill be pri&e nu&ber in 1553. II. Anil’s age ,as a pri&e nu&ber in 155B. 9hat is the total ,orth of Na-hira&’s assets: I. Co&pound interest at 1"= on his assets. follo,ed by a ta0 of != on the interest. fetches hi& %s. 1/""" this year. II. The interest is co&pounded once every four &onths. Co, &any different triangles can be for&ed: I. There are 1B coplanar. straight lines in all. II. >o t,o lines are parallel.

1/2. 1/*.

1/!.

1//.

1/B.

1/2.

1/3.

1/5.

1B".

CAT Sample Paper Sol

29

MANYA CAT

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