companies aptitude tests

8/10/2019 Companies Aptitude Tests

1/188

Aptitude Ques tions

1. Oneguyhas Rs.100/-inhand.Hehastobuy100balls.OnefootballcostsRs.15/,OneCic!et

ball costs Re.1/-andone table tennisballcostsRs.0."5Hespendthe#holeRs.100/-tobuy

theballs. Ho#$anyofeachballshebought%

". &he distancebet#een 'tation Atena and 'tation (acena is )0$iles. A tain stats fo$

Atena to#ads (acena. Abid s tats at the s a$e ti$e fo$ (acena s taight to#ads the$o*ingtain.On eaching the tain, it instantaneously tuns bac! and etuns to (acena.

&hebid $a!es these +ouneys fo$(acena to the tainandbac!to(acenacontinuouslytill

thetaineaches(acena. &hebid finally etuns to (acenaandests.Calculatethetotaldis

tancein$ilesthebidta*elsin thefollo#ingt#ocases

a&hebidfliesat)0$ilespehouandthespeedofthetainis0$ilespehou.

bthebidfliesat0$ilespehouandthespeedofthetainis)0$ilespehou

. A tennis cha$pionship isplayedona!noc!-outbasis,i.e.,aplayeisoutofthetouna$ent

#hen

helosesa$atch.

aHo#$anyplayespaticipateinthetouna$entif15$atchesaetotallyplayed%

bHo#$any$atchesaeplayedinthetouna$entif50playestotallypaticipate%

. 2hen 3addti$es $yageyeasfo$no#to5ti$es$yage5yeasfo$no#,3get10ti$es

$y cuentage.Ho#old#ill3beyeasfo$no#%5. A ich $echant had collected $any gold coins. Hedidnot#antanybody to!no#about

the$.

One day, his #ife as!ed, 4Ho# $any gold coins do #e ha*e%4 Aftepaus ing a$o$ent, he

eplied, 42ell 3f 3 di*ide the coins into t#o une6ual nu$bes , then 7 ti$es the diffeence

bet#eenthet#o nu$bes e6uals thediffeencebet#een thes6uaesofthet#onu$bes.4&he

#ifeloo!edpu88led. Canyouhelpthe$echant9s#ifebyfindingoutho#$anygoldR

. A s et of football $atches is to be ogani8ed in a 4ound-obin4 fas hion, i.e., e*ey

paticipating tea$plays a $atch agains t e*ey othe tea$once and only once.3f"1$atches

aetotallyplayed, ho#$anytea$spaticipated%

7. :lennand;asoneachha*eacollectionofcic!etballs.:lennsaidthatif;ason#ouldgi*ehi$

"of his balls they #ould ha*e an e6ual nu$be


2/188

lasttea$is#ittenas0$atchesbecosthistea$hasaleadyplayed#ithallothetea$s-hences

u$

of$atchesB5BBB"B1"1#hichiscoectonlyifnooftea$s7

7. R1

1.:B"+-"

".":-";B".

sol*ethese"toget;1

=. a.'oleach$!yta!es=$intoeatabanana

b.ans=$=$

). sesetsand*enndiaga$tosol*esuch6uestions.a,b,aub,anbetc.

1"tennisBlea*e

1=+ogBlea*e s

o+og-tennis

again+ogBtennis1.sosol*eandget+og10,lea*e=,tennis.sotot""

10. Ans"D"B0D"1"

FrequentlyAskedQuestions-ObjectorientedConcepts

1. Ho# do you #ite a poga$ #hich poduces its o#n souce code as

its output%

". Ho# can 3 find the day of the #ee! gi*en the date%

. 2hy doesn9t C ha*e nested functions%

. 2hat is the $ost efficient #ay to count the nu$be of bits #hich ae set

in a *alue%

5. Ho# can 3 con*et integes to binay o he@adeci$al%

. Ho# can 3 ca l a function, gi*en its na$e as a sting%

7. Ho# do 3 access co$$and-line agu$ents%=. Ho# can 3 etun $ultiple *alues fo$ a function%

). Ho# can 3 in*o!e anothe poga$ fo$ #ithin a C poga$%

10. Ho# can 3 access $e$oy located at a cetain addess%

11. Ho# can 3 a locate aays o stuctues bigge than I%

1". Ho# can 3 find out ho# $uch $e$oy is a*ailable%

1. Ho# can 3 ead a diectoy in a C poga$%

1. Ho# can 3 incease the a lo#able nu$be of si$ultaneously open files%

15. 2hat9s #ong #ith the ca l 4fopen4cJne#diJfile.dat4, 444%

1. 2hat is the output of pintf4Kd4

17. 2hat #i l happen if 3 say delete this

1=. Liffeence bet#een 4C stuctue4 and 4CBB stuctue4.

1). Liffence bet#een a 4assign$ent opeato4 and a 4copy constucto4

"0. 2hat is the diffeence bet#een 4o*eloading4 and 4o*eidding4%

"1. @plain the need fo 4Mitual Lestucto4.

"". Can #e ha*e 4Mitual Constuctos4%

". 2hat ae the diffeent types of poly$ophis$%

". 2hat ae Mitual ?unctions% Ho# to i$ple$ent *itual functions in 4C4

"5. 2hat ae the diffeent types of 'toage classes%

". 2hat is >a$espace%

"7. 2hat ae the types of '&E containes%.

"=. Liffeence bet#een 4*ecto4 and 4aay4%"). Ho# to #ite a poga$ such that it #i l delete itself afte e@ectution%

0. Can #e geneate a CBB souce code fo$ the binay file%

1. 2hat ae inline functions%

". &al! so$eti$ing about pofiling%

. Ho# $any lines of code you ha*e #itten fo a single poga$%

. 2hat is 4ststea$4 %

5. Ho# to #ite Nultitheaded applications using CBB%

. @plain 4passing by *alue4, 4passing by pointe4 and 4passing by efeence4

7. 2ite any s$a l poga$ that #i l co$pile in 4C4 but not in 4CBB4

=. Ha*e you head of 4$utable4 !ey#od%

). 2hat is a 4R&&34%0. 3s thee so$ething that 3 can do in C and not in CBB%


3/188

1. 2hy peince$ent opeato is faste than postince$ent%

". 2hat is the diffeence bet#een 4ca loc4 and 4$a loc4%

. 2hat #i l happen if 3 a locate $e$oy using 4ne#4 and fee it using 4fee4 o

a locate sing 4ca loc4 and fee it using 4delete4%

. 2hat is Ne$oy Align$ent%

5. @plain #o!ing of pintf.. Liffeence bet#een 4pintf4 and 4spintf4.

7. 2hat is 4$ap4 in '&E%

=. 2hen sha l 3 use Nultiple 3nheitance%

). 2hat ae the techni6ues you use fo debugging%

50. Ho# to educe a final si8e of e@ecutable%

51. :i*e " e@a$ples of a code opti$i8ation.

5". 2hat is inheitance%

5. Liffeence bet#een Co$position and Aggegation.

5. Liffeence 'e6uence Liaga$s, Co laboation Liaga$s.

55. Liffeence 9uses9, 9e@tends9, 9includes9

5. 2hat sha l 3 go fo ac!age Liaga$%57. 2hat is oly$ophis$%

5=. 3s class an Ob+ect% 3s ob+ect a class%

5). Co$$ent CBB 4includes4 beha*io and +a*a 4i$pots4

0. 2hat do you $ean by 4Reali8ation4%

1. 2hat is a esistent, &ansient Ob+ect%

". 2hat is the use of Opeato O*eloading%

. Loes NE guaantee po+ect success%

. Liffeence Acti*ity Liaga$ and 'e6uence Liaga$.

5. 2hat is association%

. Ho# to esol*e $any to $any elationship%

7. Ho# do you epesent static $e$bes and abstact classes in Class Liaga$%

=. 2hat does static *aiable $ean%

). 2hat is a pointe%

70. 2hat is a stuctue%

71. 2hat ae the diffeences bet#een stuctues and aays%

7". 3n heade files #hethe functions ae declaed o defined%

7. 2hat ae the diffeences bet#een $a loc and ca loc%

7. 2hat ae $acos% #hat ae its ad*antages and disad*antages%

75. Liffeence bet#een pass by efeence and pass by *alue%

7. 2hat is static identifie%

77. 2hee ae the auto *aiables stoed%7=. 2hee does global, static, local, egiste *aiables, fee $e$oy and C

oga$ instuctions get stoed%

7). Liffeence bet#een aays and lin!ed list%

=0. 2hat ae enu$eations%

=1. Lescibe about stoage a location and scope of global, e@ten, static, local

and egiste *aiables%

=". 2hat ae egiste *aiables% 2hat ae the ad*antage of using egiste*aiables%

=. 2hat is the use of typedef%

=. Can #e specify *aiable field #idth in a scanf fo$at sting% 3f possible ho#%

=5. Out of fgets and gets #hich function is safe to use and #hy%=. Liffeence bet#een stdup and stcpy%

=7. 2hat is ecusion%

==. Liffeentiate bet#een a fo loop and a #hile loop% 2hat ae it uses%

=). 2hat ae the diffeent stoage classes in C%

)0. 2ite do#n the e6ui*alent pointe e@pession fo efeing the sa$e

ele$ent aPiQP+QP!QPlQ%

)1. 2hat is diffeence bet#een 'tuctue and nions%

)". 2hat the ad*antages of using nions%

). 2hat ae the ad*antages of using pointes in a poga$%

). 2hat is the diffeence bet#een 'tings and Aays%

)5. 3n a heade file #hethe functions ae declaed o defined%). 2hat is a fa pointe% #hee #e use it%


4/188

)7. Ho# #i l you declae an aay of thee function pointes #hee each

function ecei*es t#o ints and etuns a float%

)=. #hat is a >EE ointe% 2hethe it is sa$e as an uninitiali8ed pointe%

)). 2hat is a >EE Naco% 2hat is the diffeence bet#een a >EE ointe and

a >EE Naco%

100.2hat does the eo 9>u l ointe Assign$ent9 $ean and #hat causesthis eo%

101.2hat is nea, fa and huge pointes% Ho# $any bytes ae occupied by the$%

10".Ho# #ould you obtain seg$ent and offset addesses fo$ a fa addess of

a $e$oy location%

10.Ae the e@pessions a and a sa$e fo an aay of integes%

10.Loes $entioning the aay na$e gi*es the base addess in a l the conte@ts%

105.@plain one $ethod to pocess an entie sting as one unit%

10.2hat is the si$ilaity bet#een a 'tuctue, nion and enu$eation%

107.Can a 'tuctue contain a ointe to itself%

10=.Ho# can #e chec! #hethe the contents of t#o stuctue *aiables ae sa$e

o not%10).Ho# ae 'tuctue passing and etuning i$ple$ented by the co$plie%

110.Ho# can #e ead/#ite 'tuctues fo$/to data files%

111.2hat is the diffeence bet#een an enu$eation and a set of pe-pocesso S

defines%

11".#hat do the 9c9 and 9*9 in agc and ag* stand fo%

11.Ae the *aiables agc and ag* ae local to $ain%

11.2hat is the $a@i$u$ co$bined length of co$$and line agu$ents

including the space bet#een ad+acent agu$ents%

115.3f #e #ant that any #ildcad chaactes in the co$$and line agu$ents should

be appopiately e@panded, ae #e e6uied to $a!e any special po*ision%

3f yes, #hich%11.Loes thee e@ist any #ay to $a!e the co$$and line agu$ents a*ailable

to othe functions #ithout passing the$ as agu$ents to the function%

117.2hat ae bit fields% 2hat is the use of bit fields in a 'tuctue declaation%

11=.&o #hich nu$being syste$ can the binay nu$be 1101100100111100

be easily con*eted to%

11).2hich bit #ise opeato is suitable fo chec!ing #hethe a paticula bit is

on o off%

1"0.2hich bit #ise opeato is suitable fo tuning off a paticula bit in a nu$be%

1"1.2hich bit #ise opeato is suitable fo putting on a paticula bit in a nu$be%

1"".2hich bit #ise opeato is suitable fo chec!ing #hethe a paticula bit is

on o off%

1".#hich one is e6ui*alent to $ultiplying by "Eeft shifting a nu$be by 1 o

Eeft shifting an unsigned int o cha by 1%

1".2ite a poga$ to co$pae t#o stings #ithout using the stc$p function.

1"5.2ite a poga$ to concatenate t#o stings.

1".2ite a poga$ to intechange " *aiables #ithout using the thid one.

1"7.2ite poga$s fo 'ting Re*esal alindo$e chec!

1"=.2ite a poga$ to find the ?actoial of a nu$be

1").2ite a poga$ to geneate the ?ibinocci 'eies

10.2ite a poga$ #hich e$ploys Recusion

11.2ite a poga$ #hich uses Co$$and Eine Agu$ents1".2ite a poga$ #hich uses functions li!e stc$p, stcpy% etc

1.2hat ae the ad*antages of using typedef in a poga$%

1.Ho# #ould you dyna$ica ly a locate a one-di$ensional and t#o-

di$ensional aay of integes%

15.Ho# can you incease the si8e of a dyna$ica ly a located aay%

1.Ho# can you incease the si8e of a statica ly a located aay%

17.2hen ea locating $e$oy if any othe pointes point into the sa$e piece

of $e$oy do you ha*e to ead+ust these othe pointes o do they get

ead+usted auto$atica ly%

1=.2hich function should be used to fee the $e$oy a located by ca loc%

1).Ho# $uch $a@i$u$ can you a locate in a single ca l to $a loc%


5/188

10.Can you dyna$ica ly a locate aays in e@panded $e$oy%

11.2hat is ob+ect file% Ho# can you access ob+ect file%

1".2hich heade file should you include if you ae to de*elop a function #hich

can accept *aiable nu$be of agu$ents%

1.Can you #ite a function si$ila to pintf%

1.Ho# can a ca led function dete$ine the nu$be of agu$ents that ha*ebeen passed to it%

15.Can thee be at least so$e solution to dete$ine the nu$be of

agu$ents passed to a *aiable agu$ent list function%

1.Ho# do you declae the fo lo#ing

17.An aay of thee pointes to chas

1=.An aay of thee cha pointes

1).A pointe to aay of thee chas

150.A pointe to function #hich ecei*es an int pointe and etuns a float pointe

151.A pointe to a function #hich ecei*es nothing and etuns nothing

15".2hat do the functions atoi, itoa and gc*t do%

15.Loes thee e@ist any othe function #hich can be used to con*et an integeo a float to a sting%

15.Ho# #ould you use 6sot function to sot an aay of stuctues%

155.Ho# #ould you use 6sot function to sot the na$e stoed in an aay

of pointes to sting%

15.Ho# #ould you use bseach function to seach a na$e stoed in aay

of pointes to sting%

157.Ho# #ould you use the functions sin, po#, s6t%

15=.Ho# #ould you use the functions $e$cpy, $e$set, $e$$o*e%

15).Ho# #ould you use the functions fsee!, feed, f#ite and fte l%

10.Ho# #ould you obtain the cuent ti$e and diffeence bet#een t#o ti$es%

11.Ho# #ould you use the functions ando$i8e and ando$%1".Ho# #ould you i$ple$ent a subst function that e@tacts a sub sting

fo$ a gi*en sting%

1.2hat is the diffeence bet#een the functions and, ando$, sand

and ando$i8e%

1.2hat is the diffeence bet#een the functions $e$$o*e and $e$cpy%

15.Ho# do you pint a sting on the pinte%

1.Can you use the function fpintf to display the output on the sceen%

17.2hat is an ob+ect%

1=.2hat is the diffeence bet#een an ob+ect and a class%

1).2hat is the diffeence bet#een class and stuctue%

170.2hat is public, potected, pi*ate%

171.2hat ae *itual functions%

17".2hat is fiend function%

17.2hat is a scope esolution opeato%

17.2hat do you $ean by inheitance%

175.2hat is abstaction%

17.2hat is poly$ophis$% @plain #ith an e@a$ple.

177.2hat is encapsulation%

17=.2hat do you $ean by binding of data and functions%

17).2hat is function o*eloading and opeato o*eloading%

1=0.2hat is *itual class and fiend class%1=1.2hat do you $ean by inline function%

1=".2hat do you $ean by public, pi*ate, potected and fiendly%

1=.2hen is an ob+ect ceated and #hat is its lifeti$e%

1=.2hat do you $ean by $ultiple inheitance and $ultile*el inheitance%

Liffeentiate bet#een the$.

1=5.Liffeence bet#een ea loc and fee%

1=.2hat is a te$plate%

1=7.2hat ae the $ain diffeences bet#een pocedue oiented languages

and ob+ect oiented languages%

1==.2hat is R & & 3 %

1=).2hat ae geneic functions and geneic classes%


6/188


7/188

"5.2hen#ouldyouchoosebotto$up$ethodology%

".2hen#ouldyouchoosetopdo#n$ethodology%

"7.2iteas$alldcshellscipttofindnu$beof??inthedesign.

"=.2hypagingisused%

").2hichisthebestpageeplace$entalgoith$and2hy%Ho#$uchti$eisspentusuallyineachphasesand

#hy%

"50.Liffeencebet#eeni$aystoageandsecondaystoage%"51.2hatis$ultitas!ing,$ultipoga$$ing,$ultitheading%

"5".Liffeencebet#een$ultitheadingand$ultitas!ing%

"5.2hatissoft#aelifecycle%

"5.Le$andpaging,pagefaults,eplace$entalgoith$s,thashing,etc.

"55.@plainaboutpagedseg$entationandseg$entpaging

"5.2hileunningLO'onaC,#hichco$$and#ouldbeusedtoduplicatetheentiedis!ette%

Aptitude Ques tions

11. Asoft#aeengineeetunsfo$A$eica.Asheisfathedecidedtoha*ee*ening#al!.....he

statedatp$.he#al!salongtheoadat!$/hfoso$eti$ethenhecli$bsaup#adslopeaea

at!$/hthendo#n#adsattheateof!$/h.thenbac!totheho$ethoughtheoadat!$/h.

#hatisthedistanceheco*eedinone#ayifheeachesbac!ho$eat)p$.

1". $enandlodgeelated6ues

tion a1$anelatedto"lodges.

beachlodgehas$en.

conly1$anco$$onb/#"lodges

1. Achild6uestionshisfathe,42hatisyoufathe9sage4,to#hichthefatheans#es4He#as

agedTinyeaTF"Ts6uae4.3ftheconte@tis"0thCentuy,2hatishisLateof(ith%

1. A$anidescyclefot#othidofthedistancetobeco*eed.thenhistyegotpunctued.he#al!s

theestofthedistanceandfoundhetoo!t#icetheti$efo#al!ingco$paedtoiding.Ho#fast

hecanideco$paedto#al!.

15. 51tea$saetheeandtheyaetoplaybas!etball$atches.Atea$isoutofthetouna$entif

that looses"ga$es.#hatisthe$a@i$u$nu$beofga$estobeplayedtodecideone#inne.

1. #ho#asthe$udeeofs$ithoge,o9neil,#ait the#aitepoiseneds$ith#ith#hichfiend.each

ofthefiendstellsst$ts1of#hichisfalse1st$tofeachfiendisfalse

17. >alanda,Ra$pu,&ilo!naga,Naninagaetcso$econditionsaegi*en....thenuha*etofind

#hichhasthepopulationbelo#5la!hs..#hicisnotthecapital"industialto#ns,"

habous,longitudeelation,latitudeelation......etcfou6uestionsbasedonthese

1=. AnotheoneonA,(,C,LandyoungeandoldeelationBoccupationofeachnutitionist,

docto,planneetc.find#hois#ho%

1). ola$pssoldfoRs.1"eachpofitof"5Kon1andloss0f"0Konothe%didhegainolose%

by ho#$uch%

"0. A,(,Caepesonsandthydi*intotheegoups'ooeanPal#aystuth,>ooeanPal#ays

lie andNidoeanPaltenate-butnotinanyodeastheyspea!tuthfistoffalsefist--epaet

fo$ ealiepapes.

Ans#es

11. Ans1"!$one#aytotaldistance1"D""!$

1". Ans$enandlodges

1. Ans1=)"

1. AnsMidingDM#al!ingPti$es

15. Ans101$atches

1. AnsRoge#asthe$udee.notsue

).Ans0paiseloss

10.AnsA$idoean(nooeanCsooean

AptitudeQuestions

"1. &heeso$ebeesinagaden..1/5thofthe$#enttoapaticulaflo#e,1/d#enttoanothe

flo#e,ti$esthediffeenceoftheabo*et#o#enttothidflo#e..none#ase$ainingnit#as

oa$ing

aound..ho#$anybees#eethee%$a!s

Ans15

"". ;i$nHayha*ethesa$enu$beof$ables#hentheystatplaying..nthenafte#ads...;i$gains

"0$ablesandlateheloses"/dsof#hathehad..no#Hayhasti$esas$any$ablesas

;i$ has..2hattheinitialnu$beof$ablesthateachofthe$had%

Ans100each

". ?,:,H,;,Iaeso$e+uniosand,Q,R,'aeso$esenios...andtheeaeco$$unities

Cultual,Receationnthics..neachcontained$e$beseach..neachone#asa$e$beofonly


8/188

oneco$$ittee..

i?,QaeinCultual

co$$ittee. iiisineceation

co$$ittee.

iii;#ontbeinaco$$ittee#heeHoQaethee.

i*:#illbeineceationco$$itteif'also#o!sineceation

co$$ittee. *thee#illbeatleastonesenioineachco$$ittee.*iR#ontbeinaco$$itteeis'isthee

3nthispats#eetheetheyga*eso$econditionsandas!edtochoosefo$theoptions..

". &hee#asaco$$unityin#hichthee#ee1000couples.3nthat"/dof$en#hotallealso

hea*ien/thofthe$en#hohea*iealsotallenthee#ee1"0#o$en#ho#eebothhea*ie

ntallethan$en.'oho#$any$enbothtallenhea*iethan$en%$a!s

"5. A$andi*es#ithconstantspeed..nheafteso$eti$eheseesa$ilestone#ith"-digits..then

he ta*elsfoanhnseesthesa$e"digitsine*eseode..nthenafteanhheseesthatthe

$ilestonehasthesa$e"digits#itha0bet#eenthe$..so#hatsthe$anspeed%

Ans5!$/h

". &hee#ee"syste$sAn(.1degeesinAise6ui*alenttoinsyste$(.and1inA

is e6ui*alentto=7in(.no##hatisthete$peatue#heetheybothe6ual%

Ans51."5con*esionA7/(-70

"7. TUVTUV A(BA(

-

-------------------------

CL?(:A

findT,U,V,:

"=. A#o$enbuysso$eshoestipsnthenti$esofthatshebuyspac!etpinsnthen=ti$esof s

hoestipsshebuyshand!echiefs..nshehasabillofRs."..nshepaysfoeachaticleas

$any paiseastheeaticlesofthtpaticulaite$.>o##hatsthenu$beofhand!echiefs%

Ans1

"). Ns.Anithagothesalaynshespenthalfofitinshoppingnga*e1R'toabegga.Aftethat1/"

of thee$aining$oneyshespendsinahotelnshegi*esRs."/-asatipto#aite.nthen1/"ofthe

e$ainingshespendsagainnshegi*esR'aschaity..naftethatfinallysheisleft#ithRs1/-

#hensheco$esout.2hatstheactual$oneyshehad%

Rs"/-$a!s

0. &hee"childen..oneofthe$liesonNonday,#ednesdaynfidayntelltuthone*eyothe

day.theothe#illlieon&uesday,thusdaynsatuday.nal#aystellstuthonothedays..nbothof

the$tellthetuthonsundays..then#hichofthefollo#ingcanbededuced%

i3fitsasundayboth#illsayso

iiifoneofthensaysacoectdaythenothe#illliee*eything.

A&3&L

1. "pipesAand(canfillatan!in0$inutesand"0$inutesespecti*ely.(filledWofthetan!.

&henfotheestbothAand(filledthetan!.Ho#$uchti$eittoo!tofilltheentietan!.

". 5$on!eyseat5bananasin5$inutes.&henho#$any$on!eyscaneat"0bananasin"0$inutes

.

. Adoesa#o!in"0days.Adidfo"=days.&henbca$e.&heytogetheta!e7daysto

co$plete the7+ob.?indho#$anydays(co$pletea#o!.

. Nyhousenu$beis

ifnot$ultiplebyitis#ithin50-5)

ifnot$ultipleby5itis#ithin0-)

ifnot$ultipleby10itis#ithin70-

7)

findhousenu$be.

5. AfteyeastheatioofageofTandU#illbe5.(efoeyeasit#as.?indtheageof youngeone.

. &heaith$etic$eanoft#onu$besis10andthegeo$etid$eanis=.?indthet#onu$bes.

7. consecuti*enon8eonu$be#hichofthese#illesultapositi*eoddintege.

1.@ByB8

".@y-8

.@-y-8

=. "0!$distance.3tgoesataspeedof10!$/hlessthanittoo!1.hou.?indtheinitialspeed.

). &e$,HayandLic!aetheefiends.?o$theset#oae$usicians.

&e$----Hay

'hoteoneisolde$us

ician. Hay----Lic!

'hoteoneisyounge$us

ician. Lic!-----&e$&alleistheyounge$us

ician. ?indthet#o$usician.

0. AXs$otheisonlydaughteof(Xs$othe.(isAXs#hat.

1. 3na"0lite$i@tueof$il!and#ate,theatioof$il!and#ateis1.Ho#$uch$il!istobe

$i@ed #iththe$i@tuesoasto$a!etheatio1.


9/188

". ?o apaty "0 guests #ee in*ited. Contacto ha*e gained 1".5Kpofit. (ut 0guests

#ee absent.Hechagedthesa$ea$ountfoa$ealandlost100upees.Ho#$ucha$ealcosts

.

. OutoftheeA,(,Coneisthief.Allgi*et#ostate$ents.Oneisfalseanotheistue.?indthe

thief.

A-ididnotdo,(didnotdo.

(-ididnotdo,Cdidnotdo.C-ididnotdo,3donot!no##hodidit.

. &hesidesofanisoclestingaleaegi*en.&hepependiculadistanceisgi*en.?indthebaseof

the tingale.>u$eical*aluesaegi*en,but3donote$e$be

5. 3natingalelengthofsidesaegi*en.3tisgi*entofindthehighestlengthofscale#hichcan

be usedto$easueallthesides.&ofindgcf.

. &heeisa$etalliccylindeofadiusandheighthis$elted.3ftheadiusofs$allecylindeis

/10

andheightish/10,thenho#$anys$allcylindesae$adefo$the$olten.

&CH>3CAE

1. 2hatis#ea!typing.

". 2hatispue*itualfunction.

. [email protected],cbash,nbash,!bash,gbash. 2hichisaneo.

3ntDpP

3ntDpP

3ntDint,int

3ntDpP

3ntDpP

5. 2hichisnotapocesso.

intel,duan,Celeon,athelon

. aP5Y1,",,,5Z

pintf4Kd4,aPo#aboutue@ta-cuiculaacti*ities.sayaboutdancing%

AUes,3li!edancing*ey$uch.

1). 2hatthethingsnecessayagooddance%

A@pession,$o*e$ents,undestandingthelyics.

"0. 2hatattactsutodancing%

ANusic,hyth$.

"1. >o#aboutLebates.2hattopicsdiduspea!indebates%

A3can9tecallall.so$e#eeelatedtoeducation,so$e#eesocialtopics.

"". 2hat#asthetopicelatedtoeducation%

A2hetheliteacyisnecessayfooliticians.

". 3fu $ade the Head ofducation Councilof 3ndia , 2hat changes #illubingaboutsoas

to i$po*ethe6ualityandefficiencyoffutueenginees%

A3#udseethat$oei$potanceisgi*entopacticalaspects.syllabus$aybe$odifiedeg

co$p

sc students, instead of teaching out dated languages , those in de$and in the industy s

hudbe taught.and that 6uality teaches shud b ecuited.3said little $oe elaboately on

thatbut this #asthe+est

". (e$oespecific.2hate@actlycanbechangedaboutthestudypattentoensuetheefficiency%

Ateaches s hud ty to de*elop eading habits in s tudents .3n 3ndia #e s tudents don9t do

$uchof eading. Nost of us only go thu the syllabus. 3nstead of loading students #ith

abuden of assign$ents,they shudbegi*en apaticulatopic tostudy and ead about ina

fi@ed ti$e,say in one day findoutabout this Ty8 topic. they#ill thengo to libayoseach

thunetandinthis#ay leanso$ethingoutsidethesyllabus.

"5. Ho##illuensuetheyeading%

(yholdingtestsonthattopic.

". >o#aboutspots.2hatspotsdiduplay%

"7. &ellusaboutAunachaladesh.$ycollegeisthee

"=. #hattheindustiesthatcanbpo$otedthee%

"). #hatthepoble$sufacethee%

0. ho##illuaangeatipfoudaystoA%

1. Uoufinalypo+ectinlay$an9slanguage.didutestit%

=). 10F10F10ho#$uchti$e#illitta!eto#itethisnu$be,ifitta!es1secto#ite1digit.

a.1000secs

. b.10yea.c.$oethan1$illionyeas

. d.afe#days.

ans.$oethan1$illionyeas.

)0. statingfo$"uptoho#$anynu$bes#eneedtochec!#hethe)07ispi$eonot%

)1. Apesonsageissi$ilatotheyeahe#asbonlastt#odigitsiscountedasage.ans.=0

)". 2hatisUACC%ans.yetanotheco$pileco$pile.

). flopisaunitof%ans.pocessingspeed.

). Sdefinehello@,ypintfSe@p4Kd4,[email protected]#hichgoupdoA,(andCbelong%ans.EEEoE&&.

10".&hee #ee thee cloc!s they ga*e ala$ afte "secs, 1"secs and secs.if they

ang s i$ulatneous ly at ="0, then at #hat ti$e they again ang si$ultaneous ly%so$ething

li!ethisbut nu$bes$aydiffe.ans.="71"

10.Aplane stats fo$aplaceA ,itgoes 1000!$s south then1000!$east then1000!$noth

and

1000!$#est,#hatisitdistancefo$thestatingplace%ans.sa$estatingplace.10.6uestionon(ipatitegaphdefinition.

[email protected]

10.#hite-bo@testing.

107.postfi@e*aluationofAB(DCAnsA(BCD

10=.6uestiononcatch-tho#%cBB

10).$ainY

$ainofatheiseducated

3Allsonsaeeducated

33Allfathesaeuneducated

a3onlyb33onlyc333bothdneithe3o33

.AllLon!eyaelephant.Alllephantsae

Cat aAllCatsaeelephant

bAlllephantsaedon!ey

cAllcatsaeLon!ey

dAllLon!eysaecat

ionlyaiionlybciiialltheabo*ei*a,bci9$notsueoftheans#eoption

5.setof#odsaegi*enoutof#hichoneisodd$an,findit%asighbcoughctal!ds

niff ansc

o6uestionin#hichoptionof+u$ble#odsaegi*enfindtheodd$anout

allatfoobbicte!cllas$dnisnet

@ceptoneallaeepesentingga$esfootball,cic!ettennis

ansc.

7.don9te$e$be

=.A(CLaeontheconeofthes6uaeeachhastopassthesidesofas6uae

once they$o*eincloc!#isediection#hichoneistue

ans...(issouth-eastofL

).Onseeingapotayapesonsays4heisthesonof$yfathe,$yfathehasonlyone

daughte4 Ho#$anychildendoesthepeson9sfatheha*e

anscann9tbedete$ined

10.A*eageoftheenu$besA,(,Cis17#henAiseplacedbyLthea*eageinceasesby"

#hatisthe*alueofL%

a1b1=c1"dnoneofthes

e ansd.

11.N.Nu!he+eehast#osonsAsho!,'ha$.NNssha$aha*e"childenRe!haAnand

3fRe!hais$aiedtosha$theyha*e"childenpiyaIa$althenho#isanandelatedto piya

auncleb$atenalunclecbothednoneofthese

1".Questionfo$thesa$epassage

ocubesae!epttogethethatithast#ofacesandsidestheyaebushed#ithedpaint

thenit#ascutinto"5pieces

1.Ho#$anysideofthecube#illha*eatleast"sidepainted

1.Ho#$anyside#ouldnotha*eonlyonesidepainted

15.3ft#odaysfo$to$oo#is&husdaythen#hat#illbe"daysbefoeyesteday

a?idayb'atudayc'undaydnoneofthese

1.2hatisthedayon1)7=;an1"

aNondayb&uesdayc?idayd2ednesday

17.?indthenu$beinthespace

=

)%1

"7

ab5c"dnoneofthese

3nthebelo#6uestionthe?actsaenot@actlythesa$ebutit9sthesa$etypeabplayhoc!ey

andfootball.dcplayfootballtennis.bcplayCic!ettenniscaplayhoc!eyandtennis.

basedonthese"6uestionli!e

1=2hoplayallthefouga$es


21/188


22/188

"1.3naga$eof'noo!eAgi*es (1=pointsfo)0,Agi*esC10pointsfo0.Ho#$anycanCgi*e

(inaga$eof70%

"".Cisthedaughteof(.histhebotheofC.?isthefatheofC.:isthesonof?.Listhebothe

of

?.2hatistheelationshipbet#eenCandL%

".A $o*es "5!$>oth and then finds that she is $o*in the #ong #ay.'hethenta!esaight

tun and $o*es "!$.&hen again she ta!es a ight tun and $o*es "5!$.Ho#$uchdistancedoesshe ha*etota*eltono#eachthestatingpoint%

".'o$ecatsaegood.'o$ecatsaeblac!.

"5.:old is 1)ti$es hea*iethan#ate.Coppeis)ti$eshea*iethan#ate.3n#hatatioshould

they

be$i@edsothatthealloyis15ti$eshea*iethan#ate%

".Aspheeofadius isplaced insideacylindeofheight"#hich+ust fits.2hatistheMolu$e

of thee$ptyspace%

"7.Aisti$esasoldas(.(isyeasoldethanC.3fCisVyeasolde@pessAinte$sofV.

"=.Aispunctual.Allpunctualaeonti$e. Conclus

iontobechosenfo$thegi*en$ultiplechoises.

1. a baccbaaa

". 'i!anth has boo#ed Rs 000 at 10K C.3.. He has to epay that afte yeas in e6ual

install$ents.Ho#$uchdoesheha*etopayasaninstall$ent%. :i*enadateandday,the6uestion#astocalculatethedayofthedate;une1",1)7).

. &he#eightofa(uc!et fullof#ateis 17!g,the#eightofthesa$ebuc!et#ithhalffull#ate

is

1.5!g.2hatisthe#eightofthe(uc!et%

5. 3napatyattendedbyboysandgils#heethegilsoutnu$beedtheboysRs"=0#asdistibuted.

achboy#asgi*enRs10andeachgilRs"0.Ho#$anyboysaethee%

. 10K ofan a$ydied.10Kofthe#ee ill.1"Koftheest$et#ithanaccident.2hat is the total

nu$beoftheoiginala$yif7la!hs#eefinallyleft%

7. Astatedabusiness #ithRs 1700a$ount.(+oinedAafte$onths ,C+oinedafte$onths.

3f thepofitisRs1700andtheyshaeditintheRatioof"5ho#$uchdid(andCin*est%

=. Abeats (by"$.Abeats Cby"0$.Cbeats (by1sec.3nho#$anysecondsdoesAco$plete

theaceofdistance1"0$.

). M3;AUiscodedasUENL(.'&OiscodedasM2R'.Afe#6uestions#eegi*enbasedonthiscode.

10. )

"%1

7=

11. "01510

15105

10%10

1". 2hichislageRs5Rs1.0oRs=Rs1.

1. Astatedabusiness#ithRs1700a$ount.(+oinedAafte$onths,C+oinedafte$onths.

3f thepofitisRs1700andtheyshaeditintheRatioof"5ho#$uchdid(andCin*est%

1. 3nagoupofpeople00ae>on-*egand00aeMeg.Ofthese150aeboth>on-MegandMeg.3n

the>on-Meg00eatNuttonand00eatChic!en.i?indthenu$beofpeople#hoeatonly

>on-MegNutton.ii2hoeatonlyMeg.

15. 3na#allcloc!thes$alleneedle isbet#een=and)andthelage$a!esaightangle#ithit.

?ind thee@actti$e.

1. 3fthete$peatueinceasesunifo$lyfo$)a$to"p$anditinceasesfo$"1CtoC.2hat

is thete$peatueatnoon%

17. lacea#odinthebac!etssuchthatit$a!esa$eaningfulsuffi@tothefistpatanda

$eaningful pefi@tothesecondpat.

&NR'

1=. [email protected]#illhe

each thetopofthepoleof1"$%

1). &heAlphabetthatisfo$theighttothelettebet#eenIand'.

"0. Eengthand(eadthofaRectangleae100$and$.?indtheaeaofaoadaoundtheectangle

#itha#idthof5$.

"1. ?indthefigue#iththehighestAea

iCicle#ith".

ii6uilateal&iangle#ith'ide

. iii'6uaeofdiagonal".

i*&iangle#itha=,b5andc.

"". Aboat$o*es 10!$upstea$andetunstothesa$epointin5$inutes.&hespeedofthes

tea$

is!$/h.&hespeedoftheboatis%

". :i*enan6uilatealtiangleofside10$.Aco#is tied tooneend.&he lengthoftheopeis7

$.

&heaeaco*eedbytheco#is%

". A is 7th fo$the left, ( is )th fo$the ight,iftheye@changeA is 11th fo$theleft.&he

total nu$beofpesonsis%"5. Apeson $o*es 5!$ast, tuns ight $o*es !$and then tuns ightagainand$o*es 5

!$.

2hatisthepositionofthepesonfo$thestatingpoint%

". 3fEA'iscodedasRN3:I3,then'Eiscodedas

"7. 3f&RCI"5andLR3M,2hatisCA&A3>%

"=. A ectangulafieldoflength0$andbeadth1=$.Acapetof"0c$#idthistobeusedtoco*e


23/188

thefield.&hecapetcosts0.50pspe$ete.2hatisthetotalcostofcapeting%


24/188

"). Apeson ta*els "0!$to#ads>oth, he ta!es left and ta*els fo15!$,thenheta!es left

and ta*elsfo"0!$.3n#hatdiectionistheta*ellingno#%

0. Ataingoesfo$Ato(at50!$/handco$esbac!at0!$/handhenceta!esanhou$oe

ti$e

toetun.2hatisthedistancebet#eenAand(%

Q5L/",17/?,3/1",=/N,R/5

Quantitati*e Ques tions

").2hichisgeate1000po#1001and1001po#)))

"50.One containe contains $il!and #ate in the atio 7and the othecontains =11,in #hat

atio theset#ocontainesistobe$i@edsothattheatioof$il!and#ateis5.

"51.&heeaet#osi$plepoble$sonti$eand#o!

"5".?oupoints #illbegi*enandyouha*e to fa$e t#ost.linee6.s insucha#aythattheipointof

inteesectionliesinoneofthefouoptions

"5.&heeaet#ototheepoble$sonpofitandloss#hichaelittlebitti$eta!ing,soididn9t

atte$pt.

aseies ofnos #illbegi*en#heetheanscanbefoundbyobse*ingthediffbett#oconsecuti*e nos

Eogical Reasoning

1. ai iscloudcloudisainainis#ate#ateissandso#hatiscloud%anssand

". one6uesiononelations

. taficsignalansi*eda$

. dsoigh!lno#ifl!-%-sd,findletteinthplace

5. so$e$a$$alsaedon!eysallbuffalos#illha*ehonsbasedonthis6uesionsthe

. cubeisofsi8e5D5D5.e*eysidehasbeencoloued.itisdi*idedinto1"5e6ualpats.

1#hatistheno.ofpatsha*ingonlyonesidecoloued-5.

"no.ofpatsha*ingt#osidedcoloued.

ha*ingnosidecoloued-"7

7. findtheno.ofoccuenceofhichisi$$ediatelypecededyandnoti$$ediatelyfollo#edby

'inso$eseiesfoeg.&&'&R'&.......ans-

=. .?ou pesonsaethee#eaingdiffeentcolouedshitseg.A,(,C,L#eaingblue,geen,

ed, yello#>o#,

1.Acannot#eayello#.

".(can#eablueogeen.

.C/Lis#eaingyello#.

Uouha*etofind#hois#eaing#hichcolouedshit

). ?indtheootofa"Bb"Bc"Bab-"bc-ac Ans"aBb-c

10. opipescanfillatan!in5hsand=hs.#hileaholecane$ptyitin0hs.2hat#illbethe

ti$e ta!entofillifeachopeateatati$e.'oln1J@1J5B1J=-1J0

11. Acanbeat(by"0$ts.2hileCcanbeat(by0$ts.3naaceof100$ts.(yho#$uchcanC

beatA%'oln75$ts.

1". 3fu stat you+ouney0$inutes late ,uha*eto inceaseyouspeedby"50!$sJh.toco*e

up

1500!$s.3nsa$eti$e.2hatisyouusualspeed%Ans750!$sJh.

1. ?oacicle,adiusisinc.byso$eK,findnetchangeinaea%

1. Ho#isi$pedance$atchingdoneand#hydo#eneeditbasicallycantal!aboutidealpo#e

supplyneedingalo#intenalesistanceandhighloadtofunctionpopely.soonestageof

tansistoa$plifiehastoha*elo#o/pesistanceandhighi/pesistancefone@tstage-doloo!

up

allbasicelectonicsalsoaboutsin!inghighcuents#ithoutda$age

15. #hatisas$ithchatusedfo

1. >a$eallflipflopsu!no#and#o!ingesp.$astesla*e.

17. poga$ing -poga$ to find ho# $any 19s aepesent in an intege *aiable usingbit#is

e opeatos.so$ethingaboutdyna$icallocation,staticfunctions,$acos1=. cBB*itualfunctions

1). #hatisaninodeinuni@%

"0. s$allpoga$inpascaltoaddanodetoalin!edlist.Uouha*etotell#hatthepoga$does

"1. Cstc$ppoga$Uouha*etotell#hatthepoga$does

"". 'etofdosco$$andstestingbasicfa$iliaity#ithdi,enD.t%t,cdetc.

". 2hatistheodeofbinayseach%

". #hatistheodeofstassens$ati@$ultiplication%

"5. youha*eto$aintain thesotedodeofinteges and insetnteges .#hichdatastuctue

#ould youuse%tee,list,6ueue,aay%

". &heeaet#olistsofintegestobe$eged.2hich$ethod#ouldyounotuse%

"7. n an online database syste$ #hen is data #itten to dis!% onpessing ente, #hen co$$it

o updateisencounteed,atendofdata,alloftheabo*e

"=. '$allpologfunction#hichpints"5tue.Uouneedtotelloutput."). Eisppoga$gi*en.#hatdoesitdo%:CL,ECN,Nultiplies$@n%

0. 2hatispaging%

1. #hatisseg$entation%


25/188

&heefiendsdi*idedso$ebulletse6ually.Afteallofthe$shotbulletsthe

totalnu$beofbulletse$ainingise6ualtothebulletseachhadafte

di*ision.?indtheoiginalnu$bedi*ided.

Answer

18

Assume

tat

initial

tere

were

!"#

bullets$

So

tey

got

#

bullets

eac

a%ter

di&ision$

All

o%

tem

sot

'

bullets$

So

now

tey

a&e

(#

-

')

bullets

eac$

*ut

it

is

gi&en

tat+a%ter

tey

sot

'

bullets

eac+

total

number

o%bullets

remaining

is

equal

to

te

bullets

eac

ad

a%ter

di&ision

i$e$

#

,ere%ore+

te

equation

is!

"

(#

-

')

#!

"

#

-

1.

#.

"

#

1.

#

/

,ere%ore

te

total

bullets

be%ore

di&ision

is

!

"

#

18

?indsu$ofdigitsofL.

Eet

A1)))1)))

( su$ of digits ofA C su$ of digits

of ( L su$ of

digitsofC

H3>&A(CL$od)

Answer

,esumo%tedigitsod0is1$

et

2

sum

o%

digits

o%

0$

3t

%ollows

%rom

te

int

tat

A

2

(mod

4)Consider,

A

=

19991999

o

#ifepatneshehusbandandCa$doesnotplaybidge.

2hois$aiedtoCa$%

Answer

Carrie

is

married

to

Cam$

ESams

wi%e

and

*illys

7usband

play

Carrie

and

,inas

usband

atbridge$E

3t

means

tat

Sam

is

not

married

to

eiter

*illy

or

Carrie$

,us+

Samis

married

to

,ina$

As

Cam

does

not

play

bridge+

*illys

usband

must

be

aurie$

7ence+

Carrie

is

married

to

Cam$

&heeaepesonsT,UandV.Onso$eday,TlenttactostoUandVas

$anyastheyhad.Aftea$onthUga*eas$anytactostoTandVas

$anyastheyha*e.Aftea$onthVdidthesa$ething.Attheendofthis

tansactioneachoneofthe$had".

?indthetactoseachoiginallyhad%

Answer


29/188

One

way

to

sol&e

it

is

by

making

!

equations

and

sol&e

temsimultaneously$

*ut

tere

is

rater

easier

way

to

sol&e

itusing *acktracing$

3ts

gi&en

tat

at

te

end+

eac

ad

.'

tractors

(.'+

.'+

.')

i$e$

a%ter

ga&e

tractors

to

#

G

as

many

as

tey

ad$

3t

means

tat

a%tergetting

tractors

%rom

teir

tractors

got

doubled$

So

be%ore

ga&etem

tractors+

tey

ad

1.

tractors

eac

and

ad

'8

tractors$

(1.+1.+

'8)

Similarly+

be%ore

G

ga&e

tractors

to

#

+

tey

ad

/

.'

tractorsrespecti&ely

and

G

ad

'.

tractors

i$e$

(/+

'.+

.')

Again+

be%ore

#

ga&e

tractors

to

G

+

tey

ad

.1

1.


and

#

ad

!4

tractors

i$e$

(!4+

.1+

1.)

7ence+

initially

#ad!4tractors+Gad.1tractorsandad1.

tractors$

Acetainsteethas1000buildings.Asign-$a!eiscontactedtonu$bethe

housesfo$1to1000.Ho#$any8eoes#illheneed%

Answer

,esign-makerwillneed14.Beroes$

0i&ide

1555

building

numbers

into

groups

o%

155

eac

as

%ollowH(1$$155)+

(151$$.55)+

(.51$$!55)+

$$$$$$$

(451$$1555)

For

te

%irst

group+

sign-maker

will

need

11

Beroes$For

group

numbers

.

to

4+

e

will

require

.5

Beroes

eac$And

%or

group

number

15+

e

will

require

.1

Beroes$

,e

total

numbers

o%

Beroes

required

are

11

:

8".5

:

.1

11

:

1/5

:

.1

14.

&heeae)coins.Outof#hichoneisoddonei.e#eightislesso$oe.

Ho#$anyiteationsof#eighingaee6uiedtofindoddcoin%

Answer

3t

is

always

possible

to

%ind

odd

coin

in

!

weigings

and

to

tellweter

te

odd

coin

is

ea&ier

or

ligter$

1. ,ake

8

coins

and

weig

'

against

'$$ 3%botarenotequal+gotostep.$

3%

bot

are

equal+

goto

step

!

". Oneo%tese8coinsisteoddone$=ametecoinson

ea&ier

side

o%

te

scale

as

71+

7.+

7!

and

7'$

Similarly+


30/188


31/188

simpler

metod+

do

submit

it$

Anu$beof)digitshasthefollo#ingpopeties

,enumbercomprisingtele%tmosttwodigitsisdi&isibleby.+tat

comprising

te

le%tmost

tree

digits

is

di&isible

by

!+

te

le%tmost

%our

by

'+

te

le%tmost

%i&e

by

9+

and

so

on

%or

te

ninedigits

o%

te

number

i$e$

te

number

%ormed

%rom

te

%irst

ndigits

is

di&isible

by

n+

.KnK4$ 2acdigitintenumberisdi%%erenti$e$nodigitsarerepeated$ ,edigit5doesnotoccurintenumberi$e$itiscomprised

only

o%

te

digits

1-4

in

some

order$

Find

te

number$

Answer

,e

answer

is

!81/9'6.4

One

way

to

sol&e

it

is

,rial--2rror$

Gou

can

make

it

bit

easier

as

oddpositions

will

always

occupy

O00

numbers

and

e&en

positions

willalways

occupy

2L2=

numbers$

Furter

9t

position

will

contain

9

as5

does

not

occur$

,e

oter

way

to

sol&e

tis

problem

is

by

writing

a

computer

program

tat

systematically

tries

all

possibilities

1/dofthecontentsofacontainee*apoatedonthe1stday./thofthe

e$ainingcontentsofthecontainee*apoatedonthesecondday.

2hatpatofthecontentsofthecontaineisleftattheendofthesecondday%

Answer

Assume

tat

contents

o%

te

container

is

#

On

te

%irst

day

1>!rd

is

e&aporated$(1

-

1>!)

o%

#

is

remaining

i$e$

(.>!)#

On

te

Second

day

!>'t

is

e&aporated$

7ence+(1-

!>')

o%

(.>!)#

is

remainingi$e$

(1>')(.>!)#

(1>/)

#

7ence

1>/t

o%

te

contents

o%

te

container

is

remaining

Mipul#asstudyingfohise@a$inationsandthelights#entoff.3t#as

aound100AN.Helightedt#ounifo$candlesofe6uallengthbutone

thic!ethantheothe.&hethic!candleissupposed to lastsi@housand

the thin one t#o hous less. 2hen he finally #ent to sleep, the thic!

candle#as t#iceaslongasthethinone.

?oho#longdidMipulstudyincandlelight%


32/188

Answer

Lipu lstud ied%or!oursincandleligt$

Assume

tat

te

initial

lengt

o%

bot

te

candle

was

and

Lipulstudied

%or

#

ours$

3n

#

ours+

total

tick

candle

burnt

#>/3n

#

ours+

total

tin

candle

burnt

#>'

A%ter

#

ours+

total

tick

candle

remaining

-

#>/A%ter

#

ours+

total

tin

candle

remaining

-

#>'

Also+

it

is

gi&en

tat

te

tick

candle

was

twice

as

long

as

te

tin

onewen

e

%inally

went

to

sleep$(

-

#>/)

.(

-

#>')(/

-

#)>/

('

-

#)>.(/

-

#)

!"('

-

#)/

-

#

1.

-

!#.#

/#

!

7ence+

Lipul

studied

%or

!

ours

i$e$

185

minutes

in

candle

ligt$

3fyoustatedabusinessin#hichyoueanedRs.1onthefistday,Rs.on

thesecondday,Rs.5onthethidday,Rs.7onthefouthday,soon.

Ho#$uch#ouldyouha*eeaned#iththisbusinessafte50yeas

assu$ingtheeaee@actly5daysine*eyyea%

Answer

?s$!!!+5/.+955

,o

begin

wit+

you

want

to

know

te

total

number

o%

daysH

!/9

M

95

18.95$

*y

eMperimentation+

te

%ollowing

%ormula

can

be

disco&ered+

usedto

determine

te

amount

earned

%or

any

particular

dayH

1

:

.(M-1)+wit

M

being

te

number

o%

te

day$

,ake

al%

o%

te

18.95

days+

pair

tem

up

wit

te

oter

al%

in

te

%ollowing

wayH

day

1

wit

day18.95+

day

.

wit

day

18.'4+

so

on+

you

will

see

tat

i%

you

add

tese

pairs

togeter+

tey

always

equal

?s$!/955$

Dultiply

tis

number

by

te

total

number

o%

pairs

(41.9)+

you

a&ete

amount

you

would

a&e

earned

in

95

years$

Dat

gurus

may

use

series

%ormula

to

sol&e

it$(seriesH1+!+9+6+4+11$$$$$upto

18.95

terms)A

worker

earns

a

9N

raise$

A

year

later+

te

worker

recei&es

a

.$9Ncut

in

pay+

now

is

salary

is

?s$

..65.$/8


33/188

Iat

was

is

salary

to

begin

witAnswer

?s$..16/

Assume

is

salary

was

?s$

#

7e

earns

9N

raise$

So

is

salary

is

(159"#)>155

A

year

later

e

recei&es

.$9N

cut$

So

is

salary

is((159"#)>155)"(46$9>155)

wic

is

?s$

..65.$/8

7ence+

sol&ing

equation

((159"#)>155)"(46$9>155)

..65.$/8#

..16/

At9oacloc!tic!sti$es.&heti$ebet#eenfistandlasttic!sis0seconds.

Ho#longdoesittic!at1"9o.

Answer

//seconds

3t

is

gi&en

tat

te

time

between

%irst

and

last

ticks

at

/o

is

!5seconds$,otal

time

gaps

between

%irst

and

last

ticks

at

/o

9(i$e$

between

1

.+

.

!+

!

'+

'

9

and

9

/)

So

time

gap

between

two

ticks

!5>9

/

seconds$

=ow+

total

time

gaps

between

%irst

and

last

ticks

at

1.o

11,ere%ore

time

taken

%or

1.

ticks

11

"

/

//

seconds

(and

not

/5

seconds)

955

men

are

arranged

in

an

array

o%

15

rows

and

95

columnsaccording

to

teir

eigts$

,allest

among

eac

row

o%

all

are

asked

to

come

out$

And

tesortest

among

tem

is

A$

Similarly

a%ter

resuming

tem

to

teir

original

positions+

tesortest among

eac

column

are

asked

to

come

out$

And

tetallest

among tem

is

*$

=ow

wo

is

taller

A

or

*

Answer


34/188

=ooneistaller+botaresameasAand*aretesameperson $

As

it

is

mentioned

tat

955

men

are

arranged

in

an

array

o%

15

rowsand

95

columns

according

to

teir

eigts$

ets

assume

tatposition

numbers

represent

teir

eigts$

7ence+

te

sortest

amongte

95+

155+

195+

$$$

'95+

955

is

person

wit

eigt

95

i$e$

A$

Similarlyte

tallest

among

1+

.+

!+

'+

9+

$$$$$

'8+

'8+

95

is

person

wit

eigt

95i$e$

*

=ow+

bot

A

and

*

are

te

person

wit

eigt

95$

7ence

bot

aresame$

3n

Dr$

Detas

%amily+

tere

are

one

grand%ater+

one

grandmoter+two

%aters+

two

moters+

one

%ater-in-law+

one

moter-in-law+

%ourcildren+

tree

grandcildren+

one

broter+

two

sisters+

two

sons+

twodaugters

and

one

daugter-in-law$

7ow

many

members

are

tere

in

Dr$

Detas

%amily

i&e

minimalpossible

answer$Answer

,ere

are

6

members

in

Dr$

Detas

%amily$

Doter

Fater

o%

Dr$Deta+

Dr$

Drs$

Deta+

is

son

and

two

daugters$

Doter

Fater

o%

Dr$

DetaPP

Dr$

Drs$

DetaPP

One

Son

,wo

0augtersIen

AleMander

te

reat

attacked

te

%orces

o%

orus+

an

3ndiansoldier

was

captured

by

te

reeks$

7e

ad

displayed

suc

bra&eryin

battle+

owe&er+

tat

te

enemy

o%%ered

to

let

im

coose

owe wanted

to

be

killed$

,ey

told

im+

E3%

you

tell

a

lie+

you

will

putto

te sword+

and

i%

you

tell

te

trut

you

will

be

anged$E

,e

soldier

could

make

only

one

statement$

7e

made

tat

statementand

went

%ree$

Iat

did

e

say

Answer


35/188


36/188

=ow+

its

ob&ious

tat

e

wanted

to

witdraw

?s$

./$9!

' u b $ it

A n s # e

s e s

A n s # e "

( a in M is ta

A n s # e

,e

game

o%

,ic-,ac-,oe

is

being

played

between

two

players$

Onlyte

last

mark

to

be

placed

in

te

game

as

sown$

Io

will

win

te

game+

O

or

#

Can

you

tell

wic

was

te

siMt

markand

at

wic

position

0o

eMplain

your

answer$

At

te

artyH1. ,ere

were

4

men

and

cildren$". ,erewere.morewomentancildren$. ,enumbero%di%%erentman-womancouplespossiblewas.'$

=ote

tat

i%

tere

were

6

men

and

9

women+

ten

tere

woulda&e

been

!9

man-woman

couples

possible$

Also+

o%

te

tree

groups

-

men+

women

and

cildren

-

at

tepartyH

. ,ere

were

'

o%

one

group$5. ,erewere/o%onegroup$. ,ere

were

8

o%

one

group$

2Mactly

one

o%

te

abo&e

/

statements

is

%alse$

Can

you

tell

wic

one

is

%alse

Also+

ow

many

men+

women

andcildren

are

tere

at

te

party

Assume

tat

bot

te

players

are

intelligent

enoug$

Answer

Owillwintegame$,esiMtmarkwas#insquare4$

,e

6t

mark

must

be

placed

in

square

9

wic

is

te

win

situation%or

bot

#

and

O$

7ence+

te

/t

mark

must

be

placed

in

a

linealready

containing

two

o%

te

opponents

marks$

,ere

are

two

sucpossibilities

-

te

/t

mark

would

a&e

been

eiter

O

in

square

6

or

#in

square

4$

As

we

know

bot

te

players

are

intelligent

enoug+

te

/tmark could

not

be

O

in

square

6$

3nstead+

e

would

a&eplaced

O

in square

9

and

would

a&e

won$


37/188

7ence+

te

siMt

mark

must

be

#

placed

in

square

4$

And

tese&ent

mark

will

be

O$

,us

O

will

win

te

game$

Answer

Statement(')is%alse$,ereare!men+8womenand/cildren$

Assume

tat

Statements

(')+

(9)

and

(/)

are

all

true$

,en+

Statement(1)

is

%alse$

*ut

ten

Statement

(.)

and

(!)

bot

can

not

be

true$,us+

contradictory

to

te

%act

tat

eMactly

one

statement

is

%alse$

So

Statement

(')

or

Statement

(9)

or

Statement

(/)

is

%alse$

Also+Statements

(1)+

(.)

and

(!)

all

are

true$

From

(1)

and

(.)+

tere

are

11

men

and

women$

,en

%rom

(!)+

tereare

.

possible

cases

-

eiter

tere

are

8

men

and

!

women

or

tereare

!

men

and

8

women$

3%

tere

are

8

men

and

!

women+

ten

tere

is

1

cild$

,enStatements

(')

and

(9)

bot

are

%alse+

wic

is

not

possible$

7ence+

tere

are

!

men+

8

women

and

/

cildren$

Statement

(')

is

%alse$

,ere

is

a

sortage

o%

tubeligts+

bulbs

and

%ans

in

a

&illage

-argar$

3t

is

%ound

tat

Allousesdonota&eeitertubeligtorbulbor%an$ eMactly14No%ousesdonota&ejustoneo%tese$ atleast/6No%ousesdonota&etubeligts$ atleast8!No%ousesdonota&ebulbs$ atleast6!No%ousesdonota&e%ans$

Iat

percentage

o%

ouses

do

not

a&e

tubeligt+

bulb

and

%anAnswer

'.Nousesdonota&etubeligt+bulband%an$

ets

assume

tat

tere

are

155

ouses$

7ence+

tere

sould

betotal

!55

items

i$e$

155

tubeligts+

155

bulbs

and

155

%ans$

From

te

gi&en

data+

we

know

tat

tere

is

sortage

o%

atleast

(/6:8!:6!)

..!

items

in

e&ery

155

ouses$

Also+

eMactly

14

ouses

do

not

a&e

just

one

item$

3t

means

tatremaining

81

ouses

sould

account

%or

te

sortage

o%

remaining(..!-14)

.5'

items$

3%

tose

remaining

81

ouses

do

not

a&e

.items

eac+

tere

would

be

a

sortage

o%

1/.

items$

*ut

total

o%

.5'items

are

sort$

7ence+

atleast

(.5'-1/.)

'.

ouses

do

not

a&e

all!

items

-

tubeligt+

bulb

and

%an$

,us+

'.N

ouses

do

not

a&e

tubeligt+

bulb

and

%an$


38/188

Dr$

Subramaniam

rents

a

pri&ate

car

%or

Anderi-Colaba-Anderi

trip$3t

costs

im

?s$

!55

e&eryday$

One

day

te

car

dri&er

in%ormed

Dr$

Subramaniam

tat

tere

were

two

students

%rom

*andra

wo

wised

to

go

%rom

*andra

to

Colabaand

back

to

*andra$

*andra

is

al%way

between

Anderi

and

Colaba$Dr$

Subramaniam

asked

te

dri&er

to

let

te

students

tra&el

wit

im$

On

te

%irst

day

wen

tey

came+

Dr$

Subramaniam

said+

E3%

youtell me

te

matematically

correct

price

you

sould

payindi&idually

%or your

portion

o%

te

trip+

3

will

let

you

tra&el

%or

%ree$E

7ow

muc

sould

te

indi&idual

student

pay

%or

teir

journeyAnswer

,e

indi&idual

student

sould

pay

?s$

95

%or

teir

journey$

=ote

tat

!

persons

are

tra&elling

between

*andra

and

Colaba$

,e

entire

trip

costs

?s$

!55

to

Dr$

Subramanian$

7ence+

al%

o%

tetrip

costs

?s$

195$

For

Anderi-*andra-Anderi+

only

one

person

i$e$

Dr$

Subramaniam

is

tra&elling$

7ence+

e

would

pay

?s$

195$

For

*andra-Colaba-*andra+

tree

persons

i$e

Dr$

Subramaniam

andtwo

students+

are

tra&elling$

7ence+

eac

student

would

pay

?s$

95$

Substitute

digits

%or

te

letters

to

make

te

%ollowing

0i&ision

true)

+

((((((((((((( +

E

-

D

E

-

/

E

D

-

)

C

((((((((((((( +

/

+

E

-

((((((((((

E

--

(((((((( /

+


39/188

=ote

tat

te

le%tmost

letter

cant

be

Bero

in

any

word$

Also+

teremust

be

a

one-to-one

mapping

between

digits

and

letters$

e$g$

i%you substitute

!

%or

te

letter

D+

no

oter

letter

can

be

!

and

alloter

D

in te

puBBle

must

be

Answer

C5+

@1+

S.+

,

!+

O'+

D9+

3/+

6+

28+

04

3t

is

ob&ious

tat

@1

(as

@"S,2DS,2D)

and

C5

(as

3-C3)$

S"O

is

a

single

digit

and

also

S",

is

a

single

digit$

7ence+

teir

&alues(O+

S+

,)

must

be

.+

!

or

'

(as

tey

can

not

be

5

or

1

or

greater

tan')$

Consider+

S,2D"O0DOC+

were

C5$

3t

means

tat

D

must

be

9$=ow+

its

simple$

O'+

S.+

,!+

28+

6+

3/

and

04$)+ 41

(((((((((((((

(((((((((((((

+

E

-

D

E

-

/

E 2

8

5

9

8

5

6

2

8

D

-

)

C

9

5

4

0

(((((((((((((

(((((((((((((

+

/

1

6

2

+

E

- 2

8

5

((((((((((

((((((((((

E

8

-

-

1

5

5

((((((((

((((((((

/

+ 6

2

Also+

wen

arranged

%rom

5

to

4+

it

spells

C@S,

OD320$At

wat

time

a%ter

'$55

p$m$

is

te

minutes

and

o%

a

clock

eMactlyaligned

wit

te

our

and


40/188

Answer

'H.1H'4$9

Assume

tat

#

minutes

a%ter

'$55

D

minute

and

eMactly

aligns

witand

our

and$

For

e&ery

minute+

minute

and

tra&els

/

degrees$7ence+

%or

#

minutes

it

will

tra&el

/

"

#

degrees$

For

e&ery

minute+

our

and

tra&els

1>.

degrees$7ence+

%or

#

minutes

it

will

tra&el

#>.

degrees$

At

'$55

D+

te

angle

between

minute

and

and

our

and

is

1.5degrees$

Also+

a%ter

#

minutes+

minute

and

and

our

and

areeMactly

aligned$

So

te

angle

wit

respect

to

1.

i$e$

Lertical

lane

willbe

same$

,ere%ore+

/

"

#

1.5

:

#>.1.

"

#

.'5

:

#11

"

#

.'5#

.1$818.#

.1

minutes

'4$9

seconds

7ence+

at

'H.1H'4$9

minute

and

is

eMactly

aligned

wit

te

ourand$

A

soldier

looses

is

way

in

a

tick

jungle$

At

random

e

walks

%romis

camp

but

matematically

in

an

interesting

%asion$

First

e

walks

one

mile

2ast

ten

al%

mile

to

=ort$

,en

1>'

mile

toIest+

ten

1>8

mile

to

Sout

and

so

on

making

a

loop$

Finally

ow

%ar

e

is

%rom

is

camp

and

in

wic

direction

Answer

,

esoldieris5$84''milesaway%romiscamptowards

2ast-=ort$

3t

is

ob&ious

tat

e

is

in

2ast-=ort

direction$

0istance

tra&elled

in

=ort

and

Sout

directions

1>.

-

1>8

:

1>!.

-

1>1.8

:

1>91.

-

1>.5'8

:

and

so

on$$$

(ageometric

series

wit

r

(-1>')

)

(1>.)

"

(

1

-

(-1>')n )

---------------------------(

1

-

(-1>')

)

1

>

(

.

"

(

1

-

(-1>')

)

)

.>9


41/188

Similarly

in

2ast

and

Iest

directions

1

-

1>'

:

1>1/

-

1>/'

:

1>.9/

-

and

so

on$$$

(a

geometric

series

witr

(-1>')

)

(1)

"

(

1

-

(-1>')n )

---------------------------(

1

-

(-1>')

)

1

>

(

(

1-

(-1>')

)

'>9

So

te

soldier

is

'>9

miles

away

towards

2ast

and

.>9

miles

awaytowards

=ort$

So

using

rigt

angled

triangle+

soldier

is

5$84''

milesaway

%rom

is

camp$

?aj

as

a

jewel

cest

containing

?ings+

ins

and

2ar-rings$

,ecest

contains

./

pieces$

?aj

as

.

1>.

times

as

many

rings

as

pins+and

te

number

o%

pairs

o%

earrings

is

'

less

tan

te

number

o%rings$

7ow

many

earrings

does

?aj

a&e

Answer

1.

earrings

Assume

tat

tere

are

?

rings+

pins

and

2

pair

o%

ear-rings$

3t

is

gi&en

tat+

e

as

.

1>.

times

as

many

rings

as

pins$?

(9>.)

"

or

(."?)>9

And+

te

number

o%

pairs

o%

earrings

is

'

less

tan

te

number

o%rings$2

?

-

'

or

?

2

:

'

Also+

tere

are

total

./

pieces$?

:

:

."2

./?

:

(."?)>9

:

."2

./9"?

:

."?

:

15"2

1!56"?

:

15"2

1!5

6"(2

:

')

:

15"2

1!56"2

:

.8

:

15"2

1!516"2

15.2

/

7ence+

tere

are

/

pairs

o%

2ar-rings

i$e$

total

1.

2ar-rings7ow

many

ways

are

tere

o%

arranging

te

siMteen

black

or

witepieces

o%

a

standard

international

cess

set

on

te

%irst

two

rows

o%te

board

i&en

tat

eac

pawn

is

identical

and

eac

rook+

knigt

and

bisop

is


42/188

identical

to

its

pair$Submitted

Answer

/+'8+/'+855ways

,ere

are

total

1/

pieces

wic

can

be

arranged

on

1/

places

in1/1/ 1/Rways$(1/R

1/

"

19

"

1'

"

1!

"

1.

"

$$$$$

"

!

"

.

"

1)

*ut+

tere

are

some

duplicate

combinations

because

o%

identicalpieces$

,ere

are

8

identical

pawn+

wic

can

be

arranged

in

8

8

8Rways$ Similarlytereare.identicalrooks+.identicalknigtsand.

identical

bisops$

2ac

can

be

arranged

in

..

.R

ways$

7ence+

te

require

answer

is

(1/R)

>

(8R

"

.R

"

.R

"

.R)

/+'8+/'+855

A

person

wit

some

money

spends

1>!

%or

clots+

1>9

o%

teremaining

%or

%ood

and

1>'

o%

te

remaining

%or

tra&el$

7e

is

le%t

wit?s

155>-

7ow

muc

did

e

a&e

wit

im

in

te

begining

Answer

?s$.95>-

Assume

tat

initially

e

ad

?s$

#7e

spent

1>!

%or

clots

$

(1>!)

"# ?emaining

money

(.>!)

"

#

7e

spent

1>9

o%

remaining

money

%or

%ood

(1>9)

"

(.>!)

"

#

(.>19)"

#?emaining

money

(.>!)

"

#

-

(.>19)

"

#

(8>19)

"

#

Again+

e

spent

1>'

o%

remaining

maoney

%or

tra&el

(1>')

"

(8>19)

"

#

(.>19)

"

#?emaining

money

(8>19)

"

#

-

(.>19)

"

#

(/>19)

"

#

*ut

a%ter

spending

%or

tra&el

e

is

le%t

wit

?s$

155>-

So(/>19)

"

#

155#

.95

rass

in

lawn

grows

equally

tick

and

in

a

uni%orm

rate$

3t

takes.' days

%or

65

cows

and

/5

days

%or

!5

cows

to

eat

te

wole

o%

te grass$


43/188

7ow

many

cows

are

needed

to

eat

te

grass

in

4/

daysAnswer

.5

cows

g

-

grass

at

te

beginningr

-

rate

at

wic

grass

grows+

per

dayy

-

rate

at

wic

one

cow

eats

grass+

per

dayn

-

no

o%

cows

to

eat

te

grass

in

4/

days

From

gi&en

data+g

:

.'"r

65

"

.'

"

y

----------

Ag

:

/5"r

!5

"

/5

"

y

----------

*g

:

4/"r

n

"

4/

"

y

----------

C

Sol&ing

%or

(*-A)+(/5

"

r)

-

(.'

"

r)

(!5

"

/5

"

y)

-

(65

"

.'

"

y)!/

"

r

1.5

"

y

----------

0

Sol&ing

%or

(C-*)+(4/

"

r)

-

(/5

"

r)

(n

"

4/

"

y)

-

(!5

"

/5

"

y)!/

"

r

(n

"

4/

-

!5

"

/5)

"

y

1.5

"

y

(n

"

4/

-

!5

"

/5)

"

y

;From

09!)

.

>

(91

"

9!)

CAS2

.Hingo%7eartsisnotdrawn%romackA

robability

o%

not

drawing

ing

o%

7earts

%rom

ack

A

95>91

(asQueen

o%

7earts

is

not

to

be

drawn)robability

o%

a&ing

ing

o%

7earts

on

te

top

o%

te

ack

*

1>9!

So

total

probability

o%

case

.

(95>91)

"

(1>9!)

95

>

(91

"

9!)

=ow

adding

bot

te

probability+

te

required

probability

is

.

>

(91

"

9!)

:

95

>

(91

"

9!)

9.

>

(91

"

9!)

9.

>

.65!

5$514.!68,ere

are

!

ants

at

!

corners

o%

a

triangle+

tey

randomly

startmo&ing

towards

anoter

corner$

Iat

is

te

probability

tat

tey

dont

collide

Answer

ets

mark

te

corners

o%

te

triangle

as

A+*+C$

,ere

are

total

8ways

in

wic

ants

can

mo&e$

1. A-T*+*-TC+C-TA". A-T*+*-TC+C-T*. A-T*+*-TA+C-TA. A-T*+*-TA+C-T*5. A-TC+

C-T*+

*-TA. A-TC+C-T*+*-TC7. A-TC+C-TA+*-TA

=. A-TC+

C-TA+

*-TC


47/188

Out

o%

wic+

tere

are

only

two

cases

under

wic

te

ants

wontcollide

H

A-T*+*-TC+C-TA

A-TC+

C-T*+

*-TA

?indallsetsofconsecuti*eintegesthataddupto1000.

Submitted

by

:

James

Barberousse

Answer

,ere

are

total

8

suc

seriesH

1. Sum

o%

.555

numbers

starting

%rom

-444

i$e$

summation

o%numbers

%rom

-444

to

1555$(-444)

:

(-448)

:

(-446)

:

$$$$$

:

(-1)

:

5

:

1

:

.

:

$$$$$

:

446

:448

:

444

:

1555

1555". Sumo%'55numbersstarting%rom-146i$e$summationo%

numbers

%rom

-146

to

.5.$(-146)

:

(-14/)

:

(-149)

:

$$$$$

:

(-1)

:

5

:

1

:

.

:

$$$$$

:

144

:.55

:

.51

:

.5.

1555. Sumo%1.9numbersstarting%rom-9'i$e$summationo%

numbers

%rom

-9'

to

65$(-9')

:

(-9!)

:

(-9.)

:

$$$$$

:

(-1)

:

5

:

1

:

.

:

$$$$$

:

/8

:

/4

:65

1555. Sumo%85numbersstarting%rom-.6i$e$summationo%

numbers

%rom

-.6

to

9.$(-.6)

:

(-./)

:

(-.9)

:

$$$$$

:

(-1)

:

5

:

1

:

.

:

$$$$$

:

95

:

91

:9.

15555. Sum

o%

.9

numbers

starting

%rom

.8

i$e$

summation

o%numbers

%rom

.8

to

9.$

.8

:

.4

:

!5

:

!1

:

!.

:

!!

:

!'

:

!9

:

!/

:

!6

:

!8

:

!4:

'5

:

'1

:

'.

:

'!

:

''

:

'9

:

'/

:

'6

:

'8

:

'4

:

95

:91

:

9.

1555. Sumo%1/numbersstarting%rom99i$e$summationo%

numbers

%rom

99

to

65$99

:

9/

:

96

:

98

:

94

:/5

:

/1

:

/.

:

/!

:

/'

:

/9

:

//

:/6

:

/8

:

/4

:

65

15557. Sumo%9numbersstarting%rom148i$e$summationo%

numbers

%rom

148

to

.5.$148

:

144

:

.55

:.51

:

.5.

1555=. Sum

o%

1

number

starting

%rom

1555$1555

1555

,ere

is

a

'-caracter

code+

wit

.

o%

tem

being

letters

and

teoter

.

being

numbers$

7ow

many

maMimum

attempts

would

be

necessary

to

%ind

te

correct


48/188


49/188


50/188

E A E

1

5

4

1

& - E & 6

1

((((((((((((((((( (((((((((((((((((

A ) 3 E 5

0

2

1

One

o%

te

%our

people

-

Dr$

Clinton+

is

wi%e

Donika+

teir

son

Dandyand

teir

daugter

Cindy

-

is

a

singer

and

anoter

is

a

dancer$

Dr$Clinton

is

older

tan

is

wi%e

and

Dady

is

older

tan

is

sister$

1. 3%

te

singer

and

te

dancer

are

te

same

seM+

ten

te

danceris

older

tan

te

singer$". 3%neitertesingernortedanceristeparento%teoter+

ten

te

singer

is

older

tan

te

dancer$. 3%tesingerisaman+tentesingerandtedancerarete

same

age$. 3%

te

singer

and

te

dancer

are

o%

opposite

seM

ten

te

manis

older

tan

te

woman$5. 3%

te

dancer

is

a

woman+

ten

te

dancer

is

older

tan

tesinger$

Iose

occupation

do

you

know

And

wat

is

is>er

occupationAnswer

CindyisteSinger$Dr$ClintonorDon ikaiste0ancer$

From

(1)

and

(!)+

te

singer

and

te

dancer+

bot

can

not

be

a

man$From

(!)

and

(')+

i%

te

singer

is

a

man+

ten

te

dancer

must

be

aman$

7ence+

te

singer

must

be

a

woman$

CAS2

3

H

Singer

is

a

woman

and

0ancer

is

also

a

woman,en+

te

dancer

is

Donika

and

te

singer

is

Cindy$

CAS2

33

H

Singer

is

a

woman

and

0ancer

is

also

a

man,en+

te

dancer

is

Dr$

Clinton

and

te

singer

is

Cindy$

3n

bot

te

cases+

we

know

tat

Cindy

is

te

Singer$

And

eiter

Dr$Clinton

or

Donika

is

te

0ancer$,ere

are

.5

people

in

your

applicant

pool+

including

9

pairs

o%

identical

twins$

3%

you

ire

9

people

randomly+

wat

are

te

cances

you

will

ire

atleast

1

pair

o%

identical

twins

(=eedless

to

say+

tis

could

causetrouble

J))Submitted

Answer

,

e

probability

to

ire

9

peop le

wit

at

least

1

pair

o%

identical


51/188

twinsis.9$.8N

9

people

%rom

te

.5

people

can

be

ired

in

.5C9

1995'

ways$

=ow+

di&ide

.5

people

into

two

groups

o%

15

people

eac

H1

-

wit

all

twins.

-

wit

all

people

oter

tan

twins

ets

%ind

out

all

possible

ways

to

ire

9

people

witout

a

single

pairo%

indentical

twins$

eop le%rom1

eop le%rom.

=oo%waystoire1witoutasinglepairo%

indenticaltwins

=o o%ways toire.

,otal

ways

5 9 15C5 15C9 .9.1 ' 15C1 15C' .155

. ! 15C.

"

8>4 15C! '855

! . 15C!

"

8>4

"

/>8 15C. !/55

' 1 15C'

"

8>4

"

/>8

"

'>6 15C1 855

9 5 15C9

"

8>4

"

/>8

"

'>6

"

.>/ 15C5 !.

,otal 1198'

,us+

total

possible

ways

to

ire

9

people

witout

a

single

pair

o%indentical

twins

1198'

ways

So+

total

possible

ways

to

ire

9

people

wit

at

least

a

single

pair

o%indentical

twins

1995'

-

1198'

!4.5

ways

7ence+

te

probability

to

ire

9

people

wit

at

least

a

single

pair

o%indentical

twins

!4.5>1995'

.'9>4/4

5$.9.8

.9$.8N3n

a

otel+

rooms

are

numbered

%rom

151

to

995$

A

room

is

cosenat

random$

Iat

is

te

probability

tat

room

number

starts

wit

1+

.or

!

and

ends

wit

'+

9

or

/

Answer

,ere

are

total

'95

rooms$

Out

o%

wic

.44

room

number

starts

wit

eiter

1+

.

or

!$

(asroom number

155

is

not

tere)

=ow

out

o%

tose

.44

rooms

only45

room numbers

end

wit

'+

9

or

/

So

te

probability

is

45>'95

i$e$

1>9

or

5$.50raw

4

dots

on

a

page+

in

te

sape

o%

tree

rows

o%

tree

dots

to%orm

a

square$

=ow

place

your

pen

on

te

page+

draw

'

straigt

lines

and

try

and

co&er

all

te

dots$


52/188

Goure

not

allowed

to

li%t

your

pen$

=oteH

0ont

be

con%ined

by

te

dimensions

o%

te

square$

Submitted

&heeaepesonsT,UandV.Onso$eday,TlenttactostoUandVas

$anyastheyhad.Aftea$onthUga*eas$anytactostoTandVas

$anyastheyha*e.Aftea$onthVdidthesa$ething.Attheendofthis

tansactioneachoneofthe$had".

?indthetactoseachoiginallyhad%

Answer

One

way

to

sol&e

it

is

by

making

!

equations

and

sol&e

temsimultaneously$

*ut

tere

is

rater

easier

way

to

sol&e

itusing *acktracing$

3ts

gi&en

tat

at

te

end+

eac

ad

.'

tractors

(.'+

.'+

.')

i$e$

a%ter

ga&e

tractors

to

#

G

as

many

as

tey

ad$

3t

means

tat

a%tergetting

tractors

%rom

teir

tractors

got

doubled$

So

be%ore

ga&etem

tractors+

tey

ad

1.

tractors

eac

and

ad

'8

tractors$

(1.+1.+

'8)

Similarly+

be%ore

G

ga&e

tractors

to

#

+

tey

ad

/

.'


and

G

ad

'.

tractors

i$e$

(/+

'.+

.')

Again+

be%ore

#

ga&e

tractors

to

G

+

tey

ad

.1

1.


and

#

ad

!4

tractors

i$e$

(!4+

.1+

1.)

7ence+

initially

#

ad

!4tractors+Gad.1tractorsandad1.

tractors$

,ere

is

a

95m

long

army

platoon

marcing

aead$

,e

last

personin

te

platoon

wants

to

gi&e

a

letter

to

te

%irst

person

leading

teplatoon$

So

wile

te

platoon

is

marcing

e

runs

aead+

reaces

te%irst

person

and

ands

o&er

te

letter

to

im

and

witout

stopping

eruns

and

comes

back

to

is

original

position$

3n

te

mean

time

te

wole

platoon

as

mo&ed

aead

by

95m$

,e

question

is

ow

muc

distance

did

te

last

person

co&er

intat time$

Assuming

tat

e

ran

te

wole

distance

wit

uni%ormspeed$ Submitted

Answer

,

e

last

person

co&ered

1.5$61

meters$


53/188

3t

is

gi&en

tat

te

platoon

and

te

last

person

mo&ed

wit

uni%ormspeed$

Also+

tey

bot

mo&ed

%or

te

identical

amount

o%

time$7ence+

te

ratio

o%

te

distance

tey

co&ered

-

wile

person

mo&ing

%orward

and

backword

-

are

equal$

ets

assume

tat

wen

te

last

person

reaced

te

%irst

person+

teplatoon

mo&ed

#

meters

%orward$

,us+

wile

mo&ing

%orward

te

last

person

mo&ed

(95:#)

meterswereas

te

platoon

mo&ed

#

meters$

Similarly+

wile

mo&ing

back

te

last

person

mo&ed

;95-(95-#)#

#>(95-#)(95:#)"(95-#)

#"#

Sol&ing+

#!9$!99

meters

,us+

total

distance

co&ered

by

te

last

person

(95:#)

:

#

."#

:

95

."(!9$!99)

:

95

1.5$61

meters

=ote

tat

at

%irst

glance+

one

migt

tink

tat

te

total

distanceco&ered

by

te

last

person

is

155

meters+

as

e

ran

te

total

lengto%

te

platoon

(95

meters)

twice$

,?@2+

but

tats

te

relati&edistance

co&ered

companies aptitude tests

Documents