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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$be
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lasttea$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%
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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$%
). 2hat is the diffeence bet#een 'tings and Aays%
)5. 3n a heade file #hethe functions ae declaed o defined%). 2hat is a fa pointe% #hee #e use it%
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)7. Ho# #i l you declae an aay of thee function pointes #hee each
function ecei*es t#o ints and etuns a float%
)=. #hat is a >EE ointe% 2hethe it is sa$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 $a loc%
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10.Can you dyna$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 $ain diffeences bet#een pocedue oiented languages
and ob+ect oiented languages%
1==.2hat is R & & 3 %
1=).2hat ae geneic functions and geneic classes%
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"5.2hen#ouldyouchoosebotto$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$$ing,$ultitheading%
"5".Liffeencebet#een$ultitheadingand$ultitas!ing%
"5.2hatissoft#aelifecycle%
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"55.@plainaboutpagedseg$entationandseg$entpaging
"5.2hileunningLO'onaC,#hichco$$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%
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AptitudeQuestions
"1. &heeso$ebeesinagaden..1/5thofthe$#enttoapaticulaflo#e,1/d#enttoanothe
flo#e,ti$esthediffeenceoftheabo*et#o#enttothidflo#e..none#ase$ainingnit#as
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"". ;i$nHayha*ethesa$enu$beof$ables#hentheystatplaying..nthenafte#ads...;i$gains
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he ta*elsfoanhnseesthesa$e"digitsine*eseode..nthenafteanhheseesthatthe
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findhousenu$be.
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&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$
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$anyastheyhad.Aftea$onthUga*eas$anytactostoTandVas
$anyastheyha*e.Aftea$onthVdidthesa$ething.Attheendofthis
tansactioneachoneofthe$had".
?indthetactoseachoiginallyhad%
Answer
8/10/2019 Companies Aptitude Tests
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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.
tractorsrespecti&ely
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+
8/10/2019 Companies Aptitude Tests
30/188
8/10/2019 Companies Aptitude Tests
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%
8/10/2019 Companies Aptitude Tests
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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$$$$$upto
18.95
terms)A
worker
earns
a
9N
raise$
A
year
later+
te
worker
recei&es
a
.$9Ncut
in
pay+
now
is
salary
is
?s$
..65.$/8
8/10/2019 Companies Aptitude Tests
33/188
Iat
was
is
salary
to
begin
witAnswer
?s$..16/
Assume
is
salary
was
?s$
#
7e
earns
9N
raise$
So
is
salary
is
(159"#)>155
A
year
later
e
recei&es
.$9N
cut$
So
is
salary
is((159"#)>155)"(46$9>155)
wic
is
?s$
..65.$/8
7ence+
sol&ing
equation
((159"#)>155)"(46$9>155)
..65.$/8#
..16/
At9oacloc!tic!sti$es.&heti$ebet#eenfistandlasttic!sis0seconds.
Ho#longdoesittic!at1"9o.
Answer
//seconds
3t
is
gi&en
tat
te
time
between
%irst
and
last
ticks
at
/o
is
!5seconds$,otal
time
gaps
between
%irst
and
last
ticks
at
/o
9(i$e$
between
1
.+
.
!+
!
'+
'
9
and
9
/)
So
time
gap
between
two
ticks
!5>9
/
seconds$
=ow+
total
time
gaps
between
%irst
and
last
ticks
at
1.o
11,ere%ore
time
taken
%or
1.
ticks
11
"
/
//
seconds
(and
not
/5
seconds)
955
men
are
arranged
in
an
array
o%
15
rows
and
95
columnsaccording
to
teir
eigts$
,allest
among
eac
row
o%
all
are
asked
to
come
out$
And
tesortest
among
tem
is
A$
Similarly
a%ter
resuming
tem
to
teir
original
positions+
tesortest among
eac
column
are
asked
to
come
out$
And
tetallest
among tem
is
*$
=ow
wo
is
taller
A
or
*
Answer
8/10/2019 Companies Aptitude Tests
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=ooneistaller+botaresameasAand*aretesameperson $
As
it
is
mentioned
tat
955
men
are
arranged
in
an
array
o%
15
rowsand
95
columns
according
to
teir
eigts$
ets
assume
tatposition
numbers
represent
teir
eigts$
7ence+
te
sortest
amongte
95+
155+
195+
$$$
'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
8/10/2019 Companies Aptitude Tests
35/188
8/10/2019 Companies Aptitude Tests
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$
8/10/2019 Companies Aptitude Tests
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$
8/10/2019 Companies Aptitude Tests
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
--
(((((((( /
+
8/10/2019 Companies Aptitude Tests
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
8/10/2019 Companies Aptitude Tests
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
8/10/2019 Companies Aptitude Tests
41/188
Similarly
in
2ast
and
Iest
directions
1
-
1>'
:
1>1/
-
1>/'
:
1>.9/
-
and
so
on$$$
(a
geometric
series
witr
(-1>')
)
(1)
"
(
1
-
(-1>')n )
---------------------------(
1
-
(-1>')
)
1
>
(
(
1-
(-1>')
)
'>9
So
te
soldier
is
'>9
miles
away
towards
2ast
and
.>9
miles
awaytowards
=ort$
So
using
rigt
angled
triangle+
soldier
is
5$84''
milesaway
%rom
is
camp$
?aj
as
a
jewel
cest
containing
?ings+
ins
and
2ar-rings$
,ecest
contains
./
pieces$
?aj
as
.
1>.
times
as
many
rings
as
pins+and
te
number
o%
pairs
o%
earrings
is
'
less
tan
te
number
o%rings$
7ow
many
earrings
does
?aj
a&e
Answer
1.
earrings
Assume
tat
tere
are
?
rings+
pins
and
2
pair
o%
ear-rings$
3t
is
gi&en
tat+
e
as
.
1>.
times
as
many
rings
as
pins$?
(9>.)
"
or
(."?)>9
And+
te
number
o%
pairs
o%
earrings
is
'
less
tan
te
number
o%rings$2
?
-
'
or
?
2
:
'
Also+
tere
are
total
./
pieces$?
:
:
."2
./?
:
(."?)>9
:
."2
./9"?
:
."?
:
15"2
1!56"?
:
15"2
1!5
6"(2
:
')
:
15"2
1!56"2
:
.8
:
15"2
1!516"2
15.2
/
7ence+
tere
are
/
pairs
o%
2ar-rings
i$e$
total
1.
2ar-rings7ow
many
ways
are
tere
o%
arranging
te
siMteen
black
or
witepieces
o%
a
standard
international
cess
set
on
te
%irst
two
rows
o%te
board
i&en
tat
eac
pawn
is
identical
and
eac
rook+
knigt
and
bisop
is
8/10/2019 Companies Aptitude Tests
42/188
identical
to
its
pair$Submitted
Answer
/+'8+/'+855ways
,ere
are
total
1/
pieces
wic
can
be
arranged
on
1/
places
in1/1/ 1/Rways$(1/R
1/
"
19
"
1'
"
1!
"
1.
"
$$$$$
"
!
"
.
"
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$
8/10/2019 Companies Aptitude Tests
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
8/10/2019 Companies Aptitude Tests
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
8/10/2019 Companies Aptitude Tests
48/188
8/10/2019 Companies Aptitude Tests
49/188
8/10/2019 Companies Aptitude Tests
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
8/10/2019 Companies Aptitude Tests
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$
8/10/2019 Companies Aptitude Tests
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
/
.'
tractorsrespecti&ely
and
G
ad
'.
tractors
i$e$
(/+
'.+
.')
Again+
be%ore
#
ga&e
tractors
to
G
+
tey
ad
.1
1.
tractorsrespecti&ely
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$61
meters$
8/10/2019 Companies Aptitude Tests
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