TCS Test Paper With Answer - Kurnool, September 13, 2012.

7/23/2019 TCS Test Paper With Answer - Kurnool, September 13, 2012.

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1. (1/2) Of A Number Is 3 Times More Than The (1/6) Of The Same Number?

Solution1/2!"3#1/6! "$!"%

2. There are t&o &ater tan's A an * A is mu+h smaller than . ,hile &ater fills at the rate of 1 liter e-er hour in A* it ets fille

u0 li'e* 1* 2* * * 16 in tan' . (At the en of first hour* has 1 liters* se+on hour it has 2 liters an so on). If tan' is

1/32 fille of the 21 hours* &hat is total uration of hours re4uire to fill it +om0letel?

a) 26 )25 +)5 )2

Solution for e-er hour &ater in tan' in is ouble*7et the uration to fill the tan' is ! hours.

8/32 0art of &ater in tan' of is fille in 21 hours*

Ne!t hour it is ouble so*

29(!/32) 0art i.e (!/16) 0art is fille in 22 hours*

Similarl (!/) th 0art in 23 hours*(!/)th 0art is fille in 2 hours*

(!/2) th 0art is fille in 25 hours* (!) th 0art is fille in 26 hours

So ans&er is 26 hours.

3. There Are T&o :i0es A An . If A ;ille 1 7iters In <our =an ;ills 2 7iters In Same Time. 7i'e&ise =an ;ill 1* 2* *

*16.... If ;ille In (1/16) Th Of A Tan' In 3 <ours* <o& Mu+h Time ,ill It Ta'e To ;ill =om0letel?

Ans <ours

(2 >uestions are i-en of this moel.)

. ;errari S.:.A is an Italian s0orts +ar manufa+turer base in Maranello* Ital. ;oune b n@o ;errari in 1%2 as S+ueria ;errari*

the +om0an s0onsore ri-ers an manufa+ture ra+e +ars before mo-in into 0rou+tion of streetleal -ehi+les in 1% as ;errari

S.:.A. Throuhout its histor* the +om0an has been note for its +ontinue 0arti+i0ation in ra+in* es0e+iall in ;ormula One &here

it has em0loe reat su++ess .Bohit on+e bouht a ;errari. It +oul o times as fast as Mohan*s ol Mer+ees. If the s0ee of

Mohan*s Mer+ees is 35 'm/hr an the istan+e tra-ele b the ;errari is % 'm* fin the total time ta'en for Bohit to ri-e that

istan+e.

a) 2.2 b) 3.5 +) 23.25 ) 6.1

Solution %/(935)

5. A +ir+ular artboar of raius 1 foot is at a istan+e of 2 feet from ou. Cou thro& a art at it an it hits the artboar at some

0oint > in the +ir+le. ,hat is the 0robabilit that > is +loser to the +enter of the +ir+le than the 0eri0her?

.5

1

.5

.25

solution.25

If it is a +ir+ular artboar (:I9((r/2)D2))/(:I9(rD2))".25If it is a s4uare artboar (:I9((r/)D2))/(rD2)"(a00).2

6. ;or the ;I;A &orl +u0* :aul the o+to0us has been 0rei+tin the &inner of

ea+h mat+h &ith ama@in su++ess. It is rumore that in a mat+h bet&een 2 teams A an * :aul 0i+'s A &ith the same 0robabilit

as A*s +han+es of &innin.

7et*s assume su+h rumors to be true an that in a mat+h bet&een Ehana an oli-ia* Ehana the stroner team has a 0robabilit of

2/3 of &innin the ame. ,hat is the 0robabilit that :aul &ill +orre+tl 0i+' the &inner of the Ehanaoli-ia ame?

/%

2/3

1/%

5/%

Solution(1/391/3)#(2/392/3)"5/%

. The +iti@ens of 0lanet niiet are finere an ha-e thus e-elo0e their e+imal sstem in base . A +ertain street in niiet+ontains 1 (in base

builins numbere 1 to 1. <o& man 3s are use in numberin these builins?

256

5

1%2

6

Solution;rom 1 to 1 number of 3Fs are 3.

Sin+e the mentione finere &e ha-e to ta'e base .



i.e.* (39(D2))#(9(D1))#(9(D))"1%2

ans&er is 1%2

. 36 0eo0le Ga1* a2* .* a36H meet an sha'e hans in a +ir+ular fashion. In

other &ors* there are totall 36 hansha'es in-ol-in the 0airs* Ga1* a2H* Ga2* a3H*....* Ga35* a36H* Ga36* a1H. Then si@e of the

smallest set of 0eo0le su+h that the rest ha-e sha'en hans &ith at least one 0erson in the set is

12

131

11

Solution for at least one 0erson for e!a+tl one 0erson "36/3

for at least t&o 0erson for e!a+tl t&o 0erson "36/2

%. Ei-en 3 lines in the 0lane su+h that the 0oints of interse+tion form a trianle &ith sies of lenth 2* 2 an 3* the number of

0oints e4uiistant from all the 3 lines is

3

1

Solution ;or 3 lines of interse+tion the ans&er is

;or 3 linesements of interse+tion the ans&er is 1

1. Alo' an hanu 0la the follo&in minma! ame. Ei-en the e!0ression

N"%#8#CJ &here 8* C an J are -ariables re0resentin sinle iits ( to %)* Alo' &oul li'e to ma!imi@e N &hile hanu &oul

li'e to minimi@e it. To&ars this en* Alo' +hooses a sinle iit number an hanu substitutes this for a -ariable of her +hoi+e (8* C

or J). Alo' then +hooses the ne!t -alue an hanu* the -ariable to substitute the -alue. ;inall Alo' 0ro0oses the -alue for the

remainin -ariable. Assumin both 0la to their o0timal strateies* the -alue of N at the en of the ame &oul be

2

1

2

Solution %#11"2

;or 8#CJ"11*89(CJ)"1* 8CJ"2

11. After the t0ist &rites 12 letters an aresses 12 en-elo0es* she inserts the letters ranoml into the en-elo0es (1 letter 0er

en-elo0e). ,hat is the 0robabilit that e!a+tl 1 letter is inserte in an im0ro0er en-elo0e?

12/212

11/12

1/12

Ans&er

12. 1 sus0e+ts are roune b the 0oli+e an 4uestione about a ban' robber. Onl one of them is uilt. The sus0e+ts are mae

to stan in a line an ea+h 0erson e+lares that the 0erson ne!t to him on his riht is uilt. The rihtmost 0erson is not

4uestione. ,hi+h of the follo&in 0ossibilities are true?

A. All sus0e+ts are lin or the leftmost sus0e+t is inno+ent.

. All sus0e+ts are lin an the leftmost sus0e+t is inno+ent .

A onl

Neither A nor oth A an

onl

Ans&er

All sus0e+ts are lin or the leftmost sus0e+t is inno+ent.

All sus0e+ts are lin an the leftmost sus0e+t is inno+ent .

oth +an satisf the situation so ans&er is Koth A an K

(&e ha-e to ta'e onl truth -alues)



13. In the reain room of a librar* there are 23 reain s0ots. a+h reain s0ot +onsists of a roun table &ith % +hairs 0la+e

aroun it. There are some reaers su+h that in ea+h o++u0ie reain s0ot there are ifferent numbers of reaers. If in all there are

36 reaers* ho& man reain s0ots o not ha-e e-en a sinle reaer?

a)

b) none

+) 16

) 15

Solution 23 reain s0ots* a+h reain s0ot +onsists of % +hairs 0la+e aroun it so There are some reaers su+h that in ea+h

o++u0ie reain s0ot there are ifferent numbers of reaers. ;or ea+h table ifferent no of 0ersons are sat*so for first table 10erson is sit*2n table 2 0ersons are s it 36

reaers means(1#2#3##5#6## so tables are fille so 23"15 reain s0ots oes not ha-e sinle reaer.

1. Mile earth is a fi+tional lan inhabite b hobbits* el-es* &ar-es an men. The hobbits an el-es are 0ea+eful +reatures that

0refer slo&* silent li-es an a00re+iate nature an art. The &ar-es an the men enae in 0hsi+al ames. The ame is as follo&s.

A tournament is one &here out of the t&o teams that 0la a mat+h* the one that loses et eliminate. The mat+hes are 0lae in

ifferent rouns* &here in e-er rounL half of the teams et eliminate from the tournament. If there are rouns 0lae in 'no+'

out tournament* ho& man mat+hes &ere 0lae?

a) 25

b) 256

+) 2

) 255

Solution Number of mat+hes"2D

Number of teams"2D1

Number of members left in 1st roun"12

15. There is friens (A1* A2* A3....A).If A1 ha-e to ha-e sha'e &ith all &ithout re0eat. <o& man hansha'es 0ossible?

a) 6

b) 21

+) 2

)

Solution6

16. There are t&o bo!es* one +ontainin 1 re balls an the other +ontainin 1 reen balls. Cou are allo&e to mo-e the balls

bet&een the bo!es so that &hen ou +hoose a bo! at ranom an a ball at ranom from the +hosen bo!* the 0robabilit of ettin a

re ball is ma!imi@e. This ma!imum 0robabilit is

a)1/2

b)1/1%

+)3/3

)3/

Ans 1/1%Solution ((1/2)91)#((1/2)9(%/1%))"1/1%

1. On the 0lanet O@* there are as in a &ee' Suna to Satura an another a +alle O@ a. There are 36 hours in a a

an ea+h hour has % min &hile ea+h minute has 6 se+. As on earth* the hour han +o-ers the ial t&i+e e-er a. ;in the

a00ro!imate anle bet&een the hans of a +lo+' on O@ &hen the time is % am.

a. 251

b.111

+.2%

.%

Ans. +

;or 12 am Ans.. @ %

;ormule 2<(3/%)M

1. The 0a+elenth : is the istan+e bet&een the rear of t&o +onse+uti-e foot0rints. ;or men* the formula* n/: " 1 i-es an

a00ro!imate relationshi0 bet&een n an : &here* n " number of ste0s 0er minute an : " 0a+elenth in meters. ernar 'no&s

his 0a+elenth is 16+m. The formula a00lies to ernarFs &al'in. =al+ulate ernarFs &al'in s0ee in 'm0h.23.62

11.3%

.

236.16

Ans.a

(191691696)/(1D)

1%. <o& man iit numbers +an be forme usin the iits 1* 2*3* *5 ( but &ith re0etition) that are i-isible b ?

Ans.. 5D3



2. There are 6 beer bottle n one is 0oisone. &e ha-e mi+e &ho &ill ie &ithin 1 hrs after rin'in 0oisne beer. In 2 hrs &e

ha-e to fin 0oisone beer bottle. <o& man no of mi+e &e re4uire to fin out 0oisone bottle.

o0tions

a) 6

b)

+) 3

) 1

Ans&er 3

6 is near to 2D3

21. 'e&or Alo' hanu* sta+' of 2 +oins. i mo-e +an 0la. at @ 1th mo-e meAns. to 0ut to0 +oin 1 0ostion belo&. ol +oin.

initial ol +oin is at 3r 0osition from to0. if it@ 0laer turns n 0laer brins ol +oin to the to0 then 0laer @ &inner. alo' starts.

&hi+h of the follo&in is true.

a) alo' must 0la 1th mo-e to &in.

b) alo' must 0la th mo-e to &in

+) alo' has no &inin strate

Ans. a

22. A hollo& +ube of si@e 5 +m is ta'en* &ith a thi+'ness of 1 +m. It is mae of smaller +ubes of si@e 1 +m. If fa+es of the outer

surfa+e of the +ube are 0ainte* totall ho& man fa+es of the smaller +ubes remain un0ainte?

5

%

Ans.sie of +ube " 5 +m

its thi+hness " 1 +m

so -olume of outer +ube " 59595

-olume of inner +ube " 39393

-olume of the hollo& +ube " 59595 39393 " %

so total no of small +ubes of the si@e 1 +m " %/19191 " %

&e 'no& a +ube has 6 fa+es so total no of fa+e " %96 " 5

one surfa+e of outer +ube +ontains a total of 25 surfa+e of smaller +ube * so &hen surfa+e of outer +ube is 0ainte total no of

surfa+e of small +ubes i.e su00ose to be 0ainte is 925 " 1

so the total no of surfa+es of small +ube that &ill be remaine un0ainte is 51 "

no of fa+es remain un0ainte 5( 259 no fa+es 0ainte)

23. A la has fine lo-es an hats in her +loset 1 blue* 32 re* an 25 ello&. The lihts are out an it is totall ar'. In s0ite of

the ar'ness* she +an ma'e out the ifferen+e bet&een a hat an a lo-e. She ta'es out an item out of the +loset onl if she is sure

that if it is a lo-e. <o& man lo-es must she ta'e out to ma'e sure she has a 0air of ea+h +olor?

a)5 b) +)6 )2Ans.6

There +an be lots of loi+ for this* but a00roa+h the sim0lest one so that &e a00roa+h to one of the solutions. Su00ose the la first

0i+'s 32 Be lo-es* an then 2 Cello& lo-es. The ne!t 0air she 0i+s &ill be one Cello& an One lue &hi+h oes not ma'e a 0air.

The ne!t t&o &ill be blue lo-es. So she ma'e a total of 32#2#1#1#2 " 6 0i+'s.

2. The IT iant Tirno0 has re+entl +rosse a hea +ount of 15 an earnins of P billion. As one of the forerunners in the

te+hnolo front* Tirno0 +ontinues to lea the &a in 0rou+ts an ser-i+es in Inia. At Tirno0* all 0rorammers are e4ual in e-er

res0e+t. The re+ei-e ienti+al salaries Ans. also &rite +oe at the same rate.Su00ose 12 su+h 0rorammers ta'e 12 minutes to

&rite 12 lines of +oe in total. <o& lon &ill it ta'e 2 0rorammers to &rite 2 lines of +oe in total?

Ans. 12 min

0rrmr9min/ lo+" 0rmr 9min/ lo+

This 4uestion &as also re0eate thri+e.

a) no of :rorammer

b) no lines of +oes

+) ho& mu+h time the &ill ta'e.

25.There are 6 +ir+les on a iaonal of s4uare su+h that their +entre lie on iaonal. =onsier that raius of ea+h +ir+le is e4ual.

;in the ratio bet&een sie of s4uare an raius of +ir+le.

1r# 2s4rt(2)r" s4rt(2)a

fin a/r.

26. On a sheet of 0a0er* there are statements. a+h n statement states that KAtleast n number of statements on this sheet is

falseK. Then &hi+h of the follo&in is true.

Ans&er first 2 statements are true an last 2 are false.

This 4uestion &as also re0eate thri+e.



a) Atleast &i false Ans. first 2 r true an last 2 r false..

b) !a+tl &i true Ans. 3%th @ true n rest r false

+) Atmost &i true or false Ans. all statements r true

2. On 0lanet 'orba* a solar blast has melte the i+e +a0s on its e4uator. % ears after the i+e melts* tin 0lanetois +alle e+hina

start ro&in on the ro+'s. +hina ro&s in the form of +ir+le* an the relationshi0 bet&een the iameter of this +ir+le an the ae

of e+hina is i-en b the formula " 9QR (t%) for t % &here re0resents the iameter in mm an t the number of ears

sin+e the solar blast.Uaan re+ore the raius of some e+hina at a 0arti+ular s0ot as mm. <o& man ears ba+' i the solar

blast o++ur?a) 1

b) 21.25

+) 12.25

) 1.5

Solution raius "mm* then iameter 29raius* substitue iameter the in abo-e e4uation ou &ill et ans&er

2. Uohn bus a ++le for 31 ollars an i-en a +he4ue of amount 35 ollars. Sho0 Vee0er e!+hane the +he4ue &ith his neihbor

an a-e +hane to Uohn. After 2 as* it is 'no&n that +he4ue is boun+e. Sho0 'ee0er 0ai the amount to his neihbor. The +ost

0ri+e of ++le is 1% ollars. ,hat is the 0rofit/loss for sho0 'ee0er?

a) loss 23

b) ain 23

+) ain 5

) 7oss 5

Solution23 loss as he has to 0a 35 ollar to neihbor he has onl 31 remainin so 3531" an ++le +osts 1% ollar so total

loss"1%#"23 ollar

INTBWI,S

It ma be on the same a of the Test or ne!t a* so be :re0are in A-an+e.

The Inter-ie& &ill be one b a :anel of 3 to members. No nee to &orr. The &ill be Wer su00ortin ;rienl.. ;irst the as'

us to Introu+e oursel-es... then theFll o into our 0roXe+t etails... onFt foret to 0re0are 0roXe+t.... The mainl +on+entrate on

our 0roXe+t onl...so be +onfient on e-er as0e+t of our 0roXe+t... then ou shoul ha-e some basi+ 'no&lee on = lanuae.

There &ill be some 4uestions li'e K&hat is the o/0 of this +oe?K* K&hat are the errors in the +oe?K..li'e that... so be 0re0are for

all the basi+ +on+e0ts.. If neee ou ha-e to &rite some small +oes too.. at the en the &ill as' some eneral 4uestios li'e

K,here o ou see ourself in the ne!t fi-e ears?K* Ko ou mirate?K*Ko ou ha-e an 4uestions?K* tr as' some 4uestions... it

sho&s our interest in the =om0an..

<B

Then +omes our ;inal Atta+'.. the <B Boun . It in-ol-es no te+hni+al 4uestions... it Xust &ell into our innerself... so* be

+onfient an fran' &hile fa+in this roun...The enerall as' 4uestions li'e KTell about ourself?K* K,ho r our role moels?K*K,h T=S?K* K,hat ou o in leasure time?K*K,hat is our &ee'ness?K onFt sa KI <a-e no &ea'nessYK* Xust 0re0are a small

&ea'ness for ourself that +auses no harm to our future...O.V.. K,hat is our mother tonue?K.

All the best usY

TCS Test Paper With Answer - Kurnool, September 13, 2012.

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