infy papers

INFOSYS

=======

1.My neighbour has seven children.Every brother has equal no. of

brothers and siters ,but each sister has twice as many brothers

as sisters?

Ans: 4,3

2.There are 11 more animals than birds in a pet shop.If there are

as many birds as animals and if there are as many animals as birds

the no. of legs is 4/5 of the original.Howmany birds and animals

are there?

Ans: 22,11

3.one soap can be made out of the scraps obtained while preparing

11 soaps.How many soaps can be prepared out of the scrap obtained

out of 251 soaps.(Take all possibilities)

Ans: 25

4.Find out the five digit number whose first digit is three times

that of it's fifth digit,the fourth digit is four more than the

second digit,the third digit is three less than the second digit,

and there are 3 pairs of digits such that each sum is 11?

Ans: 65292

5. 2XX

3XX

---

5XX

X4X

XX3

-------

XXXXX

-------

Find out the X's and seven is not there in the calculation.



Ans: 281x332

6.There are 5 burglars and once went to a bakery to rob it obviously

The first guy ate 1/2 of the total bread and 1/2 of the bread.

The second guy ate 1/2 of the remaining and 1/2 of the bread.

The third guy ,fourth guy and fifth guy did the same.After fifth

guy there is no bread left out.How many bread are there?

Ans:31

7.The main line train starts at 5.00AM and the harbour line train

starts at 5.02AM.Each train has the frequency of 10 minutes.If a

guy goes in the morning at a random time what is the probability

of he getting main line train?

Ans: 0.8

8.There is 66x33m rectangular area .Ram is 11/8 times faster than

Krishna.Both of them started walking at opposite ends and they

met at some point then,Ram said "See you in the other end"Then

they continued walking.After some time Ram thought he will have tea

so he turned back walked back 15 meters then he changed his mind

again and continued walking .How much Krishna has travelled by

the time they meet?

9.A farmer has C chickens.A sack of feed comes for 9 days.As the

feed cost is increasing the farmer sells some chickens and retains

12 chicken.If he reduces the feed quantity by 10% .Then he observes

that the feed comes for 30 days.What is C?

Ans:36

10.Escalator Problem.

A person walking takes 26 steps to come down on a escalator and it

takes 30 seconds for him for walking.The same person while running

takes 18 second and 34 steps.How many steps are there in the escalator?

Ans:46



Analtical Paper:

1. There are nine cards arranged in three rows and three columns.

Each row contains atleast one green card.There are three yellow

corners.Red is either in the first row or second row.There are

2 greens in the 3rd column and 2 blues in the second row.What is

the arrange ment of the cards

Ans: Y R G

B B G

Y G Y

2. There are eight cards.Each card has colour on both sides.There

are 2 blue 2 red 2 green 2 yellow.





Here is theinfosys paper It may not contain full > questions and ans
> Understand it> >
> 1. There are 4 married couples out ofwhich 3 a group
> isneeded . Butther
> should not be his of her spouse .How nmany groups are > possible ?
> Ans 32>
> 2.In the 4 digits 1,2,3,4 how many 4 digited numbers are > possible
> which are divisable by 4? Repetetions are allowed> Ans 64>
> 3. Twow men are goingalong a trackf rail in the opposite > direction.
> One goods train crossed the first person in 20 sec. > After 10 min
> the train crossed the other person who is commingin
> opposite direction
> in 18 sec .Afterthe train haspassed, when thetwo > persons will meet?
> > Approx 72min check it once.>
> 4. Theno. of children > adults . Theno .of adults > the
> no .of boys .
> The no.of boys > no. of girls .The no.of girls > no.of
> familyi conditions
> 1.No family is without a child
> 2 Every girl has atleast one brotherand sister .>
> Ans c>a>b>g>f; 9 6 5 4 3 .>
> 6.There are4 boys Anand ,Anandya ,Madan and Murali with
> nicmnames perich ,zomie ,drummy and madeena not in thesame > order
> Some com=nditons> > Ans Anand : Perich
> Anandya: drummy> Madan : Zombie
> murali: Madeena
> 7.Thereare2diomans ,1 spadeand1 club and 1ace and also 1king ,1 > jack
> and 1 aceare arranged in a straight line >
> 1.The king is at third place
> 2.Theleft of jack is a heart and itsright is king
> 3. No two red colours arein consequtive.
> 4.The queensareseperated by two cards. Write the orderor which > suits
> (hearts ,clubs )and names(jacks queensetc.)
> 8. Writeeach statementis true or false 8M
> 1.The sum of the1st three statements and the2nd false statement
> givesthe true statement. > 2.The no.oftrue statements >falsestatement
> 3. The sum of2nd true statement and 1st falsestatement gives
> the first > true statement.> 4. Thereareatmost 3 falsestatements
> 5.There is no two consequtive true statements
> 6.If this containsonly 1-5 statements ,theanswer of this is
> sameasthe an answer of the following question >
> 9.Question on Venn diagram.> All handsome are also fair skinned
> Sme musularsare fair skinned > Some musculars are also handsome
> All lean are also muscular > Some lean are also fair skinned.
> All rich man inot fair skinned but all rich manare handsome >
> Some questions follows.> 10
> There are 3 pileseach containe 10 15 20 stones. There are > A,B,C,D,F,G
> and h persons .One man can catch upto four stones from any > pile.
> The last manwho takeswill win. If first A starts next B. and > so on
> who will win? > Ans May be F> > Essay writing
>
1 Intrnet revolution

--------------------------------->--------------------------------------------------------------------------------------
INFOSYS(1998-99)>
> LOGICAL THINKING TEST
> ---------------------
> Time : 1 hour
> Total Marks : 50>
> ALL QUESTIONS DO NOT CARRY EQUAL MARKS> > INSTRUCTIONS>
> * Please do not write/mark on the question paper.>
> * Read the questions carefully. Work your answers carefully > and as
> rapidly as possible.>
> * Do not spend too much time on questions that seem difficult
> for you. > If time permits go back to the ones you have left out.>
> * Answer sheets have been provided to you separately. Use the > first
> sheet to write your answers and use the remaining sheets for > the
> detailed working.>
> * On completion, please put your answer sheet along with the > working
> sheets, inside the question paper and hand them back to us.>
> * There is no negative marking. > >
> Do not turn the page until you are told to do so.> > > > >
> 1. 2 Marks>
> When Arthur is as old as his father Hailey is now, he shall be > 5 times
> as old as his son Clarke is now. By then, Clarke will be 8
> times older
> than Arthur is now. The combined ages of Hailey and Arthur are > 100
> years. How old is Clarke ?>
> 2. 3 Marks
> > I have one orange glass containing orange juice and another
> white glass
> containing apple juice. I take 50 ml of orange juice and mix it > with
> apple juice in the white glass. Then I take 50 ml of this > mixture and
> transfer it back to the orange glass.
> If you compare amount of apple juice in the orange glass and > amount of
> orange juice in the white glass which is more than the other > and by
> how much ?>
> 3. 3 Marks >
> The seven digits in this subtraction problem are > 0,1,2,3,4,5 and 6.
> Each letter represents the same digit whenever it occurs.> >
> D A D C B>
> E B E G> > --------------------
> > B F E G
> > --------------------
> > What digit is represented by each letter ?
> >
> 4. 4 Marks>
> The Jones have named their four boys after favourite
> relatives; their
> friends, the Smiths, have done the same thing with their three > boys.
> One of the families has twin boys. From the following clues, > can you
> determine the families of all seven children and their ages ?>
> i) Valantine is 4 years older than his twin brothers.
> ii) Winston, who is 8, and Benedict are not brothers. They are > each
> named after a grandfather.
> iii) Briscoe is two years younger than his brother Hamilton, > But three
> years older than Dewey.> iv) Decatur is 10 years old.
> v) Benedict is 3 years younger than Valentine; they are not > related.
> vi) The twins are named for uncles.> >
> 5. 4 Marks>
> Motorboat A leaves shore P as B leaves Q; they move
> across the lake at
> a constant speed. They meet first time 600 yards from P. Each > returns
> from the opposite shore without halting, and they meet 200 > yards from
> Q. How long is the lake ?> >
> 6. 4 Marks>
> Fanta, Pepsi and Citra often eat dinner out.>
> a) Each orders either coffee or tea after dinner.
> b) If Fanta orders coffee, then Pepsi orders the drink that
> Citra orders.
> c) If Pepsi orders coffee, then Fanta orders the drink that > Citra does
> not order.
> d) If Citra orders tea, then Fanta orders the drink that Pepsi > orders.
> > Which person/persons always orders the same drink after dinner > ? >
> > 7. 6 Marks>
> On the Island of imperfection there is a special road,
> Logic Lane, on
> which the houses are usually reserved for the more mathematical
> inhabitants. >
> Add, Divide and Even live in three different houses on this
> road (which
> has houses numbered from 1-50). One of them is a member of the
> Pukka Tribe,
> who always tell the truth; another is a member of the Wotta
> Tribe, who never
> tell the truth; and the third is a member of the Shalla Tribe,
> who make
> statements which are alternately true and false, or false and > true. >
> They make statements as follows :>
> ADD : 1 The number of my house is greater than that of > Divide's.
> 2 My number is divisible by 4.
> 3 Even's number differs by 13 from that of one of the
> others. > > DIVIDE : 1 Add's number is divisible by 12.
> 2 My number is 37.> 3 Even's number is even.>
> EVEN : 1 No one's number is divisible by 10.
> 2 My number is 30.
> 3 Add's number is divisible by 3.>
> Find to which tribe each of them belongs, and the number of > each of
> their houses.> >
> 8. 8 Marks >
> > The names of the inhabitants of Walkie Talkie Land sound
> strange to the
> visitors, and they find it difficult to pronounce them, due to > their
> length and a few vowel sounds they contain. The Walkie Talkie > guide is
> discussing the names of four inhabitants - A,B,C and D. Their > names
> each contain upto eight syllables, although none of the four > names
> contain the same number. Two of the names contain no vowel > sounds; one
> contains one vowel sound; and one contains two vowel sounds.>
> From the Guide's statements below, determine the number of > syllables
> and vowel sounds in each of the four Walkie Talkie names :>
> i) The one whose name contains two vowel sounds is not A.
> ii) C's name does not contain more than one vowel sound or > fewer than
> seven syllables.
> iii)The name with seven syllables does not contain exactly one > vowel
> sound.
> iv) B and C do not have names with the same number of vowel > sounds.
> v) Neither the name with five syllables nor the name with
> seven syllables > contains more than one vowel sound.
> vi) Neither the name with six syllables, nor the B's name, > contains
> two vowel sounds.> >
> 9. 8 Marks> >
> Multiplication and Division.> >
> (1) - - - - - (a) (2) _ _ . _ (d)
> ________________
> - - - (b) - - -) - - - - - . 0
> _________________ - - -
> _______________
> - - - - -
> - - - - - - - - -
> ___________________ - - -
> _______________
> - - - - - - - (c)
> - - -
> - - -
> ========>
> (1) and (2) represent the same two numbers - in one case > multiplied
> 9together, in other case divided.>
> Given that there are no 3's. find the missing digits indicated > as
> (a), (b), (c) and (d) above ?>
> 10. 8 Marks>
> Two identical twins have a very unusual characteristic. > One tells
> nothing but lies on Mondays, Wednesdays and Fridays, and tells > nothing
> but the truth all other days. The other tells nothing but lies > on
> Tuesdays, Thursdays and Saturdays, and tells nothing but the > truth
> all other days. On Sundays both children speak the truth.>
> 1) Which of the following statements can be deduced from the
> information presented ?>
> i) If it is Sunday, the twins will both say so.
> ii) If it is not Sunday,one twin will give the correct day > and
> the other will lie about everything.
> iii)On any given day, only one twin will give his correct > name. >
> a) i only> b) i and ii only
> c) i and iii only> d) ii and iii only
> e) i,ii and iii>
> 2) According to the information presented, which of the > following
> conversations will be impossible.>
> a) Twin A : "Today you are a lier"
> Twin B : "You are telling the truth">
> b) Twin A : "Today you are a lier"
> Twin B : "Today I am a truthteller">
> c) Twin A : "Tommorow I shall be a lier"
> Twin B : "That's correct">
> d) Twin A : "Tommorow you will be a lier"
> Twin B : "Today you are a truthteller">
> e) Twin A : "Yesterday we were both truthtellers"
> Twin B : "You are lying">
> 3) Assume that the twins followed a different set of
> rules, so that on
> a given day both told only the truth while next day
> both only lied,
> alternating days of truth telling and lying. Under these > rules,which
> of the following conversations would be possible ?>
> a) Twin A : "Today you are a lier"
> Twin B : "That is correct">
> b) Twin A : "Today you are a lier"
> Twin B : "That is not so">
> c) Twin A : "Tommorow we will be liers"
> Twin B : "Yesterday we were truthtellers">
> d) Twin A : "Tommorow we will be liers"
> Twin B : "You are 1 year older than I am">
> e) Twin A : "We always tell the truth"
> Twin B : "We some times tell the truth">
> 4) If the twins are heard saying the following on the same > day, which
> choice presents a correct statement ?>
> Twin A : "It is Sunday Today"
> Twin B : "Yesterday was Sunday"
> Twin A : "it is summer season now">
> a) it is a summer sunday> b) it is a summer monday
> c) it is Monday but not summer> d) it is Sunday but not summer
> e) it is impossible to determine whether it is Sunday or > Monday. >
>

>THIS IS INFOSYS 99 FROM IITBHU

q1) a frog jumps 3 ft comres bacfk 2ft in a day in how many day
it will come out of 30ft deep well (2 marks )ns ans 28 day
q2) A-B=C
D/E=F
G+H=I
C.F=I ANS A=9,B=5,C=4,F=2.
Q3)when the asctual time pass 1hr wall clock ic 10 min behind it
when 1 hr is shown by wall clock, table clock shows 10 min ahead
of ih when table clock shows 1 hr the alarm closck goes 5minbehind
it,when alarm clock goes 1 hr wrist watch is 5 min ahead of it assuming
that all clocks are correcrt with actual tinme at 12 noon what will
be time shown by wrist watch after 6 hr
ans---5:47:32.5
(n X 60 )50/60 X 70/60 X 55/60 X 65/60

q4)a soft. engr just returned from US has eaten too mucgh fat &put
a lot of weight everfy sunday he starts walking 4 km/hr on level
ground then up at 3 km\hr then back down hill at 6km\hr then again
on level grounggd at 4km\hr till he reaches his destination if he
returned home at 9 p.m. e what distance did he covered
ans 24km
it is aslo asked in some parer fingd half of the dist covered by hoim
in this case ans 12km
q5 ] one family promblem was there in wich varios relations are givern
ans is correcr 3 families

q6] one question was about cards 4 persons play yjthe game of cards
cards are of 4 colour yellow green blue,red fing colours of playing cards which are hiddeden
ans remember the sequence yellow,yellow,green,blue,probably frob gre
q7] one very easy question just solve two eq, about ages
i rembemer only ans boy=10yrsor girl =4 yrs or vice versa pl. check it
q8]ans the questions from facts 8marks
the member of certain tribe are divided into 3 casts abhor,dravid magar
1 an abhor woman cant marry dravid nman
2 a nmagar man cant marry a dravid man
3 a son takes the caste of his father a dauhgter takes cast of her mother
5 all marriages except those mentioned are not permirtted 6 there
are no childern born out of a wedlock
1]aliertnates cant rem u acan previos question
some ans are
q]an abhor woman a alternative istrue ---can have a dra, grandson
q]it can be refer from conditions described that a magar man
ans is 2 &3 only iii choice --cant have a dravid mother & may have abhou mother
q]an abhor marreies & has thr e childern allof are members aof
abhor acsateeich of ffoloewing is true
ans i & ii only --i is if c were married toa magar man
ii-- if c were married to abhor man,they have a male child


eassy topic
role of media ohun youth
& interner revolution
one more q] there are 2 scales of temp A & B it was given A 14 to 133
B 36 to 87
find the temp when temp oa a is eq. to temp of b
ans 52.5
let t=mx+c c=-70 m=51/119
a=a.51/119 -70 ; a=52.5
this all came in bhu
TCS paper was repeat of 98 some crirtical reasoning new ques 50 t0 70
some new quants question i rembember some bnew q
ans are 1]some rect question %of widthis inscresaded like that ans is 4%
2]some packet of 1 a and 2 ---- ans 114 etCn

> INFOSYS - 99 AT JU,CALCUTTA.
> (1). ALL TALLMEN ARE HANDSOME,FAIRSKIMED,LEAN,NULSCULAR RICH
> >AND EMPLOYED.> > 1. ALL HANDSOME PERSONS ARE FAIRSKIMED
> > 2. SOME NULSCULAR ARE FAIR SKIMED AND HANDSOME
> > 3. ALL LEANS ARE NUSCULAR PERSONS
> > 4. NO FAIRSKIMED PERSON WHO IS NOT HANDSOME IS RICH
> > 5. NEITHER FAIRSKIMED NOR NULSCULAR ARE EMPLOYED.
> > THERE ARE 4 QUESTIONS BASED ON THE ABOVE. 8 MARKS> >
> > (2). PROBLEM> >> >
> > (3). A SOFTWARE ENGINEER STARTS FROM HOME AT 3PM FOR EVENING >WALK.
> > HE WALKSPEED OF 4KMPH ON LEVEL GROUND AND THEN AT A SPEED >OF
> > 3KMPH ON THE UPHILL AND THEN DOWN THE HILL AT A SPEED OF
> >6KMPH
> > TO THE LEVEL GROUND AND THEN AT A SPEED OF 4KMPH TO THE >HOME
> >AT 9PM> > WHAT IS THE DISTENCE ON ONE WAY? 4MARKS> >
> > (4). A BAG CONTAINS CERTAIN NUMBER OF FILES. EACH FILE IS >NUMBERED
> >WITH ONE
> > DIGIT OF 0 TO 9. SUPPOSE THE PERSON WANT TO GET THE NUMBER
> >BETWEEN 1 TO
> > 2000 (OR 7000 CHECK ) . HOW MANY MIN NO. OF FILES SHOULD BE
> >PRESENT IN
> > THE BAG. 3MARKS> >
> > (5). A + B + C +D = D + E + F + G = G + H + I =17.
> > IF A = 4 WHAT ARE THE VALUES OF D AND G. EACH LETTER >TAKEN
> > ONLY ONE OF THE DIGIT FROM 1 TO 9. 8MARKS> >
> > ANS : A = 4 ,B = 2, C =6, D = 5, E = 3, F = 8, G = >1,
> > H = 7, I = 9.> >
> > (6). SIX PERSONS A,B,C,D,E &F WENT TO SOLIDER CINIMA. THERE ARE
> >SIX
> > CONSEUTIVE SEATS. A SITS IN THE FIRST SEAT FOLLOWED BY B ,
> > FOLLOWED BY C AND SOON. IF A TAKEN ONE OF THE SIX SEATS ,
> >THEN
> > B SHOULD SIT ADJACENT TO A. C SHOULD SIT ADJACENT A OR B. D
> > SHOULD SIT ADJACENT TO A, B,ORC AND SOON. HOW MANY
> > POSSIBILITIES ARE THERE?> >
> > (7). SUPPOSE THERE ARE 4 GRADES A, B, C, D. (A IS THE BEST AND D
> > IS THE WORST) 4 PERSONS JACK,JEAN,POUL,LUCY WROTE THEN >FINAL
> >EXAM> > AND MADE THE STATEMENTS LIKE THIS.
> > 1. JACK: IF I WILL GET A THEN LUCY WILL GET D
> > 2. LUCY: IF I WILL GET C THEN JACK WILL GET D . JACK GRADE
> > IN BETTER THEN POUL GRADE.
> > 3. JEAN: IF JEAN DOESNOT GET A , THEN LACK WILL NOT GET A.
> > 4. POUL: IF JACK GET A , THEN JEAN WILL NOT GET B.
> > LUCY WILL GET C, I WON'T EITHER A OR B.
> > IF ALL THE ABOVE STATEMENTS ARE TRUE, THEN WHICH PERSON
> > WILLGET WHICH GRADES.
> > (8). EACH MAN DANCES WITH 3 WOMEN. EACH WOMEN DANCES WITH 3 >MENS.
> > AMONG EACHG PAIR OF MEN THEY HAVE EXACTLY TWO WOMEN IN
> >COMMAN.> > FIND THE NO. OF MEN & WOMEN.> >> >> >
> > ESSAY.> >> > 1. INTERNET REVOLUTION
> > 2. ROLE OF MEDIA FOR YOUNG.
----------------------------------------------------------------------




Index of Question Papers






________________________________________
Infosys
Infy -1 Infy -2 Infy -3 Infy -4

Infy -5 Infy -6 Infy -7

1. Mr.Mathurs jewels have been stolen from his bank locker .
The bank has lockers of 12 people which are arranged in an array of 3 rows and 4 columns like:
1 2 3 4
5 6 7 8
9 10 11 12
• The locker belonging to JONES was to the right of BLACK'S locker and directly above MILLAR'S.
• BOOTH'S locker was directly above MILLAR'S.
• SMITH'S locker was also above GRAY's (though not directly).
• GREEN'S locker was directly below SMITH'S.
• WILSON'S locker was between that of DAVIS and BOOTH.
• MILLAR'S locker was on the bottom row directly to the right of HERD'S.
• WHITE'S locker was on the bottom right hand corner in the same column as BOOTH'S.
Which box belonged to Mr.Mathurs?
Ans: Box number 9 belongs to Mr.Mathurs.

2. Fifty minutes ago if it was four times as many minutes past three o'clock,how many minutes is it to six o'clock?
Ans: Twenty six minutes.

3. If a clock takes 7seconds to strike 7, how long will the same clock take to strike 10?
Ans: The clock strikes for the first time at the start and takes 7 seconds for 6 intervals-thus for one interval time
taken=7/6.
Therefore, for 10 seconds there are 9 intervals and time taken is 9*7/6=10 and 1/2 seconds.

4. Three criminals were arrested for shop lifting.
However, when interrogated only one told the truth in both his statements, while the other two each told one true
statement and one lie.
The statements were:
• ALBERT :(a)Chander passed the merchandise. (b)Bruce created the diversion.
• BRUCE :(a)Albert passed the merchandise. (b)I created the diversion.
• CLIVE :(a)I took the goods out of the shop. (b)Bruce passed them over.
Ans: Albert passed the goods.Bruce created the diversion..Clive took the goods out of the shop.

5. Everyday in his business a merchant had to weigh amounts from 1 kg to 121 kgs, to the nearest kg.
What are the minimum number of weight required and how heavy should they be?
Ans: .The minimum number is 5 and they should weigh 1,3,9,27 and 81 kgs.

6. A hotel has 10 storeys.Which floor is above the floor below the floor, below the floor above the floor, below the
floor above the fifth.
Ans: The sixth floor.

7. Seven members sat around a table for three days for a conference.
The member's names were Abhishek, Amol, Ankur, Anurag,Bhuwan ,Vasu and Vikram.
The meetings were chaired by Vikram.
On the first evening members sat around the table alphabetically.
On the following two nights, Vikram arranged the seatings so that he could have Abhishek as near to him as
possible and abesent minded Vasu as far away as he could.
On no evening did any person have sitting next to him a person who had previously been his neighbour.
How did Vikram manage to seat everybody to the best advantage on the second and third evenings?
Ans:
Second evening:Vikram,Ankur,Abhishek,Amol,Vasu,Anurag and Bhuwan.
Third evening :Vikram,Anurag,Abhishek,Vasu,Bhuwan,Ankur,Amol.

8. Two trains start from stations A and B spaced 50 kms apart at the same time and speed.
As the trains start, a bird flies from one train towards the other and on reaching the second train, it flies back to the
first train.This is repeated till the trains collide.
If the speed of the trains is 25 km/h and that of the bird is 100km/h.
How much did the bird travel till the collision.
Ans: 100 kms.

9. Four prisoners escape from a prison.
The prisoners, Mr East, Mr West, Mr South, Mr North head towards different directions after escaping.
The following information of their escape was supplied:
• The escape routes were The North Road, South Road, East Road and West Road.
• None of the prisoners took the road which was their namesake.
• Mr.East did not take the South Road
• Mr.West did not the South Road.
• The West Road was not taken by Mr.East
What road did each of the prisoners take to make their escape?
Ans: Mr.East took the North Road
Mr.West took the East Road
Mr.North took the South Road
Mr.South took the West Road.

10. Complete the series:
5, 20, 24, 6, 2, 8, ?
Ans: 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).





Index of Question Papers






________________________________________
Infosys
Infy -1 Infy -2 Infy -3 Infy -4

Infy -5 Infy -6 Infy -7

1) A man collects cigarette stubs and makes one full cigarette with every 8 stubs.
If he gets 64 stubs how many full cigarettes can he smoke.

Ans: 8+1=9


2) A soldier looses his way in a thick jungle. At random he walks from his camp but mathematically in an interesting fashion. First he walks one mile East then half mile to North. Then 1/4 mile to West, then 1/8 mile to South and so on making a loop.
Finally how far he is from his camp and in which direction.

Ans: Distance travelled in north and south directions
1/2 - 1/8 + 1/32 - 1/128 + 1/512 - and so on
= 1/2/((1-(-1/4))
Similarly in east and west directions
1- 1/4 + 1/16 - 1/64 + 1/256 - and so on
= 1/(( 1- ( - 1/4))
Add both the answers

3) How can 1000000000 be written as a product of two factors neither of them containing zeros

Ans: 2 power 9 x 5 power 9

4) Conversation between two mathematcians:
First : I have three childern. The product of their ages is 36.
If you sum their ages, it is exactly same as my neighbour's door number on my left.
The second mathematician verfies the door number and says that it is not sufficient.
Then the first says " Ok one more clue is that my youngest is really the youngest". Immmediately the second mathematician answers .
Can you answer the question asked by the first mathematician?
What are the childeren ages?

Ans 1,6 and 6

5) Light glows for every 13 seconds . How many times did it glow between 1:57:58 and 3:20:47 am.

Ans : 383 + 1 = 384

6) 500 men are arranged in an array of 10 rows and 50 columns according to their heights.
Tallest among each row of all are asked to fall out.
And the shortest among them is A.
Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out.
And the tallest among them is B .
Now who is taller among A and B ?

Ans A


7) A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel.
He is left with Rs 100/- .
How much did he have with him in the begining ?

Ans: Rs 250/-

8) There are six boxes containing 5 , 7 , 14 , 16 , 18 , 29 balls of either red or blue in colour.
Some boxes contain only red balls and others contain only blue.
One sales man sold one box out of them and then he says
" I have the same number of red balls left out as that of blue ".
Which box is the one he solds out ?

Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30
and also 14 + 16 = 5 + 7 + 18 = 30

9) A chain is broken into three pieces of equal lenths containing 3 links each.
It is taken to a backsmith to join into a single continuous one .
How many links are to to be opened to make it ?

Ans : 2.

10) Grass in lawn grows equally thick and in a uniform rate.
It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass.
How many cows are needed to eat the grass in 96 days.?

Ans : 20
g - grass at the beginning
r - rate at which grass grows, per day
y - rate at which one cow eats grass, per day
n - no of cows to eat the grass in 96 days
g + 24*r = 70 * 24 * y
g + 60*r = 30 * 60 * y
g + 96*r = n * 96 * y
Solving, n = 20.

Section B
1. Replace each letter by a digit.
Each letter must be represented by the same digit and no beginning letter of a word can be 0.

O N E
O N E
O N E
O N E
-------
T E N
Ans: 0 =1, N = 8 ,E = 2, T = 7

2. Ann, Boobie, Cathy and Dave are at their monthly business meeting.
Their occupations are author, biologist, chemist and doctor, but not necessarily in that order.
Dave just told the biologist that Cathy was on her way with doughnuts.
Ann is sitting across from the doctor and next to the chemist.
The doctor was thinking that Boobie was a goofy name for parent's to choose,but didn't say anything.
What is each person's occupation?
Ans: Since Dave spoke to the biologist and Ann sat next to the chemist and across the doctor, Cathy must be the author
and Ann the biologist.
The doctor didn't speak, but David did, so Bobbie is the doctor and Dave the chemist.

3. Sometime after 10:00 PM a murder took place.
A witness claimed that the clock must have stopped at the time of the shooting.
It was later found that the postion of both the hands were the same but their positions had interchanged.
Tell the time of the shooting (both actual and claimed).
Ans: Time of shooting = 11:54 PM
Claimed Time = 10:59 PM

4. Next number in the series is
1 , 2 , 4 , 13 , 31 , 112 , ?
Ans: 224.
No number has digits more than 4. All of them are 1 , 2, 4, 8 , 16 , 32 , 64 converted to numbers in base 5

5. Shahrukh speaks truth only in the morning and lies in the afternoon, whereas Salman speaks truth only in the afternoon. A says that B is Shahrukh. Is it morning or afternoon and who is A - Shahrukh or Salman.
Ans: Afternoon ; A is Salman.

6. Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their
destination 1 hr and 4 hours respectively after passing each other. How nuch faster is one train from other?
Ans: Twice

7. There are 6 volumes of books on a rack kept in order ( ie vol.1, vol. 2 and so on ).
Give the position after the following changes were noticed.
• All books have been changed
• Vol.5 was directly to the right of Vol.2
• Vol.4 has Vol.6 to its left and both weren't at Vol.3's place
• Vol.1 has Vol.3 on right and Vol.5 on left
• An even numbered volume is at Vol.5's place
Find the order in which the books are kept now.
Ans: 2 , 5 , 1 , 3 , 6 , 4

8. I bought a car with a peculiar 5 digit numbered licence plate which on reversing could still be read.
On reversing value is increased by 78633.Whats the original number if all digits were different?
Ans: Only 0 1 6 8 and 9 can be readupside down.So on rearranging these digits we get the answer as 10968

9. The shape in the sketch below is that of a square attached to half of a similar square.Divide it into four equal pieces

Ans: Hint : the figure can be divided into 12 equal triangles

10. Supposing a clock takes 7 seconds to strike 7. How mlong will it take to strike 10?
Ans: 10 1/2 seconds.