### INFOSYS Puzzles

INFOSYS TECHNOLOGIES LIMITED.

PAPER 1:

Part 1.

(1) 9 cards are there. u have to arrange them in a 3*3 matrix.

cards are of 4 colors. they are red, yellow, blue, green.

conditions for arrangement: one red card must be in first row

or second row.2 green cards should be in 3rd column. Yellow

cards must be in the 3 corners only. Two blue cards must be in

the 2nd row. Atleast one green card in each row.

Solution:

Yello Red Gren

Blu Blu Gren

Yello Gren Yello

2. 4 cards are placed on a table, each card has two colors. U

don't know the color of the back side of eachcard.4 persons A

B C and D are sitting on the table before the cards. They can

see Red, Green Red and blue .Out of the 4 poeple 2 always lie.

They see the color on the reverse side and give the following

comment

A: Yello/green

B: Neither Blue/nor Green

c: Blue/Yello

D: Blue/ Yello

find out the color on the other side of the 4 cards.

3.Red and brown tribes [FROM BARRONS GRE] Conditions to

get married with each other.

4. Venn diagram regarding Rich, muscular, soft-skinned,

employed, etc.,( Refer BARRONS GRE GUIDE)

PART 2.

1. SAKUNTALA DEVI'S PUZZLE BOOK : PUZZLES TO PUZZLE YOU.

problem no: 3. ( Brothers and Sisters)

A family I know has several children. Each boy in this

family has as many sisters as brothers but each girl has

twice as many brothers as sisters. How many brothers

and sisters are there?

ans: 4 boys and 3 girls.

2. No. of animals is 11 more than the no. of birds. If the

no. of birds were the no. of animals and no. of animals

were the no. of birds( ie., interchanging no.s of animals

and birds.), the total no. of legs get reduced by one fifth

(1/5). How many no. of birds and animals were there?

ans: birds:11,animals:22

3. In a soap company a soap is manufactured with 11 parts.

For making one soap you will get 1 part as scrap. At the

end of the day u have 251 such scraps. From that how many

soaps can be manufactured? ans: 22 + 2+ 1 = 25.

4. 2 * * |

3 * * | No. 7 does not occur in this

---------------- |

5 * * | multiplication.

* 4 * |

* * 3 | Find the product.

---------------- |

* * * * * |

---------------- |

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

ans 2 8 1

3 2 2

-----

5 6 2

5 6 2 0

8 4 3 0 0

---------

9 0 4 8 2

---------

5. There is a 5digit no. 3 pairs of sum is eleven each.

Last digit is 3 times the first one.

3 rd digit is 3 less than the second.

4 th digit is 4 more than the second one.

Find the digit. ans : 25296.

6. There are five thieves, each loot a bakery one after the

other such that the first one takes 1/2 of the total no.

and 5fth also did the same. After the fifth one no. of

ans : 31.

7.ESCALATOR PROBLEM OF SAKUNTALA DEVI 'PUZZLES TO PUZZLE'book.

Problem No: Problem 27( Down the escalator)

ans : the no of steps in the stair way : 46.

8.Harbour line and Main line Problem of Sakuntala Devi Puzzle

book. Ans : 4/5.

( More Puzzles book)

9.There are some chicken in a poultry. They are fed with corn

One sack of corn will come for 9 days.The farmer decides to

sell some chicken and wanted to hold 12 chicken with him.

He cuts the feed by 10% and sack of corn comes for 30 days.

So initially how many chicken are there?

10.Two people X & Y walk on the wall of a godown in opposite

direction. They meet at a point on one side and then go

ahead. X after walking for some time, walks in opposite

direction for 15 mtrs.Then again he turns back and walks

in the original direction. What distance did Y walk before

they met again, if X walks 11 mtrs by the time Y walks

8 mtrs.

11.Problem from SAKUNTALA DEVI 'PUZZLES TO PUZZLE U'.

Problem no: 23( Walking back to happiness.)

The walking time : 55 mins.
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PAPER 3:

INFOSYS - 99 AT JU, CALCUTTA.

(1). ALL TALLMEN ARE ANDSOME,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 3 KMPH 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

LUCY: IF I WILL GET C THEN JACK WILL GET D .

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 WILL GET WHICH GRADES.

(8). EACH MAN DANCES WITH 3 WOMEN. EACH WOMEN DANCES WITH

3 MEN. 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.

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PAPER 4:

THIS IS INFOSYS 99 FROM IIT BHU

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

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
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PAPER 5:

1. There are 4 married couples out ofwhich 3 a group

is needed . But her 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. Two 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 directionin 18 sec .Afterthe train haspassed, when thetwo

persons will meet? Approx 72min check it once.

no .of boys .The no.of boys no. of girls .The no.of girls no.of

family 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

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

10 Some questions follows.

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

2.Media for youth
=============================================================================================

PAPER 6:

MARKS: 50

I. Rohith can catch either the harbour line train or main line
train from his nearest railway station kandala to reach his office.
Both the trains have a frequency of 10 min. In the morning office Hours.
The harbour line trains arrive evary 10min. Starting from 5:00a.m
and the main line trains arrive at every 10min. Starting from 5:02a.m

ii. In a certain department store the position of

Buyer,cashier,clerk, floorwalkar, & manager are held, though not necessarily
Respectively ,by m\$ the cashier & the manager were roommates in college.
the buyer is bachelor, evans & miss ames have only business contacts
with each other mrs conroy was greatly dosappointed when her
husband told her That the manager had refuge to give him a
raise. davis is going to be the best man when the clerk
& the cashier Are married .

what position does each person held.?

iii. tanveer and kunal went down a descending escalator .
The escalator Was going down at a contant speed . Kunal
walked down the steps and Had to cover 50 steps to reach
the bottom.tanveer on the other hand , ran Down the steps
of the escalator and hence had to take 75 steps to reach
The bottom . Actually , tanveer took 3 steps in the same
time it took Kunal to take 1 step . How many steps would
be visible when the ecalator Is stopped and not operating.?

iv. In a four team foot-ball tournament , all the teams played each

Other in three rounds of matches are shown in the table -a . Some of

The results of the tournament are shown in the table _b . Using the

Clues given below, please fill -in the blank columns in the result

Table-b (goals for & goals for against ? ).

note : two points for win , one point for draw & zero points for

Defeat are awarded .

clues :

East zone won the tournament despite scoring one less goal than The runners -up.
2. North zone scored an odd number of goals in their first round Game
3. South zone , who failed to score in their final match , were

Beaten by a two -goal margin in the first round.

4. East zone lost their match aginst west zone.

5. All four teams scored goals in the second round matches

6. West zone scored the same number of goals against east
zone as North zone scored aginst them.

7. East zone scored four goals in round two match.

table - a ( matches played )

round 1 north zone vs south zone

west zone vs east zone.

round 2 south zone vs west zone

east zone vs north zone

round 3 south zone vs east zone

west zone vs north zone

table - b ( results

played won draw lost golas for goals

Points

against

\$

east zone 3 - - - ? 3

4

north zone 3 - - - ? ?

4

west zone 3 - - - 4 3

3

south zone 3 - - - 2 5

1

v. at six o'clock the wall clock struck 6 times . Checking with my

Watch , i noticed that the time between the first & last strokes was 30

Seconds. How long will the clock take to stike 12 at mid night (ans 66

Seconds)

vi. Plese answer the q's with reference to the facts given below ( 8

Marks )

1 . The members of a certain tribe are divided into three castes

-abhor , dravid , & magar castes

2. An abhor women cannot marry a dravid man

3. A magar man cannot marry a dravid women.

4. A son takes the caste of his father , a daughter takes the

Caste of

her mother .

5. All marriages except those mentiond above are permitted

6 . There are no children born out of wed lock.

q's

1) an abhor woman marries and has three children , all of whom are Member\$

i) if she were to be married to a magar man , they have

No male\$

ii) if she were to be married to abhor man ,they may have

Male chi\$

iii) if her fourth child is male , he may be a dravid,.

a) i only

b) iii only

c) i & ii only

d) ii & iii only

e) i , ii & iii

2) it can be inferred from the condition described that a magar man

i) cannot have a dravid grand mother

ii) cannot have a dravid mother

iii ) may have a abhor mother

a) i only

b) ii only

c) i & ii only

d) ii & iii only

e) i , ii & iii

3) when two dravids are married , it is impossible for them to have

i) any female abhor descendents

ii ) an abhor great_ grand daughter \

iii) an abhor grand daughter

a)i only

b) iii only

c) i & ii only

d) ii & iii only

e) i , ii & iii

4) an abhor woman

a)can have a dravid grandson

b) cannot have a magar son

c) cannot have a magar grand son

d) can have a magar daughter -in - law

e) cannot have a dravid grand daughter

vii. ( 2 marks )

in certain community there are thousand married couples .

Two

thirds of the husbands who are taller than their wives are also

Heavier

and three quarters of the husbands who are heavier than their
wives Are also taller . If there are 120 wives who are taller
and heavier

Than their husbands, how many husbands are taller and heavier than their wives ?

viii. Both the gupthas and sinhas have two young sons whose ages
are Under eleven. The names of the boys, whose ages roundedoff to

The nearest year are all different, are rajesh, praveen,lalith and

Prathap. taking the ages of the ages of the boys only to the nearest

Year, the following statements are true.

rajesh is three years younger than his brother is.

praveen is the oldest.

prathap is 5yrs older than the younger sinhas boy.

lalith is half as old as one of the guptha boys.

the total ages of the boys in each family differ by the

Same

amount today as they did five years ago. --- 7 marks.

ix. A long division sum ---- 7 marks

xx)xxxxxxxxx(xxxxxxx

xx

---

xxx

xx

----

xxx

xx

---

xx

xx

--

xxx

xxx

-----

in the complete solution there are four 5's.

find the missing digits.

x. Following services are operated by asian airlines between the two

are located in different countries with different time zones.

As is is normally done, the time shown is the local time- viz ist

& tst. regular flight supersonicflig

arrive alexandria 17:10 tst 15:40 tst

depart " " 20:50 tst 22:50 tst

arrive rampur 23:40 ist ? Ist

the arrival time of supersonic flight into rampur from

Alexandr\$ arrival time of the super sonic flight assuming each

Service- regular and supersonic maintains its own constant speed

Of flig\$

don't answer for all the puzzules. 8 are the safe one.

PAPER 7:

1)A,B,C,D,E related.4 of them made these statements each.

i)C is my son in law's brother.

ii)B is my father's brother.

iii)E is my mother in law.

iv)A is my brother's wife.

who made these statements?(person mentioned is one of A,B,C,D,E)(10 mar ks).

2)e means belong.

All members of E e D.

All members of D e A.

Not all members of D e E.

Not all members of A e D.

All members of C e both A and B.some questions are asked about
relatio n.use venn diagram.(5 marks).

3)complete the table.

Played won lost draw goals goals

for against

A 2 2 1

B 2 1 2 4

C 2 3 7

A,B,C are 3 hockey teams.(2 marks).

4) A says Party was held on :Thursday ,May 8th.

B says Party was held on :Tuesday,May 10th.

C says party was held on :Friday ,June 8th.

Given April 1 st was Tuesday.one of A,B,C says 1 correct.one says 1

wrong.and one was completely wrong of date,Month and day.
Find the Day the party held. (5marks).

5) A ship is away from the shore by 180 miles.A plane is travelling at

10 times speed of the ship.How long from the shore will they meet?

(2marks)

6) Every station in N railroad issue everyother station's ticket.

some stations are added.Now they have to issue 46 more tickets.

say the No.of stations after and before added.(5 marks).

7) 3 persons say these statements.

A says either Democratic or liberal wins the elections.

B says Democratic wins.C says neither democratic nor liberal wins

the election.of these only one is wrong.who wins the election?

(5 marks).

8) A clock showing 6 o'clock takes 30 secs to strike 6 times.How long

will it take to strike 12 at midnight?Ans.66 secs.(2marks)

9) Only boys aged > 16 wear coats.

Boys aged > 15 go to watch football.some more statements are given.

What can be said about those who are watching football ? (age and

costume)

(5 marks).

10) There are 3 societies A,B,C having some tractors each.

A Gives B and C as many tractors as they already have.

After some days B gives A and C as many tractors as they have.

After some days C gives A and B as many tractors as they have.

Finally each has 24 tractors.what is the original No.of

tractors each had in the beginning?

Ans.A -39.

B- 21.

C- 12.(7 marks).

11) 4,5 statements.From that find the answer.(7 marks).

PAPER 8:

1a) BE * BE = ACB

A,B,C,E ARE NON ZERO NUMBERS FIND B,E.

ANS) B=1 E=9

2) A,B,C,D,E ARE HAVING NUMERICAL VALUES. THERE ARE SOME CONDITIONS GIVEN a) A=C <===> B!=E

b) DIFFERENCE BETWEEN A AND C AS SAME AS DIFFERENCE BETWEEN C
AND B AS SAME AS DIFFERENCE BETWEEN A AND D

c) CD

THEN FIND A,B,C,D,E

3) THERE ARE SIX CARDS IN WHICH IT HAS TWO KING CARDS. ALL CARDS ARE
TURNED DOWN AND TWO CARDS ARE OPENED

a) WHAT IS THE POSSOBILITY TO GET AT LEAST ONE KING.

b) WHAT IS THE POSSIBILITY TO GET TWO KINGS.

4) A PERSON WENT TO A SHOP AND ASKED FOR CHANGE FOR 1.15PAISE.
BUT HE SAID THAT HE COULD NOT ONLY GIVE CHANGE FOR ONE RUPEE.
BUT ALSO FOR 50P,25P,10P AND 5P. WHAT WERE THE COINS HE HAD?
ans) 1-->50 4--->10P 1--->25P

5) THERE ARE 3 NURSES AND THEY WORK ALTOGETHER ONLY ONCE IN A
WEEK.NO NURSE IS CALLED TO WORK FOR 3 CONSECUTIVE DAYS.
NURSE 1 IS OFF ON TUESEDAY,THURSDAY AND SUNDAY.

NURSE 2 IS OFF ON SATURDAY.

NURSE 3 IS OFF ON THURSDAY,SUNDAY.

NO TWO NURSES ARE OFF MORE THAN ONCE A WEEK.

FIND THE DAY ON WHICH ALL THE 3 NURSES WERE ON WORK.

6) THERE ARE 5 PERSONS A,B,C,D,E AND EACH IS WEARING A BLOCK
OR WHITE CAP ON HIS HEAD. A PERSON CAN SEE THE CAPS OF
THE REMAINING 4 BUT CAN'T SEE HIS OWN CAP. A PERSON WEARING
WHITE SAYS TRUE AND WHO WEARS BLOCK SAYS FALSE.

i) A SAYS I SEE 3 WHITES AND 1 BLOCK

ii) B SAYS I SEE 4 BLOCKS

iii) E SAYS I SEE 4 WHITES

iiii) C SAYS I SEE 3 BLOCKS AND 1 WHITE.

NOW FIND THE CAPS WEARED BY A,B,C,D AND E

7) THERE ARE TWO WOMEN, KAVITHA AND SHAMILI AND TWO MALES SHYAM,
ARAVIND WHO ARE MUSICIANS. OUT OF THESE FOUR ONE IS A PIANIST,
ONE FLUTIST, VIOLINIST AND DRUMMER.

i) ACROSS ARAVIND BEATS PIANIST

ii) ACROSS SHYAM IS NOT A FLUTIST

iii) KAVITHA'S LEFT IS A PIANIST

iiii) SHAMILI'S LEFT IS NOT A DRUMMER

FLUTIST AND DRUMMER ARE MARRIED.

8) 1/3 ED OF THE CONTENTS OF A CONTAINER EVAPORATED ON THE
1 ST DAY.3/4 TH OF THE REMAINING CONTENTS OF THE CONTAINER
EVAPORATED THE SECOND DAY. WHAT PART OF THE CONTENTS OF
THE CONTAINER ARE LEFT AT THE END OF THE SECOND DAY.

9) A MAN COVERED 28 STEPS IN 30 SECONDS BUT HE DECIDED
TO MOVE FAST AND COVERED 34 STEPS IN 18 SECONDS.
HOW MANY STEPS ARE THERE ON THE ESCALATOR WHEN STATIONARY.

10) ALL FAIR SKINNED, RICH, HANDSOME, MUSCULAR, LEAN AND EMPLOYED ARE TALL MEN

1) ALL LEAN MEN ARE MUSCULAR.

2) NO FAIRSKINNED PERSON WHO IS NOT RICH IS HANDSOME.

3) SOME MUSCULAR MEN ARE HANDSOME.

4) ALL HANDSOME ARE FAIRSKINNED.

5) NO PERSON WHO IS NEITHER FAIR SKINNED NOR MUSCULAR IS ENPLYED.

6) we unable to recall this condition and question also incomplete.

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PAPER 9:

This paper contains INFOSYS interview questions.

1> S: Satch J:Jute ANS

person1: Most of us are satch J

person2:Most of us are jute S

person3:Two of us are satch J

person4: Three of us are jute J

person5:I am satch J

we have to find who is satch and who is jute.

2> Four persons are three to cross a bridge they have one torch light

one person A can cross in 1 min

person B can cross in 2 min

person C can cross in 5 min

person D can cross in 10 min

They have to cross bridge with in 17 min.

At a time only two persons can cross

I A&B ----> 2

II A <----1

III C&D ---->10

IV B <----2

V A&B ---->2

__________

Total 17

3>7 hours hour glass

11 hours hour glass

you have to boil one egg for 15 hours

4> What is the maximum number of slices can you obtain by cutting

a cake with only 4 cuts?

ANS: 16

5> Three are three boxes ,

In one box Two white balls

In two box 2 black balls

In three box 1 white &1 black

The lables on the boxes are not correct.Then you have to open

one box and to find the colour of the balls in all boxes.

Solution: Open the box labled black& white

If white balls are there then the box labled with white balls

contain black balls and labled with black balls contain one

black and one white ball and viceversa if two black ballsare there.

PAPER 10:

1)A begger collects cigarette stubs and makes
one ful cigarette with every 7 stubs. Once he gets 49 stubs .
How many cigarettes can he smoke totally.?

Ans. 8

2). A soldiar looses his way in a thick jungle at random walks
from his camp but mathematically in an interestingg 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 hoe far he is from his camp
and in which direction. ans: 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))

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

Ans 2 power 9 x 5 ppower 9 ( check the answer )

4). Conversation between two mathematcians:

first : I have three childern. Thew pproduct of their ages
is 36. If you sum their ages . it is exactly same as
my neighbour's door number on my left. The sacond
mathematiciaan verfies the door number and says that
the not sufficient. Then the first says " o.k one more
clue is that my youngest is the youngest" Immmediately

the questoion asked by the first mathematician?

What are the childeren ages? ans 2 and 3 and 6

5). Light glows for every 13 seconds . How many times did it 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.
ALL tallest among each row aare asked to fall out.
And the shortest among THEM is A. Similarly after
resuming that to their originaal podsitions that the
shorteest among each column are asked to fall out.

And the longest among them is B . Now who is

taller among A and B ? ans A

7). A person spending out 1/3 for cloths , 1/5 of the remsaining
for food and 1/4 of the remaining for travelles is
left with Rs 100/- . How he had 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
conttaining 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 thickand in a uniform rate.
It takes 24 days for 70 cows and 60 for 30 cows .
How many cows can eat away the same in 96 days.?

Ans : 18 or 19

11). There is a certain four digit number whose fourth digit
is twise the first digit.Third digit is three more than
second digit.Sum of the first and fourth digits twise the
third number.What was that number ?

Ans : 2034 and 4368

1. From a vessel on the first day, 1/3rd of the liquid
evaporates. On the second day 3/4th of the remaining
liquid evaporates. what fraction of the volume is
present at the end of the II day.

2. an orange galss has orange juice. and white glass has apple juice.
Bothe equal volume 50ml of the orange juice is taken and
poured into the apple juice. 50ml from the white glass is
poured into the orange glass. Of the two quantities, the
amount of apple juice in the orange glass and the amount of
orange juice in the white glass, which one is greater and by how much?

3. there is a 4 inch cube painted on all sides. this is cut
into no of 1 inch cubes. what is the no of cubes which have
no pointed sides.

4. sam and mala have a conversation. sam says i am
vertainly not over 40. mala says i am 38 and you are
atleast 5 years older than me. Now sam says you are atleast 39.
all the sattements by the two are false. How hold are they realy.

5. ram singh goes to his office in the city, every day from his
suburbun house. his driver mangaram drops him at the railway
station in the morning and picks him up in the evening.
Every evening ram singh reaches the station at 5 o'clock.
mangaram also reaches at the same time. one day ramsingh
started early from his office and came to the station at 4 o'clock.
not wanting to wait for the car he starts walking home.
Mangaram starts at normal time, picks him up on the way
and takes him back

house, half an hour early. how much time did ram singh walk.

6. in a railway station, there are tow trains going. One in the
harbour line and one in the main line, each having a
frequency of 10 minutes. the main line service starts
at 5 o'clock. the harbour line starts at 5.02a.m. a man
goes to the station every day to catch the first train.
what is the probability of man catchinhg the first train7.
some people went for vaction. unfortunately it rained for
13 days when they were there. but whenever it rained in
the morning, they had clean afternood and vice versa.
In all they enjoyed 11 morning and 12 afternoons. how many days
did they stay there totally

8. exalator problem repeat 9. a survey was taken among
100 people to firn their preference of watching t.v. programmes.
there are 3 channels. given no of

people who watch

at least channel 1

" " 2

" " 3

no channels at all

atleast channels 1and 3

" " 1 and 2

" " 2 and 3

find the no of people who watched all three.

10. albert and fernandes they have two leg swimming race.
both start from opposite and of the pool. On the first leg,
the boys pass each other at 18 mt from the deep end of the
pool. during the II leg they pass at 10 mt from the shallow
end of the pool. Both go at const speed. but one of them is faster.
each boy rests for 4 sec to see at the end of the i leg.
what is the length of the pool.11. T H I S Each alphabet stands for one

I S digit, what is the maximum value T

-------------- can take

X F X X

X X U X

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

X X N X X

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

1. an escalator is descending at constant speed. A walks down
and takes 50 steps to reach the bottom. B runs down and takes
90 steps in the same time as A takes 10 steps. how many steps
are visible when the escalator is not operating.

2. every day a cyclist meets a train at a particular crossing.
the road is straignt before the crossing and both are travelling
in the same direction. cyclist travels with a speed of 10 Kmph.
One day the cyclist comes late by 25 min. and meets the train
5km before the crossing. what is the seppd of the train.

3. five persons muckerjee, misra, iyer, patil and sharma, all
take then first or middle names in the full names. There are
4 persons having I or middle name of kumar, 3 persons with
mohan, 2 persons withdev and 1 anil.

--Either mukherjee and patil have a I or middle name of dev
or misra and iyer have their I or middle name of dev

--of mukherkjee and misre, either both of them have a first
or middle name of mohan or neither have a first or middle name
of mohan--either iyer of sharma has a I or middle name of kumar hut not both.who has the I or middle name of anil

5. a bird keeper has got pigeon, M mynas and S sparrows. the

keeper goes for lunch leaving his assistant to watch the birds.

a. suppose p=10, m=5, s=8 when the bird keeper comes back, the

assistant informs the x birds have escaped. the bird keeper

exclaims oh no! all my sparrows are gone. how many birds flew

away.

b. when the bird keeper come back, the assistand told him that

x birds have escaped. the keeper realised that atleast2 sparrows

have escaped. what is minimum no of birds that can escape.

6. select from the five alternatives A,B,C,D,E

AT THE end of each question ,two conditions will be given.

the choices are to filled at follows.

a. if a definete conclusion can be drawn from condition 1

b. if a definete conclusion can be drawn from condition 2

c. if a definete conclusion can be drawn from condition 1 and 2

d. if a definete conclusion can be drawn from condition 1 or 2

e. no conclusion can be drawn using both conditions

1. person 1 says N<5

person says n>5

person 3 says 3N>20

person 4 says 3n>10

person 5 says N<8

whaT IS value of N

a) 1. no of persons who speak false being less than no of persons

who tells the truth.

2. person 2 is telling the truth.

b) 1. no of persong telling the truth is greater than no of

persons telling lies

2. person 5 is telling the truth.

7. there are N coins on a table. there are two players A&B.

you can take 1 or 2 coins at a time. the person who takes the

last coin is the loser. a always starts first

--1. if N=7

a) A can always win by taking two coins in his first chanse

b) B can win only if A takes two coins in his first chance.

c) B can always win by proper play

d) none of the above

--2. A can win by proper play if N is equal to

a) 13 b) 37 c) 22 d) 34 e) 48 ans. e.

--3. B can win by proper play if N is equal to

a) 25 b)26 c) 32 d) 41 e) none

--4. if N<4, can A win by proper play always

8. Two turns have vertain pecular charcteristics. One of them

always lies on Monday, Wednesday, Friday. \the other always lies

on Tuesdays, thursdays and saturdays. On the other days they tel

the truth. You are given a conversation.

person A-- today is sunday my name is anil

person B-- today is tuesday, my name is bill

2. equal 1. 150

3. 8 2. 60 kmph

4. 37(M),41(S) 3. Mukherjee

5. 45 min. 8. today is tuesday

6. 0.8

7. 18

11. T max value = 4

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