Iinfosys placement paper

Questions

1.      Lucia is a wonderful grandmother.Her age is between 50 and 70.Each of her sons have as many sons as they have brothers.Their combined number gives Lucia’s age.What is the age?

2.      There are two towers A and B.Their heights are 200ft and 150ft respectively and the foot of the towers are 250ft apart.Two birds on top of each tower fly down with the same speed and meet at the same instant on the ground to pick a grain.What is the distance between the foot of tower Aand the grain?

3.      Grass in lawn grows equally thick and in a uniform rate.It takes 40 days for 40 cows and 60 days for 30 cows to eat the whole of the grass.How many days does it take for 20 cows to do the same?

4.      Four tourists A,B,C,D and four languages English,German,French and Italian.They are not able to converse among themselves in one language.Though A does not know English he can act as an interpreter between B and C.No one spoke both French and German.A knows German and was able to converse with D who doesn’t know a word in German.Only one language was spoken by more than two persons.Each spoke two languages.Find who spoke what.

5.      There is a five digit number.It has two prime digits(1 is not a prime number).Third digit is the highest.Second digit is the lowest.First digit is one less than the third digit.The fifth digit is half of the fourth.The sum of 4th and 5th is less than the first.Find the number.

6.      Four persons A, B, C and D are playing cards.Each person has one card, laid down on the table below him,which has two different colours on either side.No card has the same color on both sides.The colours visible on the table are Red, Green, Red and Blue respectively.They see the color on the reverse side and give the following comment.

A: Yellow or Green

B: Neither Blue nor Green

C: Blue or Yellow

D: Blue or Yellow

Given that out of the 4 people 2 always lie find out the colours on the 

cards each person.

7.      A software engineer returns from America. As he is fat he decided to have evening walk.....he started at 3pm. he walks along the road at 4km/hr for some time then he climbs a upward slope area at 3km/hr then downwards at the rate of 6km/hr. then back to the home through the road at 4km/hr. what is the distance he covered in one way if he reaches back home at 9pm

8.      A 1 k.m. long wire is held by n poles. If one pole is removed,the length of the gap becomes 12/3m. What is the number of poles initially?

9.      Find the digits X,Y,Z

                         X  X  X  X

                         Y  Y  Y  Y  +

                         Z  Z  Z  Z

               --------------

              Y  X  X  X  Z

              ----------------

10.  In a race Andrew beats Jim.Jack is not the last.Dennis loses to both Jack and Lucia.Jim beats Jack.Who won the race?

Answers

1.      Let the no. of Lucia’s sons = n

               No. of brothers for each son = n-1

               No. of sons for each of Lucia’s son = n-1

               Lucia’s age  = n-1 * n-1

                                    = a perfect square between 50 and 70

                    = 64

2.        

                                        200

               150                                        Since the two birds travel with the same

   
   



     
     
     
250-x
     
  







   
   



     
     
     
x
     
  







   
   



     
     
     
B
     
                                                               speed and meet at the same instant the

                                                             distance traveled by them is equal.

                                                             By Pythagoras theorem,

200*200 + x*x = (250-x)*(250-x)+150 * 150

                                                                                            x = 90ft

3.       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 + 40*r = 40 * 40 * y------- 1

               g + 60*r = 30 * 60 * y------- 2

               g + n*r =  20 * n * y-------- 3

               from 1 and 2

                                              r=10y                     g=120r

               from 3

                                              nr=120r

               Solving, n = 120

4.      Think logically.

 Ans – 

A	B	C	D
German Italian	French Italian	German English	Italian English

5.      Ans – 71842

Hint – Start with the last condition.

6.      Try all possible combinations.Keep in mind two things.THE combination obtained should satify the conditions

         1.Two are lying and two are telling the truth

2.Neither two cards are similar nor are two sides of a card are              of same color

Ans                        

A	Yellow
B	Yellow
C	Green
D	Red

7.      Let the dist traveled on level ground = x and on the hill be y.

         x/4 + y/3 + y/6 + x/4 = 6

                         (x+y)/2 = 6km

8.       Let the no. of poles originally = n

After taking away one pole

                   (n-1)*12/3 = 1000

                       n = 251

9.      x+y+z = z ==> x+y = 10

max value for y = 1

hence x = 1

also, (carry)1+x+y+z = x ==> 1+y+z = 10

hence z=8

X	Y	Z
9	1	8

10.  The possible positions in the race are,

                         Andrew                  Andrew

                         Jim                         Jim

                         Jack                        Lucia       

                         Lucia                      Jack

                         Dennis                    Dennis

In either case Andrew is the winner.

Date of test  : 07/08/2005  (morning)
Venue       : St.Michael Academy, adaiyar, chennai.

!'st section
----------------

1) Lusie age is between 54-70.she  has sons and each sons has sons as many brothers they have.
the combined number of sons and grandsons  give lusie's age ? how old is she ?

2) A pigeon sitting on a  cathedral tower of height 200m. another pigeon sitting on another tower of height of 150 m. the distance between the two towers is 250. in ground. there are some grains, the birds fly at same speed, and at same instance and reaches the ground and start to eat grains. how far is the grain in the groundlevel from cathedral tower.   ( 6 marks )

3)on a field, 50 cows were put for fed, which can last grass in 30 days.If 30 cows were put, they can empty the field in 60 days.How many days 60 cows will take to last the grass ?

4) here is a five digit number.

the fifth one is half of fourth digit,
there must be two primes ( 1 not considered as prime)
the second digit is lowest digit
the third digit is highest.
1'st digit greater than sum of last two digit

5)4 players were playing a card game.Cards had different colours on bothi sides. Neither of cards hasd same colour on both sides.
Colours were  2 Red,2 Blue,2 Green, 2 yellow.Cards were lying  in front of each player.Now ,each playere knew the colour on other side of card.They are required to tell their colour.

Statement given by each of them are

Annie: Blue or green
Bobby: Neither Blue nor Green
Cindy:Blue or Yellow
Dainny:Blue or yellow
Colour of cards that are visible to all were Red,'Yellow,Green, Blue in order of names.Exactly two of them are telling truth and exactly two of them are telling are lieing ? can you tell the colour on other face of card for each  player ( 8 marks )

6) A software enginner starts his walking at 3 PM from point A, he walks at the rate of 4km/hr in plains and 3km/hr in hill to reach the point B.During his return journey, he walks at the rate of 6km/hr in hill and 4km/hr in plains  and reaches point A at 9.P.M. what is the distance  between A and B ?

7)

    XXX
    YYY
    ZZZ
------------
   YXXZ
------------

What is the value of X, Y,Z ?

8)A 1 k.m long wire is held by n poles. if  one pole is removed, the length of gap is increased by 5/3 meters.What is the number of poles initially.

9) andrew beat jim, Davis,elite lost to jim, jack was beaten by jim.
jim beats davis. elite is not last. 

(sorry i forgot exact order )

10) one 8 mark question

based on language they speak.
there are four persons.
each persons speaking only two language

conditions:
nobody  speak both german and france.
william donno english but he act as interprter b/w Jacob and jim
Jacob know german
and
some conditions ......
we have to answer what the two languages they speak ?

jacob  william  jim  andrew

2) english section

.Tbis section also has cutoff.

one who know grammar and english language, can easily make.

1)passage
and questions based on that

2) choosing wrong statement

3) choosing correct statement

4 )tense filling (like..  is sitting,was sitting, sit )

5) fill in the blanks with correct phrase.

answers:
-----------

1)64
condition given :lusie age should fall between 54-70
suppose if she has 8 sons .
each son has 7 brother
each sons has 7 sons  (condition given :as many brothers they have)

8 sons having 56 sons
adding 56 + 8 =64

2) 90

3) actually i got 120 for the given data.

i forgot the figures, but i give u the step how to calculate

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 90 days

formula: g+d*r=n*d*y ( i got this frm old infosys paper)

g + 30*r = 50 * 30 * y -->(1)
g + 60*r = 30 * 60 * y--->(2)
g + d*r = 60 * d * y --->(3)

frm (1)
g=1500y-30r
substitute g in (2)

1500y-30r+60r=1800y
30r=300y
r=10y

substitute y in (3)

1500y-300y+10dy=60dy

1200y=50dy

d=240 days

4)71842

5)

yellow (lie)
yellow (true)
blue   (true)
green  (lie)

6) 12 K.M

T1 + T2=6 (3 to 9.p.m)
T1-time during forward journey
T2-time during return journey
D1+D2-forwared/Return distance
D1/4+D1/3 =T1 (forward time)
D1/4+D2/6 =T2 (return time)
Adding we will get D1+D2=12 km

7)x=9 y=1,z=8

(i tried by assuming y=1 or y=2,(y-carry) i easily got)

8) 26 poles

solution:
if  n poles
(n-1) gaps of each 1000/(n-1) width

if n-1 poles
(n-2) gaps of each 1000/(n-2) width

so

1000/(n-2) -1000/(n-1)=5/3
1000(1/(n-2) -1/(n-1))=5/3
1000(1/(n-1)(n-2))=5/3
(n-1)(n-2)=(3/5)*1000=600

as  600=25*24

so number of  poles should be 26

9)andrew

10) easy analytical u can solve it.

I cleared written and attend interview on the next day.

Date of Interview:08.08.2005
Venue: Infosys head office, sholinganallur, chennai.
Time :10.20 A.M
-------------------------------------------------------

1)tell something about ur native place
2)tell something about ur project
3)who is leader
4)what motivates u
5)how u organize a event
6)ur extra curricular activities
7)if u r made principal of ur college what changes u would do ?

puzzle section
-----------------
8)easy number sequence..
9) a ^b +b ^a =786

a ? b ?

10)any questions ?

tats all

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tips to clear written test:
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1) 2005 infoysys test papers  (must)

2) 2004 infosys test papers  (must)

3) solved infy questions   (must)

4) puzzle to puzzle u by shakuntala devi  (must)

5)more puzzles  --(optional )