Infosys  Placement Paper   Aptitude - Puzzle   -

Infosys  Placement Paper   Aptitude - Puzzle   -

  • Posted by  FreshersWorld 
    7 Jan, 2012


    Part I

    1). A beggr 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))

       add both the answers

    3). hoe 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 second mathematician answers . Can  you  aanswer
    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  tobe  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

      If you qualify in the first part then you have to appear for
    the second i.e the following part.

                                                      Part 2.

    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 train

    7.  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 and12afternoons.  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


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