Infosys Sample Test Paper

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    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: 81!"

    #) A soldier looses his way in a thick $ungle. At random he walks from his cam% butmathematically in an interesting fashion. &irst he walks one mile 'ast then half mile to(orth. hen 1*4 mile to +est, then 1*8 mile to -outh and so on making a loo%.

    &inally how far he is from his cam% and in which direction.

    Ans: istance travelled in north and south directions

    1*# / 1*8 1*0# / 1*1#8 1*1# / and so on

    ! 1*#*221/2/1*4))-imilarly in east and west directions

    1/ 1*4 1*16 / 1*64 1*#6 / and so on

    ! 1*22 1/ 2 / 1*4))

    Add both the answers

    0) 3ow can 1 be written as a %roduct of two factors neither of them

    containing 5eros

    Ans: # %ower " %ower "

    4) 7onversation between two mathematcians:

    First: I have three childern. he %roduct of their ages is 06.

    If you sum their ages, it is eactly same as my neighbours door number on my left.

    he second mathematician verfies the door number and says that it is not sufficient.hen the first says 9 k one more clue is that my youngest is really the youngest9.

    Immmediately the second mathematician answers .

    7an you answer the ;uestion asked by the first mathematician am.

    Ans : 080 1 ! 084

    6) men are arranged in an array of 1 rows and columns according to their

    heights. allest among each row of all are asked to fall out.

    And the shortest among them is A.

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    -imilarly after resuming that to their original %odsitions that the shortest among each

    column are asked to fall out.And the tallest among them is ? .

    (ow who is taller among A and ? ) A %erson with some money s%ends1*0 for cloths, 1* of the remaining for food and 1*4of the remaining for travel.

    3e is left with @s 1*/ .

    3ow much did he have with him in the begining , 14 , 16 , 18 , #" balls of either red or blue in

    colour.

    -ome boes contain only red balls and others contain only blue.

    ne sales man sold one bo out of them and then he says9 I have the same number of red balls left out as that of blue 9.

    +hich bo is the one he solds out B #4 B y

    g 6Br ! 0 B 6 B y

    g "6Br ! n B "6 B y-olving, n ! #.

    1. &athers age is three years more than three times the sons age.

    After three years, fathers age will be ten years more than twice the sons age.

    +hat is the fathers %resent age.

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    Ans: 00 years. 2# marks)

    #. &ind the values of each of the al%habets.

    ( (

    - (

    C (

    ////////// D E ( '

    Ans: "0#6 2# marks)

    0. here are # %oles with a constant distance between each %ole A car takes #4 second to reach the 1#th %ole.

    3ow much will it take to reach the last %ole.

    Ans: 41.4 seconds 2# marks)

    =et the distance between two %oles ! 3ence 11:#4::1":8600.+hats the original number if all digits were

    different

    Ans: he filled table is given below 24 marks)

    Played on !ost Dra" oals For oals A$ainst

    A # # > 1

    B # 1 1 # 4

    C # 1 1 0 >

    . here are 0 societies A, ?, 7.A lent cars to ? and 7 as many as they had already.

    After some time ? gave as many tractors to A and 7

    as many as they have. After sometime c did the same thing. At the end of this transactioneach one of them had #4.

    &ind the cars each orginally had.

    Ans: A had 0" cars, ? had #1 cars J 7 had 1# cars 24 marks)

    6. here ( stations on a railroad.After adding K stations on the rail route 46 additional tickets have to be %rinted.

    &ind ( and K.

    Ans. !# and (!11

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    =et initially, (2(/1) ! t

    After adding, 2(K)2(K/1) ! t46?y trail and error method 24 marks)

    >. iven that A%ril 1 is tuesday.

    A, ?, 7 are 0 %ersons told that their farewell %arty was on

    A / Cay 8, thursday ? / Cay 1,tuesday

    7 / Dune , friday

    ut of A, ?, 7 only one made a com%letetly true statement concerning date,day andmonth

    he other told two one told the day right and the other the date right..

    +hat is correct date, month, day.

    Ans: ? / 2Cay 1) -E(AG 7 / Dune 6 2&riday). 2 marks)

    8. he ?ulls, Hacers, =akers and Da55 ran for a contest.

    Anu%, -u$it, Dohn made the following statements regarding results.

    Anu% said either ?ulls or Da55 will definitely win

    -u$it said he is confident that ?ulls will not win

    Dohn said he is confident that neither Da55 nor =akers will win

    +hen the result cameit was found that only one of the above three had made a correct

    statement.

    +ho has made the correct statement and who has won the contest.

    Ans: -u$ithF =akers 2marks )

    ". &ive %eo%le A ,? ,7 , ,' are related to each other.

    &our of them make one true statement each as follows.

    2i) ? is my fathers brother.2ii) ' is my mother/in/law.

    2iii)7 is my son/in/laws brother

    2iv)A is my brothers wife.

    Ans: 2i) 2ii) ?

    2iii) '

    2iv) 7 21 marks)

    1. -ome statements are given below:

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    = says all of my other four friends have money

    C says that H said that eactly one among them has money

    ( says that = said that %recisely two among them have money

    says that C said that three of the others have money

    H, = and ( said that they have money

    All the above statement are false..+ho has money J who doesnt have any money 8

    " 1 11 1#

    he locker belonging to D('- was to the right of ?=A7L- locker and directly

    above CI==A@-.

    ?3- locker was directly above CI==A@-.

    -CI3- locker was also above @AGs 2though not directly).

    @''(- locker was directly below -CI3-.

    +I=-(- locker was between that of AI- and ?3.

    CI==A@- locker was on the bottom row directly to the right of 3'@-. +3I'- locker was on the bottom right hand corner in the same column as

    ?3-.

    +hich bo belonged to Cr.Cathurs and 81 kgs.

    6. A hotel has 1 storeys.+hich floor is above the floor below the floor, below the floor

    above the floor, below the

    floor above the fifth.

    Ans: he sith floor.

    >. -even members sat around a table for three days for a conference.

    he members names were Abhishek, Amol, Ankur, Anurag,?huwan ,asu and ikram. he meetings were chaired by ikram.

    n the first evening members sat around the table al%habetically.

    n the following two nights, ikram arranged the seatings so that he could have

    Abhishek as near to him as%ossible and abesent minded asu as far away as he could.

    n no evening did any %erson have sitting net to him a %erson who had %reviously

    been his neighbour.

    3ow did ikram manage to seat everybody to the best advantage on the second andthird evenings8600.+hats the original number if all digits weredifferent