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Question
INFOSYS PLACEMENT PAPERS ----- Placement Paper  11
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                 INFOSYS PAPER 
                 PAPER CODE Q/C.
------------------------------------------------------------
------------
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)  C<A  AND  C>D
  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

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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
 V)    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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Question
INFOSYS PLACEMENT PAPERS ----- Placement Paper  10
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> Here are the infosys questions which appeared here.,  
They had
> five sets of que. papers A,B,C,D,E.  This is set A.  
Others
> are also of similar type with few modifications.
>.
> 
> 
> INFOSYS
> 
> 
> 
> > There are 5 q papers  with them. this is only one of 
those.
> > All otheres were more or less of the same model but 
different
> > qs. This is just to give U an idea.
> > 
> > 	The questions are not in order.
> > 
> > 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).

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> > 
> > 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).
> > 
> > 
> > Reference books
> > 1.) Puzzles and teasers by summer's
> > 2.) Shakuntala Devi. (puzzles).
> > 
> 
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Question
INFOSYS PLACEMENT PAPERS ----- Placement Paper  9
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                       INFOSYS       TIME 1hr. 
		       PAPER CODE Q/A.        marks 50.  
------------------------------------------------------------
-- 
1)At 6'o clock clock ticks 6 times.  The time between first 
and 
last ticks was 30sec.  How much time it takes at 12'o 
clock. 
 
Ans. 66 sec.                 2 marks. 
 
2)Three friends divided some bullets equally.  After all of 
them 
shot 4 bullets the total no.of remaining bullets is equal 
to that of 
one has after division.  Find the original number divided. 
 
Ans. x          x       x 
     x-4        x-4     x-4 
     3x-12 = x 
     x= 6 
     ans is 18                  2 marks 
 
3)A ship went on a voyage after 180 miles a plane statrted 
with 10 times 
speed  that of the ship.  Find the distance when they meet 
from 
starting point. 
 
Ans.  180 + (x/10) = x 
       x = 20 
       ans is 180+20=200miles.             2 marks 
 
4) Fill the empty slots. 
  Three FOOTBALL teams are there. Given below the list of 
maches. 
 
        played  won     lost    draw    Goals for       
Goals against 
A        2       2       *0      *0        
*7                 1          
B        2       *0      *1       1        
2                    4 
C        2       *0      *1      *1        
3                   7 
 
the slots with stars are answers.   4 marks 
BC drew with  2-2 
A won on B by 2-0 
a won on C by 5-1 
( YOU HAVE TO FILL THE BLANKS AT APPROPRIATE STAR SYMBOLS.)
` 
5) There are 3 societies a,b,c.  a lent tractors to b and c 
as many 
as they had.  After some time b gave as many tractors to a 
and c 
as many as they have.  After sometime c did the same thing. 
At the end of this transaction each one of them had 24. 
Find the tractors each orginally had. 
 
Ans a had 39, b had 21, c had 12,          4 marks 
 
6) There N stations on a railroad. After adding x stations 
46 additional 
tickets have to be printed. Find N and X. 
 
Ans. let N(N-1) = t; 
         (N+x)(N+x-1)       = t+46; 
         trail and error method   x=2  and N=11   4 marks 
 
7)Given that April 1 is tuesday. a,b,c are 3 persons told 
that their 
farewell party was on 
  a  - may 8, thursday 
  b  - may 10,tuesday 
  c  - june 8, friday 
Out of a,b,c one is only correct one of the regarding 
month,day,date. 
Other told two correct and the third person told all 
wrong.What is 
correct date,month,day.                 5 marks 

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(ans may be MAY 10 SUNDAY. check once again) 
8)There are 4 parties.  df,gs,dl(depositloss),ew ran for a 
contest. 
Anup,Sujit,John made the following statements regarding 
results. 
Anup said either df or ew will definitely win 
sujit said he is confident that df will not win 
John said he is confident that neither ew nor dl will win 
the result has come.  only one of the above three has made 
a correct 
statement.  Who has made the correct statement and who has 
won 
the contest.                    5 marks. 
  (ans DL ) 
9)Five people a,b,c,d,e are related to each other.  Four of 
them make 
one true statement each as follows. 
i) b is my father's brother.       (ans. d said this) 
ii)e is my mother-in-law.          (     b          ) 
iii)c is my son-in-law's brother.  (     e          ) 
iv)a is my brother's wife.         (     c          ) 
who said each statement. 
                                        10 marks. 
 
10) All members of d are also members of a 
    All   ''       e   ''                d 
    all    ''      c    ''               both a and b 
    not all ''     a  are members of d 
    not all ''     d   ''            e 
Some questions on these conditions.(5questions 5 marks) 
11) 
   boys are allowed to watch football at c.v.Raman 
auditorium subjected to 
   conditions. 
   i)the boy over age 16 can wear overcoat 
   ii)no boy over age  15 can wear cap 
   iii)to watch the football either he has to wear overcoat 
or cap 
        or both 
   iv) a boy with an umberella or above 16 or both cannot 
wear sweater. 
   v)  boys must either not watch football or wear sweater. 
 
   What is the appearence of the boy who is watching 
football. 
   Try to solve this question................ 
 
 
 
                      ok!!!!! 
                 infosys paper 
		 paper code q/c. 

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------------------------------------------------------------
------------ 
 
1)   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)  c<a  and  c>d  
  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 
 v)    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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Question
INFOSYS PLACEMENT PAPERS ----- Placement Paper  8
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Answer
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                                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 MAR
        RIED .

        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 :
      1. 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
         
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~


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    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


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       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
        ANDER 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.


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Infosys

                        --------

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1) There are two balls touching each other 
circumferencically.

The radius of the big ball is 4 times the diameter of the 
small

ball.The outer small ball rotates in anticlockwise direction

circumferencically over the bigger one at the rate of 16 
rev/sec.

The bigger wheel also rotates anticlockwise at Nrev/sec. 
what is

'N' for the horizontal line from the centre of small wheel 
always

is horizontal.

2)     1 2 3 4

     + 3 4 5 5

     ----------

       4 6 8 9

     - 2 3 4 5

     ----------

       2 3 4 4

     + 1 2 5 4

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

       3 6 9 8

 Q)  Strike off any digit from each number in seven rows 
(need not

 be at same place) and combine the same operations with 3 
digit numbers

 to get the same addition. After this strike off another 
digit from all

 and add all the No.s to get the same 2 digit No. perform 
the same

 process again with 1 digit No.s. Give the ' no.s in 7 rows 
at

 each stage.

3) there is a safe with a 5 digit No. The 4th digit is 4 
greater than

second digit, while 3rd digit is 3 less than 2nd digit. The 
1st digit

is thrice the last digit. There are 3 pairs whose sum is 
11. Find

the number.  Ans) 65292.

4) there are 2 guards Bal and Pal walking on the side of a 
wall of a

wearhouse(12m X 11m) in opposite directions. They meet at a 
point and

Bal says to Pal " See you again in the other side". After a 
few moments

of walking Bal decides to go back for a smoke but he 
changes his

direction again to his previous one after 10 minutes of 
walking in

the other(opposite) direction remembering that Pal will be 
waiting

for to meet.If Bal and Pal walk 8 and 11 feet respectively, 
how

much distance they would have travelled before meeting 
again.

5)          xxx)xxxxx(xxx

                3xx

                -------

                 xxx

                 x3x

                 ------

                  xxx

                  3xx

                  ------

   Q) Find the 5 digit No.

    Hint: 5 is used atleast once in the calculation.

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6) Afly is there 1 feet below the ceiling right across a 
wall length

is 30m at equal distance from both the ends. There is a 
spider 1 feet

above floor right across the long wall eqidistant from both 
the ends.

If the width of the room is 12m and 12m, what distance is 
to be

travelled by the spider to catch the fly? if it takes the 
shortest

path.

7) Ramesh sit around a round table with some other men. He 
has one

rupee more than his right person and this person in turn 
has 1 rupee

more than the person to his right and so on, Ramesh decided 
to give

1 rupee to his right & he in turn 2 rupees to his right and 
3 rupees

to his right & so on. This process went on till a person has

'no money' to give to his right. At this time he has 4 
times the

money to his right person. How many men are there along 
with Ramesh

and what is the money with poorest fellow.

8)Question related to probabilities of removing the red 
ball from a

basket,given that two balls are removed from the basket and 
the other

ball is red. The basket contains blue,red,yellow balls.

9)Venkat has 1boy&2daughters.The product of these children 
age is 72.

The sum of their ages give the door numberof Venkat.Boy is 
elder of

three.Can you tell the ages of all the three.

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                           ANALYTICAL

                           ----------

1)L:says all of my other 4 friends have money

M:says that P said that exact one has money

N:says that L said that precisely two have money

O:says that M said that 3 of others have money.

P:Land N said that they have money.

   all are liers.Who has money&who doesn't have?

2)A hotel has two,the east wing and the west wing.some east 
wing rooms

but not all have an ocean view(OV).All WW have a harbour 
view(HV).The

charge for all rooms is identical, except as follows

* Extra charge for all HV rooms on or above the 3rd floor

* Extra charge for all OV rooms except those without balcony

* Extra charge for some HV rooms on the first two 
floor&some EW rooms

without OV but having kitchen facilities. (GRE modrl Test 3-
question

                                                 1J-22)

3)Post man has a data of name surname door no.pet name of 4 
families.

But only one is correct for each family.There are a set of 
statements

&questions.

4)4 couples have a party.Depending on the set of 
statements,find who

insulted whom and who is the host of the party.

5)5 women given some of their heights(tall,medium,short)Hair
( long,

plainted),stards(Black or Brown), sari,2 medium,2-
short.Tall->no

sari.Plainted->medium.Answer the combinations.

1) A person has to go both Northwards&Southwards in search 
of a job.

He decides to go by the first train he encounters.There are 
trains for

every 15 min both southwards and northwards.First train 
towards south

is at 6:00 A.M. and that towards North is at 6:10 .If the 
person arrives

at any random time,what is the probability that he gets 
into a train

towards North.

2) A person has his own coach&whenever he goes to railway 
station he

takes his coach.One day he was supposed to reach the 
railway station

at 5 O'clock.But he finished his work early and reached at 
3 O'clock.

Then he rung up his residence and asked to send the coach 
immediately.

He came to know that the coach has left just now to tje 
railway station.

He thought that the coach has left just now to the railway 
station.He

thought that he should not waste his time and started 
moving towards

his residence at the speed of 3mi/hr.On the way,he gets the 
coach and

reaches home at 6 o'clock.How far is his residence from 
railway

station.

3)Radha,Geeta&Revathi went for a picnic.After a few days 
they forgot the

date,day and month on which they went to picnic.Radha said 
that it was

onThursday,May 8 and Geeta said that it was Thursday May 
10.Revathi

said Friday Jun 8.Now one of them told all things 
wrongly,others one

thing wrong and the last two things wrongly.If April 1st is 
tuesday

what is the right day,date and month?

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

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     There are 15 c q's all are discriptive.

int a=2;
f1(a++);
}
f1(int c)
{
printf("%d", c);
}
1)fallacy  
f()
{
int a;
void c;f2(&c,&a);
2)a=0;
b=(a=0)?2:3;
a) What will be the value of b? why
b) If in 1st stmt a=0 is replaced by -1, b=?
c) If in second stmt a=0 is replaced by -1, b=?
3)char *a[2]
int const *p;
int *const p;
struct new { int a;int b; *var[5] (struct new)
4)f()
{
int a=2;
f1(a++);
}
f1(int c)
{
printf("%d", c);
}
c=?
5)f1()
{
f(3);}
f(int t)
{
switch(t);
{
case 2: c=3;
case 3: c=4;
case 4: c=5;
case 5: c=6;
default: c=0;}
value of c?
6)Fallacy
int *f1()
{
int a=5;
return &a;
}
f()
int *b=f1()
int c=*b;
}
7)a)Function returning an int pointer
b)Function ptr returning an int ptr
c)Function ptr returning an array of integers
d)array of function ptr returning an array of integers
(See Scham series book)
8)fallacy 
int a;
short b;
b=a;
9)Define function ?Explain about arguments?
10)C passes  By value or By reference?
11)Post processed code for 
abc=1;
b=abc1; (1 or 2 blank lines are given)
strcpy(s,"abc");
z=abc;
12)difference between my-strcpy and strcpy ?check
13)f()
{
int *b;
*b=2;
}
14)Function which gives a pointer to a binary trees const 
an integer value
at each code, return function of all the nodes in binary 
tree.(Study)Check
15)Calling refernce draw the diagram of function stack 
illustrating the
variables in the -----then were pushed on the stack at the 
point when
function f2 has been introduced 
type def struct
{ double x,double y} point;
main( int argc, char *arg[3])
{double a;
int b,c;
f1(a,b);}
f1(double x, int y)
{
point p;
stack int n;
f2(p,x,y)}
f2(point p, double angle)
{ int i,j,k,int max)
}
____________________________________________________________
_

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1)Least no. when divide by [7 gives remainder 6,6gives 5,5 
gives 4 and
soon     ans;419
2)What compilation do (ans source code to obj)
3)Artficial language is provided which of the language 
(Lisp) check
4)241 change its equivalent octal ?
5)for cube and sphere 3 views are similarly draw one such 
figure?
6)Write a program to exchange two variaables without temp
7)Fortran cannot have value by reference
8)4,6,8,__
9)success is to failure, joy is to
10)MEANING OF JOLLY?
11)opposite to essential?
12)"Raw" means
 13)To be good "Wrestler " one should have?
14)"Command" opposite?
15)genuine opposite?
16)Two proverbs are goven
17)Sum of two consecutive nos is 55, larger one is?
18)A person goes 4/5 of his usual speed reaches 10min 
lateto his
destinaton, time taken? 
19)80% pass in english, 70%pass in maths , 10%fail in 
both , 144 pass in
both . How many all appeared to the test?
20)To get a parabola if you cut a section of?
21)Bird is flying 120km/hr b/w B to R. two trians at B to R 
at 60 kmph
The distance trvelled by the bird before it is 
killed.Ans.120
22)meaning of inert
        If any are there  rao will send you. Prepare well
for the interview. Mostly on graphics , geometry .Prepare 
questions like
(for interview)Prove  some of the angles in a triangle are 
180.Angle in a
half circle is 90.How will you measure hight of building 
when you  are at
the top of the building and if you have stone with you.

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INFOSYS PLACEMENT PAPERS ----- Placement Paper 7
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Answer
> The Questions are follows
> 
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> 1. Number of null pointers in any binary tree = n+1
> 
> 2. max(t1,t2,...tn)   = pipelining
> 
> 3. 50%   -DBETXXXXXX    - density
> 
> 4. print (Head(T))
>    Traverse(left(T))
>    print (Head(T))
>    Traverse(right(T))    - ans: none of the above
> 
> 5. Boolean expn Evalvate
>    
> 6. Common subexpn :   - ans : a + e
> 
> 7. LRU :  1, 2, 3.
> 
> 8. Tr. Delay - 10000 bits ans. 10.01
> 
> 9. Grammar of Number of shift / reduce operator  : ans. 4
> 
> 10. CPU scheduling  9,8 ?
> 
> 11. if even x/2
>     else p(p(3x+1))
> 
>    2^k + 1:  3 . 2^(k-1)  clarify this with sans
> 
> 12. allocation  ans: (ii) only
> 
> 13.  swapping :  ans: reference only
> 
> 14. Compiler - related Qn.
> 
> 15. LAN frames - ?  related Qn.
> 
> 16. parameter passing (35,20)
> 
> 17. sliding window protocol
>          -   BUFFER SIZE large
> 
> 18.  kernel mode   -  deallocate resource

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> 
> 19.  logic circuit
>       ans .  Minimum OR = 3
> 
> 20.  Combinatorics  related
> 
> 21. priority scheduling
> 
> 22. cobegin
>       begin  x = y; x= x+1;  y= x
>       begin x =y; z= z+1; y= z
>     coend
> 
>    ans.  Number of values possi = 2
> 
> 23. 2 bits flip / 2 bits exchange
>      
>      ans : the word with one '1'
> 
> 24.  any addr
>       K^+ v(a) + 2I - 2a
>      
>  clarify with SANS.
> 
************************************************************
*********/

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                 -----------------------------
                 INFOSYS TECHNOLOGIES LIMITED.
                 -----------------------------
                 Question Paper
                 --------------
                   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)

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

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                         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.
             of the breads plus 1/2 of a bread. Similarly 
2nd, 3rd,4th
             and 5fth also did the same. After the fifth 
one no. of
             breads remained are 3. Initially how many 
breads were there?
             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.

           With this The paper has been completed. For the 
lack time
           I have'nt typed those probs, which are in 
Sakuntala Devi
           Puzzle books. I wish all of you the best.
           Send me the mail immediately after the written 
test will
           be over. thank you


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TEST-1

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).

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TEST-2

1. At 6'o a clock ticks 6 times.
    The time between first and last ticks is 30 seconds.
    How long does it tick at 12'o clock.

Ans: 66 sec.                 (2 marks) 

2. Three friends divided some bullets equally.
    After all of them shot 4 bullets the total number of 
bullets remaining is equal to the bullets each had after 
division.
    Find the original number divided. 

Ans: 18                         (2 marks)

Initially   .    x          x        x 
Now          x-4       x-4     x-4 
Equation is   3x-12 = x 

3. A ship went on a voyage.
    After it had travelled 180 miles a plane statrted with 
10 times the speed of the ship.
    Find the distance when they meet from starting point. 

Ans: 200miles.              (2 marks)
        Distance travelled by plane = 1/10 distance 
travelled by ship + 180

4.  Complete the Table given below:

      Three football teams are there. Given below is the 
group table. Fill in the x's 

 Played Won Lost Draw Goals For Goals Against 
A 2 2 x x x 1 
B 2 x x 1 2 4 
C 2 x x x 3 7 

Ans: The filled table is given 
below                                (4 marks)

 Played Won Lost Draw Goals For Goals Against 
A 2 2 0 0 7 1 
B 2 0 1 1 2 4 
C 2 0 1 1 3 7 

5. There are 3 societies A, B, C. 
   A lent cars to B and C as many as they had already.
   After some time B gave as many tractors to A and C 
as many as they have.  After sometime c did the same thing. 
At the end of this transaction each one of them had 24. 
Find the cars each orginally had. 

Ans: A had 39 cars, B had 21 cars & C had 12 
cars                   (4 marks)

6. There N stations on a railroad. After adding X stations 
on the rail route 46 additional tickets have to be printed. 
Find N and X. 

Ans. x=2  and N=11

Let initially, N(N-1) = t
After adding,  (N+X)(N+X-1) =  t+46
By trail and error 
method                                       (4 marks)

7. Given that April 1 is tuesday.
    A, B, C are 3 persons told that their farewell party 
was on 
A  - May 8, thursday 
B  - May 10,tuesday 
C  - June 5, friday 
Out of A, B, C only one made a completetly true statement 
concerning date,day and month
The other told  two one told the day right and the other 
the date right..
What is correct date, month, day.

Ans:  B - (May 10) SUNDAY
        C  - June 6 
(Friday).                                     (5 marks)

8. The Bulls, Pacers, Lakers and Jazz ran for a contest.
    Anup, Sujit, John made the following statements 
regarding results. 
Anup said either Bulls or Jazz will definitely win 
Sujit said he is confident that Bulls will not win 
John said he is confident that neither Jazz nor Lakers will 
win 
When the result cameit was found that only one of the above 
three had made a correct statement. 
Who has made the correct statement and who has won the 
contest. 

Ans: Sujith; Lakers                      (5marks )

9. Five people A ,B ,C ,D ,E are related to each other.
    Four of them make one true statement each as follows.
(i)  B is my father's brother.        
(ii) E is my mother-in-law.
(iii)C is my son-in-law's brother
(iv)A is my brother's wife.

Ans: (i)   D
        (ii)  B 
        (iii) E
        (iv) C                                 (10 marks)

10.  Some statements are given below: 
 	L says all of my other four friends have money 
M says that P said that exactly one among them has money 
N says that L said that precisely two among them have money 
O says that M said that three of the others have money 
P, L and N said that they have money 
All the above statement are false.. 
Who has money & who doesn't have any money? 


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TEST-3

SECTION A

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.



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TEST-4
Section A

1. Father's age is three years more than three times the 
son's age.
    After three years, father's age will be ten years more 
than twice the son's age.
    What is the father's present age.

Ans: 33 years.                 (2 marks) 

2. Find the values of each of the alphabets.
     N O O N
     S O O N
 + M O O N
    ----------
      J U N E

Ans: 9326                         (2 marks)

3.  There are 20 poles with a constant distance between 
each pole
     A car takes 24 second to reach the 12th pole.
     How much will it take to reach the last pole.

Ans: 41.45 seconds              (2 marks)
        Let the distance between two poles = x
         Hence 11x:24::19x:?

4.  A car is travelling at a uniform speed.
     The driver sees a milestone showing a 2-digit number. 
     After travelling for an hour the driver sees another 
milestone with the same digits in reverse order. After 
another hour the driver sees another milestone containing 
the same two digits.
     What is the average speed of the driver?

Ans: 45 kmph                                (4 marks)

5. The minute and the hour hand of a watch meet every 65 
minutes.
    How much does the watch lose or gain time and by how 
much?

Ans:  Gains; 5/11 minutes                   (4 marks)

6. Ram, Shyam and Gumnaam are friends. 
    Ram is a widower and lives alone and his sister takes 
care of him. 
    Shyam is a bachelor and his neice cooks his food and 
looks after his house.
    Gumnaam is married to Gita and lives in large house in 
the same town.
    Gita gives the idea that all of them could stay 
together in the house and share monthly expenses 
equally.During their first month of living together, each 
person contributed Rs.25.
    At the end of the month, it was found that Rs 92 was 
the expense so the remaining amount was distributed equally 
among everyone. The distribution was such that everyone 
recieved a whole number of Rupees.  How much did each 
person recieve?

Ans. Rs 2                                       (4 marks)
        (Hint: Ram's sister, Shyam's neice and Gumnaam's 
wife are the same person)
7. 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.
    The colours visible on the table are Red, Green, Red 
and Blue.
    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.

Section B

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

Ans: 50%

2. An orange glass has orange juice and white glass has 
apple juice both of equal volumes.
    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? 

Ans: The two quantities are equal

3. There is a 4 inch cube painted on all sides.
    This is cut down into of 1 inch cubes. 
    What is the no of cubes which have no pointed sides. 

Ans:  8

4. Sam and Mala have a conversation. 

Sam says I am certainly 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 statements by the two are false. 
How old are they really? 

Ans: Mala = 38 yrs
        Sam  = 41 yrs.  

5. Ram Singh goes to his office in the city, every day from 
his suburban house.
    His driver Gangaram 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.
    Gangaram also reaches at the same time.
    One day Ram Singh 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 two 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 and the 
harbour line starts at 5.02A.M. 
   A man goes to the station every day to catch the first 
train that comes. 
   What is the probability of the man catching the first 
train? 

Ans: 0.8

7. A family X went for a vacation.
    Unfortunately it rained for 13 days when they were 
there.
    But whenever it rained in the mornings, they had clear 
afternoons and vice versa.
    In all they enjoyed 11 mornings and 12 afternoons. 
    How many days did they stay there totally? 

Ans: 18

8. A survey was taken among 100 people to find their 
preference of watching T.V. programmes.
    There are 3 channels. Given the no of people who watch 

at least channel 1 
at least channel 2 
at least channel 3 
no channels at all 
atleast channels 1and 3 
atleast channels 1 and 2 
atleast channels 2 and 3 
Find the no of people who watched all three. 

9. Albert and Fernandes have two leg swimming race.
      Both start from opposite ends of the pool. On the 
first leg, the boys pass each other at 18 m from the deep 
end of the pool. During the second leg they pass at 10 m 
from the shallow end of the pool. Both go at constant speed 
but one of them is faster. Each boy rests for 4 seconds at 
the end of the first leg.  What is the length of the pool? 

10. Each alphabet stands for one digit in the following 
multiplication. 
      T H I S 
      x     I S
    ---------
    X F X X 
    X X U X 
------------
X X N X X 
------------

What is the maximum value T can take?
TEST 5
Section A

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? 

Ans: 150 steps

2. Every day a cyclist meets a train at a particular 
crossing.
    The road is straight before the crossing and both are 
travelling in the same direction.
    The 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 speed of the train?

Ans: 60 kmph

3. There are five persons with surnames Mukherjee, Misra, 
Iyer, Patil and Sharma.
    There are 4 persons having first or middle name of 
Kumar, 3 persons with Mohan, 2 persons with Dev and 1 Anil. 
    Either Mukherjee and Patil have a first or middle name 
of Dev or Misra and Iyer have their first or middle name of 
Dev.
    Of Mukherkjee and Misra, either both of them have a 
first or middle name of Mohan or neither have a first or  
    middle name of Mohan.
    Either Iyer or Sharma has a first or middle name of 
Kumar but not both.
    Who has the first or middle name of Anil? 

Ans: Kumar Misra Dev
        Mohan Iyer Dev
        Kumar Patil Mohan
        Mohan Sharma Kumar 

4.  Boys are allowed to watch football at C.V.Raman 
auditorium subjected to conditions. 

The boy over age 16 can wear overcoat 
No boy over age  15 can wear cap 
To watch the football either he has to wear overcoat or cap 
or both 
A boy with an umberella or above 16 or both cannot wear 
sweater. 
Boys must either not watch football or wear sweater. 
   What is the appearence of the boy who is watching 
football. 

5. A bird keeper has got P pigeons, M mynas and S sparrows. 
    The keeper goes for lunch leaving his assistant to 
watch the birds. 
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? 
When the bird keeper comes back, the assistant told him 
that x birds have escaped. The keeper realised that atleast 
2 sparrows have escaped. 
What is minimum no of birds that can escape? 
6. Answer the following questions based on the conditions 
from the choices A, B, C, D, E as described below:
(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 

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 the 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 and 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. 
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?
(a) Yes  (b) No 

8. Two twins have vertain peculiar charcteristics. 
    One of them always lies on Monday, Wednesday, Friday. 
    The other always lies on Tuesdays, Thursdays and 
Saturdays. 
    On the other days they tell 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 
What day is today? 

Ans: Today is Tuesday.


9. There is a safe with a 5 digit number as the key.
    The 4th digit is 4 greater than second digit, while 3rd 
digit is 3 less than 2nd digit. 
    The 1st digit is thrice the last digit. 
    There are 3 pairs whose sum is 11. 
    Find the number. 

Ans: 65292

10. A hotel has two wings,the east wing and the west wing.
      Some east wing rooms but not all have an ocean view.
      All west wing rooms have a harbour view.
      The charge for all rooms is identical, except as 
follows : 

Extra charge for all harbour view rooms on or above the 3rd 
floor 
Extra charge for all ocean view rooms except those without 
balcony 
Extra charge for some harbour rooms on the first two floor 
& some east wing rooms without ocean view but 
having kitchen facilities. 
Which of the following cannot be determined on the basis of 
the nformation given:

I.   Whether there are any rooms without a balcony for 
which an extra charge is imposed.
II.  Whether any room without a kitchen or a view involves 
an extra charge.
III. Whether two extra charges are impsed for any room.

(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II and III

(This question is from 1999 Barrons GRE Guide model Test 3 -
 section 6, question 22) 

Ans: (A)


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TEST 6
Section A
1. Three friends divided some bullets equally. After all of 
them shot 4 bullets the total number of bullets remaining 
is equal to the bullets each had after division. Find the 
original number divided.         
                Ans: 18      ( Initially   .    x          
x        x 
                                    Now          x-4       
x-4     x-4 )   Equation is   3x-12 = x 

2. A ship went on a voyage. After it had traveled 180 miles 
a plane started with 10 times the speed of the ship.
    Find the distance when they meet from starting point.  
                Ans: 200miles.    (  Distance traveled by 
plane = 1/10 distance traveled by ship + 180 )

3. 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:  O =1, N = 8 ,E = 2, T = 7

4. In a railway station, there are two trains going. One in 
the harbor line and one in the main line, each having a 
frequency of 10 minutes. The main line service starts at 5 
o'clock and the harbor line starts at 5.02A.M. A man goes 
to the station every day to catch the first train that 
comes. What is the probability of the man catching the 
first train? 
                Ans: 0.8

5. 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 
base 5 )

6. Father's age is three years more than three times the 
son's age. After three years, father's age will be ten 
years more than twice the son's age. What is the father's 
present age?  
                 Ans: 33 years. 

7. 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 

8. From a vessel, 1/3rd of the liquid evaporates on the 
first day. On the second day 3/4th of the remaining liquid 
evaporates. What fraction of the volume is present at the 
end of the second day.
                Ans: 50% 

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

10.  There are 20 poles with a constant distance between 
each pole. A car takes 24 second to reach the 12th pole.
     How much will it take to reach the last pole. 
                Ans: 41.45 seconds        (Let the distance 
between two poles = x, Hence 11x:24::19x:? )

11.  How can 1000000000  be written as a product of two 
factors neither of them containing zeros 
                Ans: 2 power 9 x 5 power 9 

12. 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 much faster is one train from other?
                Ans: Twice

13. Every day a cyclist meets a train at a particular 
crossing. The road is straight before the crossing and both 
are traveling in the same direction. The cyclist travels 
with a speed of 10kmph. One day the cyclist comes late by 
25 min. and meets the train 5km before the crossing. What 
is the speed of the train?
                Ans: 60kmph  

14. 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                             

15. The minute and the hour hand of a watch meet every 65 
minutes. How much does the watch lose or gain time and by 
how much? 
                Ans:  Gains; 5/11 minutes   

16. A survey was taken among 100 people to find their 
preference of watching T. V. programs. There are 3 
channels. Given the no of people who watch 

at least channel 1 
at least channel 2 
at least channel 3 
no channels at all 
at least channels 1and 3 
at least channels 1 and 2 
at least channels 2 and 3 
Find the no of people who watched all three. 
                Ans. 

17. Two trains start from stations A and B spaced 50kms 
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: 100kms.

18. 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 colors on either side.  The colors 
visible on the table are Red, Green, Red and Blue. 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 colors on the cards each person.
                Ans.

19. 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 position 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                   

20.  Some statements are given below: 

L says all of my other four friends have money 
M says that P said that exactly one among them has money 
N says that L said that precisely two among them have money 
O says that M said that three of the others have money 
P, L and N said that they have money 
All the above statement are false. Who has money & who 
doesn't have any money? 
                Ans. 

21. The Bulls, Pacers, Lakers and Jazz ran for a contest. 
Anup, Sujit, John made the following statements regarding 
results.

Anup said either Bulls or Jazz will definitely win 
Sujit said he is confident that Bulls will not win 
John said he is confident that neither Jazz nor Lakers will 
win 
When the result came, it was found that only one of the 
above three had made a correct statement. Who has made the 
correct statement and who has won the contest. 
                Ans: Sujith; Lakers                       

22. There are five persons with surnames Mukherjee, Misra, 
Iyer, Patil and Sharma. There are 4 persons having first or 
middle name of Kumar, 3 persons with Mohan, 2 persons with 
Dev and 1 Anil. Either Mukherjee and Patil have a first or 
middle name of Dev or Misra and Iyer have their first or 
middle name of Dev. Of Mukherkjee and Misra, either both of 
them have a first or middle name of Mohan or neither have a 
first or middle name of Mohan. Either Iyer or Sharma has a 
first or middle name of Kumar but not both. Who has the 
first or middle name of Anil? 
                Ans: Kumar Misra Dev, Mohan Iyer Dev, Kumar 
Patil Mohan, Mohan Sharma 
Kumar                                

23. 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.

24. There are 6 volumes of books on a rack kept in order ( 
i.e. 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 

25. 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 traveled in north and south 
directions: 
                            1/2 - 1/8 + 1/32 - 1/128 + 
1/512 - ............. = 1/2/((1-(-1/4)) 
                       Similarly in east and west 
directions: 
                            1- 1/4 + 1/16 - 1/64 + 1/256 -
 ...................  = 1/(( 1- ( - 1/4))    Add both the 
answers 

26. Conversation between two mathematicians: 
             First : I have three children. The product of 
their ages is 36. If you sum their ages, it is exactly same 
as my neighbor's door number on my left. 
    The second mathematician verifies 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". 
Immediately the second mathematician answers. Can you 
answer the question asked by the first mathematician? What 
are the children ages? 
                Ans 1,6 and 6

27. 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 
positions 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 

28.  There are six boxes containing 5 , 7 , 14 , 16 , 18 , 
29 balls of either red or blue in color. 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 sold out ? 
                 Ans: Total no of balls = 89 and (89-29 /2) 
= 60/2 = 30 and also 14 + 16 = 5 + 7 + 18 = 30 

29. Ram Singh goes to his office in the city, every day 
from his suburban house. His driver Gangaram 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. Gangaram also reaches at the same time. One day 
Ram Singh 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? 
                Ans.

30. A family X went for a vacation. Unfortunately it rained 
for 13 days when they were there. But whenever it rained in 
the mornings, they had clear afternoons and vice versa. In 
all they enjoyed 11 mornings and 12 afternoons. How many 
days did they stay there totally? 
                Ans: 18

31. There are N coins on a table and 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. 

If N=7 
(a) A can always win by taking two coins in his first 
chance 
(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 
    Ans.

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 
    Ans.

4. if N<4, can A win by proper play always?
(a) Yes  (b) No
    Ans. 
32. 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. 

33. Five people A ,B ,C ,D ,E are related to each other. 
Four of them make one true statement each as follows.
            (i)  B is my father's brother.        
            (ii) E is my mother-in-law.
            (iii) C is my son-in-law's brother
            (iv) A is my brother's wife.            
                Ans: (i) D        (ii)  B        (iii) 
E        (iv) C 

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Section A

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. 

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. 

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

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? 

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

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 ? 

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 ? 

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 ? 
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 ? 

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.? 

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Answers Section A 

Q-1
Ans: 8+1=9

Q-2
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

Q-3
Ans: 2 power 9 x 5 power 9 

Q-4
Ans 1,6 and 6

Q-5
Ans : 383 + 1 = 384 

Q-6
Ans A 

Q-7
Ans: Rs 250/- 

Q-8
Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30 
and also 14 + 16 = 5 + 7 + 18 = 30 

Q-9
Ans : 2.

Q-10
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

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?

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).

4. Next number in the series is 
      1 , 2 , 4 , 13 , 31 , 112 , ?

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.

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?

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.
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?

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

10. Supposing a clock takes 7 seconds to strike 7. How 
mlong will it take to strike 10?

Section B Answers

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

Q-2
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.

Q-3
Ans: Time of shooting = 11:54 PM
        Claimed Time     = 10:59 PM

Q-4
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

Q-5
Ans: Afternoon ; A is Salman.

Q-6
Ans: Twice

Q-7
Ans: 2 , 5 , 1 , 3 , 6 , 4

Q-8
Ans: Only 0 1 6 8 and 9 can be readupside down.So on 
rearranging these digits we get the answer as 10968

Q-9
Ans: Hint : the figure can be divided into 12 equal 
triangles

Q-10
Ans: 10 1/2 seconds.


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HCL SOFTWARE PAPER)******************************

NOTE :  Please check answers once again.

           section 1.

1.which of the following involves context switch,
a) system call b)priviliged instruction
c)floating poitnt exception
d)all the above
e)none of the above
ans: a

2.In OSI, terminal emulation is done in
a)semion b)appl.. c)presenta... d)transport
ans: b

3....... 25MHz processor , what is the time taken by the 
instruction which needs 3 clock cycles,
a)120 nano secs  b)120 micro secs
c)75 nano secs  d)75 micro secs


4. For 1 MBmemory no of address lines required,
a)11 b)16  c)22   d) 24
ans: 16

5. Semafore is used for
a) synchronization  b0 dead-lock avoidence
c)box  d) none
ans : a

6.  class c: public A, public B

a) 2 member in class A,B shouldnot have same name
b) 2 member in class A,C    " ''    ''   ''
c) both 
d) none
ans : a
7. question related to java
8. OLE is used in
a)inter connection in unix
b)interconnection in WINDOWS
c)interconnection in WINDOWS NT
9.No given in HEX ---- write it in OCTAL

10.macros and function are related in what aspect?
a)recursion  b)varying no of arguments
c)hypochecking d)type declaration

11.preproconia.. does not do one of the following
a)macro ......  b)conditional compliclation
c)in type checking d)including load file
ans: c
    

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         SECTION B
             __________
1.enum day = { jan = 1 ,feb=4, april, may}
what is the value of may?
a)4 b)5 c)6 d)11
e)none of the above
2.main
{
int x,j,k;
j=k=6;x=2;                           ans x=1
x=j*k;
printf("%d", x);

3. fn f(x)                   
                                    
{ if(x<=0)
  return;                          ans  fn(5) ....?
else f(x-1)+x;
}

4. i=20,k=0;
for(j=1;j<i;j=1+4*(i/j))
{
k+=j<10?4:3;
}

printf("%d", k);            ans  k=4
5.  int i =10
main()
{
int i =20,n;
for(n=0;n<=i;)
{
int i=10
    i++;
}
printf("%d", i);              ans i=20

6. int x=5;
    y= x&y
( MULTIPLE CHOICE QS)
ans :  c


7.  Y=10;
 if( Y++>9 && Y++!=10 && Y++>10)
printf("........ Y);
else   printf(""....  )

ans : 13
8. f=(x>y)?x:y
a) f points to max of x and y
b) f points to min of x and y
c)error
d) ........

ans  :  a


9. if x is even, then

(x%2)=0
x &1 !=1
x! ( some stuff is there)

a)only two are correct
b) three are correct
c), d)  ....


ans  :   all are correct

10.  which of the function operator cannot be over loaded

a) <= b)?: c)== d)*

ans:  b and d

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                        SECTION.C  (PRG SKILLS)
                          --------
(1)      STRUCT DOUBLELIST
      {                              DOUBLE CLINKED
        INT DET;                     LIST VOID
        STRUCT  PREVIOUS;            BE GIVEN AND A 
PROCEDURE TO DELETE
        STRUCT NEW;                  AN ELEMENT WILL BE 
GIVEN
      }  
     DELETE(STRUCT NODE)