Placement Papers - Infosys

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INFOSYS PAPER - 08 MAY 2005 - CHENNAI

Posted By : Srihari Rating : +10, -1
Hi Friends                                                  
I           attended Infosys written test  on           8-5-2005 at Chennai and got short-listed. I thank Friends madam a lot           for her service. If it was not for this group, I wudnt have cleared           the written test. Since I didn't have much time, I prepared only from           the previous papers given by the group members now and then and that           has really helped. Also, I thank all the people who shared their           experience with the group. It gave me the much needed confidence. So           thanks once again.                      
           
My           HR interview was scheduled on 9-5-2005. But since I had my university           semester examination on 9th, I couldn't attend it. I conveyed my           problem to one of the Infosys staffs at the test centre and was given           assurance that my interview would be re-scheduled to sometime around           May 22nd.                        
                                 
As           for the others, friends, I am attaching the question paper with the           answers. I think I got all the 10 puzzles right.

                                 
QUESTIONS           PAPER - MAY 8, 2005
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1)           There was a cycle race going on. 1/5th of the those in front of a           person and 5/6th of those behind him gives the total number of           participants. How many people took part in the race?            (3 marks)                      
           
Ans : 31                      
                                 
Approach:
Let           the total number of participants be X
So,           [(x-1)/5 + 5(x-1)/6] = X                      
                       
2)           Today is Saturday. A person wants to meet a lawyer and as that lawyer           is busy he asks him to come three days after the before day of the day           after tomorrow? On which day the lawyer asks the person to come?                                            
           
Ans: Wednesday                                            
                                             
Approach:
Today=Saturday
Day           after tomorrow=Monday
Day           before day after tomorrow=Sunday                      
                       
Three           days after the day before the day after tomorrow=Wednesday

           
3)           A person is 80 years old in 490 and only 70 years old in 500 in which           year is he born?                                            
           
Ans: 570 BC                                            
           
Approach:                      
                       
Since           the age gets decreased with the years, the years should definitely be           in BC and hence u should increment the years as u decrease the age.           Therefore if he is 70 years old in 500BC, he would have born on 570           BC!!


                       
4)           A man enquires a person about the past 5 days temperatures at 12 noon           in that region. The other replies that he doesn't remember the actual           figures but there was a different temperature on each day and that           their product gives 12. Assuming the temperature to the nearest degree           what are the temperatures on the five days?                                            

Ans: -1,-2,1,2,3                      
           
Approach:                      
                       
We           know that the smallest two integers that can give a product of 12 is           3*4 which is spilt up as 2*2*3. But no temperature is the same...hence           use -2 instead of 2. Now the product becomes -12. Choose the other           temperatures such that value of the product does not change but only           the sign changes. So naturally, the other two options are -1 and 1.

           
5)           A cube is painted. It is cut into 27 cubes with three straight lines.           Find the number of cubes with
          a. 3 sides painted
          b. 2 sides painted
          c. 1 side painted
          d. no painted sides                                            
           
Ans:  a. 8 (4           corner cubes + 4 corner cubes)
                           b.           12 (center cubes at each EDGE)
                                      c. 6 (center           cubes at each FACE)
                           d.           1 (cube at the center of the original cube)                      
                     
           
Approach                      
                       
Draw           a cube (with front, top and side faces, dont draw the inner lines.           that'll confuse) cut it into 27 cubes. thats done by drawing 3           horizontal and 3 vertical lines on the front face of the cube. extend           those lines along the other two faces. then COUNT accordingly.

           
6)           A person travels at a speed of 10 mph from one city to another.           However while returning as there was            not much traffic. He  came           with a speed of 15mph. what is his average speed?                                            
           
Ans: 12 mph                                            
           
Approach:                      
                                                                                                                         
Let           the distance be X
Distance/           Time=Speed
Time           taken for forward journey=X/10
Time           taken for return journey=X/15
Total           time for to and fro journey T =[(X/10)+(X/15)]
Total           distance covered D=2X
Hence,           average speed= D/T = 12mph

7)           There is a peculiar island where people speak a strange language           called 'Kubi'.The men always speak truth and a women never say two 2           consecutive  truth or           false statements, that is, if she says truth statement            once then she says false statement next and vice versa. The           boys and girls always lie. One day I asked a child "Are you a boy           or girl ?" and the child replied in Kubi. Since I didn't know the           language, I asked the child's parents what it means. One of the           parents said "The child says,"I am a boy""            and the other said that "The child is a girl. He           lied".
a) Is the child a boy or a girl
b) Which parent answered first?                                            
           
Ans: The child is a girl           and father answered first.                                            
           
Approach:                      
           
Take           the statement "The child is a girl. He lied". If 'He lied'           is true, then the child is a girl is a false. Likewise, is 'He lied'           is false, then the child is a girl is true => The second statement           was given by the child's mother and hence the father answered first.                      
                                 
Take           the statement  "The           child says,"I am a boy". Since the father always speak the           truth, the child should have said that he was a boy. But then the           child lies, so he cannot be a boy => the child was a girl.           (Confused? Try reasoning it out yourself, u'll understand the logic)

8)           There is a couple and they have many children. 7 of them dont eat           spinach. 5 ot them dont eat carrot. 6 of them dont eat beans. 4 of           them dont eat either spinach or carrot.            2 of them eat neither spinach or beans and 3 of them eat           neither carrot or beans. and 1 dont eat spinach, carrot or beans. How           many children r there in total?                                            
           
                         Ans: 9 children                                            
           
Approach:                      
                                             
4           of them don't eat spinach or carrot => 4 of them eat beans alone.
2           of them don't eat spinach or beans => 2 of them eat carrots alone.
3           of then don't eat carrot or beans =>3 of them eat spinach alone.
Total           children=4+2+3=9                      
                                 
(If           some other reasoning approach was chosen, the remaining three           statements could be used. But this one            is simple and I am sure that the answer is right. Try out the           other approaches anyway)

9)           There are three tribes in a village. The Sorobean always speaks the           truth. The Narobean always lies and the Midorean speaks truth and           false alternatively. From the following statements, find out who           belongs to which tribe.                                            
                                                                                         
A:           I am a Sorobean
               B is a Narobean
B:           I am a Sorobean
               C is a Midorean
C:           I am a Sorobean
               A is a Midorean                      
                       
Ans:                          A -Midorean, B-Narobean, C-Sorobean                                            
           
Approach:                      
                       
Simple           ! Assume one as Sorobean and try to satisfy the conditions. All the           above statement get satisfied only for the above answer. I think the           statements that I have given are right...am sorry if its wrong but the           answer to this puzzle in the Infy paper is the one that I have given           above.

                                 
10)           A flight is scheduled to depart at 12 midnight.            A family arrived at the airport 10 hours late and missed the           flight. If they had arrived 4 hours earlier, they would have reached           the airport 2 hours earlier to the departure of the flight. (Something           like that...not sure of the values). What is the present time ?
Ans: 4PM

                                                                             
Approach:
Let           the present time be X
If           they r 4 hours early, they arrive at airport at X+(10-4)=X-6.
The           train leaves at 12 midnight => total duration from morning 12am 10           12 midnight =24 hours.
x-6           is 2 hours earlier to 12Pm =>24-(x-6)=2
X=16           hours=4PM
 
           The           paper was very easy compared to all the other papers. Have confidence           and  clear analytical           thinking...u can clear Infy written test.


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