INFOSYS Paper-2

                          INFOSYS PAPER(July 18, 2004)

 1) A train goes from stations A to B. One day there is a technical  problem at the very beginning of the journey & hence the train  travels at 3/5 of it's original speed and so it arrives 2 hours late.  Had the problem occured after 50 miles had been covered, the train  would have arrived 40 min earlier(i.e., only 120-40 = 80 min late).  What is the distance between the 2 stations?

 Ans:300 miles

 2) My husband's age contains the same two digits as my age but in  reverse order. The difference between our ages is 1/11 of their sum.  Also, my husband is older than me. What are our ages?

Ans:54 and 45

 3) There is a certain 5 digit no.
    a) it contains two primes.
    b) third digit is highest.
    c) second digit is lowest.
    d) fifth digit lies between first & second digits & is half of  fourth 

      digit.
    e) first digit is more than the sum of fourth & fifth digits.
   What is the no?

ans:71842

 4) A solid cube whose external surface is painted red, is cut into 27  smaller cubes by 6 straight cuts. How many of these small cubes have:
    a) 3 red faces
    b) 2 red faces
    c) 1 red face
    d) no red faces

ans:8,12,6,1

 5) A,B,C,D represent the digits 1,2,3,4 but not in the same order.
    a) if A is 1, B is not 3
    b) if B is not 2, D is 4
    c) if C is 3, D is not 2
    d) if C is not 2, D is 2
        What is the no.?
    (I'm not very sure of this qs. Wording & conditions may be           slightly different)      

 6) There is a tank which has 2 taps & a waste pipe. The two taps fill  the tank individually in 10 min and quarter of an hour. The waste pipe empties  the tank in 7.5 min. If both the taps as well as the waste pipe are kept open, when(if ever) will the tank fill ?

ans:30 mins

 7) There are 2 cats of which at least 1 is male. What is the probability that both cats are male ?

ans:0.5

 8) Some Men(M) & Women(W) were there at a party.
   a) M + W > 100
   b) W > M
   c) There were twice as many men as would have been women if Kaazi  women had been men & if 1/3rd of the women had been absent.
   d) There were 11 more women than there would have been if 1/2 of      the men were women & .....
  Kaazi is the name for some numerical constant in some language. (like, for e.g., we say chaar, paanch for 4,5 resp. in Hindi)  
   i) How much is Kaazi ?
  ii) How many men & women are there ?
 (Again, I'm not very sure abt the correctness of the last condition ; also, this problem was somewhat difficult. None of the students I talked to had solved it).

 9) 5 people A,B,C,D,E are there. They speak English, Spanish, French,   Portugese, German, etc.
   a) A & B speak English but they switch over to Spanish when C joins   them as that is the only common languge between them. 
  Around 4-5 such conditions are there. Then A,B,C,D each make around 3 statements each. You have to determine who speaks which language.

10) A said to B that “now you should have at least 30 clerks in your company”

      but B said that “ if there are twice the number of the female clerks or thrice the number of the male clerks , the number will be 30”

we shall expect that number  in another 2 or 3 years.

Find the total number of clerks

Ans:18(12 female and 6 male)