Placement Papers - Infosys

1)The age of the grand lady is between 50-70 where each of her son       has as many sons as many brothers he has. The grand lady\'s age is       equal to the number of sons and grand sons. What is the age of the       grand lady.
      
       Ans: 64 years

             2) 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. There are 2 red, 2green and 2 blue. 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.
      
       3) what is the 5 digit number which has only 2 prime numbers in it       and satisfies the following
       condition.
       a>3rd digit is the largest
       b>2nd digit is the smallest
       c>1st digit is one less than the 3rd digit and greater than the
       addition of 4th and 5th digit.
       d>5th digit is between the 1st and 2nd digit and half of the 4th       digit.
       1 is not considered as the prime number.
      
       Ans: 71842

       4> What is the value of X,Y and Z?
       X X X X
       Y Y Y Y
       Z Z Z Z
       -----------
       Y X X X Z
       -------------
      
       Ans: X=9, Y=1, Z=8
 
                           
             5)40 cows graze a pasture in 40 days,30 cows graze the same pasture       in 60 days. how many days does 20 cows take to graze it.
      
       Ans:80 days (check it)

       6) A person from washington came to india. One evening at 6.00 p m       he started walking at the speed of 40 km/hr and climbed the slope at       speed of 30 km/hr.
       From there he walked back to the source at the same speed at 9.00 p       m.
       what is the distance he covered in one way.
      
       Ans: 12 kms

       7) A c-pole of 200 ft is 250 ft from the d-pole which is 150 ft       high.. Two pigeons are sitting at the top of each poles (one in one pole)       Both pigeon fly towards a grain which is present between the 2 poles       at the same speed. What is the distance between the c-pole and the       grain?
      
       8) A 1 Km wire is connected between N poles. if 1 pole is removed       the distance between the pole increases by 2/3 of the original       distance. How many poles are there ? 


9)A question on languages. something like... Four people are there       among them they know languages like French, Italian, German,       English.
       Each of them know two languages exactly.
       no body knows French and German together.
       --

       10) a question on racing.
       asking who is the first in the race.