Infosys Questions(3)

1. Lusie age is between 54-70.she has sons and each sons has sons as many brothers they have. The combined number of sons and grandsons give lusie's age ? how old is she ?
   
2. A pigeon sitting on a cathedral tower of height 200m. another pigeon sitting on another tower of height of 150 m. the distance between the two towers is 250. in ground. there are some grains, the birds fly at same speed, and at same instance and reaches the ground and start to eat grains. how far is the grain in the ground level from cathedral tower.
   
3. on a field, 50 cows were put for fed, which can last grass in 30 days. If 30 cows were put, they can empty the field in 60 days. How many days 60 cows will take to last the grass ?
   
4. Here is a five digit number.the fifth one is half of fourth digit,there must be two primes ( 1 not considered as prime)the second digit is lowest digitthe third digit is highest.1'st digit greater than sum of last two digit
   
5. 4 players were playing a card game.Cards had different colours on both sides. Neither of cards has same colour on both sides. Colours were 2 Red,2 Blue,2 Green, 2 yellow.Cards were lying in front of each player.Now ,each playere knew the colour on other side of card. They are required to tell their colour.Statement given by each of them areAnnie: Blue or greenBobby: Neither Blue nor GreenCindy:Blue or YellowDainny:Blue or yellowColour of cards that are visible to all were Red,'Yellow,Green, Blue in order of names.Exactly two of them are telling truth and exactly two of them are telling are lieing ? can you tell the colour on other face of card for each player ( 8 marks )
   
6. A software enginner starts his walking at 3 PM from point A, he walks at the rate of 4km/hr in plains and 3km/hr in hill to reach the point B.During his return journey, he walks at the rate of 6km/hr in hill and 4km/hr in plains and reaches point A at 9.P.M. what is the distance between A and B ?
   
7. XXXYYYZZZ------------YXXZ------------What is the value of X, Y,Z ?
   
8. A 1 k.m long wire is held by n poles. if one pole is removed, the length of gap is increased by 5/3 meters. What is the number of poles initially.
   
9. Andrew beat jim, Davis,elite lost to jim, jack was beaten by jim. Jim beats davis. elite is not last. (sorry i forgot exact order )
   
10. One 8 mark question based on language they speak. There are four persons. Each persons speaking only two language conditions:nobody speak both German and France. William donno English but he act as interpreter b/w Jacob and Jim Jacob know German and some conditions ......we have to answer what the two languages they speak ?Jacob William Jim Andrew

answers

1)64 condition given : Lusie age should fall between 54-70suppose if she has 8 sons .

each son has 7 brother

each sons has 7 sons (condition given :as many brothers they have)

8 sons having 56 sons adding 56 + 8 =64

2) 90

3) actually I got 120 for the given data.I forgot the figures, but i give u the step how to calculate

g-grass at the beginning r - rate at which grass grows,per day y-rate at whichone

cow eats grass, per day n - no of cows to eat the grass in 90 days

formula: g+d*r=n*d*y ( I got this from old infosys paper)

g + 30*r = 50 * 30 * y -->(1)

g + 60*r = 30 * 60 * y--->(2)

g + d*r = 60 * d * y --->(3)

frm (1)

g=1500y-30r

substitute g in (2)

1500y-30r+60r=1800y

30r=300y

r=10y

substitute y in (3)

1500y-300y+10dy=60dy

1200y=50dy

d=240 days

4) 71842

5) yellow (lie)yellow (true)blue (true)green (lie)

6) 12 K.M

T1 + T2=6 (3 to 9.p.m)

T1-time during forward journey

T2-time during return journey

D1+D2-forwared/Return distance

D1/4+D1/3 =T1 (forward time)

D1/4+D2/6 =T2 (return time)

Adding we will get D1+D2=12 km

7) x=9 y=1,z=8(i tried by assuming y=1 or y=2,(y-carry) i easily got)

8) 26 poles solution:

if n poles

(n-1) gaps of each 1000/(n-1) width

if n-1 poles

(n-2) gaps of each 1000/(n-2) width

so

1000/(n-2) -1000/(n-1)=5/3

1000(1/(n-2) -1/(n-1))=5/3

1000(1/(n-1)(n-2))=5/3

(n-1)(n-2)=(3/5)*1000=600

as 600=25*24so number of poles should be 26

9) andrew

10) easy analytical u can solve it.