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Infosys Aptitude - Puzzle Placement Paper 10 Sep 2006 Hyderabad

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                                   infosys placement paper on tenth September  at hydrabad hi frends, here are the ques.   1. (X)^1/3 -  (X)1^9=60 approach let (X)^1/3 =t so  t-(t)^1/3=60 so now hit and trial the number which satisfies it is 64 so t=64 so (X)^(1/3)=64   

2.A cube issue which is painted with red  is cut into 27 small cubes with 6 straight cuts
a) how many cubes are there with 0 side red colour
b) how many cubes are there with one side red colour
c) how many cubes are there with two side red colour
d) how many cubes are there with three side red colour

0 faces coloured-1(27-(12+6+8))
1 faces coloured-6(All middle ones are one face colored red  1*6=6)
2 faces coloured-12(exclude corners other are two faces colored red so 4*3=12)
3 faces coloured-8( all corners are three faces colored red so two at front and two at back)

  Approach draw a cube and cut it into six parts    

3.A man begins from XYZ city and drives a constant speed. After a few time he sees a milestone with 2 digits written on it.after he drives for an hour, he sees a different milestone with the identical digits, but in reversed order. After a different hour ofjourney, he sees a different milestone with original digits but with a zero ranging from them.Find the speed of the car?

A let the distance showed on 1st milestone be 10x+y     distance showed on 2nd milestone be 10y+x    now hit and trial let x=1 y=6  so 16 ,61,106   distance is 45km/hr. this is the only condition satisfies   4.A five digit no whose 3rd digit is 1 greater than the sum of the 1st 2 digits and the 3rd digit is double the 4th digit and 4th digit is double the 5th digit and 2nd digit is greater than 1st digit by 5. and if we multiply 4th and 5th digith we get 3rd digit. A    Let the digits be denoted by p1p2p3p4p5     p3=p1+p2+1     p3=2p4     p4=2p5     p2=p1+5  hit and trial 16842   5. There was a cycle race going on. 1/5th of the those in front of a person and 5/6th of those behind him provide the total
number of  participants. How many people took part in the race?    A. Let total number of people be x 1/5(x-1)+5/6(x-1)=x so x=31     6. .B and C initially speak English but when D joined Spanish they too took up Spanish. The only common language ranging from A, B and E is French. The only common language ranging from C and E is Italian. 3 people speak Portuguese. Most common language is Spanish. 1 person knows all the five language, 1 person knows four languages, 1 person knows three languages, 1 person knows two languages and 1 person knows only 1 language.  


A -French, Spanish, Portuguese

B -English, Spanish, French, Portuguese, Italian

C - English, Spanish, Italian, Portuguese

D -Spanish

 Approach draw table and solve it u will get it   7.Uncle Reuben and aunt Cynthia came to town to shop.Reuben bought a suit and hat for $15.Cynthia paid as much as for her hat as Reuben did for his suit.Then she spent the rest of her money for her dress.On the way to home Cynthia called Reubens attention to the fact that his hat cost $1 more than her dress.Then uncle stated if we had divided our hat money differently such that we bought a various hats mine costing one and ½ times cost of yours then we would have spent the equal amount of money.

(i)How much the hat would cost in that case?

(ii)What is the total amount spent?

A i dont know the approach

  8.  There was a match to be held.And 100 nations were to participate in that match.It was totally an elimination match,that is if a team loses a match it must be eliminated.Find out the total number of matches played to obtain out the grand winner? A very easy 99 matches just take example with 4teams T1,T2,T3,T4 T1-T2    T1 won T2 eliminated T1-T3    T3 won and T1 eliminated T3-T4    T3 won and T4 eliminated so if there are totally four teams three matches are needed to determine the winner if there are 100 teams total 99 matches are needed.   9.There were totally 100 men.85 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married?   A.  85 are married so 15 are not married       75 have TV           25 dont have TV       85 have radio         15 dont have radio        70 have AC           30 dont have AC   so totally  100-(15+25+15+30)=15 have all   10.One more ques. was a few 11 names were provided we have to obtain who is youngest its a bit confusing draw the table and discuss u will surely get the ans English part is a bit easy and confusing also  please concentrate on it .  
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