ifosys aptitude

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INFOSYS TEST 1: 1) X^1/3 -X^1/9 = 60.then find X? (3marks) 2) There was a cycle race going on. 1/5 th of those in front of a person and 5/6 of those behind him gives the total number of participants. How many people took part in the race? (3 marks). ( 4 marks) 3) Samantha younger than jack and older than Louise, Louise older than Edward and younger than Jim and some more conditions are given. Then who is the youngest person? (5 marks) 4) A man starts from xyz city &drive a constant speed. After some time he sees a milestone with two digits written on it. After he drives for an hour, he sees another milestone with the same digits, but in reversed order. After another hour of juniorny,he sees another milestone with original digits with zero b/w them.Wht was the speed of the car if milestone show in KM? (3 marks) 5) A five digit no whose third digit is one greater than the sum of the 1 st two digits and the 3 rd digit is double the 4 th digit and 4 th digit is double the 5 th digit and 2 nd digit is greater than the 1 st by 5 nd if we multiply 4 th nd 5 th digit we get 3 rd digit. Then the no is? (6 marks)

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QUESTIONS ON APPTITUDE TEST:

INFOSYS TEST 1: 1) X^1/3 -X^1/9 = 60.then find X? (3marks) 2) There was a cycle race going on. 1/5th of those in front of a person and 5/6 of those behind him gives the total number of participants. How many people took part in the race? (3 marks).( 4 marks) 3) Samantha younger than jack and older than Louise, Louise older than Edward and younger than Jim and some more conditions are given. Then who is the youngest person?(5 marks) 4) A man starts from xyz city &drive a constant speed. After some time he sees a milestone with two digits written on it. After he drives for an hour, he sees another milestone with the same digits, but in reversed order. After another hour of juniorny,he sees another milestone with original digits with zero b/w them.Wht was the speed of the car if milestone show in KM? (3 marks) 5) A five digit no whose third digit is one greater than the sum of the 1st two digits and the 3rd digit is double the 4th digit and 4th digit is double the 5th digit and 2nd digit is greater than the 1st by 5 nd if we multiply 4th nd 5th digit we get 3rd digit. Then the no is? (6 marks) 6) There are 100 countries are playing in knockout football match. At every match one team which loss the game is omitted from the tournment.hw many matches have to conduct to decide the winner? (4 marks) 7) There r five persons w,x,,y,z & v five languages are English,French,Spanish,Italian,Portuguese.conditions are Spanish is the mostly commonly spoken langauage.3 of them speak Portuguese.x&z can talk in Spanish but when y arrives they start talking in English..x&y speak in italin.Out of them one person speaks 1 language,1 person speaks 2 langauage,1 persons speaks 3 language ,1 persons speak 4 language. 1 person speaks 5 languages &so on. I could not remember entire qsn.but qsn is like this. And there 4 qsns from these data? (8 marks) 8) These is very easy qsn from cubes. the surface of the cube is painted with red colour.By six straight cuts 27 cubes are formed then. a)hw many cubes are there with 0 side red color? b)1 side red color? c)2 sides red color? d)3 sides red color? (8 marks) 9) 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. Then uncle said if we had divided our hat money differently such that we bought a different hats mine costing 1 and 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?

(5 marks) 10) 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? (4 marks)

Infosys paper 2: on 16th September 2006 at Madurai

1. In a store, the positions of Buyer, Floorwalker, Manager, Cashier and Clerk which are held by A,B,C,D,E.Floorwalker and Clerk have their lunch from 11:30 to 12:30 while all others have their lunch from 12:30 - 1:30 Mrs A and Mrs C are sisters.A and B bring there own lunch and play cribbage during there lunch hours.D has nothing to do with E, ever since D once returning from lunch early found E gone and reported him to manager.Clerk and the cashier share a bachelors flat.Find A,B,C,Ds occupation???(8 marks)2. A large cube has all its faces painted red. It is cut into 27 small equal cubes by 6 cuts. Find out how many of them have(a)3 red faces(b)2 red faces(c) 1 red face(d) no red face

(8 marks) 3. There are three triplets to a couple: Annie, Fanny and Danny. The couple finds dirty footprints on the floor of kitchen. All of them have same foot size, so they ask them as to who did it. To which they replied:Annie: I didnt do itFanny: Danny did itDanny: Fanny is lyingOut of three kids, only one of them is saying truth.Whose footprints were on the floor???(6 marks) 4. In a game of cricket azahar scored 76 less than dravid. and sachin scored 72 more than Azahar .the total runs made by Azahar and robin are 94.robin scored 26 more than zadeja. dravid scored 26 more than robin. What is the score? (4 marks) 5. find a taxi no. which leaves one as remainder with 2,3,4,5,6 and is divisible by 11.(3 marks) 6. someone is driving a car.. sees a mile stone with a two digit no. on it (km) after one hour sees a mile stone with the same digits but in reversed order again after one hour he sees the no. in original order but with a 0 in the middle.. find the speed of the car..(4 marks) 7.A number which is divisible by 3,4,5,7 & is less than 500. (question s asked in some other way) (3 marks) 8.Two trains start simultaneously from station X and station Y and heads towards each other.Every one hour a train leaves from both stations. if 5 hours is the time to reach the other station, how many trains will u cross if u r travelling in any one direction?(4 marks)9.A lady went for shopping,first she spents half of the money plus Rs5 at a butcher shop.second she spents half of the remaining plus Rs2 at a dairy shop and then again half of the remaining at a bakery and then she was left with Rs5 .Find how many money she had with her initially? (4 marks)10.Find out next term in the series: (6 marks) a) 3,6,13,26,33,66, ---- b) 364,361,19,16,4,1, ----- INFOSYS PAPER: 3

ON 24th SEPTEMBER 2006 BANGALORE 1.A person gives a book for binding, but the binder cuts the book in such a way that he cuts away the numbers on the pages. So now the person sits down to write the page numbers. What he observes is that the book had 61 times 3s. How many pages does the book contain? 2.Jarius and Kylar are playing the game. If Jarius wins, then he wins twice as many games as Kylar. If Jarius loses, then Kylar wins as the same number of games that Jarius wins. How many do Jarius and Kylar play before this match? 3.Two trains travel from NewYork to Washington and the travel takes 5 hours journey time. Trains leave from Washington for every hour and an half hour and the trains leave from NewYork every hour. If the train leaves from Washington, Then how many trains from NewYork cross this train on its way? 4.A man travels a roller coaster. He says 1/3rd of the children are before me and 3/4th of the children behind me. How many of them are there? 5. An artist has exactly seven paintings ---, T, U, V, W, X, Y, and Z -- from which she must choose exactly five to be in an exhibit. Any combination is acceptable provided it meets the following conditions: * If T is chosen, X cannot be chosen * If U is chosen, Y must also be chosen * If V is chosen, X must also be chosen 1) Which one of the following is an acceptable combination of paintings for inclusion in the exhibit? A. T, U, V, X, Y B. T, U, V, Y, Z C. T, W, X, Y, Z D. U, V, W, Y, Z E. U, V, W, X, Y 2) If painting T is chosen to be among the paintings included in the exhibit which one of the following cannot be chosen to be among the paintings included in the exhibit? A. U B. V C. W D. Y E. Z 3) Which one of the following substitutions can the artist always make without violating restrictions affecting the combination of paintings given that the painting mentioned first was not, and the painting mentioned first was not, and the painting mentioned second was, originally going to be chosen ? A. T replaces V B. U replaces Y C. V replaces X D. W replaces Y E. Z replaces W 4) If the artist chooses painting V to be included among the paintings in the exhibit, which one of the following must be true of that combination of paintings? A. T is not chosen B. Y is not chosen C. U is chosen D. W is chosen E. Z is chosen 7) Clark, Jones, Mason and Smith are 4 people. Their professions are druggist, butcher, policeman, and grocer not in the same order as their names. find their respective professions? 1) Clark and Jones are neighbours and they drive each other to work. 2) Jones earns more than mason. 3) Policeman earns more than druggist and grocer. 4) Policeman does not have druggist as a neighbour. 5) Butcher goes to his work by walk. 6) Policeman does not meet the grocer until he arrests him for exceeding the speed limit. 7) Clark beats Smith every time at bowling. (8 marks) Ans: Jones => Grocer, Clark => Druggist, Smith => Policeman, Mason => Butcher. 8. A person observes that his minutes hand hours hand coincide every 65 min. Does the watch gain or lose time? If so, how much? 9. A women asks the man about weathers. What is the temperature for last five days? She says I don remember the exact temperature, but the temperatures product was 12 and they all are different. Find the temperature? infosys paper 4:

on 10 th september 2006 at gtam college vizag

Q1). x^1/3 - x^1/9 = 60 . find the value of X. (3 marks) Q2). There are A, B, C, D, E, F students they speak one are more than one of english, itali, french, Spanish, portueges; B, C speak English. But after D joins they have Spanish as the common languageSpanish is most common languageA, B, E have French as common languageC, E has Italian as common language3 speak portuegesOut of all 1=all speaks 5 Langs, 1= speaks 4 Langs, 1= speaks 3Langs, 1= speaks 2 Langs,1= speaks 1 language? (8 marks)

then 4 questions were asked based on above data like1) A knows which languages? 4 options were given (one can easily get the answer from the above data and given options)

2) B knows how many languagesa) English, French b)English, French Spanish c)English, French, Spanish Italiand)English, French, Spanish, Italian,Portugese 3) C cant speak which language (4 options were given) 4) E can speak which languages (4 options were given) Q3) same old cubes problem (8 marks) A cube has its 6 faces painted red. It is cut by 6 straight lines into 27 smaller cubes.Find how many smaller cubes are there having: (i) 3 faces painted red. (ans : 8 ) (ii) 2faces painted red. (ans : 12 )

(iii) 1 face painted red. (ans : 6 ) (iv) 0 faces painted red (ans :1 ) Q4) 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) Q5) A man starts from XYZ city and drives a constant speed. After some time he sees a milestone with two digits written on it. after he drives for an hour, he sees another milestone with the same digits, but in reversed order. After another hour of journey, he sees another milestone with original digits but with a zero between them. What was the speed of his car if milestones show kilometers? ( 6 marks)

Q6). Uncle Reuben and Aunt Cynthia came to town for shopping. 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 their money for a new dress. On the way home Cynthia called Reubens attention to the fact that his hat cost $1 more than her dress, then she added if we had divided our hat money differently so that we bought different hats mine costing 1 and 1/2 time cost of yours then we each would have spent the same amount of money. In that case Uncle Reuben asked "how much would my hat have cost" (6 marks) Q7). A five digit no whose third digit is one greater than the sum of the first two digits, and the third digit is double the fourth digit ,and fourth digit is double the fifth digit, and second digit is greater than first digit by 5. and if we multiply fourth and fifth digit we get third digit. (5 marks) Q8)ferie younger than jack and older than louise, louise older than edward and younger than jim (some names r given in that order) Who is youngest person? U can easily solve this one by examining the conditions (3 marks) Q9) ona sacle of 100: (3 marks) 85 are married, 80 have cars, 75 have phones, and 70 have houses. How many minimum persons are married, have phone, car and houses on a scale of 100. Q10) There are 100 teams for a cricket tournament. Its a knockout tournament .The team which looses once will be out. How many matches are required to choose the winner?

INFOSYS TEST 5:

1. A software engineer returns from America. As he is fat he decided to have evening walk.....he started at 3pm. he walks along the road at 4km/hr for some time then he climbs a upward slope area at 3km/hr then downwards at the rate of 6km/hr. then back to the home through the road at 4km/hr. what is the distance he covered in one way if he reaches back home at 9pm.

2. men and lodge related questiona)1 man related to 2lodges.b)each lodge has 3 men.c)only 1 man common b/w 2 lodges

3. A child questions his father, "What is your father's age", to which the father answers "He was aged X in year X^2 (X square) ". If the context is 20th Century, What is his Date of Birth?

4. A man rides cycle for two third of the distance to be covered. then his tyre got punctured. he walks the rest of the distance and found he took twice the time for walking compared to riding. How fast he can ride compared to walk.

5. 51 teams are there and they are to play basketball matches. A team is out of the tournament if that looses 2 games. what is the maximum number of games to be played to decide one winner.

6. who was the murderer(of smith) roger,o'neil,wait the waiter poisened smith with which friend. each of the friends tells 3 stmts 1 of which is false (1 stmt of each friend is false)

7. Nalanda,Rampur, Triloknagar, Maninagar etc some conditions are given....then u have to find which has the population below 5 lakhs.. whic is not the capital 2 industrial towns,2 harbours,longitude relation,latitude relation......etc (four questions based on these)

8. Another one on A,B,C , D and E younger and older relation + occupation of each nutritionist, doctor,planner etc. find who is who ?

9. Two lamps sold for Rs.12 each profit of 25% on 1 and loss 0f 20% on other? did he gain or lose?by how much?

10. A,B,C are persons and thy r div into three groups: Sororrean [always truth] , Nororrean [always lie] and Midrorrean [alternate-but not in any order as they speak truth first of false first]--repaet from earlier papers.

INFOSYS TEST 6:1. A shopkeeper arranges his fruits in such a way that putting say either 3,or 9,or 7 apples in a row each time one apple is left. but when he puts say 11 apples in a row no apple is left.find no. of apples.

2. A problem of staircase:if i start going down, having gone down 4 steps i see x coming up.i meet x in way going down.when i had still 7 steps to go down x had gone up .find no. of steps in the staircase.condition: for each of my one step down x goes up 2 steps.

3. Problem of merrygoround.tom on a merrygoround finds that one third of people ahead of him and three fourth of people behind him is equal to the no. of people on the merrygoround.find the no. of people on the merrygoround.4. Example problem:A problem of cards .four persons sitting on a table.infront of each one of them one card is lying not having same colours on both sides.2 blue,2 red,2 green faces. each one guesses the color of unseen face of card . exactly 2 are lying.the front faces of card are red,blue,green,red respectively.find the colors of unseen faces of card.

5. five persons in a conference.a & b can communicate in english.when d joins the only coomon language of communication is spanish. a ,b,e can talk to each other in french only.exactly 3 people know portugese. the number of languages known by different persons are 1,2,3,4,5. some other similar conditions . you have to find answers to four questions based n these facts.

6. say ona sacle of 100: 85 have phones,80 cars,75 married,70 have houses. how many minimum persons are married,have phone car and houses on a scale of 100.

7. some series given 3 10 20 27 54 61 _

8. some conditions on x symbols. After one arranging one Lange sequence u can answer any qsn. I am not remember total qsn thts way I am unable to give realeason.But ans:Edward (sure) 4) At 1st milestone the distance =xy. At 2nd milestone the distance=yx This diff. will give the speed of care=xy-yx The diff. Of one number and reverse number must be divisible by 9. Frm this we have to check all multiples of 9 which satisfy all conditions in the problem.45 will do tht condition.. Suppose at first the distance =16km At 2nd ms distance=16+45=61km At 3rd ms distance=61+45=106km Ans:45KM/hr (sure) 5) LET US take last no=x Then 4th digit=2x And 5th digit=4x 3rd digit=4th digit.5th digit 4x=x.2x 4x=2x^2 x=2 4th=4 3rd=8 1st+2nd>3rd fm condition let take 1st=a a+a+5>8 fm condition

a=1 2nd=6 Ans: 16842(sure) 6) At every match one team eliminated fm the tournment. Thre r 100 teams. So 99 matches r required to eliminating 99 teams for decide winner. Ans: 99 matches (sure) 7) This is little bit of lengthy but easy if u analyze. I am unable to solu. this now bcoz I am not remember total qsn. Draw a table against persons versus language then u can get the ans.Fm this table u can attempt all qsns. 8) U rember these formulas,.if no.cubes in one side=n

a).no of .3 sides color cubes=no.of corners(n-2)^0=8

b)no. of 2 sides color cubes=no.of edgesx(n-2)^1=12x(n-2)^1

c)no.of 1 side color cubes =no.of facesx(n-2)^2=6(n-2)^2

d)no. of no color cubes= (n-2)^3 in our pblm. N=3 (27=3x3x3) Ans: a) 1 e)6 f)12 g)8 (sure) 9) reuben hat cost=x suit cost=y

x + y= 15 synthin hat cost a=y synthin dress cost =b hats cost ratio=x:a=3/2:1=x:y=3:2 so x=3x15/5=9 y=15-9=6 a=6,b=9 Ans:1) hat cost=9 2)total=30 10) those who dnt married =100-85=15 those who dnt hve T.V =100-75=25 those who do not heve radio =100-85=15 those who dnt hve A.C =100-70=30 total no. of men those who do not have any one of the above=85 no. of men those who r under all of the above=100-85=15 INFOSYS SOLUTION: 2 1.A manager, B cashier, C floorwalker, D clerk, E buyer 2.a) 8 b)12 c)6 d)1 3.Danny is saying truth and Annies footprint 4.338 5.121 6.45 m/hr (the no. is 16, 61, 106) 7.420 (LCM of 3,4,5,7) 8.9 trains 9.Rs 64 10. a)73 ( 3*2 = 6 6+7 = 13 13*2 =26 26+7 = 33 33*2 = 66 66+7 = 73 ) b)1 (1*1 = 1 1+3 = 4 4*4 = 16 16+3 = 19 19*19 = 361 361+3 = 364 ) INFOSYS SOLUTION:3Sol 1: The number 3 in only one time 3,13,23,30,31,32,34,35,36,37,38,39,43,53,63,73,83,93, The number 3 in two times 33,133,133. So up to 300 pages will come (61 times). Ans: 300 Pages Sol 2: Case (i): If Jarius wins, J + 1 = 2K ------------------(1) Case (ii): If Jarius lose, K + 1 = J -------------------(2) Solve these two equations, You will get Jarius wins = 3 & Kylar wins = 2. Ans: Jarius wins = 3 & Kylar wins = 2.

Sol 3: Let the current time is 6 AM. Then It will meet on its way 6 5 = 1AM. 6 + 5 = 11AM. So the train will meet 2.30AM, 3AM, 3.30AM 10.30AM.But it cant meet 11AM train because that particular train is ready to start its journey in the station. So totally 19 trains. Ans: 19 trains. Sol 4: Let the total number of children is X. [(X 1) / 3] + [3(X - 1) / 4] = X Solve the above equation and will get X = 13. Ans: 13 Children

Sol 5: 1 --- E; 2 --- B; 3 --- E; 4 --- A. (Please mention the reason)

Sol 7: Jones => Grocer, Clark => Druggist, Smith => Policeman, Mason => Butcher. Sol 8: 5 / 11 minutes gains because every 5 minutes gains for 11 gaps.

Sol 9: The product of the temperature is 12. GCM of 12 is, 1,2,3,4,6. In this case, 4 & 6 cant come because if such big numbers come, then the product can increase. So the other numbers are1, 2, 3. These are possible. Still we have to find two more temperature. We know that temperature may come in (-) ve value (i.e.) degree Celsius. So the product of 1, 2, 3 is 6. Therefore, -2, -1 will add these numbers. Ans: -2, -1, 1, 2, 3.

INFOSYS SOLUTION :4

Ans 1 : write x^1/3 as x^1/9. x^1/9. x^1/9 .

Now x^1/9(x^2/9 - 1) =60 Now use trial and error method. Then x= 4^9 .

Ans 4 : 31Approach:Let the total number of participants be XSo, [(x-1)/5 + 5(x-1)/6] = X

Ans 5: 45 kmph Let speed of car be x kmph Let at first he sees digits as abthat is the value of number is: 10a+b After traveling for one hour, he sees the number as bathus its value is 10b+a After traveling another hour,he sees the number as a0bthus value is 100a+b Now, 10a+b+x=10b+a..which gives x=9b-9a 10b+a+x=100a+b..which gives x=99a-9b Equating we get, b=6a since a and b are digits, a=1 and b=6 and thus x=45

Ans 6:. Uncles hat costs $9 (total money was $29)(not sure)check it

Ans 7:16842 take the no as abcde work it out using the given conditions (very easy)

Ans 8: EDWARD very simple we have 2 club all conditions around 6, then we will get youngest person

Ans 9: 15 (not sure check it out)

Ans 10: 99 .INFOSYS SOLUTION 5:

1. Ans: 12 km (one way )( total distance:12* 2 = 24 km)

2. Ans: 6 men and 4lodges

3. Ans: 1892

4. Ans: V(riding)=4*V(walking)[4 times]

5. Ans:101 matches

6. Ans: Roger was the murderer.(not sure)

9. Ans:60 paise loss10. Ans:A:midrorean B: nororrean C:sororrean

INFOSYS SOLUTION 6:3. ans: take l.c.m. of earlier three nos. add 1 if divided by 11 fine else multiply by 2 add 1 divide by 11 .if not divisible keep on repeating. i got ans. in 2 steps.

4. ans:22solution:say total no. of steps x2(x-11)==xx="

5. ans:13since merry gorund is circular so3/4x+1/3x==x+1.

7. ans .162some other seriestrick: find suare root then add some number etc.

9. ans:-1,1,2,-2,3

INFOSYS SOLUTION 7:

11. 15

12. 100 each

5. :45km/hr

6. 51.25 (conversion A=(7/3)B-70)

8. 16

9. Rs 42/-

INFOSYS SOLUTION 8:1. 150, 50 (check it out)

2. a. Which of the following combination has less than 5 lakhs population.

Ans: Nalanda and Rampur (100% Sure)

b. The town which is a harbour, industrial town and capital Ans: Thrilothika (100% Sure)

c. Which of the following combination have more than 50 lakhs population. Ans: Thrilothika and solanpur (100% Sure)

d. The town that is not a capital Ans: Nalanda (100% Sure)4. 18 Clerks (12 + 6) (100% Sure)

5. Red8. 20 hours9. Robinson