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Infosys 2006 Papeprs | Nature

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Father's age is three years more than three times the son's age. After three years, father's age will be ten years more than twice the son's age. What is the father's present age. 33 years. (2 marks) Find the values of each of the alphabets. NOON SOON +MOON ---------JUNE 9326 (2 marks) There are 20 poles with a constant distance between each pole A car takes 24 second to reach the 12th pole. How much will it take to reach the last pole. 41.45 seconds (2 marks) Let the distance between two pol
  Father's age is three years more than three times the son's age. After three years,father's age will be ten years more than twice the son's age. What is the father'spresent age. 33 years. (2 marks) Find the values of each of the alphabets. N O O NS O O N+ M O O N---------- J U N E9326 (2 marks) There are 20 poles with a constant distance between each pole A car takes 24second to reach the 12th pole. How much will it take to reach the last pole. 41.45 seconds (2 marks)Let the distance between two poles = xHence 11x:24::19x:? A car is travelling at a uniform speed. The driver sees a milestone showing a 2-digitnumber. After travelling for an hour the driver sees another milestone with thesame digits in reverse order. After another hour the driver sees another milestonecontaining the same two digits. What is the average speed of the driver. 45 kmph (4 marks) The minute and the hour hand of a watch meet every 65 minutes. How much doesthe watch lose or gain time and by how much? Gains; 5/11 minutes (4 marks) Ram, Shyam and Gumnaam are friends. Ram is a widower and lives alone and hissister takes care of him. Shyam is a bachelor and his niece cooks his food and looksafter his house. Gumnaam is married to Gita and lives in large house in the sametown. Gita gives the idea that all of them could stay together in the house and sharemonthly expenses equally. During their first month of living together, each personcontributed Rs.25. At the end of the month, it was found that Rs 92 was theexpense so the remaining amount was distributed equally among everyone. Thedistribution was such that everyone received a whole number of Rupees. How muchdid each person receive? Ans. Rs 2 (4 marks)(Hint: Ram's sister, Shyam's niece and Gumnaam's wife are the same person) At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. Howlong does it tick at 12'o clock. 66 sec. (2 marks) Three friends divided some bullets equally. After all of them shot 4 bullets the totalnumber of bullets remaining is equal to the bullets each had after division. Find thesrcinal number divided.  18 (2 marks)Initially . x x xNow x-4 x-4 x-4Equation is 3x-12 = x A ship went on a voyage. After it had travelled 180 miles a plane started with 10times the speed of the ship. Find the distance when they meet from starting point. 200miles. (2 marks)Distance travelled by plane = 1/10 distance travelled by ship + 180 Complete the Table given below:Three football teams are there. Given below is the group table. Fill in the x's Played Won Lost Draw Goals For Goals AgainstA 2 2 x x x 1B 2 x x 1 2 4C 2 x x x 3 7 Ans : The filled table is given below (4 marks)Played Won Lost Draw Goals For Goals AgainstA 2 2 0 0 7 1B 2 0 1 1 2 4C 2 0 1 1 3 7  There are 3 societies A, B, C. A lent cars to B and C as many as they had already.After some time B gave as many tractors to A and C as many as they have. Aftersometime c did the same thing. At the end of this transaction each one of them had24. Find the cars each srcinally had. A had 39 cars, B had 21 cars & C had 12 cars (4 marks) There N stations on a railroad. After adding X stations on the rail route 46 additionaltickets have to be printed. Find N and X. x=2 and N=11Let initially, N(N-1) = tAfter adding, (N+X)(N+X-1) = t+46By trail and error method (4 marks) Given that April 1 is Tuesday. A, B, C are 3 persons told that their farewell party wasonA - May 8, ThursdayB - May 10,tuesdayC - June 5, FridayOut of A, B, C only one made a completely true statement concerning date, day andmonthThe other told two one told the day right and the other the date right..What is correct date, month, day. Ans: B - (May 10) SUNDAYC - June 6 (Friday). (5 marks) The Bulls, Pacers, Lakers and Jazz ran for a contest. Anup, Sujit, John made thefollowing statements regarding results. Anup said either Bulls or Jazz will definitely winSujit said he is confident that Bulls will not win John said he is confident that neither Jazz nor Lakers will win When the result came it was found that only one of the above three had made acorrect statement. Who has made the correct statement and who has won thecontest. Sujit; Lakers (5marks ) Five people A ,B ,C ,D ,E are related to each other. Four of them make one truestatement each as follows. (i) B is my father's brother.(ii) E is my mother-in-law.(iii)C is my son-in-law's brother(iv)A is my brother's wife. (i) D(ii) B(iii) E(iv) C (10 marks) Mr.Mathurs jewels have been stolen from his bank locker . The bank has lockers of 12 people which are arranged in an array of 3 rows and 4 columns like: 1 2 3 45 6 7 89 10 11 12The locker belonging to JONES was to the right of BLACK'S locker and directlyabove MILLAR'S.BOOTH'S locker was directly above MILLAR'S.SMITH'S locker was also above GRAY's (though not directly).GREEN'S locker was directly below SMITH'S.WILSON'S locker was between that of DAVIS and BOOTH.MILLAR'S locker was on the bottom row directly to the right of HERD'S.WHITE'S locker was on the bottom right hand corner in the same column asBOOTH'S. Which box belonged to Mr.Mathurs? Box number 9 belongs to Mr.Mathurs. Fifty minutes ago if it was four times as many minutes past three o'clock, how manyminutes is it to six o'clock?  Twenty six minutes. If a clock takes 7seconds to strike 7, how long will the same clock take to strike 10?  The clock strikes for the first time at the start and takes 7 seconds for 6 intervals-thus forone interval time taken=7/6.   Therefore, for 10 seconds there are 9 intervals and time taken is 9*7/6=10 and 1/2seconds. Three criminals were arrested for shop lifting. However, when interrogated only onetold the truth in both his statements, while the other two each told one truestatement and one lie. The statements were: ALBERT :(a)Chander passed the merchandise. (b)Bruce created the diversion.BRUCE :(a)Albert passed the merchandise. (b)I created the diversion.CLIVE :(a)I took the goods out of the shop. (b)Bruce passed them over. Albert passed the goods. Bruce created the diversion..Clive took the goods out of theshop. Everyday in his business a merchant had to weigh amounts from 1 kg to 121 kgs, tothe nearest kg. What are the minimum number of weight required and how heavyshould they be?  The minimum number is 5 and they should weigh 1,3,9,27 and 81 kgs. A hotel has 10 stores. Which floor is above the floor below the floor, below the floorabove the floor, below the floor above the fifth.  The sixth floor. Seven members sat around a table for three days for a conference. The member'snames were Abhishek, Amol, Ankur, Anurag, Bhuwan, Vasu and Vikram. Themeetings were chaired by Vikram. On the first evening members sat around thetable alphabetically. On the following two nights, Vikram arranged the seating sothat he could have Abhishek as near to him as possible and absent minded Vasu asfar away as he could. On no evening did any person have sitting next to him aperson who had previously been his neighbor. How did Vikram manage to seateverybody to the best advantage on the second and third evenings? Second evening: Vikram, Ankur, Abhishek, Amol, Vasu, Anurag and Bhuwan. Third evening :Vikram, Anurag, Abhishek, Vasu, Bhuwan, Ankur, Amol. Two trains start from stations A and B spaced 50 kms apart at the same time andspeed. As the trains start, a bird flies from one train towards the other and onreaching the second train, it flies back to the first train. This is repeated till thetrains collide. If the speed of the trains is 25 km/h and that of the bird is 100km/h.How much did the bird travel till the collision. 100 kms. Four prisoners escape from a prison. The prisoners, Mr East, Mr West, Mr South, Mr.North head towards different directions after escaping. The following information of their escape was supplied: The escape routes were The North Road, South Road,East Road and West Road. None of the prisoners took the road which was their namesake.Mr. East did not take the South RoadMr. West did not the South Road.The West Road was not taken by Mr. East What road did each of the prisoners take to make their escape? Mr. East took the North RoadMr. West took the East RoadMr. North took the South RoadMr. South took the West Road. Complete the series: 5, 20, 24, 6, 2, 8, ? 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12). Replace each letter by a digit. Each letter must be represented by the same digitand no beginning letter of a word can be 0. O N EO N EO N EO N E-------T E N 0 =1, N = 8 ,E = 2, T = 7 Ann, Boobie, Cathy and Dave are at their monthly business meeting. Theiroccupations are author, biologist, chemist and doctor, but not necessarily in thatorder. Dave just told the biologist that Cathy was on her way with doughnuts.Ann is sitting across from the doctor and next to the chemist. The doctor wasthinking that Boobie was a goofy name for parent's to choose, but didn't sayanything. What is each person's occupation? Since Dave spoke to the biologist and Ann sat next to the chemist and across the doctor,  Cathy must be the author and Ann the biologist. The doctor didn't speak, but David did,so Bobbie is the doctor and Dave the chemist. Sometime after 10:00 PM a murder took place. A witness claimed that the clockmust have stopped at the time of the shooting. It was later found that the positionof both the hands were the same but their positions had interchanged. Tell the timeof the shooting (both actual and claimed).  Time of shooting = 11:54 PMClaimed Time = 10:59 PM Next number in the series is 1 , 2 , 4 , 13 , 31 , 112 , ?  224.No number has digits more than 4. All of them are 1 , 2, 4, 8 , 16 , 32 , 64 converted tonumbers in base 5 Shahrukh speaks truth only in the morning and lies in the afternoon, whereasSalman speaks truth only in the afternoon. A says that B is Shahrukh. Is it morningor afternoon and who is A - Shahrukh or Salman. Afternoon ; A is Salman. Two trains starting at same time, one from Bangalore to Mysore and other inopposite direction arrive at their destination 1 hr and 4 hours respectively afterpassing each other. How much faster is one train from other? Ans: Twice There are 6 volumes of books on a rack kept in order ( ie vol.1, vol. 2 and so on ).Give the position after the following changes were noticed. All books have been changedVol.5 was directly to the right of Vol.2Vol.4 has Vol.6 to its left and both weren't at Vol.3's placeVol.1 has Vol.3 on right and Vol.5 on leftAn even numbered volume is at Vol.5's place Find the order in which the books are kept now. Ans: 2 , 5 , 1 , 3 , 6 , 4 I bought a car with a peculiar 5 digit numbered license plate which on reversingcould still be read. On reversing value is increased by 78633.Whats the srcinalnumber if all digits were different? Only 0 1 6 8 and 9 can be read upside down. So on rearranging these digits we get theanswer as 10968 Supposing a clock takes 7 seconds to strike 7. How much long will it take to strike10? 10 1/2 seconds. A man collects cigarette stubs and makes one full cigarette with every 8 stubs. If hegets 64 stubs how many full cigarettes can he smoke. Ans: 8+1=9 A soldier looses his way in a thick jungle. At random he walks from his camp butmathematically in an interesting fashion. First he walks one mile East then half mileto North. Then 1/4 mile to West, then 1/8 mile to South and so on making a loop.Finally how far he is from his camp and in which direction. Ans: Distance travelled in north and south directions1/2 - 1/8 + 1/32 - 1/128 + 1/512 - and so on= 1/2/((1-(-1/4))Similarly in east and west directions1- 1/4 + 1/16 - 1/64 + 1/256 - and so on= 1/(( 1- ( - 1/4))Add both the answers How can 1000000000 be written as a product of two factors neither of themcontaining zeros  Ans: 2 power 9 x 5 power 9 Conversation between two mathematicians: First : I have three children. The product of their ages is 36. If you sum theirages, it is exactly same as my neighbor's door number on my left.The second mathematician verifies the door number and says that it is notsufficient.
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