Placement Papers: Infosys Paper 263

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  1. Find a five digit number subject to following conditions:
    1. It contains 2 prime no digits.
    2. 3rd digit is the lagest.
    3. 1st digit = (3rd digit-1) .
  2. c. Sum of 4th digit and 5th digit is less than 1st digit.
  3. d. Value of the 5th digit lies between the value of 1st digit and 2nd digit, 5th digit is one half of
  4. the 4th digit.
  5. Ans: 71842
  6. 1,2, 3,4 digits are available. How many number of 4 digited numbers which are divisible by 4 (There should be no repetition of digits in the numbers) . can be formed? Ans: 6 numbers.
  7. A hill of 440 yards is there. Two competitors JACK and JILL go up the hill, first JACK reaches the topmost and immediatly starts back and meet JILL 20 yards from the topmost point. Finally JACK reaches the starting point 0.5 minutes earler than JILL. Speed while coming down is 1.5 times the speed of going up. Find the time taken by JACK for whole journey (880 yards) ? Ans: 6.3 minutes.
  8. A merchant in the last day sells 2 lamps for ₹ 12 price. He finds that he has got 25% gain on one and 20% lost on the other. Did he loose or gain overall? If so how much? Ans: 60 paise Loss.
  9. 4 persons are there caledd JOHN, JACOB, PITER, and WILLIAMS. 4 laungages are there named ENGLISH, ITALIAN, GERMAN, FRENCH. Conditions:
    1. There is no common language for all.
    2. Except one language, no language is spoken by more than two.
    3. One can know either German or FRENCH but not both.
    4. John can՚t speak ENGLISH But John can act as interpreter between JACOB and PITER. Jacob knows GERMAN but he can tailk with WILLIAM who doesn՚t know a word of GERMAN.
    5. No common language between JOHN, PITER, and WILLIAMS.
  10. Which two languages does each person speaks?
  11. Hint: ITALIAN IS SPOKEN BY THREE PERSONS (This hint is given in Question paper)
  12. 5 couples are there. MEN: L, M, N, O, P. WOMEN: S, T, U, V, W. 10 seats are in one row. Odd numberd seats are reserved for MEN only Like that many conditions are there. This problem is from GRE-BARRONS BOOK.
  13. I participated in a race. th of those who are before me are equal to th of those behind me. What were the total number of contestants in the race?
  14. Find the 3 digit number. Third digit is square root of first digit. Second digit is sum of first and third digits. Find the number.
  15. This problem is of time and work type. Some A and some B are able to produce so many tors in so many hours (for example 10 A and 20 B are able to produce 30 tors per hour) . Like this one more sentence was given. We have to find out the rate of working of A and B in tors/hour.
  16. A and B play a game of dice between them. The dice consists of colors on their faces instead of numbers. A wins if both dice show same color. B wins if both dice show different colors. One dice consists of 1 red and 5 blue. What must be the color in the faces of other dice (i.e.. . how many blue and how many red?) . Chances of winning for A and B are even.
  17. A girl has 55 marbles. She arranges them in n rows. The nth row consists of n marbles, the (n − 1) th row consists of (n − 1) marbles and so on. What are the number of marbles in nth row?
  18. This question is of analogy type. Some sentences regarding tastes of people to poetry are given like all who like A՚s Poem, like the poems of B. Like this 7 or 8 sentences were given. Questions were based on this.
  19. This question is also of analogy type. Four persons are there A, B, C, D. Each of the four persons own either P, Q, R, S. 10 sentences using if clause were given. We have to find out which belongs to whom.
  20. Every station in N railroad issues every other station՚s ticket. Some stations are added. Now they have to issue 46 more tickets. Give the No. Of stations after and before added.
  21. There was a race between 3 people. Me, Doug and Anne. When I take 21 steps the distance covered is equal to Doug՚s 24 steps and Anne՚s 28 steps. I take 6 steps to every 7 steps of Doug and 8 steps of Anne. Who won the race?
  22. How many bearers will an explorer need for a 6 day march if each man can carry the food stuff of one man for 4 days.
  23. Consider the following statements: Albert: Dave did it. Dave: Tony did it. Gug: I did not do it. Tony: Dave lied when he said that i did it.
    1. If only one out of all above statements is true, who did it?
    2. If only one out of all above statements is false, who did it?
  24. A contribution of ₹ 500 was raisedfrom 500 people. The fee was as follows: Men: ₹ 3.00 each Women: ₹ 2.00 each Childern: 0.48 each If number of women is more than number of men, how many childern are there?
  25. Alice and Liu had some berries. The total of Alice՚s berries and square of number of berries with Liu is 62. The total of Liu՚s berries and square of number of berries with Alice is 176. How many berries does each of them have?
  26. A rope ladder was left down from a ship. 12 steps of the ladder were exposed at 10: 00 am. The queen who was going to visit the ship, said she would visit at 1: 00 pm as she would have to climb lesser number of steps then. The tide in the sea increases from morning to afternoon at the rate of 1.2 meters per hour. The distance between any 2 steps of the ladder is 0.4 mts. How many steps will the queen have to climb?
  27. 5 hunters Doe, Deer, Hare, Boarand Row kill 5 animals. Each hunter kills an animal that does not correspond to his name. Also each hunter misses a different animal which again does not correspond to his name.
    1. The Deer is killed by the hunter, known by the name of the animal killed by Boar.
    2. Doe is killed by the hunter, known by name of animal missed by Hare.
    3. The Deer was disappointed to kill only a Hare and missed the Roe.
  28. A local forecast service has accuracy of says No rain, and Meteriological service having accuracy of says Rain. If Preference is as no rain what is the chance of rain?
  29. Solve these
    1. 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 _ _
    2. 2 4 16 512 _
  30. Write the next elements in the series.
  31. A Man is sitting in the last coach of train could not find a seat, so he starts walking to the front coach, he walks for 5 min and reaches front coach. Not finding a seat he walks back to last coach and when he reaches there, train had completed 5 miles. What is the speed of the train.
  32. The Old car of Mary requires tyres to be changed after each 24000 km. If she wants to go for 42000 km journey then how many minimum number of tyres she will need.
  33. A coin is so unbalanced that it may come both heads in 2 tosses as it may come tails in a single toss. What is the probabality of getting a head in a single toss.
  34. A pen, pencil and eraser together cost $ 1.00. If 2E2P, and 3P > 4E then what a single pen will cost?
  35. A local forecast service has accuracy of says No rain, and Meteriological service having accuracy of says Rain. If Preference is as no rain what is the chance of rain?
  36. Sherlock holmes thrwated the plan to kidnapp Mrs mary when they were questioned Mercy and his two associated shipy and rany. When they were telling the story one of them told one thing wrong and other true, the other told both true, and the last told both false. Examining the following tell the roles played by each Mercy.
  37. Tom asked kim did you like the stamps? She said yes, me and rob too liked them. Kim again said that rob got 3 more than he would have got, if i would have kept 2 more than, what he got. Tom asked how many u gave Rob? She replied 2 more than what I got. Tell, how many stamps each rob and kim got?
  38. The virgo club members used to meet every week to play cards. Each time they used to seat around a round table and for their memory they used all the possiblecombinations of postions each for a single time only. Can you tell for how many times they met? Essays Asked If you are given a chance to change a thing in you hometown, what would you change? Give examples why you want to do so. Television is creating a communication gap among young generation.
  39. A person needs 6 steps to cover a distance of one slab. If he increases his foot length (step length) by 3 inches he needs only 5 steps to cover the slabs length. What is the length of the each slab. Ans: 31 inches.
  40. There are 19 red balls and one black ball. Ten balls are put in one jar and the remaining 10 are put in another jar. What is the possibility that the black is in the right jar. Ans: .
  41. There is one lily in the pond on 1st june. There are two in the pond on 2nd june. There are four on 3rd june and so on. The pond is full with lilies by the end of the june.
    1. On which date the pond is half full? Ans: 29th . -the june has 30 days.
    2. If we start with 2 lilies on 1st june when will be the pond be full with lilies.
  42. Ans: 29th June.
  43. A lorry starts from Banglore to Mysore at 6.00 A. M, 7.00 A. M, 8.00 am________10 pm. Similarly one another starts from Mysore to Banglore at 6.00 am, 7.00 am, 8.00 am … 10.00pm. A lorry takes 9 hours to travel from Banglore to Mysore and vice versa.
    1. A lorry which has started at 6.00 am will cross how many lorries. Ans: 10.
    2. A lorry which had started at 6.00pm will cross how many lorries. Ans: 14.
  44. A person meets a train at a railway station coming daily at a particular time. One day he is late by 25 minutes, and he meets the train 5 k. m. Before the station. If his speed is 12 kmph, what is the speed of the train. Ans: 60 kmph. Refer--Shakuntala Devi Book.
  45. A theif steals half the total no of loaves of bread plus loaf from a backery. A second theif steals half the remaing no of loaves plus loaf and so on. After the 5th theif has stolen there are no more loaves left in the backery. What was the total no of loaves did the backery have at the biggining. Ans: 31.
  46. A gardener plants 100 meters towards east, next 100 meters towards north, next 100 meters towards west. 98 meters towards east, 96 meters towards north and 96 meters towards west, 94 meters towards south. And 94 meters towards east and so on. If a person walks between the trees what is the total distance travelled by him before he reaches the center. Ans: ________ …
  47. There are four women and 3 men. They play bridge one night. Find widow among them. Rules:
    1. wife and husband are never partners.
    2. Wife and husand never play more than one game. One night they played four games as follows:
  48. Ans: Refer Problem 21, Mind Teasers by Summers.
  49. From a vessel, rd of the liquid evaporates on the first day. On the second day th of the remaining liquid evaporates. What fraction of the volume is present at the end of the second day. Ans: 50% .
  50. There is a 4 inch cube painted on all sides. This is cut down into of 1 inch cubes. What is the no of cubes which have no pointed sides? Ans: 8.
  51. Sam and Mala have a conversation. Sam says I am certainly not over 40. Mala says I am 38 and you are atleast 5 years older than me. Now, Sam says you are atleast 39. All the statements by the two are false. How old are they really? Ans: Mala = 38 yrs; Sam = 41 yrs.
  52. Ram Singh goes to his office in the city, every day from his suburban house. His driver Gangaram drops him at the railway station in the morning and picks him up in the evening. Every evening Ram Singh reaches the station at 5 o՚clock. Gangaram also reaches at the same time. One day Ram Singh started early from his office and came to the station at 4 o՚clock. Not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back house, half an hour early. How much time did Ram Singh walk?
  53. In a railway station, there are two trains going. One in the harbour line and one in the main line, each having a frequency of 10 minutes. The main line service starts at 5 o՚clock and the harbour line starts at 5.02A. M. A man goes to the station every day to catch the first train that comes. What is the probability of the man catching the first train? Ans: 0.8
  54. A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But

whenever it rained

in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11 mornings and 12

afternoons. How

many days did they stay there totally?

Ans: 18