Sunday, December 7, 2014

Infosys Aptitude campus paper

Below is the Infosys solved campus placement papers. This free question bank helps you in clearing Infosys written test as well as interview. In this section we will see Infosys Aptitude questions, Infosys technical questions, Infosys verbal question, Infosys HR interview questions. You can easily clear interview as well as written test of Infosys by solving this previous year campus paper. Fresher's interview question and latest campus placement paper is available as well as solutions are available.

Chapter – 5                                         Tests – 1
  1. Find the numbers of diagonals and triangles formed in a decagon.
  2. Out of 18 points in a plane, no three are in straight line except five which are collinear. How many straight lines can be formed?
    1. 16c2 – 5c2+1
    2. 18c2 – 6c8+1
    3. 18c2 – 5c2+1
    4. none of these
  3. Arjit being a party wants to hold as many parties as possible among his 20 friends. However, his father has warned him that he will be financing his parties under the following conditions only:
    1. The invitees have to be among his 20 best friends
    2. He cannot call the same set of friends to a party more than once
    3. The number of invitees to every party have to be the same
    4. Given these constraints, Arjit wants to hold the maximum number of parties. How many friends should he invite to each party
    5. 11
    6. 8
    7. 10
    8. 12
  4. There are 10 subjects in the school day at St. Vincent’s High School, but the 6th standard students have only 5 periods in a day. In how many ways can we form a time-table for the day for the 6th standard students?
  1. A class perfect goes to meet the principal every week. His class has 30 people besides him. If he has to take groups of 3 every time he goes to the principal, in how many weeks will he be able to go to the principal without repeating the group of same 3 which accompanies him?
  2. several teams take part in a competition, each of which must play one game with all the other teams. How many teams took part in the competition if they played 45 games in all?
    1. 5
    2. 10
    3. 15
    4. 20
  3. There are V lines parallel to the x-axis and ‘W’ lines paralled to y-axis. How many rectangles can be formed with the intersection of these lines?
  4. Find the number of numbers that can be formed using all the digits 1,2,3,4,3,2,1 only. Once so that the odd digits occupy odd places only?
  5. There are 7 pairs of black shoes and 5 pairs of white shoes. They all are put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
    1. 12
    2. 13
    3. 7
    4. 18
  6. On a triangle ABC, on the side AB 5 points are marked, 6 points are marked on the side BC and 3 points are marked on the side AC (none of the points being the vertex of the triangle). How many triangles can be made by using these points?
    1. 90
    2. 333
    3. 328
    4. none of these
  7. The number of circles that can be drawn out of 10 points of which 7 are collinear is
    1. 130
    2. 85
    3. 45
    4. cannot be determined
  8. In how many ways a cricketer can score 200 runs with fours and sixes only?
    1. 13
    2. 17
    3. 19
    4. 18
  9. There are 20 people among whom 2 are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the 2 sisters?
    1. 18!
    2. 2!.19!
    3. 19!
    4. 2!18!
  10. how many rectangles can be formed out of a chessboard?
    1. 204
    2. 1230
    3. 1740
    4. 1296
  11. 5 boys and 3 girls are sitting in a row of 8 seats. In how many ways can they be seated so that not all girls sit side by side?
    1. 36000
    2. 45000
    3. 24000
    4. none of these
  12. There are 5 bottles of sherry and each have their respective caps. If you are asked to put the correct cap to the correct bottle then how many ways are 3 so that not a single cap is no the correct bottle?
  13. In how many ways can 8 boys and 3 girls be made to sit in a row, so that a boy is seated at each end and no 2 girls sit together?
    1. 120(7!)
    2. 210(8!)
    3. 180(3!)
    4. 140(11!)
  14. In his wardrobe, Timothy has three trousers. One of them is black, the second is blue and the third is brown. He also has 4 shirts. One of them is black and the other 3 are white. He opens his wardrobe in the dark and picks up one up shirt – trouser pair without examining the color. What is the likelihood that both the shirts as well as the trouser are non – black?
    1. 1/12
    2. ½
    3. ¼
    4. 1/3
  15. Coomar is given the digits 2, 4, 9 and asked to make a 3 – digit number using these digits, without repeating any of them. What is the likelihood that the number he makes will be greater than 450 but lesser than 900?
    1. 1/12
    2. 1/6
    3. ¼
    4. 1/3
  16. 3 identical  dice are rolled. The probability that the same number will appear on each of them is
    1. 1/6
    2. 1/36
    3. 1/216
    4. 3/28
  17. What is the ratio of the number of 3 letter words to the number of four – letter words that can be formed from the letters of the word ‘TERMINAL’ using at least one vowel in each?
    1. 12:17
    2. 23:130
    3. 28:97
    4. 2:15
  18. Identical spherical balls are spread on a table top so as to form on equilateral triangle. How many balls are needed so that a side of the equilateral triangle contains n balls?
  1. Ram and Shyam stand in a line for tickets with 10 other people. What is the probability that there are 3 people in between them?
    1. 8/38
    2. 4/33
    3. 16/55
    4. 8/55
  2. There are 5 lines in a plane. The maximum number of points at which they may intersect is
    1. 6
    2. 8
    3. 10
    4. none of these
  3. In a room there are 3 lamp holders and there are 12 bulls of which 5 are defective. If 3 bulbs are selected at random to be put into the holders, what is the probability that the room is lighted?
    1. 21/22
    2. 1/22
    3. 1/18
    4. 17/18
  4. An integer X is chosen at random from the numbers 1 to 50. The probability that X + 336/X ≤ 50 is
    1. 7/10
    2. 17/25
    3. 19/50
    4. 13/50
  5. For the BCCI, a selection committee is to be chosen consisting of 5 ex-cricketers. Now there are 10 representatives from four zones. It has further been decided that if Kapil Dev is selected, Sunil Gavaskar will not be selected and vice versa. In how many ways can this be done?
    1. 140
    2. 112
    3. 196
    4. 56
  6. 2 real numbers X and Y are chosen at random and such that │X│≤3 and │Y│≤5. What is the probability of the fraction X/Y being positive?
    1. 0.25
    2. 0.5
    3. 0.75
    4. 0.66
  7. In CAMPUS exam paper there are 3 sections, each containing 5 questions? A candidate has to solve 5, choosing at least one from each section. The number of ways he can choose is
    1. 2500
    2. 2250
    3. 2750
    4. 3250
  8. A committee is to be formed comprising of 7 members such that there is a majority of men and at least 1 woman in every committee. The shortlist consists of 9 men and 6 women. In how many ways can this be done?
    1. 3724
    2. 3630
    3. 3526
    4. 4914
  9. To form a single cube, 27 identical wooden cubes are arranged. They are held together tightly and the cube so formed is pained black on all faces. When the paint has dried up, the smaller cubes are detached and one of them is picked up at random. What is the probability that the cube that has been picked up will be painted black on 2 of its sides?
    1. 4/9
    2. 8/27
    3. 2/9
    4. 1/3
For Q 32 & 33: Answer the questions based on the following information:
There are 6 boys and 4 girls sitting for a photo session. They were posing for the photograph standing in 2 rows one behind the other. There were 5 people sitting in the front row and 5 standing in the black row.
  1. If the boys were divided equally among the front and back rows, in many ways can the photo sessions be arranged?
  1. In how many ways could the photos be taken such that no two boys and no two girls are standing or sitting together?
  2. There are 4 married couples in a cube. The number of ways of choosing a committee of 3 members so that no couple appears on the committee is
    1. 4
    2. 8
    3. 16
    4. 32
  3. A bag contains 80 envelops of which 30 are airmail and the rest are ordinary. Out of the 80 envelops in the bags, 48 are stamped and the rest are unstamped. There are 20 unstamped ordinary envelops in the bag. If one envelope is chosen at random from the bag, then the probability that this is an unstamped airmail envelope is
    1. 12/80
    2. 18/80
    3. 20/80
    4. 30/80
  4. A bag contains 5 tickets numbered 1, 2,3,4,5. In a lottery, one ticket was drawn at random from the bag and was kept in the bag after noting down its number. Then a second ticket was drawn at random and its number was noted. Let X and Y be the two numbers so observed. Then the probability that X+Y equal 7 is given by
    1. 1/25
    2. 1/20
    3. 4/25
    4. 4/20
  5. 4 boxes of 4 different colors are to be wrapped up in 4 sheets of similar colors. Find the probability that every box is wrapped in a sheet of its own color?
    1. 1/18
    2. 1/24
    3. 1/54
    4. 1/216
  6. Sethi and Wilson participate in the finals of a snooker tournament consisting of 9 games. The winner is decided by the method of ‘Race to 5’ i.e., the first person to win 5 games is declared the winner. In how many ways can the winner be decided?
    1. 270
    2. 62
    3. 252
    4. 76
  7. The eccentric scientist, who lives at the end of our block, showed me his latest invention, a time – machine. To start the time – machine, one must press, in any order, exactly seven buttons, each of which is of different color. 3 of the buttons are circular, 2 are triangular and the rest are square in shape. The time – machine would travel in the past, if any square button is pressed before the first triangular button to be pressed. Else, it would travel into the future. In how many distinct ways can I start the time – machine and travel in the future, given that I can press only one button at a time?
    1. 3080
    2. 4180
    3. 2520
    4. 1880
  8. One red flag, three white flags and 2 blue flags are arraged in a line such that,
    1. No 2 adjacent flags are of the same color.
    2. The flags at the 2 ends of the line are of different colors.
In how many different ways can the flags be arranged?
    1. 6
    2. 4
    3. 10
    4. 2
  1. A test has 2 sections, the first section consisting of 3 questions and the second section consisting of four questions. Further, each question in the first question has three answer choices and each question in the second section has two answer choices. In many different ways can a student answer the test?
    1. 432
    2. 5184
    3. 1296
    4. 972
  2. Each face of a cubical die is numbered with a distinct number from among the first six odd numbers, such that the sum of the two numbers on any pair of opposite side is 12. if 10 such dice are thrown simultaneously, then find the probability that the same of the numbers that turn up is exactly 55.
  1. A box contains 6 red balls, 7 green balls and 5 blue balls. Each ball is of a different size. One ball is selected and it is found to be red. What is the probability that it is the smallest red ball?
    1. 1/18
    2. 1/3
    3. 1/6
    4. 2/3
  2. In a group, 3 are 15 men and 12 women. The men exchange roses among themselves, and the women also do the same. ( an exchange is one person giving another a rose, and the other then giving another rose to the first person.) each woman gives one rose to only one man, and each man gives one rose to only one women. How many rose are exchanged?
    1. 300
    2. 369
    3. 394
    4. 342
  3. What is the probability that a four – digit number formed by using 3,9,2 and 7 without repetition is divisible by 33?
    1. ½
    2. 1/3
    3. ¼
    4. 1/6
  4. 3 men and 3 women are sitting at a round table, each women being flanked by 2 men and vice versa. How many different seating arrangements are possible such that in no arrangement, every man is flanked by the same women?
    1. 12
    2. 720
    3. 6
    4. 120
  5. A cube is divided into four equal cubes. Each of these cubes is further sub divided into four equal cubes. If the original cube’s sides are painted blue, then what is the probability that exactly two sides of a small cube is painted blue?
    1. 3/8
    2. 1/16
    3. ¼
    4. 3/4
  6. What is the probability of finding exactly 33 multiples of 3 when 100 consecutives natural numbers are selected?
    1. 1/3
    2. 2/3
    3. 1
    4. none of these
  7. A machine produces 10 units of an article in a day of which 4 are defective. The quality inspector allows releases of the products if he finds none of the 3 units chosen by him at a random to be defective. What is the probability of quality inspector allowing the release?
    1. 1/5
    2. 6/10
    3. 1/6
    4. 5/6
  8. A growth of investigation took a fair sample of 1972 children from general population and found that there are 1000 boys and 972 girls. If the investigators claim that their research is so accurate that the sex of a new born child can be predicted based on the ratio of the sample of the population, then what is the expectation in terms of the probability that a new child born will be a girl?
    1. 243/250
    2. 250/257
    3. 9/10
    4. 243/493

1 comment:

  1. Dear Sir/Ma'am,

    can u provide the solution of the CHAPER 5 TEST1 paper if availabel.