TCS  Placement Paper   Candidates Experiences   Bishnupur, West Bengal-03 Nov 2011

#### TCS  Placement Paper   Candidates Experiences   Bishnupur, West Bengal-03 Nov 2011

• Posted by  FreshersWorld
7 Jan, 2012

`Hi, myself Naba Kumar paul. Im a student of Mallabhum Institute of Technology, Bishnupur, West Bengal.We had campussing on 4th and 5th nov,2011. TCS. I got selected. Out of 265 students only 160 were able to clear apti.. and finally only 63 students were able to crack the interview. I belong to CSE. Im sharing my whole apti paper and interview with you. Hope it will help you a lot..Apti:1. Alok and Bhanu play the following min-max game. Given the expression N = 19 + X * (Y - Z), where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be O  100 O  019O  -62 O  37(ans)2. Achilles was the son of the nymph Thetis and Peleus, the king of the Myrmidons. Zeus and Poseidon had been rivals for the hand of Thetis until Prometheus, the fire-bringer, warned Zeus of a prophecy that Thetis would bear a son greater than his father. For this reason, the two gods withdrew their pursuit, and had her wed Peleus. The following statement is another interesting prophecy about the ages of two childen of Zeus that would hold true at some time during the lifetime of the children. 4 years ago, Athena's age was twice Helen's age. 4 years hence, Athena's age will be 4/3 times the age of Helen. Find Athena's present age in binary numbers during the time that the statement holds true. O  100 O  1001  O  101 O  1100(ans)3. A man has some socks in his drawer - 18 identical blue, 24 identical red, and 22 identical black. The lights are out and it is totally dark. How many socks must he take out to make sure he has a pair of each colour? O  32 O  48 (ans)O  42 O  344. Recent reports have suggested that sportsmen with decreased metabolic rates perform better in certain sports. After reading one such report, Jordan, a sportsperson from Arlington decides to undergo a rigorous physical training program for 3 months, where he performs Yoga for 3 hours, walks for 2 hours and swims for 1 hour each day. He says: I began my training on a Wednesday in a prime number month of 2008. I lost 1% of my original weight within the first 30 days. In the next two months combined, I lost 1 Kg. If he walks at 6 mph over a certain journey and walks back over the same route at 8 mph at an altitude of 200 meters, what is his average speed for the journey? O  48.00 O  6.86 (ans)O  3.43 O  7.005. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 31, the number of points equidistant from all the 3 lines is O  3 O  4 (ans)O  0O  16. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of \$7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate. Suppose 13 such programmers take 13 minutes to write 13 lines of code in total. How many programmers would it take to write 91 lines of code in 91 minutes? O  13 (ans)O  7 O  91 O  207. A sheet of paper has statements numbered from 1 to 16. For all values of n from 1 to 16, statement n says 'At least n of the statements on this sheet are false.' Which statements are true and which are false? O The even numbered statements are true and the odd numbered are false. O The odd numbered statements are true and the even numbered are false. O The first half of the statements are true and the last half statements are false. (ans)O The first half of the statements are false and the last half statements are true.8. A police car starts chasing a fugitive in a BMW 3 hours after the BMW escapes from the scene of crime at 10 AM. The BMW drives for 10 Km through the crowded roads of Shanghai and then drives into a highway, where the traffic allows vehicles to move twice as fast. After a while, the police car finally catches up with the BMW after a chase that lasted 4 hours. By this time the moon was up in the sky for 4 hours. If the average speed of the police car is 83 kmph, then the average speed of the BMW is ?????.. kmph. O  35.57                                             O  47.43(ans)O  48.43                                             O  11.86 9. 19 people (a1, a2, ?.. , a19) are invited to a party. The host and the hostess shake hands with each invitee and also with each other. The invitees shake hands in a circular fashion, i.e. the pairs (a1, a2), (a2, a3), ??..,(a18, a19), (a19, a1) shake hands. So, in all there are 58 handshakes. Let S be a set of people such that every pair in S shake hands. The size of S is at most O  2 O  3 O  1 O  4(ans)10. A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted? O  500 O  488 (ans)O  900 O  80011. Anoop managed to draw 5 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side.Find the ratio of the the side of the square to radius of the circles. You may assume that square root of 2 is 1.4O  12.50 :1		O  07.60 :1(ans)O  10.50 :1O  09.00 :112. A circular dashboard of radius 2.0 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?O  .25(ans)O  .75O  1.00O  .5013. After the typist writes 40 letters and addresses 40 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope'?O  1/40O  1/40!O  1- 1/40O  0(ans)14. There are two water tanks A and B, A is much smaller than B. 'While water fills at the rate of one litre everyhour in A,it gets filled up like 10, 20, 40, 80, 160 .. in tank B. (At the end of first hour, B has 10 litres,second hour it has 20, and so on). If tank B is 1/16 filled after 11 hours, what is the total duration required to fill it completely'?O   4 hoursO  15 hours(ans)O  14 hoursO  16 hours15. 9 people meet and shake hands. The maximum number of handshalces possible ifthere is to be no 'cycle? of handshakes is (A cycle of handshakes is a sequence of people al, a2, ..., ak, k>2 such that the pairs {a1,a2}, {a2,a3}, ..., {a(k?1), ak}, {ak,a1} shake hands).O  6O  5O  8(ans)O  916. The teacher is testing a student's proficiency in arithmetic and poses the following question: 1/2 of a number is 5 more than 1/6 of the same number. What is the number? Can you help the student find the answer?O  14O  16O  3O  15(ans17.9 years ago I was five times as old as my eldest son Today I am 3 times his age. HOW old am I now? Express my age in binary numbers. O 10100 O 10010 O 110110 (ans)O 11011118. A group of friends Tom, Tina, Dick, Diana, Harry, and Harriet go out to a fair three hundred meters from the McDonalds which is five KMs away. They see a weighing machine and decide to have some fun. However the girls refuse to step on the weighing machine. So Tom, Dick and Harry, weigh themselves in a particular order. First Tom, Dick, and Harry weigh themselves individually and then Tom and Dick, Dick and Harry, Tom and Harry and then Tom, Dick and Harry together respectively. The recorded weight for the last measure is 161 kgs. The average of all the 7 measures is: O 92.00 (ans)O 115.00 O 207.00 O 53.6719.The Thousand Pillar Temple of Hyderabad was built by the Kakatiyans of Chalukyan dynasty in the 12th century. Each pillar has carvings made of black monolithic rocks of basalt which are polished to give it a brilliant look. One sunny morning, three tourists visit the temple. Sandeep is taller than Richie and taller than two of the thousand pillars, and Jithesh is shorter than Sandeep and three pillars. Which of the following statements would be most accurate? O Richie is taller than Sithesh O Richie is shorter than Sithesh O Sithesh is as tall as Richie O lt's impossible to tell(ans)20. A greengrocer was selling orange at a penny each, olives at 2 for a penny and pears at 3 for a penny. A father spent 7p and got the same amount of each type of fruit for each of his three children: Jane: Joe: and Jill. Jane is three years older than Jill and Joe is exactly half the age of Jane and Jill together. What did each child get? O 1 orange :2 olive's': 1 pear (ans)O 1 orange :2 olive's': 2 pear's' O 1 orange :3 olive's': 2 pear's' O 1 orange :1 olive, 1 pear21.A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters: at 10 meters per minute. However, the toy train is defective and it now produces only two different tunes at random. What are the odds that the toy train produces 5 consecutive music tunes of the some type (1 in ????.) ? O 25.00 O 5.00 O 32.00 O 16.00(ans)22.The difference between the ages of two of my three grandchildren is 3. My eldest grandchild is three times older than the age of my youngest grandchild and my eldest grandchild's age is two years more than the ages of my two youngest grandchildren added together. How old is my eldest grandchild? O 12 O 10 O 15 (ans)O 1323.A seamstress buys a certain amount of Gingham cloth which comes in rolls that are exactly 56 inches wide. She has also bought a certain length of Seersucker cloth which comes as individual pieces that are exactly a yard long and 35 inches wide. The seamstress first focuses on the Gingham roll and discovers that she has 139 yards of Gingham: and she wants to divide the Gingham into 139 lengths of 1 yard each. She wants to have twice as many pieces of Seeksucker as she does of the Gingham. It takes her 8 seconds to cut each length of Gingham. Working non-stop: how long (in seconds) will it take her to cut all 139 pieces? O 1104.00 (ans)O 1111.00 O 1112.00 O 1113.0024.The New York Public Library is one of the world's greatest repositories of books and journals. It has a beautiful reading room facing Manhattan's famous Fifth Avenue. lathe reading room are 10 reading spots. Each reading spot consists of a round table with 4 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 10 readers: how many reading spots are empty? O 5 O 3 O 6 (ans)O 425.One day Rapunzel meets Pal and Rat in the Disneyland. She knows that Pal lies on Mondays: Tuesdays and Wednesdays, and tells the truth on the other days of the week. Rat. on the other hand: lies on Thursdays, Fridays and Saturdays: but tells the truth on the other days of the week. Now they make the following statements to Rapunzel - Pal: Yesterday was one of those days when I lie. Rat: Yesterday was one of those days when I lie too. What day is it? O  Thursday (ans)O  Sunday O  Tuesday O  Monday26.A car manufacturer located 29 Km due west of chennai produces 250 carslour for export to Europe. However there is a problem in the paintshop and the lights have gone out. It seems that the cars can be painted only red and blue and nobody has noticed this except you as the cars come out of the testing area onto NH4: at random. What are the odds that 6 consecutive cars of the same colour will come through the test area at any one time(1 in ------------) ?O 32.00 (ans)O 128.00 O  64.00 O 36.0027.The great Indian mathematician Bhaskaracharya formulated this problem in the twelfth century for his teenaged prime number aged daughter Lilavati. He also authored the eponymous Lilavati, a compendium of mathematical puzzles, in which the number of problems that use this formula is the sum of two prime numbers. The product of the two prime numbers is smaller than the total number of problems in the Lilavati. Now if the difference of any two numbers is 6 and their product is 18. what is the sum of their squares? O 72.00 (ans)O 54.00 O 42.00 O 44.0028.Archimedes is believed to have fallen asleep in his bathtub where he had interesting insights into the properties of liquids. Archimedes Principle states that the buoyant force on a submerged object is equal to the weight of the liquid that is displaced by the object. If the density of the liquid is 10 kg,m^3 and the density of the object is 20kg,m.'3. What is the volume occupied by 522 kg of the liquid. O 52.20 cc O 5220.00 cc O 52.20 cubic meter (ans)522/10O 5220.00 cubic meter29.The dynamics of crowd behaviour are hard to study because usually people are not reliable witnesses of their own behaviour. Now consider 4 people standing in the queue of a supermarket. You want to predict their behaviour based on their age group. You get to know from the supermarket records that their average age, 2 years ago was 42 years. After a while, another person joins the queue and the present average of all the 5 is 42 years. The present age of the last person in the queue is: O 42.00 O 44.00 O 40.00 O 34.00(ans)30.In how many ways can 4 letters be posted in 2 post boxes, if any number of letters can be posted in all of the two post boxes? O 8 O 24 O 2P4 O 4C2(I wasn?t sure about this question. I didn?t ans it) 31.How many lines can be drawn so that each contains two points of a set of nine points, and no three of the points of the set are collinear? O 36 (ans)9c2O 48 O 72 O 5432.In the year 2002.Britain is reported to have had 4.3m closed-circuit television (CCTV) cameras - one for every 14 people in the country. This scrutiny is supposed to deter and detect crime. In one criminal case, the police intrigue two suspects. The ratio between the ages of the two suspects is 6: 5 and the sum of their ages is 77 years. After how many years will the ratio be 8:7? O 13.00   O 14.00(ans)    O 7.00    O 8.0033.Alzheimer Disease is the leading cause of dementia, a set of symptoms that includes loss of memory, judgment and reasoning, and changes in mood and behavior. It is most common in elders but is not caused by ageing. In studying the brains of Alzheimer and non-Alzheimer patients it has been found that those diagnosed with Alzheimers have less brain tissue compared to non-Alzheimer patients. The results show a correlation between a decrease of brain tissues with an increase in abnormal protein deposits in the brain. Therefore one hypothesis for the cause of Alzheimers is due to the abnormal protein deposits. Which of the following weakens the conclusion above? O Autopsies of Alzheimer patients have shown that deterioration of intellectual faculties is often associated with emotional disturbance and personality changes. O The brains of Alzheimer patients have been found to produce an unusual substance which decomposes protein. (ans)O People who are in their sixties are more likely to develop Alzheimers than any other age group.O Laboratory research shows that when people age, their brain tissues degenerate.34. If a person make a profit of 15% on his selling price and finally his profit becomes \$45.5 then what was his cost price? A)108 b) 257.83 (ans) c) 250.6 d) 190.8035.Fill dirt or till soil is usually the sub-soil removed from an excavation site and is used to level a place or create artificial mounds. The average density is 2 gm cu cm of sub-soil removed from a site and if it weighs 900 kg, how many hemispherical pits each of volume 140 cubic cm: can this sub-soil fill? O 3214.00 (ans)O 3213.00 O 3215.00 O 1607.00That was all about apti.. next day we had interview.. our reporting time was at 11 a.m. n my call came at 5 p.m.Me: may I come in sir?In: yes, plz come. St down.(I got only technical qstns.. no hr qstns were asked)In: your fav subjects.Me: told.What is normalization.Me: told with an example.1nf, nf.Me: told.In: write down the data structure for linked list.Me: wrote it down.In: swap two character using pointer.Me: told.It was a 25 mnt long interview n I was the last candidate to that particular interviewer.I came out of the room. Aftr 30 mnts that prsn came out. He askd me some qstns about my school and some about my hostel life n all. At the end of conversation he said: ?Don?t worry, some good things are waiting for you?. Aftr long 2 hours waiting the result were declared. And I got the job?.be prepare well with apti. In during interview always be confident what u are saying.. kepp eye contact with interviewer.  Be polite always and keep a smiling face always. Best of Luck for you all?. Will see you in TCS. `

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