TCS  Placement Paper   Aptitude - Numerical   GNDEC, Ludhiana-24 Dec 2010

TCS  Placement Paper   Aptitude - Numerical   GNDEC, Ludhiana-24 Dec 2010


  • Posted by  FreshersWorld 
    7 Jan, 2012

    Hi Guys,

    TCS has arrived our college on 24th December 2010. There were four rounds.
     
    1-Aptitude test(only numericals and reasoning questions,no english)
    2-Technical interview
    3-Management round(it can be an interview or GD)
    4-HR round
      
    Aptitude test(35 questions were asked,negative marking was there)
    1-(1/3) of a number is 5 more than the (1/6) of the same number?find the no.
    a) 6 b)36 c)30 d)72

    2-1. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?
    a) 26 B)25 c)5 d)27

     
    Solution: for every hour water in tank in B is doubled,
    Let the duration to fill the tank B is x hours.
    x/32 part of water in tank of B is filled in 21 hours,
    Next hour it is doubled so,
     
    2*(x/32) part  i.e (x/16) part  is filled in 22 hours,
    Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours,
     
    (x/2)th part is filled in 25 hours, (x)th part is filled in 26 hours
     
    So answer is 26 hours.
     
    3-1. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?
    a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph
    Solution: Average speed=(2*x*y)/(x+y)

    4-A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?
    a) 2000 b) 5000 c) 3000 d) 7000

    5-1. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2
    a)8 b)none c)16 d)15

    Solution: substitute x=4y in above we can find solution

    6-1. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?
    a) 16 b) 56 c) 112 d) 28

    Solution: 8c2

    7-find x in the series
    3, 15, x, 51, 53,159,161

    8-A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
    a) 50 b) 8 c) 60 d) 42

    9-n a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?
    a) 4 boys and 3 girls b) 3 boys and 4 girls c) 2 boys and 5 girls d) 5 boys and 2 girls

    10-Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?
    a) 257 b) 256 c) 72 d) 255

    11-There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?
    a) 6 b) 21 c) 28 d) 7

    12-On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*v (t-9) for t = 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
    a) 17 b) 21.25 c) 12.25 d) 14.05
    Solution: radius =7mm, then diameter 2*radius, substitude diameter the in above equation you will get answer
    a) 17 b) 34 c) 54 d) 112

    13-1) A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?
    a) North b) South c) East d) West

    14-Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.
    a) 20.72 b) 3.5 c) 238.25 d) 6.18
    Solution: Speed of Ferrari =4*35=140,time=distance/velocity

    15-1) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ?Which statements are true and which are false?
    a) The even numbered statements are true and the odd numbered are false.
    b) The odd numbered statements are true and the even numbered are false.
    c) The first 35 statements are true and the last 35 are false.
    d) The first 35 statements are false and the last 35 are false.

    16-1) A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find distance b/w starting ending point.
    a) 54 b) 27 c) 81 d) 67

    17-If there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisoned can?
    a) 3 b) 2 c) 6 d) 1

    18-Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side.

    The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is
    a)3   b)5   c) 2   d)1

    19-Alok and Bhanu play the following min-max game. Given the expression
    N = 9 + 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
    a) 0 b) 27 c) 18 d) 20
    The Q's  concept is same but the equation of N's is changing.

    20-Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.

    Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then

    a) In order to win, Alice's first move should be a 1-move.
    b) In order to win, Alice's first move should be a 0-move.
    c) In order to win, Alice's first move can be a 0-move or a 1-move.
    d) Alice has no winning strategy.

    21-For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?
    a)1/9    b)4/9    c)5/9    d)2/3

    22-A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40,
    statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

    a)The even numbered statements are true and the odd numbered are false.
    b)The first 26 statements are false and the rest are true.
    c)The first 13 statements are true and the rest are false.
    d)The odd numbered statements are true and the even numbered are false.

    23-Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true?

    a) In order to win, Alok should remove O1 on his first turn.
    b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.
    c) In order to win, Alok should remove O2 on his first turn.
    d) Alok has no winning strategy.

    24-On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula
    d = 4 * sqrt (t ? 8)for t = 8
    Where the represents the diameter in mm and t the number of years since the solar blast.
    Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter?

    25-Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?
    a) 16 b) 6 c) 10 d) 60

    26-The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?
    a) 54 b) 64 c) 265 d) 192

    27-Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?
    a) 37.80  b)8  c) 40  d) 5
    Ans: 37.80

    28-Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
    a)1  b)3  c)4  d)0

    29-How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?
    a)57 b)56 c)59 d)58

    30-Amrith told to Anand in front of a Photo that ?He is the son of my father?s son?.Find who is in the picture if amrith have no brothers and sisters.
    a) Amrith himself b) Amrith?s Uncle c) Amrith?s Father d) Amrith?s son

    31-A lady had fine gloves and hats. 25 blue, 7 red and 9 gey. She had to select a pair among them. But there was no light so she had to select in darkness the correct pair with a glove and a hat. Therefore how many combinations of same color she can select?

    32-The difference between two no is 9 and the product of the two is 14.What is the square of their sum?
    a) 120 b) 130 c) 137 d) 145

    33-0 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?
    a) 22 b) 20 c) 10 d) none

    34-In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?
    a) 4 boys and 3 girls b) 3 boys and 4 girls c) 2 boys and 5 girls d) 5 boys and 2 girls

    35-A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?
    a) 1 in 16 B) 1 in 4 c) 1 in 8 d) 1 in 32

    tcs pattern has changed..but almost all the questions are available on freshersworld....i hav also prepared from freshersworld..and all the questions i got in the paper are already on freshersworld...so prepare well from old papers.....but the latest one not from those papers which include antonyms,synonyms,etc..this paper help u a lot and hop u ll get most of the questions from here...but solve other papers also especially the pattern 1,2,...like paper available on freshersworld....gud luck...and my heartiest thanks to freshersworld coz without it i cud not be able to crack it,, :)


    2-ROUND- TECHNICAL INTERVIEW
    me-may i come in sir?
    interviewer-yes come in.

    me-gud evening sir
    intrviewer-gud evening

    me-merry chrsms sir
    intrviewr-same to u

    interviewer-tell me about ur self
    me-told(show that ur nature is positive and u r optimistic person)

    interviewer-tell me the meaning of ur name
    me-told(keep a smile on ur face throughout the interview,hide ur nervousness)

    interviewer-what is ur favourite subject
    me-i told expert system...but he asked me to choose any core subject..so please be prepare with core subjects of ur branch...i prepared for dbms,dspm.oops...
    try to prepare OS ,DC also

    interviewer-what is dbms?
    me-told

    interviewer-what is the difference between file and dbms?which is better and why
    me-told

    interviewer-what is a view?
    me-told

    interviewer-what are pointers?
    me-told

    interviewer-write a program in C++ to implement push and pop algorithms using pointers
    me-deep sigh...tough one...i didnt know it..but i told sir dat i can try......i managed to write it and den he asked me to explain it....i explained it

    interviewer-any queries
    me-asked( always asked somethng...it shows dat u hav interst in the comapny)

    me-sir my flaws during the interview
    interviewer-he told me that i hav not practised much..

    2-ROUND
    but i cracked the technical interview and go for GD.topic was love marriage v/s arrange mariage

    3-HR round(NEVER ARGUE WITH THE INTERVIEWER)
    (DONT GIVE BRIEF ANSWERS IN THE HR...ELABORATE THE ANSWERS..BUT DUNT OVER ELABORATE...but try to be brief in the technical interview)
    1-tell me about ur self.ur capabilties
    2-why TCS?
    3-why should we hire u ?
    4-why should we not hire u ?
    5-ready to sign a bond?
    6-ready to relocate anywhere?what if u dun select u ?
    7-any queries? (do ask somethn,otherwise it ll giv a negative impact )

    it is very mandatory to reveal out ur self confidence in the interview....even if u r not so good at technical try to show ur communication skills and show dat u r confident and ready to work...IF THEY ASK U FOR IT-IS THEN SAY YES..OTHERWISE THEY LL THROW U OUT.

     
    Good luck Guys.
     
    Hope to see you in TCS
     

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