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Techno India,Salt Lake ,30 August 2011 by TCS

Details of Techno India,Salt Lake ,30 August 2011 by TCS conducted by TCS for job interview.
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Questions



1:



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 enjoyed great success. Rohit once bought a Ferrari. It could go 2 times as fast as Mohit,s old Mercedes. If the speed of Mohit,s Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken for Rohit to drive that distance.

(a)14.88

(b)476

(c)29.75

(d)15.88



Ans: d



2:



One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Byte, 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 - Dwarf: Yesterday was one of those days when I lie. Byte: Yesterday was one of those days when I lie too. What day is it?

(a)Tuesday

(b)Sunday

(c)Thursday

(d)Monday

And: c



3:



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 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

12

72

18

6



ANS-A



4:



There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

37/38



1/2

14/19

3/4

ANS-C-14/19



5:



There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre 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 litres, second hour it has 20, and so on). If 1/32 of B,s volume is filled after 3 hours, what is the total duration required to fill it completely?



7 hours

9 hours

8 hours

10 hours



ANS-C



6:



. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. 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? if the hare starts after 1/4 th then asnwr 35



8

37.80

40

5

ANS-B





37.8



Hare starts after tortoise covers 1/5th distance .

When hare covers 1/8th of distance tortoise meets hare

So distance covered by tortoise = 1-(1/5 + 1/8)

= 27/40

Time taken by both is same

time = dist/speed

So (dist/ speed) of tortoise = (dist / speed) of hare

let speed of tortoise be t and of hare be h

27/40t = 1/8h

h = (40/(8*27) )* t = 5/27 * t

Now for the next part hare has to cover 7/8 th distance when tortoise covers 1/8 th distance

so we get

1/8t = 7/8h

h = 7t

so the factor by which h,s speed increases = 7t/ (5/27 * t)

= 37.8



7:



The pace length P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard,s walking. Calculate Bernard,s walking speed in kmph.



ANS-14.16 KMPH



8:

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 maximum value of n1(P) over all configurations P of 10 points in the plane is

ANS--10



9:

Alok and Bhanu play the following min-max game. Given the expression

N = 12 + 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 plays to their optimal strategies, the value of N at the end of the game would be

a)12

b)30

c)93

d)-69

ANS-30

if the expr is x*(y-z) then its 18

if its x-(y-z) then its 2

if its x+(y-z) then its 12

adjust accordingly



10:



A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?



All statements are false.



The odd numbered statements are true and the even numbered are false.

The even numbered statements are true and the odd numbered are false.

All statements are true.

ANS-ALL STATEMENTS false



11:



Anoop managed to draw 7 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 radius of the circles to the side of the square.

1:(2+ 6

1:(2+ 6√2)

1:(4+ 7

1:(4+ 7√3)

1

1:(2+ 7

1:(2+ 7√2)

(2+ 7√2):1



ANS-1/(2+6SQRT(2))

Let the radius of circle be r

let the side of square be a

then diagonal of square= a*sqrt(2)

This diagonal length = 12*r + 2r * sqrt(2)

(because the extreme circle,s radius is perpendicular to side of square.)

Thus we get



12*r+2r*sqrt(2)=a*sqrt(2)



r(6*sqrt(2)+2)=a



r/a=1/(6*sqrt(2)+2)



Thus ratio: r:a = 1:(6*sqrt(2)+2)



Ans: 1:(6*sqrt(2)+2)









12:



The teacher is testing a student,s proficiency in arithmetic and poses the following question.

1/3 of a number is 3 more than 1/6 of the same number. What is the number?

Can you help the student find the answer?



ANS-18



13:



On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.

Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am.

251

111

71

89

ANS-89



14:



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?

4/9

5/9

1/9

2/3

ANS-5/9



15:



40. 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

s. 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 coins the third coin from the top. Then

Alice has no winning strategy.

In order to win, Alice,s first move should be a 0-move.

In order to win, Alice,s first move can be a 0-move or a 1-move.

In order to win, Alice,s first move should be a 1-move

ANS1 move



16:



41. A circular dartboard of radius 1 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?

0.5

0.75

0.25

1

ANS-0.25



17:



. Suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?



A. All suspects are lying or the leftmost suspect is innocent.

B. All suspects are lying and the leftmost suspect is innocent.

B only

Neither A nor B

Both A and B

A only

ANS-both A and B BCOZ THERE IS NO ONE RIGHT OF THE LEFTMOST(THINK W.R.T PERSON)NOT U.THERE LIES THE TRICK.



18:



44. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

11

12

18

13

ANS-12

if odd then n/2,if even n/3,if chain then n-1 where n is no of people..



19:



45. After the typist writes 12 letters and addresses 12 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?

1/12



11/12

12/212

ANS-0

since if he by any case inserts 1 letter by mistake then all the letters will be inserted in 2 wrong addresses so its not possible to singly insert into an envelope.



20:



How many 5 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4?



Can you help Alok find the answer?

3125

500

375

625

ANS-3125



no divisible by 4 if its last 2 digits is divisible by 4 so we find 5 such numbers 12,24,44,32,52....so the last 2 digits are fixed...and the remaining 3 digits can be formed by 5C1 for each digits i.e. 5.so for 3 digits 5*5*5 =625 and the last 2 digits 5 is possible so 625*5==3125.



21:

10 people meet and shake hands. The maximum number of handshakes possible if there is to be no "cycle" of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ......, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ......, {ak-1, ak}, {ak, a1} shake hands).

9

6

7

8

ANS-9

n-1



22:



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?

54

192

64

256

ANS-192

v ve simple way to solve tih kinda f quest,n

first yu find d value of n frm quest 1000==>so n=4

nd baes=8 formula s

( n-1)*(base)*(n-2)



23:



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 * √ (t - 8) for t ≥ 8

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 8mm. How many years back did the solar blast occur?

24

16

ANS-24



24:



52. Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.

The diameter of the coins should be at least 64mm and not exceed 512mm.

Given a coin, the diameter of the next larger coin is at least 50% greater.

The diameter of the coin must always be an integer.

You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?

ANS-6



25:



A greengrocer was selling apple at a penny each, chickoos at 2 for a penny and peanuts 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. What did each child get?

1 apple, 3 chickoos, 2 peanuts

1 apple, 2 chickoos, 2 peanuts

1 apple, 2 chickoos, 1 peanut

1 apple, 1 chickoo, 1 peanut



Ans: 1 apple,2 chickoos,1 peanut



26:



68. A hunter leaves his cabin early in the morning and walks one mile due south. Here he sees a bear and starts chasing it for one mile due east before he is able to shoot the bear. After shooting the bear, he drags it one mile due north back to his cabin where he started that morning. What color is the bear?

White

Black

ANS-POLAR BEAR(WHITE)



27:



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?

900

800

488

500



ans:488



28:



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?

12

15

10

13



29:



There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively? (1 of_______)?

ANS-1/32

probability that a sound out of two sounds is produced is 1/2

therefore, probability of producing same sound is

(1/2)*(1/2)*(1/2)*(1/2)*(1/2)=1/32



30:



There are 5 materials to make a perfume: Lilac, Balsalmic, Lemon, Woody aNd Mimosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsalmic go together. Woody and Minosaic go together, Woody and balsalmic never go together. Lemon can be added with any material. All of the following combinations are possible to make a perfume EXCEPT:

1) Balsalmic and Lilac

2) Woody and Lemon

3) Mimosaic and Woody

4) Minosac and Lilac

ans 4



31:



A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. what will be the area of the square made from the same rope?

280.56 sqcm



32:



A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony?

ANS:20KMPH



33:



: We all know that Aryabhatta is the greatest mathematician who belong to India. When his daughter Mayabati was in her teen age he discovered a problem. At that the time the age of Mayabati is a prime number, let that age is a . After some years her age becomes b. then Arya Bhatta was able to solve that problem wit the help of he daughter Mayabati. If a-b=5 & product of a & b is 26 then what is the sum of two squares?



a-b=5

a*b=26

sum of two squares = a^2 + b^2

formula : (a-b)^2 = a^2 + b^2 - 2ab

(a-b)^2 + 2ab = a^2 + b^2

5^2 + (2*26) = 77



34:



On Tuesday college parking palace have only 4wheelers and bicycles, total no of wheels was 182, then what is the possible no of bicycles?

a) 20, b)19, c) 18, d)17

ans 17

formula 2*x+4*y=182 here y=4 den 2x+8=192 now see the options and find out the answer



35:



Simple question bt big one on average age.sth like a,b,c weigheted separately 1st a,b,c ,then a& b,then b&c ,then c&a at last abc,the last weight was 167,then what will be the avg weight of the 7 weight?

ans-a+b+c =167 ;

total wt of 7 weighings = a + b + c+ (a+ b) + (b+c) + (c+a) + (a+b+c)

= 4(a+b+c)

so avg of 7 weighs = 167*4/7 = 95.43 approx







I solved 35 out of 35 and i was selected.I was confident i have previously solved all of this problems.



1st sept,2011

same venue

I was called for interview



I entered

I:Sit

me:Thanks you sir



I:so tell me about your hobbies

me:told



I:Explain your project

me:I handled the database part so i told him,he asked me several questions and was satisfied.



I:gave me a simple Sql query

me:solved it



I:Asked me about LIFO and FIFO and implement it with a program

me:Did it



I:Gave me a pattern

1

2 3

4 5

me:solved it



I:Asked me the what is structure and its difference with union

me:told



I:Do you know JAVA?

me:yes

but didnt ask me any questions



I:Do you know Unix?

me:yes



I:How do u see how many processes are currently on by a unix command?

me:told



I:Do you know Networking?

me:yes



I:What is authentication protocol?

me:told



I:What is backup LAN and user LAN?

me:told

he seemed to be very impressed



I:do you have any questions??

me:I asked about GNDM or global network delivery model and SEI capability maturity level 5 tcs is the world,s 1st company to achieve it



I:he explained

I got no questions of HR my interview was over in 50 minutes.

then i told thank you sir before going he offered me a pakora i had it we had a chat about some hollywood movies which i have given in my C.V as hobbies

then i left



Got our results on 8Th sept and i was selected....my joy had no bounds

From our college 343 were selected.



if you have any prob feel free to contact me i will mail you any placement paper...

my mail address:-sarbajitdutta35@gmail.com

phone-7679394508



after 2 days i also got selected in ACCENTURE....from our college 117 were selected.

so guys never lose hope and work hard....remember hard work never goes unpaid...!!!