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Hi Friends,

I am M. Swarna kumar  Bapatla Engineering College. TCS requitment is conducted on 27-11-10 to 29-11-10.

It consis of 4 rounds.

1. Written test
2. Technical round
3. MR round
4. HR round

In written test the questions is as follows it have total 35 questions

Alok is attending a workshop "How to do more with less" and today's theme is Working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as woman kind) had only worked with fewer digits. The problem posed at the end of the workshop is 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?
a) 375 b) 3125  c) 500 
d) 625
Ans: d

2) 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?
a) 0.75  b) 1  c) 0.25  d) 0.5

Ans: 0.25


3) 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
a) 13  b) 18  c) 11  d) 12

Ans: 12

4) 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?
a) 18  b) 72  c) 6  d) 12
Ans: 12

5) 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?
a) 0  b) 1/12  c) 11/12  d) 12/212
Ans: 0

6) A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly and of the statements on this sheet are false.' Which statements are true and which are false?

a) The 39th statement is true and the rest are false. All the statements are false.
b) The odd numbered statements are true and the even numbered statements are false.
c) The even numbered statements are true and the odd numbered statements are false

Ans: A

7) A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement and says "At least n of the statements on this sheet are true." Which statements are true and which are false?
a) The odd numbered statements are true and the even numbered are false.
b) The first 26 statements are false and the rest are true.
The even numbered statements are true and the odd numbered are false.
d) The first 13 statements are true and the rest are false.
Ans: D

8) 10 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 right most 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 .
Neither A nor B
Both A and B
B only
A only

9) 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) 4  b) 3  c) 1  d) 0
Ans: 4

10) 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) 256   b) 64  c) 192  d) 54

Ans: 192

11) 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).
a) 9  b) 8  c) 7  d) 6
Ans: 9

12) 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) 5/9  b) 1/9  c) 2/3  d) 4/9

Ans: 5/9

13) 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 the 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?

a) 12
b) 16
c) 8
d) 24

Just substitute values then you get ans

14) 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) 27  b) 0.0  c) 20  d) 18

Ans: 20

15) Lion and tiger are there. Lion lies on Monday, Tues, Wends and Tiger lies on Thurs, Frid, Sat. Lion said that today is one of those days when I lies. Tiger said that today is one of those days when I lie too. Then find today?
1/3 rd of a number is more 3 than the 1/6th of a number then find the number?

16) Two tanks A and B. A fills 1 ltr/1 hour B fills 10, 20, 30 per hour. If this is (passage unnecessary). If 1/4th tank of B takes 15 hours to fill how much it time will to take to fill complete tank? 

17) Out of 7 children the youngest is boy then find the probability that all the remaining children are boys

Ans: 1/2^6 = 1/64

18) A Toy train can make 10 sounds sound changes after every 4 mins, now train is defective and can make only 2 sounds. Find probability that same sound is repeated 5 times consecutively (1 out of)?
Ans: 1/32


19) 20men and 20 women are there, they dance with each other, is there possibilty that 2 men are dancing with same women and vice versa.
Ans: Never

20) In school there are some bicycles and 4wheeler wagons. One Tuesday there are 234 wheels in the campus. How many bicycles are there?

Ans: Go with options. Multiply each option with 2 and subtact the obtained no from 234. If it is exactly divisible by 4, that is the answer.


21) A father has 7 penny’s with him and 1 water melon is for 1p, 2 chickoos for 1p, 3 grapes foe 1p. He has three sons. How can he share the friuts equally?
Ans: 1 watermelon, 2chickoos, 1grape


22)  A piza shop made pizzas with to flavours. In home there are ‘9’ different flavors, in that ‘2’ flavors are taken to made piza   in  how many ways they can arrange?
(Logic: NcM, N= 9, M=2 ) 


23) One organization, material, labor and maintenance are in the ratio of 4:6:7, if the material cost is: 272, what is the total cost?

Ans: 4x=272 => x=68; now total cost = 272 + 6(68)+7(68).

24) 4 years before Paul’s age is 3times the Alice age and the present age of Paul is 6times the Alice. What is the presents Paul’s age?
Ans: x-4 = 3(y-4); x=6y: Solve you will get it.
25) In a question, last part has, the ages of two people has the ratio of 6:5 and by adding the numbers we get 55, after how many years the ratio would be 8:7?
Ans: Easy you can do it, simple equtions


26)  In a room (unwanted stuff) Sports readers, 10 tables, 4 chairs per table, each table has different number of people then how many tables will left without at least one person?
Ans : 6