1. 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 yo u choose a box at random and a ball at random from the chosen box, the probabili ty of getting a red ball is maximized. This maximum probability is a)3/4 b)14/19 c)37/38 d)1/2 Ans.: b (probability of selecting a box=1/2.now keep 1 red ball in box a and trA ns.fer 9 red balls to b,so probability=1/2(1+9/19) 2 On the planet Oz, there are 8 days in a week- Sunday to Saturday and another d ay called Oz day. There are 36 hours in a day and each hour has 90 min while eac h 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 9 :40 am. a. 251 b.111 c.29 d.89 Ans.: c For 12:40 am Ans.. z 89 3 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 lin e while the others lie on the other side. The number of 1-sets of P is denoted b y n1(P). The maximum value of n1(P) over all configurations P of 9 points in the plane is a.10 b.9 c.3 d.5 Ans.: b ( m nt sure) 4.Planet four firesides 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 sti pulations 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 require ments and your goal is to design as many coins as possible. How many coins can y ou design? 5 9 6 8 Ans.: c(hint:first coin has length 64 mm,2nd coin diamter length 64+(50/100)*64, 3rd coin 2nd coins diameter length+50/100 of 2nd coinds lenght,in that way go ti ll you reach maximum diamter length 512!now think! 5. The pacelength P is the distance between the rear of two consecutive footprin ts. 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. Bernar d knows his pacelength is 164cm. The formula applies to Bernard s walking. Calcula

te Bernard s walking speed in kmph. 23.62 11.39 8.78 236.16 Ans.:a 6. Hare in the other. The hare starts after the tortoise has covered 1/3 of its distance and that too leisurely3. A hare and a tortoise have a race along a circ le of 100 yards diameter. The tortoise goes in one direction and the. The hare a nd tortoise meet when the hare has covered only 1/5 of the distance. By what fac tor should the hare increase its speed so as to tie the race? Ans.. 4.40 7.How many 4 digit numbers can be formed using the digits 1, 2,3,4 ,5 ( but with repetition) that are divisible by 4? Ans.. 5^3 8. 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 dr ivers and manufactured race cars before moving into production of street-legal v ehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been n oted 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 46 km/hr and t he distance traveled by the Ferrari is 953 km, find the total time taken for Roh it to drive that distance. a)20.72 b) 5.18 c)238.25 d)6.18 Ans.:(b)(time=distance/speed=953/4*46 9. There are 6 beer bottle nd one is poisoned. we have mice who will die within 14 hrs after drinkin poisned beer. In 24 hrs we have to find poisoned beer bottl e. How many no of mice we require to find out poisoned bottle. options a) 6 b) 4 c) 3 d) 1 10. keyword: Alok Bhanu, stack of 20 coins. i move can play. dat z 1th move meAn s. to put top coin 1 postion below. gold coin. initialy gold coin is at 3rd posi tion from top. if itz player turns nd player brings gold coin to the top then pl ayer z winner. alok starts. which of the following is true. a) alok must play 1th move to win. b) alok must play 0th move to win c) alok has no wining strategy Ans. (a) 11 1/3 rd of a number is more 3 than the 1/6th of a number then find the number? Ans.:18 12. After the typist writes 12 letters and addresses 12 envelopes, she inserts t he letters randomly into the envelopes (1 letter per envelope). What is the prob ability that exactly 1 letter is inserted in an improper envelope? a)0

b)12/212 c)11/12 d)1/12 Ans.:a (since 1 letter is in improper envelope other would definitely be in impr oper envelope) 13.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 pain ted, totally how many faces of the smaller cubes remain unpainted? 800 500 488 900 Ans.:side of cube = 5 cm its thichness = 1 cm so volume of outer cube = 5*5*5 volume of inner cube = 3*3*3 volume of the hollow cube = 5*5*5 3*3*3 = 98 so total no of small cubes of the size 1 cm = 98/1*1*1 = 98 we know a cube has 6 faces so total no of face = 98*6 = 588 one surface of outer cube contains a total of 25 surface of smaller cube , so wh en 4 surface of outer cube is painted total no of surface of small cubes i.e sup posed to be painted is 4*25 = 100 so the total no of surfaces of small cube that will be remained unpainted is 588 -100 = 488 no of faces remain unpainted: 588-( 25* no faces painted) 14. 10 suspects are rounded by the police and questioned about a bank robbery. O nly one of them is guilty. The suspects are made to stand in a line and each per son declares that the person next to him on his right is guilty. The rightmost p erson 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 . A only B only Neither A nor B Both A and B 15. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yello w. 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 t ake out to make sure she has a pair of each color? a)50 b)8 c)60 d)42 Ans.:60 There can be lots of logic for this, but approach the simplest one so that we ap proach to one of the solutions. Suppose the lady first picks 32 Red gloves, and then 24 Yellow gloves. The next pair she pics will be one Yellow and One Blue wh ich does not make a pair. The next two will be blue gloves. So she make a total of 32+24+1+1+2 = 60 picks. 16. One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She kn ows 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) Thursday (b) Tuesday

(c) Sunday (d) Monday Ans.: Thursday Explanation : On Thursday, Dwarf says truth. i.e Yesterday (Wednesday) was one of those days w hen I lies. Its true. On the other hand, On Thursday, Byte lies. i.e Yesterday (Wednesday) was one of those days when I lie too. Its a lie . So both satisfied. Hence its Thursday. 17 The citizens of planet nigiet are 5 fingered and have thus developed their de cimal system in base 8. A certain street in nigiet contains 1000 (in base 5) buildings numbered 1 to 100 0. How many 3s are used in numbering these buildings? Express result in terms of ba se 10. a) 54 b)64 c) 75 d) 100 4. keywords: alok, bhanu, want to maximize and other want to minimize. 15+X*Y-Z For these type of ques, remember this thumb rule.. X*Y-Z=18 X+Y-Z=11 X-Y-Z=2 Ans.: 15+18=33 18. 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 contin ues to lead the way in products and services in India. At Tirnop, all programmer s are equal in every respect. They receive identical salaries Ans. also write co de at the same rate.Suppose 12 such programmers take 12 minutes to write 12 line s of code in total. How long will it take 72 programmers to write 72 lines of co de in total? Ans. 12 min prgrmr*min/ loc= prgmr *min/ loc This question was also repeated thrice. a) no of Programmer b) no lines of codes c) how much time they will take. 19. On a sheet of paper, there are 40 statements. Each n statement states that At least n number of statements on this sheet is false . Then which of the following is true. Ans. first 20 statements are true and last 20 are false. This question was also repeated thrice. a) Atleast wid false Ans. first 20 r true and last 20 r false.. b) Exactly wid true Ans. 39th z true nd rest r false c) Atmost wid true or false Ans. all statements r true 20.There are 6 circles on a diagonal of square such that their centre lie on dia gonal. Consider that radius of each circle is equal. Find the ratio between side of square and radius of circle. 10r+ 2sqrt(2)r= sqrt(2)a find a/r.

1) For the FIFA world cup, Paul the octopus has been predicting the winner of ea ch match with amazing success. It is rumored that in a match between 2 teams A a nd 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 X and Y, X the s tronger team has a probability of 4/5 of winning the game. What is the probabili ty that Paul will correctly pick the winner of the X-Y game? Ans: ((4/5)^2+(1-1/5)^2) 2) A circular dart board 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 X in the circle. What is the probability that X is closer to the center of the circle than the pe riphery? Ans: pi(r/2)^2/pi(r)^2=.25 3) Given 3 lines in the plane such that the points of intersection form a triang le with sides of length 20, 20 and 30, What is the number of points equidistant from all the 3 lines? Ans: here ans will be 4 because in question it is given as 3 line. but in case of 3line segment ans will b 1. 4)36people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In oth er words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3 }, ... , {a35, a36}, {a36, a1}. Find the size of the smallest set of people such that the rest have shaken hands with at least one person in the set. Ans: (2,5,8,11,14,,17,20,23, 26,29,32,35) so there are 12 handshake possible or simply N/3=36/3=12. 5)After the typist writes 12 letters and addresses 12 envelopes, he inserts 1 le tter per envelope randomly into the envelopes. What is the probability that exac tly 1 letter is inserted in an improper envelope? Ans:0. 6) A sheet of paper has statements numbered from 1 to 35. For all values of n fr om 1 to 35, statement n says "At most n of the statements on this sheet are fals e". Which statements are true and which are false Ans: this type f question very important in my set it come 4 times. The simple s olution is that for-Exactly -the (n-1) statement s true and left r false At least-the first half statements r true & rest r false Almost-all the statements r true. 7) Given a collection of points P in the plane, a 1- set is a point in P that ca n be separated from the rest by a line; i.e. the point lies on one side of the l ine while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). Find the maximum value of n1(P) over all configurations P of 10 point s in the plane. Ans:10 8) A and B 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), "A" would li ke to maximize N while "B" would like to minimize it. Towards this end, "A" choo ses a single digit number and "B" substitutes this for a variable of her choice (X, Y or Z). "A" then chooses the next value and "B", the variable to substitute the value. Finally "A" proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game wou ld be Ans: here also a rule s there.

For X-Y-Z=2, X+Y-Z=11, X*(Y-Z)=18 X*(Y+Z)=18, in my set these type f question repeat 2times. 9) 1/3 of a number is 6 more than 1/6 of the same number. What is the number? Ans:36 10) Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/1 6 of B if filled in 17 hours what time it will take to get completely filled. Ans: For data structure type f question simply find 16 prime factor how many 2s r coming count dn add it wth givn 17 hr.so here ans s 21. 11) On planet Corba, a solar blast has melted the ice caps on its equator. 8 yea rs 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 echini 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. If you record the radius of some echina at a particular spot as 8mm. How many ye ars back did the solar blast occur? Ans: Put the value f d=2*8=16. 12) 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 ordi nary coins. The goal is to bring the gold coin to the top by repeatedly moving t he topmost coin to another position in the stack. Alice starts and the players t ake turns. A turn consists of moving the coin on the top to a position i below t he top coin (0 = i = 20). We will call this an i- move (thus a 0- move implies d oing nothing). The proviso is that an i-move cannot be repeated; for example onc e 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 playe r wins the game. Initially, the gold coinis the third coin from the top Ans: for winning player should move 1 at first. 13) There are certain number of hats and gloves in a box. They are of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate between hats and gl oves.How many draws are required to obtain a pair of each color. Ans: For data structure question simply add larger one+middle1+2 14) 20 people meet and shake hands. The maximum number of hand shakes possible i f there is to be no cycle of handshakes is( a cycle of handshake is a sequence of people a1,a2, ..ak)such that people(a1,a2),(a2,a3) ..(a(k- 1),ak),(a2,a1) shake han d is Ans: for cyclic d formula s ( n-1) for non-cyclic d formula s nc2. here it s cyc lic. 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 contin ues to lead the way in products and services in India. At Tirnop, all programmer s are equal in every respect. They receive identical salaries ans also write cod e at the same rate. Suppose 12 such programmers take 12 minutes to write 12 line s of code in total. How many lines of code can be written by 72 programmers in 7 2 minutes? Ans: Here lso has simple solution if question ask to find no. f mint & no. of pr ogrammer ans will be first 1 i.e here it will be 12. and if question asked to fi nd no. of line formula will be-12*72* 72/(12*12)

I get data Structure type of question 3 times. At last i want to suggest please visit all the TCS aptitude question website and also placement puzzle, math's. In our college cut off was 33 and i attempt34 and all was right. 2) Personal Interview Round 1) Tell me about yourself 2)As i was electrical engineering student so HR asked some basic thing from core subject like. in tower hw d light is controlled and earthing. 3) From data structure he asked bubble sorting, Fibonacci program to write, what s http., how many protocols r there. 4) Now he asked some HR type question like as u r coming 4m where, why do u want to shift your career from core to software. 5)Asked me about my project. 6)Weakest and strength point 7)Asked if in a office if u r appointed where every1 knows Hindi but u don't kno wn Hindi hw will u communicate with them 8)And so more i forget some of them .my interview was for 1/2 hr.