TCS Previous years sample placement papers1. Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race?a) 30b) 32 -Answerc) 41d) 542. From the top of a 9 metres high building AB, the angle of elevation of the top of a tower CD is 30 and the angle of depression of the foot of the tower is 60. What is the height of the tower?a) 12 -Answerb) 18c) 9d) 153. 49 members attended the party. In that 22 are males, 27 are females. The shake hands are done between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?a) 122b) 66 -Answerc) 48d) 1284. 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 Mohans old Mercedes. If the speed of Mohans 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) 20.72b) 3.5 -Answerc) 238.25d) 6.185. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: Exactly 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 statements are false.b) The odd numbered statements are true and the even numbered statements are false.c) All the statements are false.d) The 39th statement is true and the rest are false.-Answer6. 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, what is the minimum no. of mices required to find poisoned can?a) 3b) 2c) 5 -Answerd) 17. 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) 5^7b) 5^6c) 5^9d) 5^8-Answer8. 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?a) 37.80 -Answerb) 8c) 40d) 59. 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 As chances of winning. Lets 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) 1/9b) 4/9c) 5/9 -Answerd) 2/310. 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 isa) 12 -Answerb) 11c) 13d) 1811. 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 isa) 1/2b) 14/19 -Answerc) 37/38d) 3/412. 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) 0.75b) 1c) 0.5d) 0.25-Answer

13. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one 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, third hour it has 40 and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?a) 26hrs -Answerb) 25hrsc) 5hrsd) 27hrs14. 3 friends A, B, C went for week end party to McDonalds restaurant and there they measure there weights in some order IN 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 155kg then find the average weight of all the 7 rounds?a) 88.5 -Answerb) 77.5c) 50d) 5515. A grand father has 3 grand children. Age difference of two children among them is 3. Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of age of other two children. What is the age of the eldest child?a) 15 -Answerb) 10c) 22d) 1816. In a mixture of a, b, & c, if a and b are mixed in 3:5 ratio and b and c are mixed in 8:5 Ratio and if the final mixture is 35 liters, find the amount of b?a) 13.34b) 15.73 -Answerc) 16.73d) 9.4517. 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 -Answerb) 12/212c) 11/12d) 1/1218. 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 rightmost person is not questioned. Which of the following possibilities are true?A. All suspects are lying.B. leftmost suspect is innocent.C. leftmost suspect is guiltya) A onlyb) A or Cc) A or B -Answerd) B only19. 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 1face of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?

a) 900b) 488c) 563 -Answerd) 80020. My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N70W. What is the local time when my plane landed?

a) 12 noonb) 6: 40 AM -Answerc) 5: 20 PMd) 6:50 AM21. The difference between two no is 9 and the product of the two is 14. What is the square of their sum?a) 120b) 130 -Answerc) 137d) 14522. In a 100m race , A beats B by 15m and B beats C by 10m . If A beats C by 5 sec then find the speed of C.

a) 5 m/secb) Speed of C cannot be found with given datac) 4.7 m/sec -Answerd) 4 m/sece) 4.5 m/sec23. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work?a) 12b) 40c)6 -Answerd) 824. Oshkosh did a study of the colors used in African national flags. He found that 38 flags have red, 20 have blue, 13 have both red and blue, and 8 have neither red nor blue. How many flagsa. have red but not blue?b. have blue but not red?c. were included in the study?a) 25, 7, 53 -Answerb) 38, 20, 79c) 25, 7, 66d) 30, 20, 6025. 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 himselfb) Amrith's Unclec) Amrith's Fatherd) Amrith's Son-Answer1. What is false about the following A compound statement is(a) A set of simple statments(b) Demarcated on either side by curly brackets(c) Can be used in place of simple statement(d) A C function is not a compound statement.2.Write one statement equivalent to the following two statements x=sqr(a); return(x); Choose from one of the alternatives(a) return(sqr(a));(b) printf(sqr(a));(c) return(a*a*a);(d) printf(%d,sqr(a));3. What is the value of y in the following code? x=7; y=0; if(x=6) y=7; else y=1;(a) 7(b) 0(c) 1(d) 64. What does the following function print? func(int i) { if(i%2)return 0; else return 1;} main() { int =3; i=func(i); i=func(i); printf(%d,i); }(a) 3(b) 1(c) 0(d) 25 How does the C compiler interpret the following two statements p=p+x; q=q+y;(a)p=p+x; q=q+y(b)p=p+xq=q+y(c)p=p+xq;(d)q=q+yVerbal Reasoning Questions 1. Effrontery :Extreme rudeness and lack of ability to understand that your behavior is not acceptable to other people.2. Voluble :Speaking a lot, with confidence and enthusiasm.3. Terse :Using few words, sometimes in a way that seems rude or unfriendly.4. Wily :(of a person) clever, having a very good understanding of situations, possibilities and people, and often willing to use tricks to achieve an aim:- a wily politician5. Antithesis :the exact opposite.Quantitative Aptitude questinos 1. If n is the sum of two consecutive odd integers and less than 100, what is greatest possibility of n?(a)98(b)94(c)96(d)99Answer : c2. There are 4 boxes colored red, yellow, green and blue. If 2 boxes are selected, how many combinations are there for at least one green box or one red box to be selected?(a)1(b)6(c)9(d)5Answer: d3. In base 7, a number is written only using the digits 0, 1, 2, .....6. The number 135 in base 7 is 1 x 72 + 3 x 7 + 5 = 75 in base 10. What is the sum of the base 7 numbers 1234 and 6543 in base 7.(a)11101(b)11110(c)10111(d)11011Answer: b4. A, B, C and D go for a picnic. When A stands on a weighing machine, B also climbs on, and the weight shown was 132 kg. When B stands, C also climbs on, and the machine shows 130 kg. Similarly the weight of C and D is found as 102 kg and that of B and D is 116 kg. What is Ds weight(a)58kg(b)78 kg(c)44 kg(d)NoneAnswer : c5.In a rectanglular coordinate system, what is the area of a triangle whose vertices whose vertices have the coordinates (4,0), (6, 3) adn (6 , -3)(a)6(b)7(c)7.5(d)6.5Answer: a6. Two full tanks one shaped like the cylinder and the other like a cone contain liquid fuel the cylindrical tank held 500 lts more then the conolical tank After 200 lts of fuel is pumped out from each tank the cylindrical tank now contains twice the amount of fuel in the canonical tank How many lts of fuel did the cylindrical tank have when it was full?(a)1000(b)1500(c)1200(d)1800Answer: c7. If f(1)=4 and f(x+y)=f(x)+f(y)+7xy+4,then f(2)+f(5)=?(a)120(b) 60(c)150(d)125Answer: d8 If f(f(n))+f(n)=2n+3 and f(0)=1, what is the value of f(2012)?(a) 2011(b) 2012(c) 2013(d) 4095Answer:c9. A two digit number is 18 less than the sum of the squares of its digits. How many such numbers are there?(a)1(b)2(c)3(d)4Answer: b10. Find the number of ways a batsman can score a double century only in terms of 4's & 6's?(a)15(b)16(c)17(d)19Answer:cLatest TCS Placement Papers Fully Solved 2014-2015 batch

Here is the latest sample placement paper of Tata Consultancy Services.

TCS Placement Paper 2014 -20151) A power unit is there by the bank of a river of 900 meters. A cable is made from power unit to power a plant opposite to that of the river of 2000mts. The cost of the cable below water is Rs. 5/- per meter and cost of cable on the bank is Rs. 4/- per meter. Then find out the amount to be invested to connect those two stations?Explanation:Required length of wire = 2000 mts cost of cable below water = 900 * 5 = 4500 cost of cable on the bank of river= (2000 - 900) * 4 = 4400 Total cost = 4500 + 4400 = 8900.

2) A farmer had 20 hens. All but 2 died. How many hens are still alive?Explanation:"All but 2" means 2. So, all but 2 died means that there are only two hens are alive and others were dead. So, the answer is 2.

3) At this series: 7, 10, 8, 11, 9, 12... What number should come next?Explanation:This is a simple alternating addition and subtraction series. In the first pattern, 3 are added; in the second, 2 are subtracted.

4) A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

Explanation:We can select the 5 member team out of the 10 in 10C5 ways = 252 ways. The captain can be selected from amongst the remaining 5 players in 5 ways. Therefore, total ways the selection of 5 players and a captain can be made = 252*5 = 1260.

5) There are 3 gentlemen in a meeting: Mr. Yellow, Mr. Green and Mr. Brown. They are wearing yellow, green and brown ties. Mr. Yellow says: "Did you notice that the colors of our ties are different from our names?" The person who is wearing the green tie says, "Yes, you are right!" Do you know Brown is wearing what colour of tie?Explanation:We know that Mr. Yellow was not wearing a yellow tie because of his statement. He also was not wearing the green tie because the one wearing the green tie agreed to his statement. Therefore, Mr. Yellow was wearing a brown tie. Mr. Green was wearing a yellow tie. And Mr. Brown was wearing the green tie.

6) g[0]=1,g[1]=-1,g[n]=2*g[n-1]-3*g[n-2] then calculate g[4]= ?Explanation:From the given function g[n] =2*g [n-1]-3*g [n-2] put values of n as first 2 then 3, then 4 and you will get the answer. G[2] = 2*g[1]-3*g[0]=-2-3 =-5 , G[3]=2*g[2]-3*g[1] =2*(-5)-3*(-1)=-7, G [4] =2*g[3]-3*g[2]=2*(-7)-3*(-5) =1

7) Ten years ago X was half of Y. If the ratio of their present ages is 3:4, what will be the total of their present ages?Explanation:Let X's age 10 years ago = x years. Then, Y's age 10 years ago = 2x years. (x + 10)/ (2x + 10) = 3/4 => 4 (x + 10) = 3 (2x + 10) x = 5 Total of their present ages = (x + 10 + 2x + 10) = 3x + 20 = 15 + 20 = 35 years.

8) A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:Answer: 120KMPH

9) In a circular racetrack of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite at 15 m/s. When will all the three meet for the first time after the start?Explanation:Since the track is a circular track A and B will meet every 50 seconds. i.e. 100 / (10-8). Since it is a multiple of 50 they will be meeting at the starting point every 50 Seconds. If you multiply 15 x 50 you will get 750 and after the second 50 it will be 1500. All of them will meet at the starting point after 100s

10) A class of 100 students. 24 of them are girls and 32 are not. Which base am I using?Explanation:Let the base be X. Therefore (X*X + X*0 + 0) = (2*X +4) + (3*X + 2), X * X = 5 * X + 6, X * X - 5 * X -6 = 0, (X- 6) (X+1) = 0 Therefore base is 6.

11) Siva, Sathish, Amar and Praveen are playing cards. Amar is to the right of Sathish, who is to the right of Siva. Who is to the right of Amar?Answer: Praveen

12) Ferrari is leading car manufacturer. Ferrari S.P.A. is an Italian sports car. It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old MERCEDES which gave him 35 km/ph if Mohan travelled 490 km in his Ferrari the how much time in hours he took?

Explanation:Time = (Distance/Speed) = (490/35) Therefore the total time = time/3 = (490/35)/3 = 4.6666 Approximately 4.7

13) My flight takes off at 2 AM from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N 70W. What is the local time when my plane landed?Explanation:Total change in degrees in east-west direction = 70 + 10 degrees =80 degrees, Time change due to the change in Longitude = 80*4 = 320 minutes = 5 hrs 20 min. According to the person the time would have been = 2 am + 10 hrs = 12 am. But according to the local time the time would be = 12 - 5.20 = 6 .40am

14) A class of 25 students took a science test. 10 students had an average (arithmetic mean) score of 80. The other students had an average score of 60. What is the average score of the whole class?Explanation:80 10 + 60 15 = 800 + 900 = 1700 Total number of students = 25 Average weight = 1700/25 The average score of the whole class is 68.

15) The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pens and two erasers is Rs.32. How much will three pencils, three pens and three erasers cost?

Explanation:x + 2y + 4z = 22 -------->1 5x + 4y + 2z = 32 ------->2 multiply eqn (2) by 2 and substract from eqn(1) dividing by 3 we get 3x + 2y = 14--------->3 multiplying eqn (1) by 5 and subtracting eqn (2) then divide by 6 we get y + 3z = 13---------->4 Adding eqn (3) and (4) we get 3x + 3y +3z = 27

16) A is 20 percent more efficient than B. If the two persons can complete a piece of work in 60 days. In how many days A working alone can complete the work?Explanation:Ratio of time taken by A and B is 1: 1.2 i.e. 5:6 Let the time taken by A be 5x and by B be 6x , 1/5x + 1/ 6x = 1/60 => x =22. Time taken by A = 5 * 22 = 110

17) On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?Explanation:In any case the one legged people will all require one shoe per head. From the remaining, half will go barefooted and therefore they need no shoes. And the rest will need two shoes per head. And this works out at one shoe per person for the others. Therefore for the whole population on the average one shoe per head

18) Look at this series: 14, 28, 20, 40, 32, 64, what number should come next?Explanation:This is an alternating multiplication and subtracting series: First, multiply by 2 and then subtract 8.

19) Two pipes A and B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 minutes?Explanation:Let B be closed after x minutes. Then, part filled by (A + B) in x min. + part filled by an in (18 - x) min. = 1. X {1/24 + 1/32] + (18 - x) X 1/24 = 1 or 7x/96 + (18 - x)/24 = 1 7x + 4(18 -x) = 96 or x=8 Hence, B must be closed after 8 minutes

20) At a car park there are 100 vehicles, 60 of which are cars, 30 are vans and the remaining are Lorries. If every vehicle is equally likely to leave, find the probability of car leaving second if either a lorry or van had left first :Explanation:Let S be the sample space and A be the event of a van leaving first. n(S) = 100 n (A) = 30 Probability of a van leaving first: P (A) = 30/100 = 3/10 Let B be the event of a lorry leaving first. n (B) = 100 - 60 - 30 = 10 Probability of a lorry leaving first: P (B) = 10/100 = 1/10 If either a lorry or van had left first, then there would be 99 vehicles remaining, 60 of which are cars. Let T be the sample space and C be the event of a car leaving. n (T) = 99 n(C) = 60 Probability of a car leaving after a lorry or van has left: P(C) = 60/99 = 20/33

21) A red house is built from red bricks. A blue house is built from blue bricks. A white house is built from white bricks. Then what is a greenhouse made from?Explanation:Glass i.e. Buildings are made of bricks. But a greenhouse is made of glass.

22) If Rs. 782 be divided into three parts, proportional to 1/2: 2/3: 3/4, then the first part is: www.allindiajobs.inExplanation:Given ratio = 1/2: 2/3:3/4 = 6: 8: 9 1st part = 782*(6/22) = 213.2727.. Approximately equals to 213 www.allindiaobs.in

23) A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse . But after a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately he has to pay $80 to get it back, so he loses $10. After another year of owing the horse, he finally decides to sell the horse for $90. What is the overall profit the man makes?Explanation:The total expenses are $60 + $80 = $140 and the total earnings are $70 +$90 = $160. The overall profit = $160 - $140 = $ 20

24) When I become as old as my father is now, I will be 5 times the age of my son. In addition, my son will be 8 yrs older than What I am now. If the sum of my father's age and my age is equal to100. How old is my son now?Explanation:Let us consider the ages of the man, his father & his son is m, f & s respectively. Then according to the problem F=5s............ (i) S + f-m = m+8........ (ii) F + m = 100........... (iii) Putting (i) in (iii) we get 5s+m=100........ (iv) Putting (i) in (ii) we get 6s-2m=8............ (v) Equating (iv) & (v) we get s = 13, f = 65 & m = 36

25) Nine persons went to the hostel for taking their meals, 8 of them spent Rs.12 each on their meals and ninth spend Rs. 8 more then the average expenditure of all nine. What is the total money spent by them?Explanation:Let average expenditure be x Then 8*12 +(x+8) = 9x i.e. 104 + x = 9x; 8x = 104 x = 13 Therefore total money spent is 9x = 9*13 =117

26) The average of a list of 6 numbers is 20. If we remove one of the numbers, the average of the remaining numbers is 15. What is the number that was removed?

Explanation:The removed number could be obtained by difference between the sum of original 6 numbers and the sum of remaining 5 numbers i.e. sum of original 6 numbers - sum of remaining 5 numbers sum of original 6 numbers = 20 6 = 120 sum of remaining 5 numbers = 15 5 = 75 Number removed = sum of original 6 numbers - sum of remaining 5 numbers 120 - 75 = 45

27) In the word ORGANISATIONAL, if the first and second, third and fourth, fifth and sixth letters are interchanged, what would be the 12th letter from right?Explanation:After interchanging R O A G I N S A T I O N A L 14 13 12 11 10 9 8 7 6 5 4 3 2 1

28) What are the number of edges, number of vertices and number of faces of a planar cube among the following options?We know cube has 6 faces, 12 edges and 8 vertices

29 How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?

Explanation:Let the number of required alphabets in the language be 'n'. Therefore, using 'n' alphabets we can form n * n * n = n3 distinct 3 digit initials. These n3 different initials = 1 million i.e. n3 = 106 (1 million = 106) => n3 = (102)3 => n = 102 = 100

30) Today's high school students spend too much time thinking about trivial and distracting matters such as fashion. Additionally, they often dress inappropriately on school grounds. Rather than spending time writing another detailed dress policy, we should make school uniforms mandatory. If students were required to wear uniforms, it would increase a sense of community and harmony in our schools and it would instill a sense of discipline in our students. Another positive effect would be that teachers and administrators would no longer have to act as clothing police, freeing them up to focus on more important issues.This paragraph best supports the statement thatOptions:a) inappropriate clothing leads to failing gradesb) students who wear school uniforms get into better collegesc) teachers and administrators spend at least 25% of their time enforcing the dress code.d) school uniforms should be compulsory for high school studentsAnswer: Explanation:The support for choice e is in the third sentence "we should make school uniforms mandatory". There is no evidence provided to support choices a, b, and d. And although we know that teachers and administrators are spending some of their time enforcing dress code, the paragraph does not quantify how much of their time is spent that way, so there is no support for choice c.TCS New placement papers model questions for learn and practice 2014-2015.TCS previous years solved question and answers with detailed explanations

1. Ray writes a two digit number. He sees that the number exceeds 4 times the sum of its digits by 3. If the number is increased by 18, the result is the same as the number formed by reversing the digits. Find the number.a) 35b) 42c) 49d) 57Solution: Let the two digit number be xy.4(x + y) +3 = 10x + y .......(1)10x + y + 18 = 10 y + x ....(2)Solving 1st equation we get 2x - y = 1 .....(3)Solving 2nd equation we get y - x = 2 .....(4)Solving 3 and 4, we get x = 3 and y = 5

2. a, b, c are non negitive integers such that 28a+30b+31c = 365. a + b + c = ?a) Greater than 14b) less than or equal to 11c) 13d) 12In a calender,Number of months having 28 days = 1Number of months having 30 days = 4Number of months having 31 days = 728 x 1 + 30 x 4 + 31 x 7 = 365Here, a = 1, b = 4, c = 7.a+b+c = 12

3. George can do a piece of work in 8 hours. Paul can do the same work in 10 hours, Hari can do the same work in 12 hours. George, paul and hari start the same work at 9 am, while george stops at 11 am, the remaining

two complete the work. What time will the work complete?a) 11.30 amb) 12 noonc) 12.30 pmd) 1 pmLet the total work = 120 units.As George completes this entire work in 8 hours, his capacity is 15 units /hourSimilarly, the capacity of paul is 12 units / hourthe capacity of Hari is 10 units / hourAll 3 started at 9 am and worked upto 11 am. So total work done upto 11 am = 2 x (15 + 12 + 10) = 74Remaining work = 120 - 74 = 46Now this work is to be done by paul and hari. 46 / (12 + 10) = 2 hours (approx)

So work gets completed at 1 pm

4. If x^y denotes x raised to the power y, Find last two digits of (1141^3843) + (1961^4181)a) 02b) 82c) 42d) 22

5 J can dig a well in 16 days. P can dig a well in 24 days. J, P, H dig in 8 days. H alone can dig the well in How many days?a) 32b) 48c) 96d) 24Assume the total work = 48 units.Capacity fo J = 48 / 16 = 3 units / dayCapacity of P = 48 / 24 = 2 units / dayCapacity of J, P, H = 48 / 8 = 6 units / dayFrom the above capacity of H = 6 - 2 - 3 = 1So H takes 48 / 1 days = 48 days to dig the well

6. If a lemon and apple together costs Rs.12, tomato and a lemon cost Rs.4 and an apple costs Rs.8 more than a lemon. What is the cost of lemon?L + A = 12 ...(1)T + L = 4 .....(2)L + 8 = ATaking 1 and 3, we get A = 10 and L = 2

7. 3 mangoes and 4 apples costs Rs.85. 5 apples and 6 peaches costs 122. 6 mangoes and 2 peaches costs Rs.144. What is the combined price of 1 apple, 1 peach, and 1 mango.a) 37b) 39c) 35d) 363m + 4a = 85 ..(1)5a + 6p = 122 ..(2)6m + 2p = 144 ..(3)(1) x 2 => 6m + 8a = 1704 x (3) => 6m + 2p = 144Solving we get 8a - 2p = 56 ..(4)

(2) => 5a + 6p = 1223 x (4) = 24a - 6p = 168Solving we get a = 10, p = 12, m = 15So a + p + m = 37

8. An organisation has 3 committees, only 2 persons are members of all 3 committee but every pair of committee has 3 members in common. what is the least possible number of members on any one committee?a) 4b) 5c) 6d) 1From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday.

9. If YWVSQ is 25 - 23 - 21 - 19 - 17, Then MKIGFa) 13 - 11 - 8 - 7 - 6b) 1 - 2-3-5-7c) 9 - 8 - 7 - 6 - 5d) 7 - 8 - 5 - 3MKIGF = 13 - 11 - 9 - 7 - 6Note: this is a dummy question. Dont answer these questions

10. Addition of 641 + 852 + 973 = 2456 is incorrect. What is the largest digit that can be changed to make the addition correct?a) 5b) 6c) 4d) 7TCS Placement Paper 2014 -20151) A power unit is there by the bank of a river of 900 meters. A cable is made from power unit to power a plant opposite to that of the river of 2000mts. The cost of the cable below water is Rs. 5/- per meter and cost of cable on the bank is Rs. 4/- per meter. Then find out the amount to be invested to connect those two stations?Explanation:Required length of wire = 2000 mts cost of cable below water = 900 * 5 = 4500 cost of cable on the bank of river= (2000 - 900) * 4 = 4400 Total cost = 4500 + 4400 = 8900.

2) A farmer had 20 hens. All but 2 died. How many hens are still alive?Explanation:"All but 2" means 2. So, all but 2 died means that there are only two hens are alive and others were dead. So, the answer is 2.

3) At this series: 7, 10, 8, 11, 9, 12... What number should come next?Explanation:This is a simple alternating addition and subtraction series. In the first pattern, 3 are added; in the second, 2 are subtracted.

4) A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

Explanation:We can select the 5 member team out of the 10 in 10C5 ways = 252 ways. The captain can be selected from amongst the remaining 5 players in 5 ways. Therefore, total ways the selection of 5 players and a captain can be made = 252*5 = 1260.

5) There are 3 gentlemen in a meeting: Mr. Yellow, Mr. Green and Mr. Brown. They are wearing yellow, green and brown ties. Mr. Yellow says: "Did you notice that the colors of our ties are different from our names?" The person who is wearing the green tie says, "Yes, you are right!" Do you know Brown is wearing what colour of tie?Explanation:We know that Mr. Yellow was not wearing a yellow tie because of his statement. He also was not wearing the green tie because the one wearing the green tie agreed to his statement. Therefore, Mr. Yellow was wearing a brown tie. Mr. Green was wearing a yellow tie. And Mr. Brown was wearing the green tie.

6) g[0]=1,g[1]=-1,g[n]=2*g[n-1]-3*g[n-2] then calculate g[4]= ?Explanation:From the given function g[n] =2*g [n-1]-3*g [n-2] put values of n as first 2 then 3, then 4 and you will get the answer. G[2] = 2*g[1]-3*g[0]=-2-3 =-5 , G[3]=2*g[2]-3*g[1] =2*(-5)-3*(-1)=-7, G [4] =2*g[3]-3*g[2]=2*(-7)-3*(-5) =1

7) Ten years ago X was half of Y. If the ratio of their present ages is 3:4, what will be the total of their present ages?Explanation:Let X's age 10 years ago = x years. Then, Y's age 10 years ago = 2x years. (x + 10)/ (2x + 10) = 3/4 => 4 (x + 10) = 3 (2x + 10) x = 5 Total of their present ages = (x + 10 + 2x + 10) = 3x + 20 = 15 + 20 = 35 years.

8) A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:Answer: 120KMPH

9) In a circular racetrack of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite at 15 m/s. When will all the three meet for the first time after the start?Explanation:Since the track is a circular track A and B will meet every 50 seconds. i.e. 100 / (10-8). Since it is a multiple of 50 they will be meeting at the starting point every 50 Seconds. If you multiply 15 x 50 you will get 750 and after the second 50 it will be 1500. All of them will meet at the starting point after 100s

10) A class of 100 students. 24 of them are girls and 32 are not. Which base am I using?Explanation:Let the base be X. Therefore (X*X + X*0 + 0) = (2*X +4) + (3*X + 2), X * X = 5 * X + 6, X * X - 5 * X -6 = 0, (X- 6) (X+1) = 0 Therefore base is 6.

11) Siva, Sathish, Amar and Praveen are playing cards. Amar is to the right of Sathish, who is to the right of Siva. Who is to the right of Amar?Answer: Praveen

12) Ferrari is leading car manufacturer. Ferrari S.P.A. is an Italian sports car. It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old MERCEDES which gave him 35 km/ph if Mohan travelled 490 km in his Ferrari the how much time in hours he took?

Explanation:Time = (Distance/Speed) = (490/35) Therefore the total time = time/3 = (490/35)/3 = 4.6666 Approximately 4.7

13) My flight takes off at 2 AM from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N 70W. What is the local time when my plane landed?Explanation:Total change in degrees in east-west direction = 70 + 10 degrees =80 degrees, Time change due to the change in Longitude = 80*4 = 320 minutes = 5 hrs 20 min. According to the person the time would have been = 2 am + 10 hrs = 12 am. But according to the local time the time would be = 12 - 5.20 = 6 .40am

14) A class of 25 students took a science test. 10 students had an average (arithmetic mean) score of 80. The other students had an average score of 60. What is the average score of the whole class?Explanation:80 10 + 60 15 = 800 + 900 = 1700 Total number of students = 25 Average weight = 1700/25 The average score of the whole class is 68.

15) The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pens and two erasers is Rs.32. How much will three pencils, three pens and three erasers cost?

Explanation:x + 2y + 4z = 22 -------->1 5x + 4y + 2z = 32 ------->2 multiply eqn (2) by 2 and substract from eqn(1) dividing by 3 we get 3x + 2y = 14--------->3 multiplying eqn (1) by 5 and subtracting eqn (2) then divide by 6 we get y + 3z = 13---------->4 Adding eqn (3) and (4) we get 3x + 3y +3z = 27

16) A is 20 percent more efficient than B. If the two persons can complete a piece of work in 60 days. In how many days A working alone can complete the work?Explanation:Ratio of time taken by A and B is 1: 1.2 i.e. 5:6 Let the time taken by A be 5x and by B be 6x , 1/5x + 1/ 6x = 1/60 => x =22. Time taken by A = 5 * 22 = 110

17) On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?Explanation:In any case the one legged people will all require one shoe per head. From the remaining, half will go barefooted and therefore they need no shoes. And the rest will need two shoes per head. And this works out at one shoe per person for the others. Therefore for the whole population on the average one shoe per head

18) Look at this series: 14, 28, 20, 40, 32, 64, what number should come next?Explanation:This is an alternating multiplication and subtracting series: First, multiply by 2 and then subtract 8.

19) Two pipes A and B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 minutes?Explanation:Let B be closed after x minutes. Then, part filled by (A + B) in x min. + part filled by an in (18 - x) min. = 1. X {1/24 + 1/32] + (18 - x) X 1/24 = 1 or 7x/96 + (18 - x)/24 = 1 7x + 4(18 -x) = 96 or x=8 Hence, B must be closed after 8 minutes

20) At a car park there are 100 vehicles, 60 of which are cars, 30 are vans and the remaining are Lorries. If every vehicle is equally likely to leave, find the probability of car leaving second if either a lorry or van had left first :Explanation:Let S be the sample space and A be the event of a van leaving first. n(S) = 100 n (A) = 30 Probability of a van leaving first: P (A) = 30/100 = 3/10 Let B be the event of a lorry leaving first. n (B) = 100 - 60 - 30 = 10 Probability of a lorry leaving first: P (B) = 10/100 = 1/10 If either a lorry or van had left first, then there would be 99 vehicles remaining, 60 of which are cars. Let T be the sample space and C be the event of a car leaving. n (T) = 99 n(C) = 60 Probability of a car leaving after a lorry or van has left: P(C) = 60/99 = 20/33

21) A red house is built from red bricks. A blue house is built from blue bricks. A white house is built from white bricks. Then what is a greenhouse made from?Explanation:Glass i.e. Buildings are made of bricks. But a greenhouse is made of glass.

22) If Rs. 782 be divided into three parts, proportional to 1/2: 2/3: 3/4, then the first part is: www.allindiajobs.inExplanation:Given ratio = 1/2: 2/3:3/4 = 6: 8: 9 1st part = 782*(6/22) = 213.2727.. Approximately equals to 213 www.allindiaobs.in

23) A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse . But after a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately he has to pay $80 to get it back, so he loses $10. After another year of owing the horse, he finally decides to sell the horse for $90. What is the overall profit the man makes?Explanation:The total expenses are $60 + $80 = $140 and the total earnings are $70 +$90 = $160. The overall profit = $160 - $140 = $ 20

24) When I become as old as my father is now, I will be 5 times the age of my son. In addition, my son will be 8 yrs older than What I am now. If the sum of my father's age and my age is equal to100. How old is my son now?Explanation:Let us consider the ages of the man, his father & his son is m, f & s respectively. Then according to the problem F=5s............ (i) S + f-m = m+8........ (ii) F + m = 100........... (iii) Putting (i) in (iii) we get 5s+m=100........ (iv) Putting (i) in (ii) we get 6s-2m=8............ (v) Equating (iv) & (v) we get s = 13, f = 65 & m = 36

25) Nine persons went to the hostel for taking their meals, 8 of them spent Rs.12 each on their meals and ninth spend Rs. 8 more then the average expenditure of all nine. What is the total money spent by them?Explanation:Let average expenditure be x Then 8*12 +(x+8) = 9x i.e. 104 + x = 9x; 8x = 104 x = 13 Therefore total money spent is 9x = 9*13 =117

26) The average of a list of 6 numbers is 20. If we remove one of the numbers, the average of the remaining numbers is 15. What is the number that was removed?

Explanation:The removed number could be obtained by difference between the sum of original 6 numbers and the sum of remaining 5 numbers i.e. sum of original 6 numbers - sum of remaining 5 numbers sum of original 6 numbers = 20 6 = 120 sum of remaining 5 numbers = 15 5 = 75 Number removed = sum of original 6 numbers - sum of remaining 5 numbers 120 - 75 = 45

27) In the word ORGANISATIONAL, if the first and second, third and fourth, fifth and sixth letters are interchanged, what would be the 12th letter from right?Explanation:After interchanging R O A G I N S A T I O N A L 14 13 12 11 10 9 8 7 6 5 4 3 2 1

28) What are the number of edges, number of vertices and number of faces of a planar cube among the following options?We know cube has 6 faces, 12 edges and 8 vertices

29 How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?

Explanation:Let the number of required alphabets in the language be 'n'. Therefore, using 'n' alphabets we can form n * n * n = n3 distinct 3 digit initials. These n3 different initials = 1 million i.e. n3 = 106 (1 million = 106) => n3 = (102)3 => n = 102 = 100

30) Today's high school students spend too much time thinking about trivial and distracting matters such as fashion. Additionally, they often dress inappropriately on school grounds. Rather than spending time writing another detailed dress policy, we should make school uniforms mandatory. If students were required to wear uniforms, it would increase a sense of community and harmony in our schools and it would instill a sense of discipline in our students. Another positive effect would be that teachers and administrators would no longer have to act as clothing police, freeing them up to focus on more important issues.This paragraph best supports the statement thatOptions:a) inappropriate clothing leads to failing gradesb) students who wear school uniforms get into better collegesc) teachers and administrators spend at least 25% of their time enforcing the dress code.d) school uniforms should be compulsory for high school studentsAnswer: Explanation:The support for choice e is in the third sentence "we should make school uniforms mandatory". There is no evidence provided to support choices a, b, and d. And although we know that teachers and administrators are spending some of their time enforcing dress code, the paragraph does not quantify how much of their time is spent that way, so there is no support for choice c.