Saturday 27 August 2011

placement paper 2

3i InfoTech Written Test Pattern

(1) In a class composed of x girls and y boys what part of the class is composed of girls
A. y/(x + y)                B. x/xy                 C. x/(x + y)                D. y/xy 
(Ans. C)

(2) What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream(2 pt.=1 qt. and 4 qt.=1 gal)
A.16                 B.24                C.30                 D.64 
(Ans. D)

(3) If the operation,^ is defined by the equation x ^ y = 2x + y, what is the value of a in 2 ^ a = a ^ 3
A.0                 B.1                 C.-1                 D.4 
(Ans. B)

(4) A coffee shop blends 2 kinds of coffee, putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm. If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade, how much will the shop save in blending 100 gms.
A.Rs.90                 B.Rs.1.00                 C.Rs.3.00                 D.Rs.8.00 
(Ans. C)

(5) There are 200 questions on a 3 hr examination. Among these questions are 50 mathematics problems. It is suggested that twice as much time be spent on each math's problem as for each other question. How many minutes should be spent on mathematics problems
A.36                 B.72                 C.60                 D.100 
(Ans. B) 


(6) In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either. How many of these studied both Latin and Greek
A.0                 B.3                 C.4                 D.5 
(Ans. B) 

(7) If 13 = 13w/(1-w) ,then (2w)2 =
A.1/4                 B.1/2                 C.1                 D.2 
(Ans. C) 

(8) If a and b are positive integers and (a-b)/3.5 = 4/7, then
(A) b < a                 (B) b > a                 (C) b= a                 (D) b >= a 
(Ans. A) 

(9) In June a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?
A. 12                 B. 20                 C. 24                 D. 30 
(Ans. C) 

(10) M men agree to purchase a gift for Rs. D. If three men drop out how much more will each have to contribute towards the purchase of the gift/
A. D/(M-3)                 B. MD/3                 C. M/(D-3)                 D. 3D/(M2-3M) 
(Ans. D) 

(11) A company contracts to paint 3 houses. Mr. Brown can paint a house in 6 days while Mr. Black would take 8 days and Mr. Blue 12 days. After 8 days Mr. Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr. Blue to complete the contract?
A. 7                 B. 8                 C. 11                  D. 12 
(Ans. C) 

(12) 2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?
A. 30                 B. 40                 C.58                 D. 60 
(Ans. B) 

(13) If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
A.-5                 B. 4                 C. 2                 D. 8 
(Ans. D) 

(14) There are 5 red shoes, 4 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe 
(Ans. 5c1/ 9c1) 

(15) What is the selling price of a car? If the cost of the car is Rs.60 and a profit of 10% over selling price is earned 
(Ans: Rs 66/-) 

(16) 1/3 of girls , 1/2 of boys go to canteen .What factor and total number of classmates go to canteen.

Ans: Cannot be determined. 

(17) The price of a product is reduced by 30% . By what percentage should it be increased to make it 100% 
(Ans: 42.857%) 

(18) There is a square of side 6cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square. (Ans. 11/14 )

(19) There are two candles of equal lengths and of different thickness. The thicker one lasts of six hours. The thinner 2 hours less than the thicker one. Ramesh lights the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. How long ago did Ramesh light the two candles .

Ans: 3 hours.

(20) If M/N = 6/5,then 3M+2N = ?

(21) If p/q = 5/4 , then 2p+q= ?

(22) If PQRST is a parallelogram what it the ratio of triangle PQS & parallelogram PQRST . 
(Ans: 1:2 )

(23) The cost of an item is Rs 12.60. If the profit is 10% over selling price what is the selling price ?

(Ans: Rs 13.86/- )

(24) There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes (Ans: 6c2/10c2)

(25) To 15 ltrs of water containing 20% alcohol, we add 5 lts of pure water. What is % alcohol. 
(Ans : 15% )

(26) A worker is paid Rs.20/- for a full days work. He works 1,1/3,2/3,1/8.3/4 days in a week. What is the total amount paid for that worker ? 
(Ans : 57.50 )

(27) If the value of x lies between 0 & 1 which of the following is the largest?
(a) x                (b) x2                 (c) –x                 (d) 1/x 
(Ans : (d) )

(28) If the total distance of a journey is 120 km .If one goes by 60 kmph and comes back at 40kmph what is the average speed during the journey? 
Ans: 48kmph

(29) A school has 30% students from Maharashtra .Out of these 20% are Bombey students. Find the total percentage of Bombay? 
(Ans: 6%)

(30) An equilateral triangle of sides 3 inch each is given. How many equilateral triangles of side 1 inch can be formed from it? 
(Ans: 9)

(31) If A/B = 3/5,then 15A = ? 
(Ans : 9B)

(32) Each side of a rectangle is increased by 100% .By what percentage does the area increase? 
(Ans : 300%)

(33) Perimeter of the back wheel = 9 feet, front wheel = 7 feet on a certain distance, the front wheel gets 10 revolutions more than the back wheel .What is the distance? 
Ans : 315 feet

(34) Perimeter of front wheel =30, back wheel = 20. If front wheel revolves 240 times. How many revolutions will the back wheel take? 
Ans: 360 times

(35) 20% of a 6 litre solution and 60% of 4 litre solution are mixed. What percentage of the mixture of solution

(Ans: 36%)

(36) City A s population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population? 
(Ans: 130 years)

(37) Two cars are 15 kms apart. One is turning at a speed of 50kmph and the other at 40kmph . How much time will it take for the two cars to meet? 
(Ans: 3/2 hours)

(38) A person wants to buy 3 paise and 5 paise stamps costing exactly one rupee. If he buys which of the following number of stamps he won t able to buy 3 paise stamps. 
Ans: 9

(39) There are 12 boys and 15 girls, How many different dancing groups can be formed with 2 boys and 3 girls.

(40) Which of the following fractions is less than 1/3
(a) 22/62                 (b) 15/46                 (c) 2/3                 (d) 1 
(Ans: (b)

(41) There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle? 
Ans: 1 : 2

(42) Three types of tea the a,b,c costs Rs. 95/kg,100/kg and70/kg respectively. How many kgs of each should be blended to produce 100 kg of mixture worth Rs.90/kg, given that the quantities of band c are equal
a)70,15,15                 b)50,25,25                 c)60,20,20                 d)40,30,30 
(Ans. (b)

(43) In a class, except 18 all are above 50 years.15 are below 50 years of age. How many people are there
(a) 30                 (b) 33                 (c) 36                 (d) none of these. 
(Ans. (d)

(44) If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40 km/hr, then what is the speed of the stream ?
(a) 13 km/hr                 (b) 26 km/hr                 (c) 34 km/hr                 (d) none of these 
(Ans. (a)

(45) Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01)
(a) 0.845                 (b) 1.908                 (c) 2.312                 (d) 0.001 
(Ans. (a)

(46) A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together ?
(a) 3 days                 (b) 8/9 days                 (c) 4 days                 (d) can t say 
(Ans. (b)

(47) A car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 5 hrs.What is the distancetravelled
(a) 210 kms                 (b) 30 kms                 (c) 20 kms                 (d) none of these 
(Ans. (b)

(48) Instead of multiplying a number by 7, the number is divided by 7. What is the percentage of error obtained ?

(49) Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?
(a) 6                 (b) 8                 (c) 7                 (d) data insufficient

(Ans. (c)

(50) A man buys 12 lts of liquid which contains 20% of the liquid and the rest is water. He then mixes it with 10 lts of another mixture with 30% of liquid.What is the % of water in the new mixture?

(51) If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain?

(52) Pipe A can fill a tank in 30 mins and Pipe B can fill it in 28 mins.If 3/4th of the tank is filled by Pipe B alone and both are opened, how much time is required by both the pipes to fill the tank completely ?

(53) If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.
(a) 40%                 (b) 55%                 (c) 35%                 (d) 30% 
(Ans. (d))

(54) A certain number of men can finish a piece of work in 10 days. If however there were 10 men less it will take 10 days more for the work to be finished. How many men were there originally?
(a) 110 men                 (b) 130 men                 (c) 100 men                 (d) none of these 
(Ans. (a)

(55) In simple interest what sum amounts of Rs.1120/- in 4 years and Rs.1200/- in 5 years ?
(a) Rs. 500                 (b) Rs. 600                 (c) Rs. 800                 (d) Rs. 900 
(Ans. (c)

(56) If a sum of money compound annually amounts of thrice itself in 3 years. In how many years will it become 9 times itself.
(a) 6                 (b) 8                 (c) 10                 (d) 12 
(Ans. (a)

(57) Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train ?
(a) 100m                 (b) 75m                 (c) 120m                 (d) 50m 
(Ans. (b)

(58) How many mashes are there in 1 squrare meter of wire gauge if each mesh
is 8mm long and 5mm wide ?
(a) 2500                 (b) 25000             (c) 250                 (d) 250000 
(Ans. (b)

(59) x% of y is y% of ?
(a) x/y                 (b) 2y                 (c) x                 (d) can t be determined 
(Ans. (c)

(60) The price of sugar increases by 20%, by what % should a housewife reduce the consumption of sugar so that expenditure on sugar can be same as before ?
(a) 15%                 (b) 16.66%                 (c) 12%                 (d) 9%
 Ans. (b)

(61) A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary ?
(a) Rs.500                 (b) Rs.1500                 (c) Rs.1000                 (d) Rs. 900                         
Ans. (c)

(62) The population of a city increases @ 4% p.a. There is an additional annual increase of 4% of the population due to the influx of job seekers, find the % increase in population after 2 years ?

(63) The ratio of the number of boys and girls in a school is 3:2 Out of these 10% the boys and 25% of girls are scholarship holders. % of students who are not scholarship holders.?

(64) 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 6 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
(a) 30                 (b) 20                 (c) 19                 (d) 29 
Ans. (a)

(65) A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the same size are made from the material obtained, what is the diameter of each sphere?
(a) 5 cms                 (b) 2 cms                 (c) 3 cms                 (d) 4 cms
Ans. (c)

(66) A rectangular plank (2)1/2 meters wide can be placed so that it is on either side of the diagonal of a square shown below.(Figure is not available)What is the area of the plank? 
( Ans :7*(2)1/2 )

(67) What is the smallest number by which 2880 must be divided in order to make it into a perfect square ?
(a) 3                 (b) 4                 (c) 5                 (d) 6
Ans. (c)

(68) A father is 30 years older than his son however he will be only thrice as old as the son after 5 years what is father s present age ?
(a) 40 yrs                 (b) 30 yrs                 (c) 50 yrs                 (d) none of these
Ans. (a)

(69) An article sold at a profit of 20% if both the cost price and selling price would be Rs.20/- the profit would be 10% more. What is the cost price of that article?

(70) If an item costs Rs.3 in 99 and Rs.203 in 00.What is the % increase in price?
(a) 200/3 %                 (b) 200/6 %                 (c) 100%                 (d) none of these                

Ans. (a)

(71) 5 men or 8 women do equal amount of work in a day. a job requires 3 men and 5 women to finish the job in 10 days how many woman are required to finish the job in 14 days.
a) 10                 b) 7                 c) 6                 d) 12                                                                

Ans. (b)

(72) A simple interest amount of rs 5000 for six month is rs 200. what is the anual rate of interest?
a) 10%                 b) 6%                 c) 8%                 d) 9% 
Ans. (c)

(73) In objective test a correct ans score 4 marks and on a wrong ans 2 marks are ---. a student score 480 marks from 150 question. how many ans were correct?
a) 120                 b) 130                 c) 110                 d) 150 
Ans. (b)

(74) An artical sold at amount of 50% the net sale price is rs 425 .what is the list price of the artical?
a) 500                 b) 488                 c) 480                 d) 510 (
Ans. (a)

(75) A man leaves office daily at 7pm A driver with car comes from his home to pick him from office and bring back home.One day he gets free at 5:30 and instead of waiting for driver he starts walking towards home. In the way he meets the car and returns home on car He reaches home 20 minutes earlier than usual. In how much time does the man reach home usually?? 
(Ans. 1hr 20min)

(76) A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?

Ans. 22½days

(77) How many 1 s are there in the binary form of 8*1024 + 3*64 + 3 
Ans. 4

(78) In a digital circuit which was to implement (A B) + (A) XOR (B), the designer implements (A B) (A) XOR (B) What is the probability of error in it ?

(79) A boy has Rs 2. He wins or loses Re 1 at a time If he wins he gets Re 1 and if he loses the game he loses Re 1.He can loose only 5 times. He is out of the game if he earns Rs 5.Find the number of ways in which this is possible? 
(Ans. 16)

If there are 1024*1280 pixels on a screen and each pixel can have around 16 million colors. Find the memory required for this? 
(Ans. 4MB)

(80) On a particular day A and B decide that they would either speak the truth or will lie. C asks A whether he is speaking truth or lying? He answers and B listens to what he said. C then asks B what A has said B says "A says that he is a liar" What is B speaking ?
(a) Truth                 (b) Lie                 (c) Truth when A lies                 (d) Cannot be determined

Ans. (b)

(81) What is the angle between the two hands of a clock when time is 8:30

Ans. 75(approx)

(82) A student is ranked 13th from right and 8th from left. How many students are there in totality ?

(83) A man walks east and turns right and then from there to his left and then 45degrees to his right.In which direction did he go

(Ans. North west)

placement paper

Latest TCS Fresher Job Interview Paper Pattern : 15-Jan-2011

Company Name : Tata Consultancy Services
Selection Process: Selection Process have divided into Four Rounds:
  • Written Test
  • Technical Interview
  • MR
  • HR
First Round Written Test: Aptitude Test
Written Test 35 Questions
Time : 80 Minutes
There was 35 Simple Aptitude Questions (but lengthy) with Negative Marking (1 Mark For 3 Wrong Answers) You have to attempt 35 question in 80 minute.
In the aptitude test each & every question in the aptitude test was from previous paper as per the new pattern. I attempt 30 uestions which was correct.You can get through if you prepared with previous papers and having a little presence of mind. I m giving u the questions with solution of some of them.
1. (1/2) of a number is 3 more than the (1/6) of the same number?
a) 6
b)7
c)8
d)9
Solution:
Let the number be x,
((1/2)*x)=3+(1/6)*x,
Then solve x
2. 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. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?
a) 43
b) 69
c) 52
d) 31
Solution:
Total age of 6 persons is x hours, after two years total age of 6 persons is x+12 Average age of 6 persons is after two years is 43 So (x+12)/6=43,then solve x,
After 7th person is added then (x+7th person age)/7=45 So we will get 7th person age easily
4.In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?
a) 8
b) none
c) 16
d) 15
Solution: 23 reading spots, Each reading spot consists of 9 chairs placed around it so There are some readers such that in each occupied reading spot there are different numbers of readers. For each table different no of persons are sat,so for first table 1 person is sit,2nd table 2 persons are sit 36
readers means(1+2+3+4+5+6+7+8 so 8 tables are filled so 23-8=15 reading spots does not have single reader.
5. 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)
6. Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?
a) 114
b) 135
c) 21
d) 71
Solution: ,((3*9*5))-((3-2)*(9-2)*(5-2)) so answer is 114.
7. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2
a)8
b) none
c)16
d)15
Solution: substitute x=4y
8. 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
9. 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
Solution: Initially it produces 10 sounds and the defect came and now it produces only 2 different sounds and consecutively so there are totally 2 sounds and we have to select on sound and the probability is ½ and it produces the same sound concecutively for 2 times so the probability becomes ½*1/2 ie ¼
10. 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?
a) 280.5625
b) 240.5625
c) 280.125
d) 240
Solution: add all sides 25+11+31 to get rope length rope length =67,rope is made in to as square  So side of square is 67/4=16.75 and so area is 16.75*16.75=280.5625
11. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?
a) White
b) Black
c) Gray
d) Brown
Solution is: White. above all the matter is nonsense
12. Usha bought a linen cloth and rope to build a tent. If the rope is 153 m long and it is to be cut into pieces of 1m length, then how many cuts are to be made to cut the ropes into 153 pieces?
a)153
b)152
c)154
d)155
Solution: to make it 153 pieces we have to cut 152 times so obviously after last cut we got 153rd piece
13. Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?
a) $27
b) $18
c) $45
d) $486
Solution: See last 3 lines only answer is 45-27=18
14. A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?
Solution: here we cannot consider depreciation or decay of item accto answer so go acc to answer
Totally 5+10=15$profit
15. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?
a) loss 23
b) gain 23
c) gain 54
d) Loss 54
Solution: Loss= Change of money given to john(4$)+actual cycle cost 19$=23$ loss
16. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?
a)1/2
b)1/6
c)1/12
d)6/10
Solution is ½.
17. 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
Solution: 28
18. 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
Solution-6
19. The age of the two friends were in the ration of 6:5. If the sum of their ages is 55. Then after how many years their ratio will become 8:7?
a) 11
b) 7
c) 10
d) 12
Solution: 6x+5x=55, so x=5, put first ratio after substitution is (6*5)/(5*5) and second ratio is 40/35 So difference in numerators 40-30=10 years
20. A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?
a) 46.4
b) 51
c) 53.4
d) 48.6
Solution: Horse takes 3 hours to cover the distance
Pony takes 3+2 =5 hours to cover the same distance, Velocity=distance/time, distance travelled by them is equal it is 81*3=243km, speed of pony=243/5=48.6
21.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, 490/140= 3.5
22. If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b?
A) 13.34
b) 15.73
c) 16.73
d) 9.45
Solution: Solve for a:b:c,then b ratio is b/(a+b+c)*35
23.my teacher says 'start' the girl who is sitting in first row and first column will say 1, then the next girl sitting behind her will say 4, the next girl sitting behind that girl will say 7, in a particular order each girl is telling a number, the following girls told 10, 13 next turn is yours what u will say?
a) 15
b) 17
c) 14
d) 16
Solution: It is a series 1, 4, 7, 10, 13.
24. A person run from A to B.He took ¼ of the time less to reach B when compare to run at normal Speed.Then how many percentage he has increased his speed?
a) 40
b) 44.4
c) 33.3
d) 22.2
Solution: 33.33
25. In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m. If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room?
a) 320
b) 380
c) 340
d) 300
Solution: area of the room is length*breadth=4*5=20m2, For one square meter it takes 17 bricks, For 20m2 total no of bricks are 17*20=340,
26. In a school, for a student out of 100 he got 74 of average for 7 subjects and he got 79 marks in the 8th subject. what is the average of all the subject?
a) 76.251
b) 80.25
c) 74.265
d) 74.625
Solution: Total marks=74*7=518, then average=(518+79)/8=74.625
27. Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?
a) 8
b) All are equally likely
c) 9
d) 10
Solution: Calculate how many times 8,9,10 will come when we throw 2 dice, and answer
28. 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
29. Here 10 Program , 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
Ans: 10
30. 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.
Ans: d
31. 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
Ans: 5/9
32. 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)12
b)11
c)13
d)18
Ans: 18
33. 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.
Ans: c
34. 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
a)1/2
b)14/19
c)37/38
d)3/4
Ans: 14/19
35. A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?
a) 3 red and 3 blue faces
b) 2 red and remaining blue
c) 6 red and 0 blue
d) 4 red and remaining blue
Ans: a
Second Round: Technical Interview
Time: 15 Minutes
Question of Technical Rounds
  • Tell me about yourself
  • Your subject of interest
  • Simple program of c find the largest number
  • Draw the nand gate
  • Truth table of nand gate
Third Rounds : MR
Time : 10 Minutes
IN MR round I have to take the interview of my friend After taking interview interviewer asked me will you select him or not?
Fourth Round : HR
Time : 20 Minutes
Question of HR Rounds
  • Tell me about yourself
  • Why you want to join TCS?
  • U R from electrical and electronics branch then why you want to join TCS?
  • Your strength
  • AIM of your life
  • Will you able to work in night shift
  • are you ready to go in foreign countries
  • Do want to ask any question
Date of Interview : 15-Jan-2011
No. of Rounds :
Aptitude Test, Technical Round-1, Client/Manager Interview