**TCS aptitude and analytical questions**

Q1) 1/2 of a number is 3 more than 1/6th of the same number. What is the number?

a) 6

b) 7

c) 8

d) 9

e) None of these

Q2) There are two pipes A and B. If A fills 10 litres per hour, B’s filling rate doubles after every hour starting with 10 litres in first hour (i.e. 10, 20, 40, 80, 160 litres and so on per hour). If B filled in 1/16 of a tank in 3 hours, how many hours will it take to fill the tank completely?

a) 9

b) 18

c) 27

d) 46

e) None of these

Q3. Four men are standing in a market. The average age of all, four years ago was 45 years. Now one man joins them and his age is 49 years. What is the new average age (in years) of all combined together?

a) 43

b) 45

c) 47

d) 49

e) None of these

Q4) A person is climbing a rock at an altitude of 800 m. He goes up at 7 mph. and comes down at 9 mph. What is his average speed?

a) 7.875 mph

b) 7.125 mph

c) 7mph

d) 7.5 mph

e) None of these

Q5) Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube, of the same shape and size?

a) 98

b) 104

c) 100

d) 61

e) None of these

Q6) Find the missing term in the following series: 5, 3, 12, 7, 26, 15, ?

a) 54

b) 27

c) 108

d) 31

e) None of these

Q7) A car manufacturer produces only red and blue models which come out of the final testing area at random. What are the odds (probability) that five consecutive cars of same colour will come through the test area at any one time?

a) 1 in 16

b) 1 in 125

c) 1 in 32

d) 1 in 25

e) None of these

Q8) 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) 280.5625cm²

b) 240.5625cm²

c) 280.125cm²

d) 240cm²

e) None of these

Q9) Usha bought a linen cloth and a 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 rope into 153 pieces?

a) 153

b) 152

c) 154

d) 155

e) None of these

Q10) A person buys a horse for 15 pounds. 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 overall profit percent for that person over both the transactions?

a) 15%

b) 33.33%

c) 45%

d) 60%

e) None of these

Q11) In a family there are some boys and girls. All boys told that they are having equal number of brothers and sisters and girls told that they are having twice the number of brothers than sisters. How many boys and girls are present in the family?

a) 4 boys and 3 girls

b) 3 boys and 4 girls

c) 2 boys and 5 girls

d) 5 boys and 2 girls

e) None of these

Q 12) If 10 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes?

a) 10!

b) 10*10

c) 10*9

d) 45

e) None of these

Q13) My name is PREET. But my son accidentally types the name by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?

a) 5 %

b) 10%

c) 20%

d) 25%

e) 12.5%

Q14) If there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 58?

a) 10

b) 33

c) 22

d) 44

e) None of these

Q15) The ages of two friends is in the ratio of 6:5.If the sum of their ages is 66. Then after how many years will the ratio become 7:6?

a) 11

b) 6

c) 10

d) 12

e) None of these

Q16) A volume of 10936 liters water is in a container of the shape of a sphere. How many semi spheres of volume 4 liters each will be required to transfer all the water into the small semi spheres?

a) 2812

b) 8231

c) 2734

d) 4222

e) None of these

Q17) A person is building a house. He bought 20 ropes of wire that has a density of 300 Kg/m3.The height of the building to be constructed is 40 m. If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts. Then what will be the opposing force to the current of the wire used?

a) 2 Ω

b) 4 Ω

c) 8 Ω

d) 1600 Ω

e) None of these

Q18) A man walks 50km towards north, then he turns left and walks 40km, then he turned right. In which direction is he facing now?

a) North

b) South

c) East

d) West

e) None of these

Q19) In T.Nagar the buildings are numbered from 1 to 100. How many 6’s will be present in the numbers?

a) 18

b) 19

c) 20

d) 21

e) None of these

Q20) If the Valentine’s Day in 2005 falls on Monday, then on which day will the Valentine’s Day fall in 2010?

a) Saturday

b) Thursday

c) Wednesday

d) Sunday

e) None of these

Q21) A man has 3 grand children. The age difference between any two children is 3 years. The eldest child’s age is 3 times the youngest child’s age and the eldest child’s age is two times the sum of the ages of the other two children. Find what is the age of the eldest child?

a) 18

b) 22

c) 30

d) Cannot be determined

e) None of these

Q22) Find the value of sin 75° + sin 15° = ?

cos 75° + cos 15°

a) 1

b) 2

c) √3/2

d) Cannot be determined

e) None of these

Q23) 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 direction at 15 m/s. When will all the three meet for the first time on the track after the start?

a) After 4 s

b) After 50 s

c) After 100 s

d) After 200 s

e) None of these

Q24) On planet Zorba, a solar blast has melted the ice caps on its equator. Eight years after the ice melts, tiny planetoids called Echina start growing on the rocks. Echina grows in the form of a circle and the relationship between the diameter of this circle and the age of Echina is given by the formula d = 4 * √ (t – 8) for t ≥ 8, where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the age of some Echina at a particular spot as 24 years. What is diameter of the Echina circle?

a) 8

b) 16

c) 25

d) 21

e)None of the

Q25) A man whose age is 45 yrs has 3 sons named John, Jill and Jack. He visits a park twice in a week. He loves his sons very much. On a certain day, he found the shopkeepers selling different things. An apple costs 1 penny, 2 chocolates cost 1 penny & 3 bananas cost 1 penny. He has bought equal number of apples, chocolates & bananas for each son. If the total amount he invests is 7 penny, then how many fruits has he bought for each son?

a)1 apple, 1 chocolate, 1 banana

b)1 apple, 2 chocolates, 3 bananas

c)1 apple, 2 chocolates,1banana

d) None of these

Q26) The vertices of Δ ABC are point A (7,9), B(3,-7), C(3,-3). Which of the following is true?

a) ABC is a right-angled triangle

b) ABC is an equilateral triangle

c) ABC is an isosceles triangle

d) Both (a) & (c)

e) None of these

Q27) 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°. Find the height of the tower?

a) 9m

b) 18m

c) 20m

d) 27m

e) None of these

Q28) If x+y=25 and x2y3 + y2x3=25, what is the value of xy?

a) 0

b) +1

c) 5

d) 4

e) None of these

Q29) A person is entitled to receive an annual payment which for each year is less by 1/10th of what it was for the year before. If the first payment is Rs. 100, then find the maximum possible payment which he can receive however long he may live?

a) Rs.900

b) Rs.9999

c) Rs.1000

d) Rs.9000

e) None of these

Q30) In the reading room of a library, there are 10 reading spots. Each reading spot consists of a round table with 4 chairs placed around it. There are some readers such that in each table there are different numbers of people seated. If in all there are 10 readers, then how many reading spots do not have even a single reader?

a) 8

b) 6

c) 2

d) 7

e) None of these

Q31) A girl has to make pizzas with different toppings. There are eight different toppings. In how many ways can she make pizzas with two different toppings?

a) 16

b) 56

c) 112

d) 28

e) None of these

Q32) Read the following statements and answer the questions that follow?

a) Seeta, Rajinder and Surinder are children of Mr. and Mrs. Maudgil

b) Renu,Raja and Sunil are children of Mr. and Mrs. Bhaskar

c) Sunil and Seeta are married and Ashok and Sanjay are their children

d) Geeta and Rakesh are children of Mr. and Mrs. Jain

e) Geeta is married to Surinder and has three children named Rita, Sonu

and Raju.

How is Rajinder related to Raju?

a) brother

b) uncle

c) brother in law

d) cousin

e) maternal uncle

Q33) There are 1000 pillars in a temple. Three friends Linda, Chelsea and Julia visited that temple. Linda is taller than Chelsea, who is taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?

a) Linda is shorter among them

b) Chelsea is taller than Julia

c) Chelsea is shorter than Julia

d) Cannot determine who is taller between Chelsea and Julia

e) None of these

Q34) Fred is a researcher at the Sun Computer Centre. He is also a jazz musician. He wrote a program that recognized his pattern of musical play and predicted his notes. Notes were first converted to numbers through complex statistical techniques. The first few numbers are 26,25,23,20 and 16. What should come next?

a) 13

b) 12

c) 11

d) 10

e) None of these

Q35) For a journey the cost of a child ticket is 1/3rd of the cost of an adult ticket. If the cost of the ticket for 4 adults and 5 children is Rs. 85, what is the cost of a child ticket?

a) Rs.5

b) Rs.6

c) Rs. 10

d) Rs.15

e) None of these

Directions for Q36 to Q40: Read the following passage carefully and answer the questions that follow:

Mr. Harding was not a happy man as he walked down the palace pathway, and stepped out into the close. His position and pleasant house were a second time gone from him; but that he could endure. He had been schooled and insulted by a man young enough to be his son; but that he could put up with. He could even draw from the very injuries which had been inflicted on him some of that consolation which, we may believe, martyrs always receive from the injustice of their own sufferings. He had admitted to his daughter that he wanted the comfort of his old home, and yet he could have returned to his lodgings in the High Street, if not with exultation, at least with satisfaction, had that been all. But the venom of the chaplain’s harangue had worked into his blood, and sapped the life of his sweet contentment.

‘New men are carrying out new measures, and are carting away the useless rubbish of past centuries!’

What cruel words these had been- and how often are they now used with all the heartless cruelty of a Slope! A man is sufficiently condemned if it can only be shown that either in politics or religion he does not belong to some new school established within the last score of years. He may then regard himself as rubbish and expect to be carted away. A man is nothing now unless he has within him a full appreciation of the new era; an era in which it would seem that neither honesty nor truth is very desirable, but in which success is the only touchstone of merit. We must laugh at everything that is established. Let the joke be ever so bad, ever so untrue to the real principles of joking; nevertheless, we must laugh – or else beware the cart. We must talk, think, and live up to the spirit of the times, or else we are nought. New men and new measures, long credit and few scruples, great success or wonderful ruin, such are now the tastes of Englishmen who know how to live! Alas, alas! Under such circumstances, Mr. Harding could not but feel that he was an Englishman who did not know how to live. This new doctrine of Mr. Slope and the rubbish cart sadly disturbed his equanimity. ‘The same thing is going on throughout the whole country!’ ‘Work is now required from every man who receives wages!’ And had he been living all his life receiving wages, and doing no work? Had he in truth so lived as to be now in his old age justly reckoned as rubbish fit only to be hidden away in some huge dust-hole? The school of men to whom he professes to belong, the Grantlys, the Gwynnes, are afflicted with no such self-accusations as these which troubled Mr. Harding. They, as a rule, are as satisfied with the wisdom and propriety of their own conduct as can be any Mr. Slope, or any Bishop with his own. But, unfortunately for himself, Mr. Harding had little of this self-reliance. When he heard himself designated as rubbish by the Slopes of the world, he had no other resource than to make inquiry within his own bosom as to the truth of the designation. Alas, alas! The evidence seemed generally to go against him.

Q36) The main cause of Mr. Harding’s unhappiness as he leaves the Bishop’s Palace is

a) the loss of his house

b) the loss of his position

c) the need to live with his daughter

d) the thought-provoking words of the chaplain

e) the injustice he has suffered

Q37) Mr. Hardings is talking of an era where what matters is only

a) either truth or honesty

b) belonglin to the new school in Politics or religion

c) Success as a Touchstone

d) not to make fun of the established

e) all of the above.

Q38) The word ‘equanimity’ (line 20) most nearly means

a) status

b) happiness

c)justice

d)complacency

e) composure

Q39) It can be inferred that Mr Harding is especially disturbed because he

a) does not feel himself to be old

b) is offended by the young man’s impertinence

c) believes no one else feels as he does

d) believe his life’s work has been worthwhile

e) feels there may be some truth in regarding himself as ‘rubbish’

Q40) Mr. Harding differs from others of his ‘school’ (line 23) because they

a) do not believe Slope

b) have never been called ‘rubbish’

c) are sure their conduct is irreproachable

d) have already examined their consciences

e) feel that Mr. Harding is not one of them