tcs aptitude

Ramu & sangeetha went for biological analysis to a island which is 34km from their place. They travelled in a boat which went at a speed of 2m/s. when they are in half a distance in the boat sangeetha note there are 7 leg & 8 leg octopuses under the water. Ramu counted the total number of legs of octopuses and got 54. Sangeetha instantly said I know how many 7 leged octopuses are there under the water. They both reached the island after 20 min they left . How many seven leged octopuses does sangeetha calculate?

Person travels from A- to b in 9km/hr, and B to A in 4 Km/hr. What is the average speed?

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

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

4) An equation of the form 4x+6y-2z=32 . Find the difference between x intercept and z intercept?Ans: x/a+y/b+z/c=

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

6) 20men and 20 women are there, they dance with each other, is there possibilty that 2 men are dancing with same women and vice versa.

7) 10 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence.

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

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

10) A piza shop made pizzas with to flavours. In home there are ‘9’ different flavors, in that ‘2’ flavors are taken to made piza in how many ways they can arrange?

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

12) 4 years before Paul’s age is 3times the Alice age and the present age of Paul is 6times the Alice. What is the presents Paul’s age?

13) In a question, last part has, the ages of two people has the ratio of 6:5 and by adding the numbers we get 55, after how many years the ratio would be 8:7?

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

15) Question based on V=I*R but in dis question most of data given are ridiculas like volume, density, length, height similar long story are given

16) Peter and Paul are two friends. The sum of their ages is 42 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?

17) A horse chases a pony 2 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 81 kmph, what s the average speed of the pony? (This question was really long with loads of irrelevant statement)

18) Difference between two numbers is 4 and their product is 17. Then find the sum of their squers?

19) A, B, C, D, E are there among A, B, C are boys and D, E are girls D is to the left of A and no girl sits at the middle and at the extemes. Then what is the order of their sittings.

20) Some ages problem, then asked the answer in binary.

21) Some denominations question like you have 31 paise, and ticket cost is between 1 to 31, you have to give the exact denominations for the ticket. Find all the no. of possible denominations you may prdict and you must be left wid atleast few paise?

22) Direction problems. A man goes 50 km North, then turned left walked 40 km, then turned right? In which direction is he in?

1) If an old women's age is the same as her three grand daughters i, mean the number of days old child=the no of weeks old child=no of months old child. The total years of all these ppl is 114 years then how old is the old woman?

2) There was a piece of cloth which is 135 miles long and 35ft wide and some nonsense again then he wants to divide the cloth into pieces with one mile each if he took 7 secs for cutting piece. What is the time taken for cutting the whole of the cloth into pieces?

3) A woman had somany gloves and hats 22 red,34 blue, 45 white there was power cut and she took a glove and how many gloves shud she take so that she gets a pair of glove fr each color?

4) Problem on ((a3-b3)/(a2-ab-b2))=(a-

6) Parateeka(Bird)

7) If a person climbed a hill which was 200 mtrs high. The average speed while climbing was 23 mph and while coming down was 30 mph. Then what is the average speed of his journey?

8) If the are 2 containers of 1 ltr each. I had Pepsi and another water. If one spoon from Pepsi was taken and added in water and then frm the mixed container of water one spoon was taken and added in Pepsi..

9) If the area was hit by a virus and so the decrease in the population because of death was x/3 and the migration from other places increased a population by 2x then annually it had so many ppl. find our the population in the starting.

10) If the milk and water was added in 5:4 ratio then how much more water should be added so he gets the ratio of 6:7.(Not exact question but something like that)

11) A tank fills in the squence of 10, 20 ,40,80.... (means 10 litre in 1 hr, 20 litr i 2nd nd so). If at the 4th hour the tank is 1/4 full when will it be full?

12) 2 very simple questions on ages like if 3 years back i was 2 times of my friends age and so and so. If you know the basic concept you will be able to solve that.

13) There are only bicycles and 4-wheelers in the parking. If the total number of wheels are 240.

What can be the possible number of cycles?

Ans: 2x+ 4y= 240

14) The cost of making robot is divided into cost of material, Cost of repairing nd cost of painting in the ratio of 5: 2: 3 the cost usd for material is 200. Find the total cost of making the robot?

15) If jack lies on Mon, Tue Wed and jill lies on Thursday, Friday and Saturday. If both together tell they lied yesterday. So c the given options and then c cos in the given dates one will be saying the truth and one will be lying. I got Thursday as option because jack is saying the truth he lied yest but jill is lying again as he lies on that day.

16) Scientist starts from his base camp from North (my friend got North Pole) chases after a Bear etc.

Answer lies in the first sentence that says that Bear's Color changes according to the weather. As far as i know there are 2 kinds of bears. The Normal ones which are Black and the Polar Bears which are white. Polar Bears are present only in the North and South poles (Arctic and Antarctica). I chose white i am not sure if that was correct (if it was North Pole white is the correct answer)

17) Seamstress makes a cut on a piece of cloth in 3 secs. If she wants to cut the cloth into 11 pieces. How much time would it take. (My friend got the same question with different values)

18) A lady is trying to pick gloves and hats from her wardrobe in the dark. She has 22 white and 33 green ones. She wants to pick a pair of gloves of white and green. How many tries before she gets it right?

20) A man was standing before a painting of a person . He says "Brothers and sisters i have none . The man's father is my father's son" . (I love poems ) . How is the person in the painting related to this man .

21) 2 buckets with milk and water. A person takes a cup from the bucket with water and pours into the bucket with milk and takes a cup from the milk (mixed with water now) and pours into the bucket with water.

22) A problem on cuboids

23) Rapunzel walks into the forest of forgetfullness. She meets a Lion who lies on Monday Tuesdays and Wednesdays and meets a rabbit who lies on Thurs fridays and saturdays . On that day both say that "I lied yesterday". What day is it .

24) 4 Guys standing in a queue in a supermarket. Their average weight is 43. 1 more guy joins the queue and the average weight changes to 42. What is the weight of the new guy.

25) Another standard Problem on Ages

26) T-Nagar problem

30) There was a scientist who after doing research, found that color of skin of animals vary with change in distance. One day he started to chase a beer. He walked 1 mile towards north, then turned and walked 1 mile towards east and then caught the beer and radio-ribboned the beer. Then he left the beer at that spot and returned to his base-station taking a turn towards south (walked 1 mile towards south). Then what was the color of beer at that spot?

10)Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?

a) 3rd b) 6th c) 9th d) 7th

12)The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond. A programmer sends a program to receiver. There it waits for 10 milliseconds. And response will be back to programmer in 20 milliseconds. How much time the program takes to get a response back to the programmer, after it is sent?

Ans 30 milliseconds

1)Two stations A & B are 110 km apart. one train starts from A at 7 am, and travels towards B at 20kmph. another train starts from B at 8 am and travels towards A at 25kmph. at what time will they meet?

a. 9 am b. 10 am c. 11 am d. 10.30 am

1)A is driving on a highway when the police fines him for overspeeding and exceeding the limit by 10 km/hr.At the same time B is fined for overspeeding by twice the amount by which A exceeded the limit.If he was driving at 35 km/hr what is the speed limit for the road?

Ans. 15 kmph

Sol: Let 'x' be the speed limitPerson 'A' was fined for exceeding the speed limit by = 10mphPerson 'B' was fined for exceeding the speed limit by = twice of 'A' = 2*10mph=20mphgiven that the second person was traveling at the speed of 35mph=> 35mph - 20mph = 15mph

2)A car travels 12 kms with a 4/5th filled tank.How far will the car travel with 1/3 filled tank?

Ans. 5 kms

3) falling height is proportional to square of the time. one object falls 64cm in 2sec than in 6sec from how much height the object will fall.

576

4)A car has run 10000 miles using 5 tyres interchangably,To have a equal wornout by all tyres how many miles each tyre should have run.

Answer 4000 miles/tyre

5)A person, who decided to go to weekened trip should not exceed 8 hours driving in a day. Average speed of forward journey is 40 m/h. Due to traffic in sundays, the return journey average speed is 30 m/h. How far he can select a picnic spot?

a) 120 miles b) between 120 and 140 miles c) 160 miles

Ans: 120 miles

6)A ship started from port and moving with I miles per hour and another ship started from L and moving with H miles per hour. At which place these two ships meet?

|----|----|----|----|----|----|port G H I J K L

7) A bus started from bustand at 8.00am, and after 30 minutes staying at destination, it returned back to the busstand. The destination is 27 miles from the busstand. The speed of the bus is 18mph. In return journey bus travels with 50% fast speed. At what time it returns to the busstand?

(11.00am).

9) wind flows 160 miles in 330 min, for 80 miles how much time required.

165

10)A storm will move with a velocity of towards the centre in hours,At the same rate how much far will it move in hrs.

( but the answer is 8/3 or 2 2/3 )

11)If A is traveling at 72 km per hour on a highway. B is traveling at a speed of 25 meters per second on a highway. What is the difference in their speeds in meters per second?

(a) 1/2 m/sec (b) 1 m/sec (c) 1 1/2 m/sec (d) 2 m/sec (e) 3 m/sec

12)A traveler walks a certain distance. Had he gone half a kilometer an hour faster , he would have walked it in 4/5 of the time, and had he gone half a Kilometer an hour slower, he would have walked 2 ? hr longer. What is the distance

a)10 Km b)15 Km c)20 Km d)Data Insufficient

13) A ship leaves on a long voyage. When it is 18 miles from the shore, a seaplane, whose speed is 10 times that of the ship is sent to deliver mail. How far from the shore does the seaplane catch upo with the ship?

a) 24 miles b) 25 miles c) 22 miles d) 20 miles

14) In a circular race track 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 on the after the start?

a)after 4s b)after 50s c)after 100s d)after 200s

15) If the distance traveled (s) in time (t) by a partile is given by the formula s = 1+ 2t+3t2+4t3 , then what is the distance travelled in the 4th second of its motion?

a) 141m b) 171m c) 243 m d) 313 m

16) A non stop bus to Amritsar overtakes an auto also moving towards Amritsar at 10 am. The bus reaches Amritsar at 12.30 pm and starts on the return journey after 1 hr. On the way back it meets the auto at 2 pm. At what time the auto will reach Amritsar?

a) 2.30pm b) 3.00pm c) 3.15pm d) 3.30pm

TIME AND WORK:

1)A is twice efficient than B. A and B can both work together to complete a work in 7 days. Then find in how many days A alone can complete the work?

10.5 (11)

2)A finish the work in 10 days. B is 60% efficient than A. So how days does B take to finish the work?

Ans 100/6 (4 days)

3) A finishes the work in 10 days & B in 8 days individually. If A works for only 6 days then how many days should B work to complete A's work?

Ans 3.2 days (4 days)

4)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?

Ans 16

5)If 20 men take 15 days to to complete a job, in how many days can 25 men finish that work?

Ans. 12 days

6) one fast typist type some matter in 2hr and another slow typist type the same matter in 3hr. if both do combinely in how much time they will finish.

Ans: 1hr 12min

7)A man shapes 3 cardboards in 50 minutes,how many cardboards does he shape in 5 hours?

Answer 18cardboards.

8)A work is done by two people in 24 min. one of them can do this work a lonely in 40 min. how much time required to do the same work for the second person.

Sol:(A+B) can do the work in = 1/24 min.A alone can do the same work in = 1/40 min.B alone can do the same work in = (A+B)'s - A's = 1/24 - 1/40 = 1/60Therefore, b can do the same work in = 60 min

9)A can do a piece of work in 20 days, which B can do in 12 days. In 9 days B does ? of the work. How many days will A take to finish the remaining work?

10)Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?


11) 3 men finish painting a wall in 8 days. Four boys do the same job in 7 days. In how many days will 2 men and 2 boys working together paint two such walls of the same size?

a) 6 6/13 days b) 3 3/13 days c) 9 2/5 days d) 12 12/13 days

12)The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond. A programmer sends a program to receiver. There it waits for 10 milliseconds. And response will be back to programmer in 20 milliseconds. How much time the program takes to get a response back to the programmer, after it is sent?

Ans 30 milliseconds

TRAINS:

1)Two stations A & B are 110 km apart. one train starts from A at 7 am, and travels towards B at 20kmph. another train starts from B at 8 am and travels towards A at 25kmph. at what time will they meet?

a. 9 am b. 10 am c. 11 am d. 10.30 am

TREE:

1) 900 m wide 3000 m width something i can't remember some values are given by air per m rs. 4 by ground per m rs. 5 then where u will cut

2)Two trees are there. one grows at 3/5 of the other in 4 years, total growth of trees is 8 ft. what growth will smaller tree will have in 2 years ( < 2 ft. ) ie 1 ? feet

TRIANGLES:

1) Given the length of the 3 sides of a triangle. Find the one that is impossible?

(HINT : sum of smaller 2 sides is greater than the other one which is larger)

2)3 angles or 3 sides r given.Which will form a triangle?

UNITS:

1)(Momentum*Velocity)/(Acceleration * distance ) find units.

Ans mass

2)(energy * time * time )/(mass * dist) = distance

3)(momentum * velocity)/(force * time) = velocity

4)Find the physical quantity in units from the equation:

WEIGHTS:

1)There are 150 weights .Some are 1 kg weights and some are 2 kg weights. The sum of the weights is 260.What is the number of 1kg weights?

Ans. 40

2)A truck contains 150 small packages, some weighing 1 kg each and some weighing 2 kg each. how many packages

weighing 2 kg each are in the truck if the total weight of all the packages is 264 kg?

(a) 36 (b) 52 (c) 88 (d) 124 (e) 114

1) The number 362 in decimal system is given by (1362)x in the X system of numbers find the value of X

a}5

b) 6

c) 7

d) 8

e) 9

2) Decimal no 319 is equal to 1234.This 1234 belongs to which Number systems

3)194 base 10 = ____ base 5 (1234)

4) In which of the system, decimal number 194 is equal to 1234?

ANS:5

5) Convert the decimal number 310 to the base 6.

Ans: 1234

6) Find the value of the decimal number to the base 7.

Ans. 1436.



Ans 5

9) Find the value of the 678 to the base 7.

ans 1656

10)The base 5 representation of the decimal number 2048 is _____.

Q.6. There are some chocolates. A woman can eat 3chocolates and a man can eat 1 chocolate and a child can eat half chocolate.

then 20 chocolates is divided in...

Ans. Go through the options( 5Woman, 3man, 4children).

Q.7. A water tank is filled in the way as 256,128,64,... th parts in every hour, then in how many hours the tank will filled?

Ans. 256,128,64,32,16,8,4,2,1 ( 9 hours) values are not same..

Q.8. The age of Ram and Sayam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age of Sayam?

Ans. 12years (names and values may change)

Q.8. The age of Ram and Sayam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age of Sayam?

Ans. 12years (names and values may change)

Q.7. A water tank is filled in the way as 256,128,64,... th parts in every hour, then in how many hours the tank will filled?

Ans. 256,128,64,32,16,8,4,2,1 ( 9 hours) values are not same..

Q.5. In school there are some bicycles and 4wheeler wagons.one Tuesday there are 190 wheels in the campus. How many bicycles

are there?

Ans. 15

56) What is the number of zeros at the end of the product of the numbers from 1 to 100

Sol) For every 5 in unit palce one zero is added Ch eta naS

so between 1 to 100 there are 10 nos like 5,15,25,..,95 which has 5 in unit place.

Similarly for every no divisible by 10 one zero is added in the answer so between 1 to 100 11 zeros are added

for 25,50,75 3 extra zeros are added

so total no of zeros are 10+11+3=24

21) The temperature at Mumbai is given by the function: -t2/6+4t+12 where t is the elapsed time since midnight.

What is the percentage rise (or fall) in temperature between 5.00PM and 8.00PM?

22) Low temperature at the night in a city is 1/3 more than 1/2 high as higher temperature in a day. Sum of the low

temperature and highest temp. is 100 degrees. Then what is the low temp?

24) A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53 and the product went up

by 540. What was the raised product?

a) 780

b) 1040

c) 1590

d) 1720

Sol) x*53-x*35=540=> x=30 therefore, 53*30=1590 Ans

40) In a company 30% are supervisors and 40% employees are male if 60% of supervisors are male. What is the probability? That a randomly chosen employee is a male or female?Sol) 40% employees are male if 60% of supervisors are male so for 100% is 26.4%so the probability is 0.264

41) In 80 coins one coin is counterfeit what is minimum number of weighing to find out counterfeit coin

Sol) the minimum number of wieghtings needed is just 5.as shown below (1) 80->30-30 (2) 15-15 (3) 7-7 (4) 3-3 (5) 1-1

42) 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10. What is the cost of 3 oranges, 3 bananas and 3 apples?

2x+3y+4z=153x+2y+z=10 adding5x+5y+5z=25x+y+z=5 that is for 1 orange, 1 bannana and 1 apple requires 5Rs.so for 3 orange, 3 bannana and 3 apple requires 15Rs.i.e. 3x+3y+3z=15

53) There is a six digit code. Its first two digits, multiplied by 3 gives all ones. And the next two digits multiplied by 6 give all twos. Remaining two digits multiplied by 9 gives all threes. Then what is the code?

sol) Assume the digit xx xx xx (six digits)First Two digit xx * 3=111 xx=111/3=37( first two digits of 1 is not divisible by 3 so we can use 111)Second Two digit xx*6=222 xx=222/6=37( first two digits of 2 is not divisible by 6 so we can use 222)Thrid Two digit xx*9=333 xx=333/9=37( first two digits of 3 is not divisible by 9 so we can use 333)

51) Ram singh goes to his office in the city every day from his suburban house. His driver Mangaram drops him at the railway station in the morning and picks him up in the evening. Every evening Ram singh reaches the station at 5 o'clock. Mangaram also reaches at the same time. One day Ram singh started early from his office and came to the station at 4 o'clock. Not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back house, half an hour early. How much time did Ram singh walked?

50) A man has to get air-mail. He starts to go to airport on his motorbike. Plane comes early and the mail is sent by a horse-cart. The man meets the cart in the middle after half an hour. He takes the mail and returns back, by doing so, he saves twenty minutes. How early did the plane arrive?

Ans:10min:::assume he started at 1:00,so at 1:30 he met cart. He returned home at 2:00.so it took him 1 hour for the total jorney.by doing this he saved 20 min.so the actual time if the plane is not late is 1 hour and 20 min.so the actual time of plane is at 1:40.The cart travelled a time of 10 min before it met him.so the plane is 10 min early.

49) One tank will fill in 6 minutes at the rate of 3cu ft /min, length of tank is 4 ft and the width is 1/2 of length, what is the depth of the tank?

3 ft 7.5 inches

62) Falling height is proportional to square of the time. One object falls 64cm in 2sec than in 6sec from how much height the object will fall.

Sol) The falling height is proportional to the squere of the time.

Now, the falling height is 64cm at 2secso, the proportional constant is=64/(2*2)=16;so, at 6sec the object fall maximum (16*6*6)cm=576cm;Now, the object may be situated at any where.if it is>576 only that time the object falling 576cm within 6sec .Otherwise if it is situated<576 then it fall only that height at 6sec.

63) Gavaskar average in first 50 innings was 50. After the 51st innings his average was 51 how many runs he made in the 51st innings

Ans) first 50 ings.- run= 50*50=250051st ings.- avg 51. so total run =51*51=2601.so run scored in that ings=2601-2500=101 runs.

64) Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?


Ans is d) 7th day

Sol) In d 1st day Anand does 1/7th of total worksimilarly,Bithu does 1/8th work in d 2nd dayhence at d end of 3 days, work done = 1/7+1/8+1/6=73/168

remaining work = (168-73)/168 = 95/168again after 6 days of work, remaining work is = (95-73)/168 = 22/168and hence Anand completes the work on 7th day.(hope u understood.)

65) A man, a women and a child can do a piece of work in 6 days,man can do it in 14 days, women can do it 16 days, and in how many days child can do the same work?

The child does it in 24 days

66)A: 1 1 0 1 1 0 1 1B: 0 1 1 1 1 0 1 0C: 0 1 1 0 1 1 0 1Find ( (A-B) u C )==?

Hint : 109

A-B is {A} - {A n B}A: 1 1 0 1 1 0 1 1B: 0 1 1 1 1 0 1 0by binary sub. a-b = 01100001 (1-0=1, 1-1=0,0-0=0, n for the 1st 3 digits 110-011=011)now (a-b)uc= 01100001 or 01101101gives 1101101... convert to decimal equals 109

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