TCS Aptitude Question Paper

Will you please provide the aptitude question paper of Tata Consultancy Services Limited
Company?

[Arun Vats]

List of few Aptitude questions are given below of Tata Consultancy Services Limited
Company :

1) If log 0.317=0.3332 and log 0.318=0.3364 then find log 0.319 ?
Sol) log 0.317=0.3332 and log 0.318=0.3364, then
log 0.319=log0.318+(log0.318-log0.317) = 0.3396

2) A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there ?
Sol) x= 2 kg Packs
y= 1 kg packs
x + y = 150 .......... Eqn 1
2x + y = 264 .......... Eqn 2
Solve the Simultaneous equation; x = 114
so, y = 36
ANS : Number of 2 kg Packs = 114.

3) 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?
6:00 am b) 6:40am c) 7:40 d) 7:00 e) 8:00
Sol) The destination place is 80 degree west to the starting place. Hence the time difference between these two places is 5 hour 20 min. (=24hr*80/360).
When the flight landed, the time at the starting place is 12 noon (2 AM + 10 hours).
Hence, the time at the destination place is 12 noon - 5:20 hours = 6: 40 AM

4) A plane moves from 9°N40°E to 9°N40°W. If the plane starts at 10 am and takes 8 hours to reach the destination, find the local arrival time ?
Sol) Since it is moving from east to west longitide we need to add both
ie,40+40=80
multiply the ans by 4
=>80*4=320min
convert this min to hours ie, 5hrs 33min
It takes 8hrs totally . So 8-5hr 30 min=2hr 30min
So the ans is 10am+2hr 30 min
=>ans is 12:30 it will reach

5) 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? Please tell me the answer with explanation. Very urgent.
Sol) see it doesn't matter that wat the time is being taken to fill the bucket.after reaching program it waits there for 10ms and back to the programmer in 20 ms.then total time to get the response is 20ms +10 ms=30ms...it's so simple....

6) A file is transferred from one location to another in 'buckets'. The size of the bucket is 10 kilobytes. Each bucket gets filled at the rate of 0.0001 kilobytes per millisecond. The transmission time from sender to receiver is 10 milliseconds per bucket. After the receipt of the bucket the receiver sends an acknowledgement that reaches sender in 100 milliseconds. Assuming no error during transmission, write a formula to calculate the time taken in seconds to successfully complete the transfer of a file of size N kilobytes.
(n/1000)*(n/10)*10+(n/100)....as i hv calculated...~~!not 100% sure

7) A fisherman's day is rated as good if he catches 9 fishes, fair if 7 fishes and bad if 5 fishes. He catches 53 fishes in a week n had all good, fair n bad days in the week. So how many good, fair n bad days did the fisher man had in the week
Ans:4 good, 1 fair n 2 bad days
Sol) Go to river catch fish
4*9=36
7*1=7
2*5=10
36+7+10=53...
take what is given 53
good days means --- 9 fishes so 53/9=4(remainder=17) if u assume 5 then there is no chance for bad days.
fair days means ----- 7 fishes so remaining 17 --- 17/7=1(remainder=10) if u assume 2 then there is no chance for bad days.
bad days means -------5 fishes so remaining 10---10/5=2days.
Ans: 4 good, 1 fair, 2bad. ==== total 7 days.

x+y+z=7--------- eq1
9*x+7*y+5*z=53 -------eq2
multiply eq 1 by 9,
9*x+9*y+9*z=35 -------------eq3
from eq2 and eq3
2*y+4*z=10-----eq4
since all x,y and z are integer i sud put a integer value of y such that z sud be integer in eq 4 .....and ther will be two value y=1 or 3 then z = 2 or 1 from eq 4

for first y=1,z=2 then from eq1 x= 4
so 9*4+1*7+2*5=53.... satisfied
now for second y=3 z=1 then from eq1 x=3
so 9*3+3*7+1*5=53 ......satisfied
so finally there are two solution of this question
(x,y,z)=(4,1,2) and (3,3,1)...

8) Y catches 5 times more fishes than X. If total number of fishes caught by X and Y is 42, then number of fishes caught by X?
Sol) Let no. of fish x catches=p
no. caught by y =r
r=5p.
r+p=42
then p=7,r=35

9) Three companies are working independently and receiving the savings 20%, 30%, 40%. If the companies work combinely, what will be their net savings?
suppose total income is 100
so amount x is getting is 80
y is 70
z =60
total=210

but total money is 300
300-210=90
so they are getting 90 rs less
90 is 30% of 300 so they r getting 30% discount

10) The ratio of incomes of C and D is 3:4.the ratio of their expenditures is 4:5. Find the ratio of their savings if the savings of C is one fourths of his income?
Sol) incomes:3:4
expenditures:4:5
3x-4y=1/4(3x)
12x-16y=3x
9x=16y
y=9x/16
(3x-4(9x/16))/((4x-5(9x/16)))
ans:12/19

11) If G(0) = -1 G(1)= 1 and G(N)=G(N-1) - G(N-2) then what is the value of G(6)?
ans: -1
bcoz g(2)=g(1)-g(0)=1+1=2
g(3)=1
g(4)=-1
g(5)=-2
g(6)=-1

12) If A can copy 50 pages in 10 hours and A and B together can copy 70 pages in 10 hours, how much time does B takes to copy 26 pages?
Sol) A can copy 50 pages in 10 hrs.
A can copy 5 pages in 1hr.(50/10)
now A & B can copy 70 pages in 10hrs.
thus, B can copy 90 pages in 10 hrs.[eqn. is (50+x)/2=70, where x--> no. of pages B can copy in 10 hrs.]
so, B can copy 9 pages in 1hr.
therefore, to copy 26 pages B will need almost 3hrs.
since in 3hrs B can copy 27 pages.

13) what's the answer for that :
A, B and C are 8 bit no's. They are as follows:
A -> 1 1 0 0 0 1 0 1
B -> 0 0 1 1 0 0 1 1
C -> 0 0 1 1 1 0 1 0 ( - =minus, u=union)
Find ((A - C) u B) =?

To find A-C, We will find 2's compliment of C and them add it with A,
That will give us (A-C)
2's compliment of C=1's compliment of C+1
=11000101+1=11000110
A-C=11000101+11000110
=10001001
Now (A-C) U B is .OR. logic operation on (A-C) and B
10001001 .OR . 00110011
The answer is = 10111011,
Whose decimal equivalent is 187.

14) One circular array is given(means memory allocation tales place in circular fashion) diamension(9X7) and sarting add. is 3000, What is the address of (2,3)........
Sol) it's a 9x7 int array so it reqiure a 126 bytes for storing.b'ze integer value need 2 byes of memory allocation. and starting add is 3000
so starting add of 2x3 will be 3012.

15) In a two-dimensional array, X (9, 7), with each element occupying 4 bytes of memory, with the address of the first element X (1, 1) is 3000, find the address of X (8, 5).
Sol) initial x (1,1) = 3000 u hav to find from x(8,1)so u have x(1,1),x(1,2) ... x(7,7) = so u have totally 7 * 7 = 49 elementsu need to find for x(8,5) ? here we have 5 elements each element have 4 bytes : (49 + 5 -1) * 4 = 212 -----( -1 is to deduct the 1 element ) 3000 + 212 = 3212

16) Which of the following is power of 3 a) 2345 b) 9875 c) 6504 d) 9833

17) The size of a program is N. And the memory occupied by the program is given by M = square root of 100N. If the size of the program is increased by 1% then how much memory now occupied ?
Sol) M=sqrt(100N)
N is increased by 1%
therefore new value of N=N + (N/100)
=101N/100
M=sqrt(100 * (101N/100) )
Hence, we get M=sqrt(101 * N)

18)
1)SCOOTER --------- AUTOMOBILE--- A. PART OF
2.OXYGEN----------- WATER ------- B. A Type of
3.SHOP STAFF------- FITTERS------ C. NOT A TYPE OF
4. BUG -------------REPTILE------ D. A SUPERSET OF
1)B 2)A 3)D 4)C

19) A bus started from bustand at 8.00a m and after 30 min staying at destination, it returned back to the bustand. the destination is 27 miles from the bustand. the speed of the bus 50 percent fast speed. at what time it returns to the bustand
this is the step by step solution:
a bus cover 27 mile with 18 mph in =27/18= 1 hour 30 min. and it wait at stand =30 min.
after this speed of return increase by 50% so 50%of 18 mph=9mph
Total speed of returnig=18+9=27
Then in return it take 27/27=1 hour
then total time in joureny=1+1:30+00:30 =3 hour
so it will come at 8+3 hour=11 a.m.
So Ans==11 a.m

20) In two dimensional array X(7,9) each element occupies 2 bytes of memory.If the address of first element X(1,1)is 1258 then what will be the address of the element X(5,8) ?
Sol) Here, the address of first element x[1][1] is 1258 and also 2 byte of memory is given. now, we have to solve the address of element x[5][8], therefore, 1258+ 5*8*2 = 1258+80 = 1338 so the answer is 1338.

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?
Sol) Let highest temp be x
so low temp=1/3 of x of 1/2 of x plus x/2 i.e. x/6+x/2
total temp=x+x/6+x/2=100
therefore, x=60
Lowest temp is 40

23) In Madras, temperature at noon varies according to -t^2/2 + 8t + 3, where t is elapsed time. Find how much temperature more or less in 4pm to 9pm. Ans. At 9pm 7.5 more
Sol) In equestion first put t=9,
we will get 34.5...........................(1)
now put t=4,
we will get 27..............................(2)
so ans=34.5-27
=7.5

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

25) How many positive integer solutions does the equation 2x+3y = 100 have?
a) 50 b) 33 c) 16 d) 35
Sol) There is a simple way to answer this kind of Q's given 2x+3y=100, take l.c.m of 'x' coeff and 'y' coeff i.e. l.c.m of 2,3 ==6then divide 100 with 6 , which turns out 16 hence answer is 16short cut formula--- constant / (l.cm of x coeff and y coeff)

26) The total expense of a boarding house are partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there are 100 boarders.
a) 65 b) 55 c) 50 d) 45
Sol)
Let a = fixed cost and k = variable cost and n = number of boarders
total cost when 25 boarders c = 25*70 = 1750 i.e. 1750 = a + 25k
total cost when 50 boarders c = 50*60 = 3000 i.e. 3000 = a + 50k
solving above 2 eqns, 3000-1750 = 25k i.e. 1250 = 25k i.e. k = 50
therefore, substituting this value of k in either of above 2 eqns we get
a = 500 (a = 3000-50*50 = 500 or a = 1750 - 25*50 = 500)
so total cost when 100 boarders = c = a + 100k = 500 + 100*50 = 5500
so cost per head = 5500/100 = 55

27) Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?
a) 37.5% b) 62.5% c) 50% d) None of these
Sol)
Let, 5 pens + 7 pencils + 4 erasers = x rupees
so 10 pens + 14 pencils + 8 erasers = 2*x rupees
also mentioned, 6 pens + 14 pencils + 8 erarsers = 1.5*x rupees
so (10-6) = 4 pens = (2-1.5)x rupees
so 4 pens = 0.5x rupees => 8 pens = x rupees
so 5 pens = 5x/8 rupees = 5/8 of total (note x rupees is total amt paid byamal)
i.e 5/8 = 500/8% = 62.5% is the answer

28) I lost Rs.68 in two races. My second race loss is Rs.6 more than the first race. My friend lost Rs.4 more than me in the second race. What is the amount lost by my friend in the second race?
Sol)
x + x+6 = rs 68
2x + 6 = 68
2x = 68-6
2x = 62
x=31
x is the amt lost in I race
x+ 6 = 31+6=37 is lost in second race
then my friend lost 37 + 4 = 41 Rs

29) Ten boxes are there. Each ball weighs 100 gms. One ball is weighing 90 gms. i) If there are 3 balls (n=3) in each box, how many times will it take to find 90 gms ball? ii) Same question with n=10 iii) Same question with n=9
to me the chances are
when n=3
(i) nC1= 3C1 =3 for 10 boxes .. 10*3=30
(ii) 10C1=10 for 10 boxes ....10*10=100
(iii)9C1=9 for 10 boxes .....10*9=90

30) (1-1/6) (1-1/7).... (1- (1/ (n+4))) (1-(1/ (n+5))) = ?
leaving the first numerater and last denominater, all the numerater and denominater will cancelled out one another. Ans. 5/(n+5)

31) A face of the clock is divided into three parts. First part hours total is equal to the sum of the second and third part. What is the total of hours in the bigger part?
Sol) the clock normally has 12 hr
three parts x,y,z
x+y+z=12
x=y+z
2x=12
x=6
so the largest part is 6 hrs

32) With 4/5 full tank vehicle travels 12 miles, with 1/3 full tank how much distance travels
Sol) 4/5 full tank= 12 mile
1 full tank= 12/(4/5)
1/3 full tank= 12/(4/5)*(1/3)= 5 miles

33) wind blows 160 miles in 330min.for 80 miles how much time required
Sol) 160 miles= 330 min
1 mile = 330/160
80 miles=(330*80)/160=165 min.

34) A person was fined for exceeding the speed limit by 10mph.another person was also fined for exceeding the same speed limit by twice the same if the second person was travelling at a speed of 35 mph. find the speed limit
Sol)
(x+10)=(x+35)/2
solving the eqn we get x=15

35) A sales person multiplied a number and get the answer is 3 instead of that number divided by 3. what is the answer he actually has to get.
Sol) Assume 1
1* 3 = 3
1*1/3=1/3
so he has to got 1/3
this is the exact answer

36) A person who decided to go weekend trip should not exceed 8 hours driving in a day average speed of forward journey is 40 mph due to traffic in Sundays the return journey average speed is 30 mph. How far he can select a picnic spot.

37) Low temperature at the night in a city is 1/3 more than 1/2 hinge as higher temperature in a day. Sum of the low temp and high temp is 100 c. then what is the low temp.
ans is 40 c.
Sol) let x be the highest temp. then,
x+x/2+x/6=100.
therefore, x=60 which is the highest temp
and 100-x=40 which is the lowest temp.

38) car is filled with four and half gallons of oil for full round trip. Fuel is taken 1/4 gallons more in going than coming. What is the fuel consumed in coming up.
Sol) let feul consumed in coming up is x. thus equation is: x+1.25x=4.5ans:2gallons

39) A work is done by the people in 24 min. One of them can do this work alone in 40 min. How much time required to do the same work for the second person
Sol) Two people work together in 24 mins.
So, their one day work is
(1/A)+(1+B)=(1/24)
One man can complete the work in 40mins
one man's one day work (1/B)= (1/40)
Now,
(1/A)=(1/24)-(1/40)
(1/A)=(1/60)
So, A can complete the work in 60 mins.

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=15
3x+2y+z=10 adding
5x+5y+5z=25
x+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

43) In 8*8 chess board what is the total number of squares refers
Sol) odele discovered that there are 204 squares on the board We found that you would add the different squares - 1 + 4 + 9 + 16+ 25 + 36 + 49 + 64.
Also in 3*3 tic tac toe board what is the total no of squares
Ans 14 ie 9+4(bigger ones)+1 (biggest one)
If you ger 100*100 board just use the formula
the formula for the sum of the first n perfect squares is
n x (n + 1) x (2n + 1)
______________________
6
if in this formula if you put n=8 you get your answer 204

44) 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.
Sol) Faster one can do 1/2 of work in one hourslower one can do 1/3 of work in one hourboth they do (1/2+1/3=5/6) th work in one hour.so work will b finished in 6/5=1.2 hour i e 1 hour 12 min.

45) If Rs20/- is available to pay for typing a research report & typist A produces 42 pages and typist B produces 28 pages. How much should typist A receive?
Here is the answer Find of 42 % of 20 rs with respect to 70 (i.e 28 + 42) ==> (42 * 20 )/70 ==> 12 Rs

46) An officer kept files on his table at various times in the order 1,2,3,4,5,6. Typist can take file from top whenever she has time and type it.What order she cannt type.?

47) In some game 139 members have participated every time one fellow will get bye what is the number of matches to choose the champion to be held?
the answer is 138 matches
Sol) since one player gets a bye in each round,he will reach the finals of the tournament without playing a match.
therefore 137 matches should be played to detemine the second finalist from the remaining 138 players(excluding the 1st player)
therefore to determine the winner 138 matches shd be played.

48) One rectangular plate with length 8inches, breadth 11 inches and 2 inches thickness is there. What is the length of the circular rod with diameter 8 inches and equal to volume of rectangular plate?
Sol) Vol. of rect. plate= 8*11*2=176
area of rod=(22/7)*(8/2)*(8/2)=(352/7)
vol. of rod=area*length=vol. of plate
so length of rod= vol of plate/area=176/(352/7)=3.5

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

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.

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?

52) 2 trees are there. One grows at 3/5 of the other. In 4 years total growth of the trees is 8 ft. what growth will smaller tree have in 2 years.
Sol) THE BIG TREE GROWS 8FT IN 4 YEARS=>THE BIG TREE GROWS 4FT IN 2 YEARS.WHEN WE DIVIDE 4FT/5=.8*3=>2.4
ans: 1.5 mt 4 (x+(3/5)x)=88x/5=2x=5/4 after 2 years x=(3/5)*(5/4)*2 =1.5

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)

54) There are 4 balls and 4 boxes of colours yellow, pink, red and green. Red ball is in a box whose colour is same as that of the ball in a yellow box. Red box has green ball. In which box you find the yellow ball?
ans is green...
Sol) Yellow box can have either of pink/yellow balls.
if we put a yellow ball in "yellow" box then it wud imply that "yellow" is also the colour of the box which has the red ball(becoz acordin 2 d question,d box of the red ball n the ball in the yellow box have same colour)
thus this possibility is ruled out...
therefore the ball in yellow box must be pink,hence the colour of box containin red ball is also pink....
=>the box colour left out is "green",,,which is alloted to the only box left,,,the one which has yellow ball..

55) A bag contains 20 yellow balls, 10 green balls, 5 white balls, 8 black balls, and 1 red ball. How many minimum balls one should pick out so that to make sure the he gets at least 2 balls of same color.
Ans:he should pick 6 ball totally.
Sol) Suppose he picks 5 balls of all different colours then when he picks up the sixth one, it must match any on of the previously drawn ball colour.
thus he must pick 6 balls

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
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

57) 10 Digit number has its first digit equals to the numbers of 1's, second digit equals to the numbers of 2's, 3rd digit equals to the numbers of 3's .4th equals number of 4's..till 9th digit equals to the numbers of 9's and 10th digit equals to the number of 0's. what is the number?.(6marks)
ans:2100010006
2---shows that two 1's in the ans
1---shows that one 2 in ans
0---shows no 3 in the ans
0---shows no 4 in the ans
0---shows no 5 in the ans
1---shows one 6 in the ans
0---shows no 7 in the ans
0---shows no 8 in the ans
0---shows no 9 in the ans
6---shows six 0's in the ans

58) There are two numbers in the ratio 8:9. if the smaller of the two numbers is increased by 12 and the larger number is reduced by 19 thee the ratio of the two numbers is 5:9. Find the larger number?
sol) 8x:9x initialy
8x+ 12 : 9x - 19 = 5x:9x
8x+12 = 5x
-> x = 4
9x = 36 not sure about the answer ..

59) There are three different boxes A, B and C. Difference between weights of A and B is 3 kgs. And between B and C is 5 kgs. Then what is the maximum sum of the differences of all possible combinations when two boxes are taken each time
A-B = 3
B-c = 5
a-c = 8
so sum of diff = 8+3+5 = 16 kgs

60) A and B are shooters and having their exam. A and B fall short of 10 and 2 shots respectively to the qualifying mark. If each of them fired atleast one shot and even by adding their total score together, they fall short of the qualifying mark, what is the qualifying mark?
ans is 11
coz each had atleast 1 shot done so 10 + 1 = 11
n 9 + 2 = 11
so d ans is 11

61) A, B, C, and D tells the following times by looking at their watches. A tells it is 3 to 12. B tells it is 3 past 12. C tells it is 12:2. D tells it is half a dozen too soon to 12. No two watches show the same time. The difference between the watches is 2,3,4,5 respectively. Whose watch shows maximum time?
sol) A shows 11:57, B shows 12:03, C shows 12:02, and D shows 11:06 therefore, max time is for B

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 2sec
so, 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=2500
51st 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?
a) 3rd b) 6th c) 9th d) 7th
Ans is d) 7th day
Sol) In d 1st day Anand does 1/7th of total work
similarly,
Bithu does 1/8th work in d 2nd day
hence at d end of 3 days, work done = 1/7+1/8+1/6=73/168
remaining work = (168-73)/168 = 95/168
again after 6 days of work, remaining work is = (95-73)/168 = 22/168
and 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 1
B: 0 1 1 1 1 0 1 0
C: 0 1 1 0 1 1 0 1
Find ( (A-B) u C )==?
Hint : 109
A-B is {A} - {A n B}
A: 1 1 0 1 1 0 1 1
B: 0 1 1 1 1 0 1 0
by 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 01101101
gives 1101101... convert to decimal equals 109

Can you provide me the Aptitude Question Paper of TCS (Tata Consultancy Services) as I need it for my preparation?

[Quick Sam]

Below I am providing you some questions of from Aptitude question paper of TCS (Tata Consultancy Services):
Q: There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being
defective. What is the probability that same musical sound would be produced 5 times
consecutively? ( 1 of _____) ?
Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32
32 will be the answer.
QAlok is attnding a workshop "how to do more with less" and todays theme is working with fewer
digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as
well as womankind) had only worked with fewer digits. The problem posed at the workshop is
:"how many 7 digit mnumners can be formed using the digits 1,2,3,4,5 (but with repetetion) tha are
divisible by 4? Can you help alok to find answers?
15625
6250,
19532
19531
Q Peter and Paul are two friends. The sum of their ages is 35 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?
Answer: 20 years.
Q The ages of two friends is in the ratio 6:5. The sum of their ages is 66.After how many years will
the ages be in the ratio 8:7?
Answer: 12 years.
Q (There was a long story, I'll cut short it). There are 5 materials to make a perfume: Lilac,
Balsalmic, Lemon, Woody and Mimosaic. To make a perfume that is in demand the following
conditions are to be followed: Lilac and Balsalmic go together. Woody and Mimosaic go together,
Woody and Balsalmic never go together. Lemon can be added with any material. (Actually they
had also mentioned how much amount of one can be added with how much quantity of the other;
but that's not needed for the question.) All of the following combinations are possible to make a
perfume EXCEPT:
Balsalmic and Lilac
Woody and Lemon
Mimosaic and Woody
Mimosaic and Lilac
Answer: Mimosaic and Lilac.
Q. Anoop managed to drow 7 circles of equal dadii with their cnetres on the fdigonal of a square
such that the two extreme circles touch two sides of the square and each middle cirle touches tow
cirles on either side. Find the ration of the side of the square to radius of the circle. You may
assume that square root of 2 is 1:4
10.40:1
13.90:1
11.80:1
15.90:1
Q: 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.
Answer: 8 * 7 = 56
Q: 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?
Answer:280.5625
Q. What is the distance between the z-intercept from the x-intercept in the equation
ax+by+cz+d=0. (I do not remember the values of a,b,c,d)
Q. An athlete decides to run the same distance in 1/4th less time that she usually took. By how
much percent will she have to increase her average speed?
Answer: 33.33%
Q: A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If
the average speed of the horse is 35 kmph, what s the average speed of the pony?
Q: There is 7 friends (A1,A2,A3....A7).If A1 have to have shake with all with out repeat. How many
hand shakes possible?
Q: There are two pipes A and B. If A filled 10 liters in a hour B can fills 20 liters in same time.
Likewise B can fill 10, 20, 40, 80,160….if B filled in (1/16) th of a tank in 3 hours, how much time
will it take to fill completely?
Answer:7 hours
Q. The teacher is testing a student's proficiency in arithmatic & poses the following Q : 1/2 of a
number is 5 more than 1/6 of the sam number. What is the number? Canu help the student to dfind
the anw
15
16
3
14
Q: (Keywords): Sports readers,10 tables,4chairs per table, each table has different number of
people then how many tables will left without at least one person?
Ans : 6
Q: The ages of two friends is in the ratio 5:6. After how many years will the ages be in the ratio
7:8?
Answer: 10 years.
Q: What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz+d=0. (I do
not remember the values of a,b,c,d)
15: An athlete decides to run the same distance in 1/4th less time that she usually took. By how
much percent will she have to increase her average speed?
Answer: 33.33%
Q. There are two water tanks A and B. A is much smaller than B. While watel fills at the rate of one
litre 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 litres, second hour it has 20 and so on). If tank B is 1/8 filled after 5 hours, wat is d total
duration required to fill it completely?
3 hrs
7 hrs
8 hrs
9 hrs
Q. A man whose age is 45 yrs has 3 sons named John,jill,jack. He went to a park weekly twice.he
loves his sons very much. On a certain day he find # shopkippers sailing different things. An apple
cost 1penny, 2chocalate costs 1penny.& 3 bananas cost 1 penny. He has bought equal no. of
apple, chocolate & banana for each son. If the total amount he invest is 7 penny then how many he
has bought from each piece for his son?
a)1app,1cho,1 banana
b)1 app,2cho,3 banana
c)1app,2cho,1banana
Q. 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
colour of the bear?
I think ans is white
a)white b)black c)gray d)brown
Q. In a particular city there are 100 homes numbered from 1,2,3………..100. Thecity was build by
a builder from chennei. There was 45 shop in the town which was build by a builder from Mumbai.
THE 2nd builder can build the in ½ time as compared to 1st builder. If the 2nd builder builds in 15
days,then how many 2‟s are used by the builder from Chennai in numbering the 100 homes?
a)17 b)18 c)19 ans d) 20 c)19
Q. A circular dashboard of radius 2.0 foot is at a distance of 20 feet from you. You throw a dart at it
and it hits the dartboard at some point ! in the circle. Wat is the probability that Q is closer to the
center of the circle than the perifhery
.50
.25
.75
1.00
Q .MR dash has 3 sons whose ages are respectively a,b,c. The grandfather has bought a cycle for
the eldest son, mother has bought a bag for the youngest one which cost Rs150/. The sum of two
age of the elder son & one son is 15.The difference of age of sons is 3 & 2.Then what is the age of
the eldest son?
a)10, b)11, c) 12,d)13
Q. We all know that Arya bhatta is the greatest mathematics belongs to india . When his daughter
Mayabati was in her teen age he discovered a problem. At that time the age of mayabati is a prime
number,let that age is a. After some years her age becomes b. then Arya Bhatta was able to solve
that problem wit the help of he daughter mayabati. If a-b=5 & product of a& b is 26 then what is the
sum of two squares?
A)77 b) 45 c)89 d)67
Q.how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if
repetition of digits is allowed? Ans:5 to the power 12
Q. (40*40* 40-31*31*31)/(40*40+40*31+31*31)=?a simle calcutation
23. x/2y=2a,then 2x/x-2ay=?(some thing like this .very easy )
Q. A hare and a tortoise have a race along a cirlcle of 100 yards diameter. The tortoise goes in one
direction and the hare int he other. The hare starts after the tortoise has covered 1/5 of its distance
and that too leisurely. The hare and tortoise meen when the hare has covered 1/6 of the distance.
By what factor should hare increase its speed so as to tie the race
30
6
5
19.00
Q. A big Question describing a story.After that a number is given eg 2880.by what if we divide the
number it ll become a perfect square?Ans:5
Q. 1st a story. Then a simple ratio problem. The question was if the ratio of age of two persons is
5:6,sum of present age is 33,then in how many years the ratio of their age becomes 7:8?
a)3 b)4 c)5 d)6
Q. Mr behera wants to build A house for his wife. In this there are 5 rooms each having equal area.
The length of each room is 4m,,breadth is 5 m. the height of the rooms are 2m. if to make a sq
meter we need 17 bricks ,then how many bricks are needed to make the floor of a particular
room?
Q. A very big story.on Tuesday college parking place have only 4wheelers & bicycles,total no of
wheels was 182,yhen what is the possible no of bicycles?
a)20 b 19 c 18 d 17
A hollow cube size 5 cm is taken, with a thickness of 1 cm. its made of smaller cubes of size 1 cm..
If 3 daces of the other surface of the cube, totally how many daces of the smaller cubes remain
unpainted?
825
513
900
525
Q. Simple question bt big one on average age.sth like a,b,c weigheted separately 1st a,b,c ,then
a& b,then b&c ,then c&a at last abc,the last weight was 167,then what will be the avg weight of the
7 weight?
Q. Arrange the jumbled letters to make a perfect word RGTEI(sth like this). Find to which category
it belong?(not so easy,I was bt able 2 solve the problem .the number of the question was 34)
A)town b)vegetable c)animal d) bird
Q. 3 persons a,b,c were there A always says truth,B lies on Monday,tusday,& Wednesday.but C
lies on thrusday,Friday & saturday .one day A said”that B & C said to A that” B said “yesterday
way one of the days when I lies”,C said that”yesterday way one of the days when I lies too”.then
which day was that?
Ans: a Sunday b thrusday c saterday d.Tuesday
Q.a long story & with in it a mathematical series present like
8 6 17 14 35 30 71 _ 143.
Q people (a1, a2..., a30) meet and shake hands in a circular fashion. In other words, there are
totally 30 shakehanders involving the pairs, (a1, a2),...,(a29, a30), (a30, a1). Then the size of the
smallest set of people such that the rest have shaken hands with atleast one person in the set is
11
10
9
15
Q. One man want to build a wall the length and breadth of the wall are 20, 30 respectively. He
need 35 bricks for one square centimeter then how many bricks he need?
Ans:l*b*35(no of bricks needed for sqcm)
Q. one person had three children.he has 7 pennis.then how he can distribute the fruits among his
child by folloing conditions.
a)he can get one water millon for 1 penny.
b)he can get 2 oranges for 1 penny.
c)he can get 3 grapes for 1 penny.
Ans:2 water millon 1 orange 1 grape
Q. 1/3 rd of a number is more 3 than the 1/6th of a number then find the number?
Ans:18
Q. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100.
For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will
appear in building numbering?
Ans:
For 1 to 10 - 1 six
2 to 20 - 1 six
Similarly upto 59 we utilise six, 5 times
from 60 to 69 (including 66) - 11 times
from 70 to 100 - 3, hence ans = 5+11+3 = 19
Ans:19.
Q. After the typist writes 100 letters and addresses 100 envelopes, she incerts the letters randomly
into envelopes (1 letter per envelope). What is the probability that ewxactly 1 letter is incerted in an
improper envelope?
1/100
1-1/100
1/100!
0
Q. . one grand father has 3 grand child.eldest one age is 3 times of the youngest child age.sum of
two youngest child age is more than two of eldest one age.find the eldest one age?
Ans: 15(we can easily predict from options, as we take y as 15)
Q..difrence b/w two nubers is 4.and their product is 17.then find the sum of their squers?
Ans: 70 (By using (x-y)2=x2+y2-2xy)
Q. A man has some socks in his drawer -- 15 identical blue, 41 identical red, 29 identical black. The
lights are out and it is totally dark. How many socks must he take to make sure he has a pair of
each colour?
51
49
56
72
Q. . I dont remember exactly the question, one logical problem stating the colour of beer?
Ans: white.
Q. . find category from following Jumbled letters, parakeet(answer)
Ans: bird(category)
Q. 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 on
his right is guilty. The rightsome person is not questioned. Which of the follwoing possibilities ar
etrue? A. All the suspects are lying B. The left most suspect is guilty. C. The righmost suspect is
guilty.
Aand B
B only
A only
And C
Q. . which is the smallest digit when devides the 2880 gives perfect squre.?
Ans:5(we can easily predict from options, as we devides them with 2880)
Q. I don‟t have any brothers and sisters.by pointing a picture that man said that his father is my
fathers .son then who is he?
Ans:his son.
Q.. 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?
Solution: Here the question appear as an easy one, but carried a lot of unwanted sentences and
unwanted datas(i dint mention above) in exam which may confuse u on solving technique.
So now we can compute x from above equation. (x = 41, 6x = 246)
Let now we compute y, ((6x+y)/7) = 45, as we have value of x, compute y.
Ans: 69
Q.The ratio b/w the ages of two pwrsons is 6:5.and sum of there ages is 77 then how many years
later there ratio becomes 8:7?
Ans: we can easily predict from options
Q. For the king's revelry 6 barrels of beer have been ordered. however, it was found that one of
them is poisoned. The poison takes effect even if consumed in the tiniest amount after 14 hours.
you need to find, within 24 hours, the poisoned barrel and have at your disposal some beer
guzzling mice. The smallest number of mice required to find the poisoned barrel is
2
3
4
6
Q. Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with
average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it
crossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog.
compute the speed of dog?
Ans: As we have speed and travel time of horse, we can get distance travelled by it...
Hence d = 22*6 = 132km,
Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).
Hence speed of dog = 132/8 = 16.5km/hr
Ans:16.5km/hr.
Q..six friends go to pizza corner there r 2 types of pizzas.and six different flavors r there they has
to select 2 flavors from 6 flavors what‟s chanses to select?
Ans:6C2
46.3, 22 , 7, 45, 15, ? , 31
Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the
actual question was some what twist mentioning fibonacci series and more over question was in
statements (no numbers).. hence first try to understand the question well.
here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)
Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.
Q. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the
rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The
number of P is denoted by n1 (P). The maximum value of n1 (P) over all configurations P of 15
points in the plane is
14
15
7
16
Q. cycles and 4 wheelors problem?
Ans: We can easily predict from options
Q .some irrivvelent data.in last two lines problem will be there.
One man walks certain distance with 5 kmph.and walk back the same
Ans: A
Q .A and B tanks r there.1/8th of the tank B is filled in 22Hrs.what is time to fill the tank full?
50.5 friends went for week end party to Mc donalds restrurent and there they measure there
weights .some irrrrrrrrrrrrrrrrilevent data.finel measure is 155 kg then find the average weight of 5
people?
Ans: 155/5=31
Q.2 pots r there.1st pot is filled with ink and 2nd pot is filled with water.take 1 spoon of ink from 1st
pot and pore it in 2nd pot.and take 1 spoon of mixture from 2nd pot and pore it in 2nd pot then
which one of following is true?
Ans: Water in 1st pot is less than the ink in 2nd pot.
Q. There are two boxes, one containing 33 red balls and other containing 21 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
.31
.50
.61
.80
Q.:One electronic problem?Ohm‟s law
Ans: V=IR
Q.There r ten spots in library and each spot has 4 tables and ten readers ar there . sorry I don‟t
remember complete question?
Ans: None
Q :lion and tiger r there.lion lies on Monday,tues,wends and tiger lies on thurs,frid,sat.
Lion said that today is one of those days when I lies.
Tiger said that today is one of those days when I lie too.Then find today?
Ans: Thursday
Q. 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?
Solution: it is given as after 2 yr average age wiil be 43 so now the average is 2 yr.
After addition of 7th person avg is 45 so 7th person wiil be 45+(6*(45-4))
Ans: 69
Q. Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with
average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it
crossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog.
compute the speed of dog?
Ans: As we have speed and travel time of horse, we can get distance travelled by it...
Hence d = 22*6 = 132km,
Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).
Hence speed of dog = 132/8 = 16.5km/hr
Ans:16.5km/hr.
Q. 3, 22 , 7, 45, 15, ? , 31
Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the
actual question was some what twist mentioning fibonacci series and more over question was in
statements (no numbers).. hence first try to understand the question well.
here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)
Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.
Q. The citizens of planet Oz are 4 fingured and thus have developed a number system in base 4. A
certain street i n Oz contains 100 buildings bumberred from 1 to 100. How many 2's are used in
numbering these buildings? Express your answer in base 10.
12
8
4
10
Q . In Tnagar many buildings were under residential category.for buildings they number as 1 to
100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time
6 will appear in building numbering?
Ans:
this type of question if it is asked how many 2,3,4,5,6,7,8,9 then you bindly write the answer as
20.but for 1 answer wiil be 21 as 100 is included
Q. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2
Ans: as x=2y put the value and get the answer.
Q: If we subract a number with y, we get 4 increase of number, once it got divided by y itself.. Find
that number??
Ans: 12 (we can easily predict from options, as we take y as 6)
Q. I dont remember exactly the question, one logical problem stating the colour of beer?
Ans: white.what ever the question about the color of beer means you wrote the answer as white
because polar beer.this question is very lengthy don‟t burther about that.
On the planet Oz, there are 8 days in a week - Sunday to Saturday and another day called Oz day.
There are 36 hours in a day and each hour has 90 minutes while each has 60 seconds. As on
earth, the hour hand covers the dial twice every day. Find the approximate angle between the
hands of a clock on Oz when time is 16:40 am
169 deg
331 deg
151 deg
211 deg
Q. Jumbled letters, parakeet(answer)
Ans: bird(category)
Q. Im only son for my parents. (some irrelevant statements in the middle to distract u).The man in
picture is my father's son.(some irrelevant statements).who is he?
64.A toy train can make 10 sounds sound changes aftr every 4
min.................
.....................................
..........................................
now train is defective and can make only 2 sounds.................
.................................................. ...............................
find probability that same sound is repeated 3 times consecutively(1 OUT OF
__)?
1.16
2.8
3.12
4.4
ANS:
(1/2)*(1/2)*(1/2)=(1/8)
thus 1 out of 8
Q
................................................
.................................................. ....
.................................................. ..............................
.................................................. ................................
resistance is X ohm voltage Y then wat is current
1.
2.
3.
4.
ans:V=IR
Q. I have 3 grandsons......................................... ..
age diff btw 2 of grandsons X yrs
1st grandson is twice elder than younger one
adiition off ages of all the three is y
thn what is age of eldest grandson??(there is some value in X and Y)
Q. 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 wich gave him 35
kmph
if Mohan travelled 490 km in his ferrari
the hw much time(hours) he took??
1.8
2.4
3.7
4.7.33
(options may be different)
Q.lion rat stayin in jungle happily...........................................
.................................................. ..................................
Lion lies on : MON TUE WED
RAT lies on :WED THURS SAT
if lion says : I didnt lie yesterday
RAT says : e1 i didnt lie yesterday
so what day is today??
The ratio of current age of X and Y is 5:7,after hw many years der age ratio will b 7:9?
Q. A sheet paper has statements numbered from 1 to 10. For all values of n from 1 to 10,
statement n says "at most n of the statements on this sheet are false". Which stratements are true
and which are false?
All statements are false
The odd numberred statements are true and the even numberred are false
The even numberred statements are true and the odd numberred are false
All statements are true
Q. Inspired by fibonacci series sanket decided to create is own series which is
1,2,3,7,7,22,15,67,....
lik dis,then what no come immediately before 63?
ans= 202
xpalnaton ;check altenate no.1,3,7,15=====>n*2+1
similarly 2,7,22,67=======>n*3+1
so series is 1,2,3,7,7,22,15,67,31,202,63........
The pacelength P is the distance between the rear of two consecutive footprints. For nen, the
formula, n/P = 113 gives an approximate relationship between n and P where, n=number of steps
per minute and P-pacelength in meters. bernard knows his pacelength is 106 cms. The formula
applies to Bernard's walking. Canculate Bernard's walking speed in KMPH.
10
66,
7.62
9.38
119.78
Q. By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is
allowed??
Ans-last 2 place should be divisible by 4
So possible values at last place are 12,24,32,44,52 this can be arranged in 5 ways
The rest 3 places can be filled in 5*5*5 way so total is 5^4
Q. The cost 1 plum is 1 cent ,2 apples is 1 cent,3 banana is 1 cent........
if rahul buys same amount of fruits for his 3 sons spending 7 cent den what amount of fruit each
child will get??
ans: 1 plum ,2 apple,1 banana
xplanation:7/3=2.333 cents for each child
according to ans given for d sum each child will get 1 plum ,2 apple,1 banana
Q. Middle earth is a fictional land inhabited by Hobbits, Elves, dwarves and men, The hobbits and
the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The
dwarves and men engage in physical games. The game is as follows. A tournoi is one, where out
of the tow teams that play a match, the one that loses get eliminated. The natches are played in
different rounds where in every round; half of the teams 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 7 rounds in a knock-out tournoi how many matches were played?
56
128
129
127
Q. 2880 is divided by which smallest no. so we get no. which is perfect square???
ans= 5
xplanation 2880/5=576 sure sort question.
Q. There are to prime no........(with some nonsence stuff)..............
den addition of two prime no is 13,n multiplication is 21,den wat r some of der squares?
Explanation : XY=21 and X+Y=13...solve using calci..ans of X & Y will b in points..den x2+y2=??
Q. Smita was makin 1 design .....(again some nonsence)....size of larger cube to be made is
5*5*5........
using smaller cubes of 1*1*1....she created solid larger cube ..den she decided to make hollow
cube...
den hw many 1*1*1 cubes rqd to make hollow larger cube
Ans= 104
Explanation (25+25)+(15+15)+(12+12)=104
Q. 2X/5Y=5X/3Y...den wat is x/y
Q. A pizza parlor provides pizzas...there wer 2 toppings available initially peperoni and salami.
but now they,ve introduces 8 new toppings (some names) to select from......
a person wishes to buy two DIFFERENT pizzas of NEW topping....in how many ways he can do
that??
ans : 8 X 7=56
Q. 24 people meet and shake hands. The maximum number if possible if there is to be no " cycle"
of handshakes is (A cycle of handshakers is a sequence of people a1, a2,..., ak, k>2 such that the
pairs (a1, a2), (a2, a3),...(a{k-1}. ak), (ak, a1) shake hands)
21
23
20
22
Q Person travels to....(some nonsence stuff).....if he goes from A to B with speed of 4kmph and
returns back to B with speed of 5 kmph....what is his avg. speed of journey??(values may b
different)
Ans: 4.44(its NOT 4.5)
Explaination : 2PQ/(P+Q)===2*4*5/(4+5)=4.44kmph
Q. There is a dice having value frm 1 ..6 on each face......and a pack of cards having face card
aces .....
(hugh chunk of nonsense)......when 2 dies are thrown and their scores are added then which sum
will come max number of times??
1.8
2.9
3.10
4.11
Ans: 8
Explanation : 8----2,6 3,5 4,4
9----4,5 3,6
10----5,5 4,6
11---- 5,6
thus 8's probability is more
Q. Given 3 lines in the plane such that the points of intersection from a triangle with sides of length
20, 20 and 26, the number of points equidistant from all the 3 lines is
4
3
1
0
Q. ''susha brought terilon cloth and rope to (some nonsence nw jst go to last 2 lines)....''....
if rope is 153 mtr long and it is to be cut into pieces of 1 mtr long then how many times will she
have to cut it??
Ans : 152 times
Q. sheet of paper has statements numbered from 1 to 10. For all values of n from 1 to 10,
statement n says " at least n of the statements on this sheet are false. Which statements are true
and which are false?
The even numberred statements are truw and the odd numberred are false.
The first half of the statements are false and the last half statements are truw
The first half of the statements are truw and the last half statements are false
The odd numberred statements are tru and the odd numberred are false.
Q. There are some 2 wheelers and 4 wheelers parked ........(some nonsense)...........total number of
wheels present is 240
then how many 4 wheelers wer there
Ans-
This can be done by looking at the option first check the no of bicycles and then multiply it by 2.
And then substract the multiplication value from 240 if the value is divided by 4 then that is the
answer
Q. 1/3 of a number is 6 more than 1/6 of that number then what is the number
Ans=x/3=x/6+6=36
Q. The cost of making a robot consists of material cost,repairing cost,coloring cost and is in the
ratio 3:4:5.if the material cost is 1200 then find out the cost of the robot.
Ans- simple 3 part is 1200 so 3+4+5=12 part=?
Q. For the FIFA world cup, Paul the octopus has been the winner of each match with amazing
sucess. It is rumoured that in a match between 2 teams , A and B. A with the same probability as
A's chances of winning. Lets's Assume such sumours to be truw and that in a match between
Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winnign the game. Wat is d
probability tha tpaul will correctly pic the winner of the same game.
.56
.11
.44
.67
Q. There are pepsi 1 litre & oil 1 litre .it is given as 1 spoon of pepsi is aken and is mixed with Oil.
Then 1 spoon oil&pepsi is taken and is mixed with pepsi then which of the condition holds true.
Ans-the amount of pepsi in oil is mre than amount of oil in pepsi.
Q. An tank is filled with water .in first hour 10 lit ,in second hour 20 lit and in 3 rd hour time 40 lit.if
time taken to fill ¼ of the tank is 5 hr.what is the time required to fill up the tank.
Ans-as the water is filled as twice speed.and in 5 the hour ¼.so in 6 hour ½.so answer 7 th hour.
Q. Which is the smallest no divides 2880 and gives a perfect square?
a.1 b.2 c.5 d.6 Ans: c
Q. Alok and Bhanu play the follwoing min-max expression N=12+X * (Y-Z), where X,Y and Z are
variables representing single digits (0 to 9), Alok wud like to maximize N while bhanu woud like to
minimize it. Towards this end, Alok chjooses the a single digit number and bhanu substitutes this
for a variable of her choice (X, Y and Z)Alok then chooses the next value and Bhanu, the variable
to substitute the value. Finally Alok proposes the value for the remaining variable . Assuning both
play tpo their optimal stategies, the value of N at the end of the game would eebe??
93
-69
30
12
Q. Two bowls are taken, one contains water and another contains tea.one spoon of water is added
to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to
the second bowl. Which statement will hold good for the above?
(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)
Q. Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible
by4?
a.31250 b.97656 c.78125 d.97657
Ans: c
Q. Rearrange and categorize the word „RAPETEKA‟?
Ans: bird
Q. 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
Q. Key words in question (Fibonacci series, infinite series, in the middle of the question one
number series is there….I got the series 3 12 7 26 15 ?
Ans:54
(Logic: 3*2+1=7 12*2+2=26
7*2+1=15 26*2+2=54)
Q. A lies on mon, tues, wed and speak truths on other days, B lies on thur, fri, sat and speaks
truths on other days …one day a said I lied today and B said I too lied today. What is the day?
Q. Man, Bear, North, South, walks.
Ans: White
Q.Alok and Bhanu play the follwoing min-max expression N=37+X+Y+Z, where X,Y and Z are
variables representing single digits (0 to 9), Alok wud like to maximize N while bhanu woud like to
minimize it. Towards this end, Alok chjooses the next value and Bhanu , the variable to substitute
the value. Finally Alok proposes the valu for the remaining variable. Assuning both play tpo their
optimal stategies, the value of N at the end of the game would eebe??
Q. A father has 7 penny‟s with him and 1 water melon is for 1p, 2chickoos for 1p, 3 grapes foe
1p.he has three sons. How can he share the fruits equally?
Ans: 1 watermelon,2chickoos,1grape
Q. (1/2) of a number is 3 times more than the (1/6) of the same number?
Ans: 9
Q. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time.
Likewise B can fill 10, 20, 40, 80,160….if B filled in (1/16) th of a tank in 3 hours, how much time
will it take to fill completely?
Ans:7 hours
Q. KEYWORDS:T.Nagar,Chennai,1-100,prime numbers b/n 140-180,How many 2‟s are there?
Ans: 20 (Not only 2‟s ,1‟s,3‟s,4‟s,5‟s,6‟s,7‟s,8‟s,9‟s,0‟s also 20)
Q. A man is standing before a painting of a man and he says I have no bro and sis and his father
is my father‟s son?
Ans: he himself
Q. One question has last part like difference between two terms is 9 and product of two numbers is
14, what is the squares of sum of numbers?
Ans:109
Q. What is the value of [(3x+8Y)/(x-2Y)]; if x/2y=2?
Ans:10 {the numerical may change)
Q. A pizza shop made pizzas with to flavours.in home there are „N‟ different flavors, in that „M‟
flavors are taken to made pizza.in how many ways they can arrange?
(Logic: NcM )
Q. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3
times youngest child‟s age and eldest child‟s age is two times of sum of other two children. What is
the age of eldest child?
Ans:15
Q. KEYWORDS: one organization ,material labor and maintenance are in the ratio of 4:6:7,the
material cost is:100,what is the total cost?
Ans: 425
101. KEYWORDS: density, reluctance, sensitivity, voltage ,current, what is the resistance
Formula is “R=V/I”
102. In a market 4 man are standing .the average age of the four before 4years is 45,aftyer
some days one man is added and his age is 49.what is the average weight of all?
Ans: 49
103. KEYWORDS: Sports readers,10 tables,4chairs per table, each table has different number of
people then how many tables will left without at least one person?
Ans : 6
107. KEYWORDS: Die, card, coin, b/n 2 to 12
Ans: All are equal
108. In a school for a student out of a 100 he got 74 of average for 7 subjects and he got 79
marks in 8th subject. what is the average of all the subjects?
Ans: 74.625
109. In a question ,last part has ,the ages of two people has the ratio of 6:6 and by adding the
numbers we get 44,after how many years the ratio would be 8:7?
Ans: 8
110.One train travels 200m from A to B with 70 km/ph. and returns to A with 80kmph, what is the
average of their speed?
111. Two years before Paul‟s age is 2times the Alice age and the present age of Paul is 6times
the Alice. what is the presents Paul‟s age???( 3years) “u try to solve this question once”
112. There is ferarri and benz car, benz speed is say 10kmph and it cover 10 km.And if ferarri goes
with 3 times faster than benz.So in how much time ferarri could take to cover same distance.
sol: as speed of ferarri is 3*10=30 so time will be 10/30
113. If one lady have 3 daughter and any of out 3 have diff, of ages is 3.And oldest is 3 times of
more than 2 than yougest after 2 years then tell the age of oldest daughter.
Solution: let x is youngest ,y middle ,z oldest. so y-x=3, z-y=3, and z=2=2(x+2) and put the option
answer try to get condition.(sorry i forgot option but pattern ll be same)
114.One question like that ,there is fabonaci series and you have to find one number ..clue-it based
on series
116.if a person moves 15km straight and turns 45km right and moves 15km straight then how
much distance he needs to walk to reach starting point?
117.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 ,how many mices are required to find the
poisoned can?
.if atlantic is found in atlantic ocean ,india is found in
indian ocean then which of the following cases are true
118.if a and b are mixed in 3:5 ration and b,c are mixed in 8:5 ration if the final mixture is 35
litres,find the amount { a/b=3*8/5*8 and b/c=8*5/5*5 a/b/c=24:40:25
ans=40*35/(24+40+35)=1400/89
Ans=15.79}
of b in the final mixture
119.1!+2!+....50!=3*10^64?
120. 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?
Solution: Here the question appear as an easy one, but carried a lot of unwanted sentences and
unwanted datas(i dint mention above) in exam which may confuse u on solving technique.
Let x be current average age of first 6 persons in queue and current age of seventh person be y.
Then 6x will become the sum of those 6 persons age.
Now, let compute the sum of those 6 persons after two years, 6x+12 (as each and individual
increase their age by 2). hence its average become (6x+12)/6 = 43 (give in question itself).
So now we can compute x from above equation. (x = 41, 6x = 246)
Let now we compute y, ((6x+y)/7) = 45, as we have value of x, compute y.
Ans: 69
121. Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with
average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it
crossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog.
compute the speed of dog?
Ans: As we have speed and travel time of horse, we can get distance travelled by it...
Hence d = 22*6 = 132km,
Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).
Hence speed of dog = 132/8 = 16.5km/hr
Ans:16.5km/hr.
122. 3, 22 , 7, 45, 15, ? , 31
Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the
actual question was some what twist mentioning fibonacci series and more over question was in
statements (no numbers).. hence first try to understand the question well.
here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)
Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.
123. In Tnagar many buildings were under residential category.for buildings they number as 1 to
100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time
6 will appear in building numbering?
Ans:
For 1 to 10 - 1 six
2 to 20 - 1 six
Similarly upto 59 we utilise six, 5 times
from 60 to 69 (including 66) - 11 times
from 70 to 100 - 3, hence ans = 5+11+3 = 19
Ans:19.
124. If we subract a number with y, we get 4 increase of number, once it got divided by y itself..
Find that number??
Ans: 12 (we can easily predict from options, as we take y as 6)
125. Im only son for my parents. (some irrelevant statements in the middle to distract u).The man
in picture is my father's son.(some irrelevant statements).who is he?
Ans: he himself(blood relation type of question)..
126. It is the class with the seating arrangement in 4 rows and 8 columns. When the 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?16
127. It is dark in my bedroom and I want to get two socks of the same color from my drawer, which
contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at
least two socks of the same color?
2
3
48
25 ; Solution: 3
128.Inspired by fibonacci series sanket decided to create is own series which is
1,2,3,7,7,22,15,67,....
lik dis,then what no come immediately before 63?
ans= 202
xpalnaton ;check altenate no.1,3,7,15=====>n*2+1
similarly 2,7,22,67=======>n*3+1
so series is 1,2,3,7,7,22,15,67,31,202,63........
129..valentine day 14 feb 2005,was celebrated by n and u on monday,he was very happy,he n
she........
.........den day on 14 feb 2010???(similar to dis some date qn was der)
130.the cost 1 plum is 1 cent ,2 apples is 1 cent,3 banana is 1 cent........
if rahul buys same amount of fruits for his 3 sons spending 7 cent den what amount of fruit each
child will get??
ans: 1 plum ,2 apple,1 banana
xplanation:7/3=2.333 cents for each child
according to ans given for d sum each child will get 1 plum ,2 apple,1 banana
131.there is a dice having value frm 1 ..6 on each face......and a pack of cards having face card
aces .....
(hugh chunk of nonsense)......when 2 dies are thrown and their scores are added then which sum
will come max number of times??
1.8
2.9
3.10
4.11
Ans: 8
explanation : 8----2,6 3,5 4,4
9----4,5 3,6
10----5,5 4,6
11---- 5,6
thus 8's probability is more
132.''susha brought terilon cloth and rope to (some nonsence nw jst go to last 2 lines)....''....
if rope is 153 mtr long and it is to be cut into pieces of 1 mtr long then how many times will she
have to cut it??
ans : 152 times
133.(dnt remembr the xact q but procedure was somethn lyk this)
.........................8th year--1/1024,, 9th year--1/512,, 10th year--1/256 then aftr hw many years
1/32???
ans: 13
134.there are 2 cans A and B one of MILK and other of Water resp. , both of same qty......
first one teaspoon of milk from A can was added to B can...
then one teaspoon from B can was added to A can then wich of the folloe\wing is true..
1.Can A contain more milk than water in can B
2.Can A contain less milk than water in can B
3.both contain same qty of milk and water
4.
Ans : option--2
135.If a pipe can fill the tank within 6 hrs but due to leak it took 30 min more
now if the tank was full hw much tym will it take to get emptyed through the leak??(i dont remembr
whole sum exactly)(lil bit tricky sum)
136.Avg wt of class is X kg(some number) after adding wt of the teacger avg wt of class becomes
Y kg then wat is the wt of the teacher??
137.20 men shake hand with each other. Maximum no of handshakes w without cyclic
handshakes.
138. 100 men & women dance with each other. Probability that a man cannot dance with more
than two women.
139. Horse chasing a pony. Horse leaves stable aftr 2hrs from ponys departure. 4 hrs 2 catch pony.
Find speed of pony. Given-speed of horse.
140. A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find
distance b/w starting&ending point.
141. Lady hav 2 select gloves&hat from a basket I the dark.she can distinguish
hat&gloves.14red,20blue,18green r there. Find probability that any selected glove pair has same
colour.
142. Alice in wonderland meets a character goblet whose age is 2times alice.aftr 2 years age
problem
143. Peter is 2times paul‟s age was when peter‟s age is same as paul‟s present age.find pauls
age.
144. From a rope a triangle is made of sides 21cm,24cm,28cm. from this a square is made. Find
area of square.
145. In a supermarket average of 4people standin in queue taken 2yrs before is 55yrs. Now a
person of 45 yrs is added current age.
146. A toy can produce 10diiff sounds. Nw toy is defective to produce 2 sounds in 3min. find
probability that it produces 6 consecutive is 1 in(_)
147. 1/6th of a no is 4 times more than 2/3 of a no.find no
148. Age of 2 in d ratio 4:5. Total of 2 ages is 55. Aftr 2 yrs age in ratio 5:7 ages
149. A jogger jogs@1/6th of his usual speed. How much % she has 2 increase 2 reach normal
pace of walking.
150: X is 3 years yunger to Y. X's father is a businessman who invested 10000/- at 8% rate of
interest n obtained his amount after 10 years. Y's father is a job holder who invested around 20000
at 2% rate n obtained his amount after 20 years.Now Compunded both of dem get around ABC rs/-
(dnt remenbr).After 5 years the ratio of ages of X n Y is 1:2. Now X's father is 20 years older to Y n
Y' father is 30 years more than X. After 20 years again X's mother asks X's father to purchase a
LCD TV whch costs around 45000/-.
what is the age of X n Y together?
Ans: answer lies in considering two statements 2gether i.e "X is 3 years younger to Y" n "After 5
years the ratio of ages of X n Y is 1:2"
151. 3, 22 , 7, 45, 15, ? , 31
Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the
actual question was some what twist mentioning fibonacci series and more over question was in
statements (no numbers).. hence first try to understand the question well.
here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)
Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.
152. In Tnagar many buildings were under residential category.for buildings they number as 1 to
100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time
6 will appear in building numbering?
Solution:
For 1 to 10 - 1 six
2 to 20 - 2 six
Similarly upto 59 we utilise six, 6 times
from 60 to 69 (including 66) - 11 times
from 70 to 100 - 3, hence ans = 5+11+3 = 19
Ans:19.
153.The bacteria had a probability of splitting into three and a probability to die is one third of total
bacteria..Let the probability be P. Some of them survived wit probability 1/5. then wic among the
following relation is true?
a)P=1/3+1/5*3
b)P=1/5*(1/8-3)
c)
154. if a tank a can be filled within 10 hrs and tank B is 1/4th filled in 19 hrs.. then wat is the
duration of the tank to fill completely?
155.A man looks at a painting and tells “Neither I hv brothers nor sisters, but the person in the
painting is my father‟s son”. Then who is in the painting?
156.A lady had fine gloves and hats. 25 blue,7 red and 9 grey.she had to select a pair among
them. But there was no light so she had to select in darkness the correct pair wit a glove and a hat.
Therefore how many combinations of same color she can select?
157.A old lady had three grandchildren,the difference between two children was 3 years. Her
eldest grandchild was 3 times elder than the youngest one and the elder one 2 years more than
the sum of the other two. Then wat is the age of the eldest child?
158.There was a grandmother in a village who had a grandchild. Upon asking her grandchild‟s age
she told dat she is as older as many days old as her daughter‟s age in weeks and as many days
as her own age in years. The sum of the three is 130. then how old is the child?
159.(98*98*98-73*73*73)/(98*98*98+73*73*73)=?
8.which is the smallest number wic on dividing 2880 to make it a perfect square?
a.6 b.5 c.4 d.3
Ans :5
160.Leena cut small cubes of 10 cubic cms each. Which she joined to form a cube wit 10 cubes
length, 5 cubes in depth and 5 cubes wide. How many more small cubes does she require to form
a perfect cube?
10.the first two numbers are 1 and 2. The numbers in series are 3,6,7,14, , 32? Which number
comes before 32
161.The age of two people is in the ratio 6:8. the sum of their ages is 77. after 2 years the ratio of
their ages becomes 5:7. wat is their present age?
162.if a and b are mixed in 3:5 ration and b,c are mixed in 8:5 ration if the final mixture is 35
litres,find the amount of b in the final mixture
163. A vendor sells 1 apple for 1 penny, 2 grapes for 1 penny, 3 bananas for 1 penny. A man
spends 7 penny and gives equal amount of fruits to each of his three daughters. What is the
possible number of fruits each daughter gets? Ans: 1 apple,2 grape,2 banana
164. 5 persons standing in queue with different age group, two years ago their average age will
be X(I couldn‟t remember) and 6th person joined with them. hence the current average age has
become Y(I couldn‟t remember). find the age of seventh person?
165. Horse started to chase dog as it relieved stable three hrs ago. Avg speed of the horse was
given and the time horse chased dog was also given. What is the speed of the dog?
166. 5,9,12,18,26,36,47,72,--? Here odd terms have differences as multiples of 7 and even
terms adds with themselves to form the next number. So answer is 75.
167. In Tnagar many buildings were under residential category. for buildings they number as 1
to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many
time 4 will appear in building numbering? Ans: 19
168. Jumbled letters, choices were given whether the word is bird or city or
sweet……parakeet(answer)
Ans: bird(category)
169. Lion tells lie on Monday, Tuesday, and Wednesday. Rat tells lie on Thursday, Friday and
Saturday. Both of them speak truth on other days. Lion tells, “Yesterday was one of the days which
I tell lying”. Rat also tells, “Yesterday was one of the days which I tell lying”. what day was
yesterday?
170. There were three different gloves. 13 red, 27 black and 40 green. How many gloves one has
to take so as to ensure that there is at least one pair in each color?
171. Probability of occurrence of some events was given. Have to find total probability of specified
group of events.
172. One person has no siblings and says,” the guy in the photo is the only son of my father „s
son”. What is the relation of the guy to the person?
173. Difference of two numbers is 6. Product of them is 13. What is the sum of their squares?
174. Voltage and current are given, resistance was asked. V=IR
175. Speed and distance were given and time taken was asked.T=D/S
176. A problem on finding the age of the grand mother.
177. A lady builds 9cm length,10cm width,3cm height box using 3cubic cm cubes. What is
the minimum number of cubes required to build the box?
178. When a pair of dice is thrown, what number has the higher probability to occur…the sum of 8
or 9 or 10?
179. A person has to make 146 pieces of a long bar. He takes 4 seconds to cut a piece. What is
the total time taken by him in seconds to make 146 pieces?
more detail to atteched pdf file............................

[Quick Sam]

180) 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?
Solution: Here the question appear as an easy one, but carried a lot of unwanted sentences and
unwanted datas(i dint mention above) in exam which may confuse u on solving technique.
Let x be current average age of first 6 persons in queue and current age of seventh person be y.
Then 6x will become the sum of those 6 persons age.
Now, let compute the sum of those 6 persons after two years, 6x+12 (as each and individual
increase their age by 2). hence its average become (6x+12)/6 = 43 (give in question itself).
So now we can compute x from above equation. (x = 41, 6x = 246)
Let now we compute y, ((6x+y)/7) = 45, as we have value of x, compute y.
Ans: 69
181) Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with
average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it
crossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog.
compute the speed of dog?
Ans: As we have speed and travel time of horse, we can get distance travelled by it...
Hence d = 22*6 = 132km,
Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).
Hence speed of dog = 132/8 = 16.5km/hr
Ans:16.5km/hr.
182) 3, 22 , 7, 45, 15, ? , 31
Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the
actual question was some what twist mentioning fibonacci series and more over question was in
statements (no numbers).. hence first try to understand the question well.
here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)
Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.
183) In Tnagar many buildings were under residential category.for buildings they number as 1 to
100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time
6 will appear in building numbering?
Solution:
For 1 to 10 - 1 six
2 to 20 - 1 six
Similarly upto 59 we utilise six, 5 times
from 60 to 69 (including 66) - 11 times
from 70 to 100 - 3, hence ans = 5+11+3 = 19
Ans:19.
184) ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2
Ans: 2(simple algebra, i think u no need of explanation)
185) If we subract a number with y, we get 4 increase of number, once it got divided by y itself..
Find that number??
Ans: 12 (we can easily predict from options, as we take y as 6)
186) I dont remember exactly the question, one logical problem stating the colour of beer?
Ans: white.
187) Jumbled letters, parakeet(answer)
Ans: bird(category)
188) ratio proportional problem with age. Sorry, dint remember exact question.
189) one question like. (209*144)^2 + (209*209)+(209*144)+(144*144) = ?
Ans: here you can use calc, many(4 to 5) questions were depend upon calc alone.(no need
problem solving technique).
190) Im only son for my parents. (some irrelevant statements in the middle to distract u).The man
in picture is my father's son.(some irrelevant statements).who is he?
Ans: he himself(blood relation type of question).
191 By which number should we divide the number 2880 to make it perfect square?
Ans: 5
192. There is a problem to find out the color of beer. It is full of unwanted data in problem. for that
the
Ans: white
193. 1/3 ofsome number is 5 more than 1/6 th of that number. Find the number.
Ans: 30
194. Difference of two numbers is 4 and their product is 13. Find the sum of squares of that
numbers.
Note: this problem starts with the story of aryabhatta , ignore all and read the problem from last
line.
195. How many of 14 digit numbers we can make with 1,2,3,4,5 that are divisible by 4.
Repetitions allowed.
Ans: we have calculate the value (5power12)*4 (like 5*5*5*5*5*5*5*5*5*5*5*5*4= value will be
given in answers check it out)
196. There is a lengthy problem with details of Chennai city. At last they ask how many 6‟s came
when we give numbering to 100 buildings from 1 to 100.
Ans: 20
197. Rearrange the alphabets REGHFTYD(SOMETHING LIKE THAT) . find the type of
rearranged word belongs to:
Animal
Tree
Bird
Thing
Ans: c (bird)
198. There is a factory which is producing the bicycles and four wheelers. One day the total
production of wheels is 158. Find out the possible no. of bicycles produced
6
7
8
9
Ans: 7 (note: there is a probability of the answer of 19 also for this question . take care of it. )Also
they change the total number of wheels to 198.
199. Four years hence the average of 6 members is 45. Now a person is added and the avg
becomes 48. What is the age of added person?
Ans: 42
There is another question with diff. details. For that ans is :69 (problem is not remembered but ans
is 69 only)
200. A dog two hours early before the horse started. The horse reached the dog after 6 hours with
the speed of 16kmph . find the speed of dog. I cant remember the exact figures.
Ans may be 16.5kmph

Will you provide me the sample paper of the Aptitude test of the TCS recruitment test ?

[Quick Sam]

As you want I am here providing you sample paper of the Aptitude test of the TCS recruitment test.
Aptitude test paper of the TCS
1. The figure shown can be folded into the shape of a cube. In the resulting cube, which of the lettered faces is opposite the face marked x?

a. c
b. a
c. d
d. b
Ans: C
Explanation: If you fold the above picture at the dotted lines, X and C are opposite to each other.



2. In how many ways a team of 11 must be selected from 5 men and 11 women such that the team must comprise of not more than 3 men?
a. 1565
b. 1243
c. 2256
d. 2456
Ans: C
Explanation;
The team may consist of 0 men + 11 women, 1 men + 10 women, 2 men + 9 women, or 3 men + 8 women.
So Number of ways are = 11C11+5C1×11C10+5C2×11C9+5C3×11C8 = 2256

3. Given that 0 < a < b < c < d, which of the following the largest ?
a.(c+d) / (a+b)
b.(a+d) / (b+c)
c.(b+c) / (a+d)
d.(b+d) / (a+c)
Sol: A
Explanation: Take a = 1, b = 2, c = 3, d = 4. option A is clearly true.

4. Eesha bought 18 sharpeners for Rs.100. She paid 1 rupee more for each white sharpener than for each brown sharpener. What is the price of a white sharpener and how many white sharpener did she buy ?
a. Rs.5, 10
b. Rs.6, 10
c. Rs.5, 8
d. Rs.6, 8
Sol: B
Explanation: Just check the options. If she bought 10 white sharpeners at Rs.6 per piece, She has spent Rs.60 already. And with the remaining Rs.40, she bought 8 brown sharpeners at 40/8 = Rs.5 which is Rs.1 less than White sharpener.

5.

The fourteen digits of a credit card are to be written in the boxes shown above. If the sum of every three consecutive digits is 18, then the value of x is :
a. 3
b. cannot be determined from the given information.
c. 2
d. 1
Sol : A
Explanation:
Let us assume right most two squares are a , b
Then Sum of all the squares = 18 x 4 + a + b .......... (1)
Also Sum of the squares before 7 = 18
Sum of the squares between 7, x = 18
and sum of the squares between x , 8 = 18
So Sum of the 14 squares = 18 + 7 + 18 + x + 18 + 8 + a + b (2)
Equating 1 and 2 we get x = 3

6. Four people each roll a four die once. Find the probability that at least two people will roll the same number ?
a. 5/18
b. 13/18
c. None of the given choices
d. 1295/1296
Sol: B
Explanation:
The number of ways of rolling a dice where no two numbers probability that no one rolls the same number = 6 x 5 x 4 x 3
Now total possibilities of rolling a dice = 64
The probability that a no one gets the same number = 6×5×4×364=518
So the probability that at least two people gets same number = 1−518=1318

7. Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in
a. 96 days
b. 48 days
c. 32 days
d. 24 days
Sol:
Explanation: Simple one. Let the total work to be done is 48 meters. Now Jake can dig 3 mts, Paul can dig 2 mts a day. Now all of them combined dug in 8 days so per day they dug 48/8 = 6 mts. So Of these 8 mts, Hari capacity is 1 mt.
So he takes 48 /1 = 48 days to complete the digging job.

Updated :

8. Eesha bought 18 sharpeners for Rs.100. She paid 1 rupee more for each white sharpener than for each brown sharpener. What is the price of a white sharpener and how many white sharpener did she buy ?
a. Rs.5, 10
b. Rs.6, 10
c. Rs.5, 8
d. Rs.6, 8
Ans:
Explanation: This question can be solved easily by going through options.
A. White sharpener total cost: Rs.5 x 10 = Rs.50. Brown sharpeners cost = Rs.4 x 8 = 32. Total cost is only Rs.82. Wrong option.
B. White sharpener total cost: Rs.6 x 10 = Rs.60. Brown sharpeners cost = Rs.5 x 8 = 40. Total cost is Rs.100. Correct option.

9. The sum of the digits of a three digit number is 17, and the sum of the squares of its digits is 109. If we subtract 495 from the number, we shall get a number consisting of the same digits written in the reverse order. Find the number.
a. 773
b. 683
c. 944
d. 863
Ans: D
Explanation: Check options. Sum of the squares should be equal to 109. Only Options B and D satisfying. When we subtract 495, only 863 becomes 368.

10. Mark told John "If you give me half your money I will have Rs.75. John said, "if you give me one third of your money, I will have Rs.75/- How much money did John have ?
a. 45
b. 60
c. 48
d. 37.5
Ans: B
Explanation: Let the money with Mark and John are M and J respectively.
Now
M + J/2 = 75
M/3 + J = 75
Solving we get M = 45, and J = 60.

11. Eesha has a wheat business. She purchases wheat from a local wholesaler of a particular cost per pound. The price of the wheat of her stores is $3 per kg. Her faulty spring balance reads 0.9 kg for a KG. Also in the festival season, she gives a 10% discount on the wheat. She found that she made neither a profit nor a loss in the festival season. At what price did Eesha purchase the wheat from the wholesaler ?
a. 3
b. 2.5
c. 2.43
d. 2.7
Ans: C
Explanation: Faulty spring balance reads 0.9 kg for a kg" means that she sells 1 kg for the price of 0.9 kgs, so she looses 10% of the price because of the faulty spring balance. She looses another 10% because of the discount.
So, she actually sells 1 kg for $3×0.9×0.9=$2.43 and since at that price she made neither a profit nor a loss, then Eesha purchase the wheat from the wholesaler for $2.43.

12. Raj goes to market to buy oranges. If he can bargain and reduce the price per orange by Rs.2, he can buy 30 oranges instead of 20 oranges with the money he has. How much money does he have ?
a. Rs.100
b. Rs.50
c. Rs.150
d. Rs.120
Ans: D
Explanation: Let the money with Raj is M. So M20−M30=2. Check options. Option D satisfies.

13. A city in the US has a basketball league with three basketball teams, the Aziecs, the Braves and the Celtics. A sports writer notices that the tallest player of the Aziecs is shorter than the shortest player of the Braves. The shortest of the Celtics is shorter than the shortest of the Aziecs, while the tallest of the Braves is shorter than the tallest of the Celtics. The tallest of the Braves is taller than the tallest of the Aziecs.
Which of the following can be judged with certainty ?

X) Paul, a Brave is taller than David, an Aziec
Y) David, a Celtic, is shorter than Edward, an Aziec

a. Both X and Y
b. X only
c. Y only
d. Neither X nor Y
Ans: B
Sol: We solve this problem by taking numbers. Let the shortest of Braves is 4 feet. Then tallest of Aziecs is less than 4. So let it be 3 feet.
A -> 2 - 3
B -> 4 - 6
C -> 1 - 7
From the above we can safely conclude X is correct. but Y cannot be determined.

14. There are 3 classes having 20, 24 and 30 students respectively having average marks in
an examination as 20,25 and 30 respectively. The three classes are represented by A, B and C and you have the following information about the three classes.
a. In class A highest score is 22 and lowest score is 18
b. In class B highest score is 31 and lowest score is 23
c. In class C highest score is 33 and lowest score is 26.

If five students are transferred from A to B, what can be said about the average score of A; and what will happen to the average score of C in a transfer of 5 students from B to C ?
a. definite decrease in both cases
b. can't be determined in both cases
c. definite increase in both cases
d. will remain constant in both cases
Ans: B
Explanation:
Class A average is 20. And their range is 18 to 22
Class B average is 25. And their range is 23 to 31
Class A average is 30. And their range is 26 to 33
If 5 students transferred from A to B, A's average cannot be determined but B's average comes down as the highest score of A is less than lowest score of B.
If 5 students transferred from B to C, C's average cannot be determined the B's range fo marks and C's range of marks are overlapping.

15. The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 3 years ?
a. Rs.13435
b. Rs.23125
c. Rs.19000
d. Rs.16875
Ans: D
Explanation: 40,000(34)3=16875

16. Rajiv can do a piece of work in 10 days , Venky in 12 days and Ravi in 15 days. They all start the work together, but Rajiv leaves after 2 days and Venky leaves 3 days before the work is completed. In how many days is the work completed ?
a. 5
b. 6
c. 9
d. 7
Ans: D
Explanation: Let the work be 60 units. If venky worked for 3 days, and the remaining days of work be x days, total days to complete the work be x + 3 days.
Now Capacities of Rajiv is 60/10 = 6, Venky is 5, Ravi is 4.
(6 + 5 + 4) 2 + (5 + 4) (x - 3) + 5 x 3 = 60.
Solving we get x = 4. So total days to complete the work is 7 days.

17. A man has a job, which requires him to work 8 straight days and rest on the ninth day. If he started work on Monday, find the day of the week on which he gets his 12th rest day.
a. Thursday
b. Wednesday
c. Tuesday
d. Friday
Ans: B
Explanation:
He works for 8 days and takes rest on the 9th day. So On the 12th rest day, there are 9 x 12 = 108 days passed. Number of odd days = (108 - 1) / 7 = 107 / 7 = 2. So the 12th rest day is wednesday.

18. On a 26 question test, five points were deducted for each wrong answer and eight points were added for each correct answer. If all the questions were answered, how many were correct, if the score was zero ?
a. 10
b. 12
c. 11
d. 13
Ans: A
Explanation:
Take options and check. If 10 are correct, his score is 10 x 8 = 80. But 16 are wrong. So total negative marking is 16 x 5 = 80. So final score is zero.