TCS Aptitude Modal Papers

Hey there! Here I seeking about aptitude Modal papers Of TCS interview. Would you please provide me aptitude modal questions of TCS placement ??

[Kiran Chandar]

As you are looking for TCS aptitude modal questions, here I am providing some question, that has been asked in interview:

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

1. (38 x 142) ÷ (4096) =?
1) 337.25
2) 269.8
3) 490
4) 84.3125
5) None of these
2. 3 + 33.3 + 3.03 + 333 =?
1) 666
2) 636.33
3) 372.33
4) 672.66
5) None of these
3. (17.52)2 =?
1) 280.9504
2) 290.5904
3) 306.9504
4) 280.5904
5) None of these
4. (37% of 2370) – (41% of 2105) =?
1) 13.85
2) 12.56
3) 13.10
4) 12.15
5) None of these
Directions (Q. 5-14):
In the following passage there are blanks, each of which has been numbered. These numbers
are printed below the passage and against each five words are suggested, one of which fits the
blank appropriately. Find out the appropriate words. It is a 5 that Communists are opposed to
economic reforms. The fact of the life is that Communists are the most 6 fighters for
economic reforms, the reforms that lead to self-reliant and democratic economic development
with social justice. To term the market-oriented changes as reform is a 7. The development
strategy 8 under Structural Adjustment and dictated by the World Bank, IMF and WTO is a
strategy for the 9 development of capitalism under which the working people, who are the
main productive force, are made 10, kept unemployed, thrown out of jobs, and so on. It has
no social relevance. In the phase of globalization, no country can develop in 11 and entry of
the foreign capital can not be12 altogether. Integration with world economy has to ensure the
free and speedy 13 of the national economy. Foreign capital has to be allowed in the areas
where we really need huge investment, which our resources cannot meet, and where we need
technology, not available in the country. Economic14 should not mean license for plunder by
MNCs.
5.
1) problem
2) mysticism
3) curiosity
4) misconception
5) mistake
6.
1) liberal
2) demanding
3) strident
4) detrimental
5) horrible
7.
1) misnomer
2) terrible
3) danger
4) tragedy
5) shame
8.
1) reached
2) verified
3) assembled
4) hurled
5) envisaged
9.
1) westernised
2) unfettered
3) gross
4) accumulated
5) astounding
10.
1) labourers
2) culprit
3) redundant
4) escapists
5) icons
11.
1) unison
2) liberalisation
3) coalition
4) association
5) isolation
12.
1) forced
2) loaded
3) denied
4) stated
5) scrutinised
13.
1) development
2) empowerment
3) unity
4) mobilisation
5) cohesion
14.
1) growth
2) potential
3) strategy
4) reforms
5) vitality
Directions (Q. 15-24): Given below are two passages. Read them carefully and answer the
questions given below them.
Certain words are given in bold to help you to locate them while answering some of the
questions.
Passage – I
Americans have a variety of superstitions like walking under a ladder, a black cat crossing
your path and the number 13, none of which seem to have a logical reason for being.
However, there are no serious taboos attached to them. Individuals may have an array of
sensitivities based on their personal beliefs. If you do offend someone inadvertently, a sincere
apology will usually go a long way toward making amends. The one sensitivity that almost
all Americans have is about slights to their country. Either complaining about the US or
expressing an attitude that your culture is superior can cause Americans to take offence.
Americans do possess a great deal of culture arrogance, and think that their way is the only
right way. They think that the US is the best place on earth, otherwise why would everybody
by trying to get here? Whether you agree or not, remember that you are a guest in the US and
it would be rude for a guest to insult his host
15. Which of the following can be presumed about Americans regarding superstition?
1) It is a cultural custom for them to believe in superstitions.
2) They can satisfy you by placing arguments about the validity of superstitions.
3) Americans cannot justify their adherence to superstitions.
4) Americans are highly superstitious people.
5) None of these
16. If you offend an American inadvertently, a sincere apology will
1) take a long time to repair the damage.
2) not necessarily by enough to amend it.
3) be turned down.
4) succeed in making amends.
5) None of these
17. Americans feel usually offended whenever there is a(n)
1) argument posed before them.
2) rude remark against their culture.
3) threat to their sovereignty.
4) attack on their religion.
5) None of these
18. What makes the Americans feel that their country is the best in the world?
1) mad rush of people from other countries to America
2) the best facilities available there
3) their culture and custom which they feel is the best in the world
4) the economic superiority of America
5) None of these
19. What is the antonym of the word inadvertently as given in bold in the passage?
1) intentionally
2) occasionally
3) unwittingly
4) avowedly
5) adroitly
Passage – II
Population is one resource that never depletes and is a living development parameter. But it is
at times interpreted as a hindering factor for development. This happens because population
is both a consumer and producer. There are two schools of thought. One which treats
population as a resource, and the other as a burden to the society. The truth, in fact, lies
somewhere in between. The interplay of factors responsible for population growth and those
for development decide the resourcefulness of population.
20. Why is it said that population is one resource that never depletes?
1) because other resources deplete
2) because population is an ever-increasing phenomenon
3) because population is seen as a resource
4) because it is an easily available commodity
5) None of these
21. Why population is at the same time treated as a resource and also as a burden to the
society?
1) because population is the creator and at the same time it is also the user
2) because a less number of people are engaged in production and a large number of people
are dependent on it
3) because population is not always a producer but it is always a consumer
4) when the growth of population is checked it is a resource and when it increases rapidly it is
burden to the society
5) None of these
22. The resourcefulness of population can be decided by
(i) skilled manpower (ii) scale of development (iii) population control measures (iv) scale of
population growth
1) All of the above
2) Only (i), (ii) and (iii)
3) Only (i) and (iii)
4) Only (ii) and (iv)
5) None of these
23.Which of the following is true in context of the passage?
1) It is not necessary that the population always grows.
2) Population is burdensome.
3) Most of the natural resources are exhaustible.
4) Population is a big consumer and a meager producer.
5) None of these
24.What will be the synonym of the word depletes as given in bold in the passage?
1) disappears
2) sustains
3) worsens
4) evades
5) reduces
25. – 65 x39 + 335 =?
1) – 849225
2) – 2200
3) – 2870
4) 2870
5) None of these
ANSWERS : 1. (1) 2. (3) 3. (3) 4. (1) 5. (4) 6. (3) 7. (1) 8. (5) 9. (2) 10. (3) 11.
(5) 12. (3) 13. (1) 14. (4) 15. (3) 16. (4) 17. (2) 18. (1) 19. (1) 20. (2) 21. (1) 22.
(3) 23. (3) 24. (5) 25.(2)