TATA CONSULTANCY SERVICES
Paper Type : Whole Testpaper
Test Date : 29 July 2007
Test Location : Bangalore
TCS PAPER ON 29th JULY AT BANGALORE
The recruitment procedure 4 tcs:
Online test
Technical Interview
Management Round
HR Interview
ONLINE TEST
The test was conducted after d preplacement talk. U will b given user
ids
2 attend d online interview.
Remember ur user ids.
4 d online test u need 2 giv ur user id.den dey will giv u a
password.logon using dat password n ur online test starts.d time will b
displayed on d screen.d qstn nos r also displayed on d top right corner
of d screen.u can click on any qstn no n switch over 2 any qstn within
dat section only.d qstn nos u attempted will bcom green n d qst nos u
havnt attempted will remain orange so dat u can keep a track of how many
u atemptd n how many u havnt.Only 1 qstn will b displayd on d screen.if
u attempt d qstn d next qstn will b automatically displayd or other wise
if u don wanna attempt it n move on 2 anoder one u can do dis by
clicking on d qstn no u want
Below every qstn 5 optns will b given choose d correct answer n below
these 5 options der are a b c d e options .u hav click here on d correct
option n then click on submit. dis is a little bit confusing.so u can
practise by taking a sample online test.b4 starting d online test u will
b guided wid a sample online test.don worry
U hav 3 sections 4 d online test:
1.VERBAL SECTION
dis section consists of 28 qstns.u hav 2 answer in 20 mins.keep track of
time.(28 marks)
Ull hav 10 antonyms 10 synonyms a small passage wid blanks n a reading
comprehension(RC). 4 blanks options will b given u hav 2 choose d rite
one.check whether ur answering d blank 4 d rite qstn no
For example the 5 olympic rings r of1colours.dey
r 2 and  3 and

Here if u wanna answer blank 1 click on qstn no 1 n answer if u wanna
answer blank 3 u hav 2 go 4 qstn no 3.
D same wid rcs. If der r 5 qstns 4 a rc all d qstns 4 d rc r not
displayd at a time.each qstn will b displayed one after d oder but d
passage will b displayed 4 every qstn need not worry
NOTE: For synonyms prepare gre barrons (12th or 11th or 13th edition) d
qstns dat appear after every word list (ie exercises at d end which r
multiple choice ones)
For antonums prepare d chapter on antonyms in gre barrons n d antonym
qstns in d model papers .4 rcs prepare d same barrons especially dat 4m
d model papers.4 blanks also prepare gre.but u may not get dem 4
sure.rcs antonyms n synonyms r 4 sure
Verbal: Synonyms:
Brim: edge rim lip
Renounce: give up, reject,
Caprice: whim, impulse ,fancy
Brash: HASTY , RASH
Limber: supple, nimble, flexible
Admonish: reprove, caution, warn about
Tranquil: calm , still, relaxing, quiet
Moribund: declining, waning, past it
Mundane:ordinary, dull, everyday
1. Seedy :sordid, sleazy,
2. Buxom
3. fallible: imperfect,mortal,unsound
4. Misanthrope
verbal: chide
Doltish
Protract
Mawkish
disgeneous,
Repugnance,
Vouchsafe....
Antonyms (This came mostly from GRE Barron's Antonyms exercise)
Encumber
Opacity
Bilk
Luminary
Spur
Stupefy
Cacophonous
Delineate
decorum
equanimity: agitation, luster, stirring
2.QUANTITATIVE APTITUDE
u hav 2 solv 32 qstns in 40 mins(32marks)
4 dis section prepare old papers sometimes ull get dem withot changing
nomericals also dis section is very easy
1st prepare d qstns below den ull definitely get a gud score 4 apti
AGES
1)Last year pandit was thrice his sister's age.Next year he is only
twice her age.After 5 years what is pandit's age.
a)2 b)12 c)11 d)14 ans:b
2) Jalia is twice older than qurban . If jalia was 4 years younger,
qurban was 3 years older ther diff. between their ages is 12 years .
what is the sum of thier ages a)67 b)57 c)36 d)none ans: b
3) Fathers age is 5 times his son's age. 4 years back the father was 9
times older than son.Find the fathers' present age. Ans. 40 years
4)Joe's father will be twice his age 6 years from now. His mother was
twice his age 2 years before. If Joe will be 24 two years from now, what
is the difference between his father's and mother's age? a) 4 b) 6 c) 8
d) 10
ALLIGATION
1).In a mixture, R is 2 parts, S is 1 part. In aoder to make S to 25% of
the mixture, howmuch R is to be added?
AVERAGE
1) 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
2) Hansie made the following amounts in seven games of cricket in India:
Rs.10, Rs.15, Rs.21, Rs.12, Rs.18, Rs.19 and Rs.17(all figures in crores
of course).Find his average earnings.Ans. Rs.16 crore
3)Average of 5 number is 10 sum of 3 numbers is 16,what is the average
of other two numbers? answer 33
4)THREE COMPANIES WORKING INDEPENDENTLY AND GET SAVINGS 10%, 20%, 25%.
IF THE COMPANIES WORK JUST OPPOSITE THEN WHAT WILL BE THE NET SAVING?
5)If A, B and C are the mechanisms used separately to reduce the wastage
of fuel by 30%, 20% and 10%. What will be the fuel economy if they were
used combined. Ans 20%
BOATS
1) If a man can swim downstream at 6kmph and upstream at 2kmph, his
speed in still water is:a. 4kmph b. 2kmph c. 3kmph d. 2.5kmph
CAR
1)A car is filled with four and half gallons of oil for full round trip.
Fuel is taken 1/4 gallon more in going than coming. What is the fuel
consumed in coming up?
Sol Before the trip, car is filled with = 4 ½ gallon of oil
Let ‘X’ be the quantity of fuel consumed for the trip in one direction
The fuel consumed while going = X + ¼
The fuel consumed while coming = X
Therefore, the fuel consumed for the trip = (X + ¼) + X = 4 ½
š 2X + ¼ = 4 ½ => 2X = 4 ½  ¼ => 2X = 4 ¼ => X= 2 gallons approx
CHAIN RULE
1)A can copy 50 papers in 10 hours while both A & B can copy 70 papers
in 10 hours. Then for how many hours required for B to copy 26 papers?
13
CHESS BOARD
1) in 8*8 chess board what is the total number of squares refer odel
ans:204
CODING
1)THERE IS A WORD 'PERLMENTASITION'.. IF 1ST AND 2ND ,3RD & 4TH WORDS
ARE CHANGED AND SO ON, THEN FIND THE 14TH LETTER FROM RIGHT AFTER
CHANGE.
2)If TAFJHH is coded as RBEKGI then RBDJK can be coded as  ans
qcckj
3)a series of letters are given how many Ws r followed by F and preceded
by T. 12.SURFW Code is translated as SHEET…..these kinda ques r there…..
4)Code Interchanging, A word is given…. Letters are reversed..u r asked
to find the nth letter from right or left….
Eg.DESTABILIZATION AnsT
5) BFGE CODED AS CEHD THEN CODE PVHDJ ANS: QUICK
6) FIND THE NO. OF Y FOLLOWED BY W BUT THAT IS NOT FOLLOWED BY Z. Y W R
U D D Y W Z ...............
7) If VXUPLVH is written as SURMISE, what is SHDVD ?
Ans. PEASA (hint: in the first word, the alphabets of the jumbled one is
three alphabets after the corresponding alphabet in the word SURMISE. S
= V3, similarly find the one for SHDVD) If DDMUQZM is coded as CENTRAL
then RBDJK can be coded as 
Ans. QCEIL (hint: Write both the jumbled and the coded word as a table,
find the relation between the corresponding words, i.e C= D1, N=M+1 &
so on
9) In the word ECONOMETRICS, if the first and second , third and forth
,forth and fifth, fifth and sixth words are interchanged up to the last
letter, what would be the tenth letter from right?
Ans. word is CENOMOTEIRSC tenth word is R
10)If D_MUQZM is coded as CENTRAL then RBDJK can be coded as
11)In a certain format TUBUJPO is coded as STATION. The code of which
string is FILTER?
12) What is the code formed by reversing the First and second letters,
the third and fourth letters and son on of the string SIMULTANEOUSLY?
13)In the word ORGANISATIONAL, if the first and second, third and forth,
forth and fifth, fifth and sixth words are interchanged up to the last
letter, what would be the tenth letter from right?
ANS: I(ROANISATIONALG)
COST
1)A power unit is there by the bank of the river of 750 meters width. A
cable is made from power unit to power a plant opposite to that of the
river and 1500mts away from the power unit. The cost of the cable below
water is Rs. 15/ per meter and cost of cable on the bank is Rs.12/ per
meter. Find the total of laying the cable. Ans 1000 (24725  cost) 20250
Ans. Rs. 22,500 (hint: the plant is on the other side of the plant i.e.
it is not on the same side as the river)
2) The cost of one pencil, two pens and four erasers is Rs.22 while the
cost of five pencils, four pens and two erasers is Rs.32.How much will
three pencils, three pens and three erasers cost?Ans. 27(let x b pencil,
y b pen and z b eraser.. u get x+2y+4z=22 and 5x+4y+2z=32 add both
6x+6y+6z=54 div by 2 you get 27)
3)2 oranges,3 bananas and 4 apples cost Rs.15 . 3 ornages 2 bananas 1
apple costs Rs 10. what is the cost of 3 oranges, 3 bananas and 3 apples
ANs Rs 15.(same as above)
4) A shopkeeper bought a watch for Rs.400 and sold it for Rs.500.What is
his profit percentage?Ans. 25%
5) What percent of 60 is 12?Ans. 20%
6)Three men goes to a hotel to stay ,the clerk says $30 per room/day so
all the three plans to stay in one room so each pays $10.After some time
the clerk realises that he made a mistake of collecting $30 but the room
cost only $25,there fore he decides to return $5 to them so he calls the
roomboy and gives him $5 asking him to return.The roomboy keeps $2 with
him and he returns only $3($1 for each).Now Totally all have paid $9
each($27)+rommboy $2 which is equal to $27.where did $1 go,who has made
the mistake?
7) two pencils cost 8 cents. then 5 pencils cost? (20 cents) A box of
150 packets consists of 1kg packets and 2kg packets. Total weight of box
is 264kg. How many 2kg packets are there
a) 96 b)67 c)100 d)114 ans:d
9)Which is more economical of the following
a)2kg  30/ b)8kg  160/ c)5kg  80/
10)Satish earns 240 weekly.12% of big amount + earning weekly = 540
what is the big amount
a)3200 b)3600 c)2500 d)1000 ans: c
11) Bhanu spends 30% of his income on petrol on scooter. ¼ of the
remaining on house rent and the balance on food. If he spends Rs.300 on
petrol then what is the expenditure on house rent? a) Rs.525 b) Rs.1000
c) Rs.675 d) Rs.175(ans 175)
12) A sporting goods store ordered an equal number of white and yellow
balls. The tennis ball company delivered 45 extra white balls, making
the ratio of white balls to yellow balls 1/5 : 1/6. How many white
tennis balls did the store originally order for?
a) 450 b) 270 c) 225 d)None of these ans=180
13) There is a circular pizza with negligible thickness that is cut into
'x' pieces by 4 straight line cuts. What is the maximum and minimum
value of 'x' respectively?
a) 12,6 b) 11,6 c) 12,5 d) 11,5
14) 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
COUNTERFEIT
1)in 80 coins one coin is counterfiet what is minimum number of
weighings to find out counterfiet coin
CUBE
1)vertices edges and surfaces of a cube Ans8,12,6
CURVES
1)STUDY THE NATURE OF THE CURVES Y==LOGX, XY==C etc
2)curve was given & in option equation was given , you have to mark the
correct equation(curve and equation was of general logx,ex ,sinx,cosx,tanx,x
curves)
3)values of x &f(x) was given (like x=1000&f(x)=3) and equations was
given
4)WHICH SHAPE WILL BE OBTAINED BY USING THESE VALUES OF X,Y
X Y
0 0.00001
10 1.02
100 1.72
1000 3.00
9999 4.72
4a)WHICH SHAPE WILL BE OBTAINED BY USING THESE VALUES OF X ,Y
XY
00.00001
101.02
1001.72
10003.00
99994.72
5)WHICH EQUATION THAT BEST SUITS THIS CURVE
A LINE CUTS X AT 1 WHEN Y=0 AND X=0 WHEN Y=3 AND GOES UPWARD
Y
X
DATA INTERPRETATION
1) CORRECT CHART WITH CORRECT VALUES
X YEAR Y NO OF PERSONS
1. AVERAGE NO. OF PERSONS FROM 1995 – 1999
2. WHICH YEAR HAS LARGE DIFFERENCES IN NO OF PERSONS
3. IF 10% OF PEOPLE LEAVES THE OFFICE IN 1998 THEN, HOW MANY FRESH
CANDIDATES CAN BE ADDED IN THE NEXT YEAR
2)Given a Bar Chart showing the sales of a company. (In Figure) The
sales in years as shown in the figure are (in crores) 19981999  130,
19971998  90, 19961997  90, 19951996  70
1. The highest growth rate was for the year Ans. 19981999
2. The net increase in sales of the company in the year span of
19951999 Ans. 60 crores.
3. The lowest growth rate was for the year Ans. 1997
4.Year 95 96 97 9899 Members 1001701050
i ) Which year has maximum members growth?
M 100
1
E
M 70
10
B 60
E 50
R Year
S 95 96 97 98
i ) Which year has maximum members growth?
DEGREES
1) TIMEDEGREE
27(deg) 6' 43.15"
45(deg) 31' 4.3"
THEN WHAT WILL BE THE DEGREE WHEN TIME IS 3 O CLOCK
DIRECTIONS
1)A Flight takes off at 2 A.M from northeast direction and travels for
11 hours to reach the destination which is in north west direction.
Given the latitude and longitude of source and destination. Find the
local time of destination when the flight reaches there? 7 AM or 1.00 PM
2) 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.
a) 6:00 am b) 6:40am c)7:40 d)7:00 e)8:00 (Hint : Every 1 deg longitude
is equal to 4 minutes . If west to east add time else subtract time) Ans
8:00
3)A moves 3 kms east from his starting point . He then travels 5 kms
north. From that point he moves 8 kms to the east.How far is A from his
starting point?Ans. 13 kms
4)Aeroplane is flying at a particular angle and latitude,after some time
another latitude is given..(8 hrs later), u r asked to find the local
time of the place.
5)AN AEROPLANE STARTS FROM A (SOME LATITUDE IS GIVEN ACCORDING TO
PLACE)AT 2 AM LOCAL TIME TO B(SOME LATITUDE). TRAVELLLING TIME IS 10
HOURS. WHAT IS THE LOCAL TIME OF B WHEN IT REACHES B
6)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.
7) A FILE IS TRANSFERRED FROM A PLACE TO ADESTINATION CAPABLE OF 10 KB .
THEY GIVEN SOME RATE OF TRANSFER. U HAVE FIND A EQUATION THAT BEST SUIT
THIS.
FROG
1)In a well of 20feet depth, a frog jumps 5feet up in the morning and
comes 4feet down in the evening,on which day the frog gets out of the
well.
GAMES
1) 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?ans: 138
2)A & B are playing a game .There are 8 oranges in a row on the
table.one Player can take 14 oranges in a pick (a maximum of 4),one who
picks the last orange wins the game.'A' plays first How many oranges
should he pick first time inorder to win the game.
answer 3.
LCM
1) LCM of x and y is 36 and HCF of x and y is 4. If x = 4 then which of
the following is definitely not true?
a)Y is divisible by 3 b)Y is divisible by 6 c)Y is divisible by 9 d)X+Y
is divisible by LOGARITHMS
1) log .342==..., log . 343==.... then log .341==????? etc...
2)value of log3.142& log3.143 was given and log3,141 was asked so you
have to only see on answer and mark
3)If log 0.317=……… and log 0.318=………. Then find the value of log 0.319.
MATCH
1)Match the following:
1. Male  Boy > a. A type of
2. Square  Polygon > b. A part of
3. Roof  Building > c. Not a type of
4. Mushroom  Vegetables > d. A superset of
Ans: 1 d, 2 a, 3 b, 4 c
2)Match the following.
1. brother  sister > a. Part of
2. Alsatian  dog > b. Sibling
3. sentence  paragraph > c. Type of
4. car  steering > d. Not a type of
Ans. 1b, 2c, 3a, 4d
3)SCOOTER  AUTOMOBILE A. 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
4)MATCH THE FOLLOWING
A B
1. SENTENCE, PARAGRAPH 1. TYPE OF
2. BASMATI, WHEAT 2. A PART OF
3. BROTHER, SISTER 3. NOT A TYPE OF
4. BREIGAL, DOG 4. SIBLING
ANS: 1> 2 2>1 3>3 4>4
MATHEMATICAL SYMBOLS
1) Given $ means Tripling and % means change of sign then find the value
of $%$6%$%6 ANS : 72
2)5&%&5 Ans30 (Check)
3) WHAT IS THE VALUE OF % # % (5) + # % # (2) WHERE %  DOUBLING #
RECIPROCAL
4)Find the value of @@+25++@16, where @ denotes "square" and + denotes
"square root". Ans: 621 or 121
MATRIX
1)Find the singularity matrix from a given set of matrices?(Hint det(A)====0)
MEMORY
1)If the vertex (5,7) is placed in the memory. First vertex (1,1) 's
address is 1245 and then address of (5,7) is 1279
2)A 2D array is declared as A[9,7] and each element requires 2 byte. If
A[ 1,1 ] is stored in 3000. Find the memory of A[8,5] ? 3106…
(one easy method to do this is [givem col* no of bits] …….. [previous
ans * (req no of rows – 1)]
plus add the no of bits left…its very easy if u do this way..…( i.e. in
this case …. 7*2=14… 14*7=98….this points to first element of 8th row so
still 4 element are left 98+2+2+2+2=106 so totally 3106)
3)one circular array is given (means the memory allocation takes place
like a circular fashion )dimension (9X7) .starting address is 3000.find
the address of (2,3)..555
4)Some has got the qs. As memory allocation takes place coloumnwise.u
have to find out the address.
5)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? Ans 0. 5%( SQRT 101N)
6)In a twodimensional 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). Ans 3212
MIXTURE
1)16 litre can, 7 litre can,3 litre can,the customer has to be given 11
litres of milk using all the three cans only explain?
NUMBER SYSTEM
1) The number 362 in decimal system is given by (1362)x in the X system
of numbers find the value of X a}5 b) 6 c) 7 d) 8 e) 9
2) Decimal no 319 is equal to 1234.This 1234 belongs to which Number
systems
3)194 base 10 = ____ base 5 (1234)
4) In which of the system, decimal number 194 is equal to 1234? ANS:5
5) Convert the decimal number 310 to the base 6. Ans: 1234
6) Find the value of the decimal number to the base 7. Ans. 1436.
7) In which of the system, decimal number 384 is equal to 1234?
In which of the system, decimal number 184 is equal to 1234? Ans 5
9) Find the value of the 678 to the base 7. ans 1656
10)The base 5 representation of the decimal number 2048 is _____.
ODD MAN OUT
1) LINUX, WINDOWS 98, SOLARIS, SMTP (ANS: SMTP)
2)MVS
3).JAVA b) LISP c) Smaltalk d)Eiffle Ans: LISP ( All other languages are
OOPS)
4)1.http 2.arp 3.snmp 4.sap Anssap
5)1.linux 2.windows NT 3.sql server 4.Unix AnsSql server
6)1.SAP 2.ARP 3.WAP 4.TCP IP
7)a. Oracle b. Linux c. Ingress d. DB2
a. SMTP b. WAP c. SAP d. ARP Ans:SAP
9)a. WAP b. HTTP c. BAAN d. ARP Ans:Baan
10)a. LINUX b. UNIX c. SOLARIS d. SQL SERVER Ans:SQL SERVER
11)a. SQL b. DB2 c. SYBASE d. HTTP Ans: HTTP
12)a. Oracle b. Linux c. Ingress d. DB2 ANS:LINUX
ORTHOGONAL PAIRS
1)Which of the following are orthogonal pairs? a. 3i+2j b. i+j c. 2i3j
d. 7i+j ans a,c
2) (a) 2+3i (b)1+i (c) 32i (d) 17i .Find which of the above is
orthogonal. Ans a,c
3)Sum of slopes of 2 perpendicular st. lines is given. Find the pair of
lines from the given set of options which satisfy the above condition?
PARTNERSHIP
1) If Rs.1260 is divided between between A, B and C in the ratio 2:3:4,
what is C's share?Ans. Rs. 560
2) A sum of money is divided among A, B and C such that for each rupee A
gets, B gets 65paise and C gets 35paise. If C's share is Rs.560, the sum
is …
a)2400 b)2800 c)3200 d)3800
PERCENTAGE
1) What percent of 60 is 12?Ans. 20%
2) A report consists of 20 sheets each of 55 lines and each such line
consists of 65 characters. This report is retyped into sheets each of 65
lines such that each line consists of 70 characters. The % reduction in
the number of sheets is closest to
a)20 b)5 c)30 d)35
3) 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
PERMUTATIONS
1)How many 3 digits with 3 Distinct digits are there from 1001000.
POWER OF
1)What is the power of 2? a. 2068 b.2048 c.2668 Ans:2048
2) 8 to the power of x is 32,what is the value of x?
3)Which is a/not a power of 2 or 3.
4)Power of 4 Ans4096
5)WHICH ONE WILL BE THE EXACT POWER OF 3
(i) 2768 (ii)2678 (III) 2187
PRIME NUMBERS
1)Find the highest prime number that can be stored in an 8bit computer.
2)What is the max possible 3 digit prime number? Ans 997
3)Largest prime no. in a 6 bit,8 bit (Ans 127),9 bit microprocessor
4)WHAT IS THE LARGEST PRIME NO THAT IS STORED IN 8 BIT PATTERN ANS: 253
(NOT SURE)
5)What is the largest prime number that can be stored in an 8bit
memory? 251 or 127
6)Which is the largest prime number that can be stored in a 9bit
register?509
PROBABILITY
1)in a company 30% are supervisors and 40% employees are male if 60% of
supervisors are male. what is the probability that a randomly choosen
employee is a male or female?
2) 12 Blacksox and 12 Whitesox mixed in a box,a pair of sox is picked at
a time,in which pick/how many pick ,to get the right pair(black&black or
white&white)?
3)Two coins one with HEAD IN BOTH SIDES and the other coin HEAD IN ONE
SIDE AND TAIL IN THE OTHER SIDE is in a box,a coin is taken at random
and FOUND HEAD IN ONE SIDE .what is the probability that THE OTHER SIDE
IS HEAD?
4) There are 5 distinct pairs of white socks and 5 pairs of black socks
in a cupboard. In the dark, how many socks do I have to pull out to
ensure that I have at least 1 correct pair of white socks? a)3 b)11 c)12
d)16
PROBLEMS ON NUMBERS
1)What number should be added to or subtracted from each term of the
ratio 17 : 24 so that it becomes equal to 1 : 2.Ans. 10 should be
subtracted
2)The sum of the digits of a two digit number is 8. When 18 is added to
the number, the digits are reversed. Find the number?Ans. 35
3)In a fraction, if 1 is added to both the numerator at the denominator,
the fraction becomes 1/2. If numerator is subtracted from the
denominator, the fraction becomes 3/4. Find the fraction.Ans. 3/7
4) WHAT IS THE NUMBER OF ZEROS AT THE END OF THE PRODUCT OF THE NUMBERS
FROM 1 TO 100
5)9/10 or 10/11 which is greater.
6) (xy/3)(yx/3)=?
7)x:y=3 and x+y=80 what is the value of y? answer y=20 M(893,10)+r( )+t(
) is asked
9)n=68 x 12 x 51 Which of the follg is not an integer Ans n/122
10)M(373, 7) + R(6. –T(3.4) + R( 3.4)
11) SOME RELATION THAT IS DEDUCE TO
A (POW 2) DIRECT PROPORTIONAL TO X (POW 3)
B (POW 2) DIRECT PROPORTIONAL TO Y (POW 3)
SOME FOUR ANSWERS WERE GIVEN
ANS: ALL OF THE ABOVE
12)WHICH IS THE PERFECT ONE AMONG THE 4
1. 2x +3y=4 2. x + y= 1 3. Y=2x+ 3
13)A salesperson multiplied a number and get the answer 3, instead of
that number devided by 3. what is the answer he actually has to get?
1 x 3 = 3 so number = 1 divided by 3, the ans. is 1/3.
14)M(373,5)+R(3.4)+T(7.7)+R(5. Ans. 19
15) If the numerator of a fraction is increased by 25% and denominator
decreased by 20%, the new value is 5/4. What is the original value?
a) 3/5 b) 4/5 c) 7/8 d) 3/7
16)The value of ¾ + 5 / 36 + 7 / 144 + …….+17 / 5184 + 19 / 8100 is
a)0.99 b)0.98 c)0.95 d)None of these
17) A student's grade in a course is determined by 6 quizzes and one
examination. If the examination counts thrice as much as each of the
quizzes, what fraction of final grade is determined by the examination?
a)1/6 b)1/5 c)1/3 d)¼
1 When ¾ of a unit's digit is added to the ten's digit of a two number,
the sum of the digits becomes 10. If ¼ of the ten's digit added to the
unit's digit, then the sum of the digits is 1 less than the previous.
Find the number.
a)94 b)84 c)48 d)88
19) A person had to multiply two numbers. Instead of multiplying by 35,
he multiplied by 53and the product went up by 540. What was the raised
product?
a)780 b)1040 c)1590 d)1720
RECTANGULAR
1) WHICH IS NOT A SIDE OF A RECTANGULAR
1. (2,3,4) 2.(3,4,7) 3. (3,5,9)
2) 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? ANS:
3.5INCHES
3) If the length of a rectangle is increased by 30% and the width is
decreased by 20%, then the area is increased by...
(a) 10% (b) 5% (c) 4% (d) 20% (e) 25%
4) The length of a rectangle is increased by 60%. By what % would the
width have to be decreased to maintain the same area? a)30% b)60% c)75%
d)37.5%
RECURSION
1)G(0)= 1, G(1)=1, G(N)=G(N1)  G(N2), G(5)= ? ans  2
2)G (0) =1 G (1)= 1 IF G (N)=2* (G (N1))– 3(G (N2)) THEN WHAT IS THE
VALUE OF G (4)?
3)If f(0)=1 and f(n)= f(n1)*n, find the value of f(4). Ans: 24
4)If g(0)=g (1)=1 and g (n)= g (n1) + g (n –2) find g (6);
SERIES
1)Complete the series. 3, 8, , 24, , 48, 63 . ans 15, 35
2)Complete the series. 4, 5, 11, 14, 22,  Ans  27
3) SERIES: 2,7,24,77,? (238) or (240)
4)77,49,36,18,? answer 8 (7*7=49)(4*9=36)(3*6=1 (1*8=
5)series: 5 6 7 8 10 11 14 ?? ans.15 or 18
6)15 14 12 11 ?? 9 8 ans.10
7)What is the 12th term of the series 2, 5, 8, ....Ans. 35
8)58,27,12,x,2,1. Find x.
9)7,9,13,_,27,37. Ans19
10)2, 5, __ , 19, 37, 75 Ans: 9
11)Complete the sequence 9,10,11,13,15, __, 21,28.
SET
1)A, B and C are 8 bit nos. They are as follows:
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 ( (AB) u C )=? Hint : 109 AB is {A}  {A n B} ANS: 0 1 1 1 1 1 1
1 (DB)
2)If A, B and C are the mechanisms used separately to reduce the wastage
of fuel by 30%, 20% and 10%. What will be the fuel economy if they were
used combined. Ans 20%
3)  A  1  0  0  1  0  0  0  1 10010001
 B  0  1  1  0  1  0  1  0 01101010
 C  1  0  0  1  0  1  1  0 10010110
(AuB)nC = ? [ (A union B) intersection C = ?]
4) A 0 0 0 0 1 1 1 1
B 0 0 1 1 0 0 1 1
C 0 1 0 1 0 1 0 1
( A U B ) P C Find the fourth row, having the bit pattern as an integer
in an 8bit computer, and express the answer in its decimal value. Ans.
29
5) In the class of 40 students, 30 speak Hindi and 20 speak English.
What is the lowest possible number of students who speak both the
languages?
(a) 5 (b) 20 (c) 15 (d) 10 (e) 30
6)You will be given the bit position values for A, B and C and using the
relation (A?B) u C you have to construct the truth table. Then find the
corresponding decimal number and choose the right option.
7)If A=(110010) in base 2 & B=(101011) in base 2, then what is the
decimal value of (AB)C
SHADOW
1)A building with height D shadow upto G. A neighbour building with what
height shadows C feet.

A B C D E F G H
Sol: B Ft. or CD/G
SOLUTIONS
1) How many positive integer solutions does the equation 2x+3y = 100
have?
a)50 b)33 c)16 d)35
STANDARD DEVIATION
1)Which of the following set of numbers has the highest Standard
deviation?
a)1,0,1,0,1,0 b)1,1,1,1,1,1 c)1,1,1,1,1,1 d)1,1,0,1,0,1
2)WHICH WILL GIVE GOOD STANDARD DEVIATION
1. (7,0,7,0,7) 2. (7,7,7,7,7) 3. (1,0,1,0,1)
TANK
1)with 4/5 full tank vehicle travels 12 miles, with 1/3 full tank how
much distance travels ( 5 miles )
2)A car travels 12 kms with a 4/5th filled tank.How far will the car
travel with 1/3 filled tank? Ans. 5 kms
TEMPERATURE
1)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. (May be we can solve it by Definite Integration. Check any way}
Ans. At 9pm 7.5 more or 385.8(DB)
2)FOR TEMPERATURE A FUNCTION IS GIVEN ACCORDING TO TIME : ((t**2)/6) +
4t +12 WHAT IS THE TEMPERATURE RISE OR FALL BETWEEN 4.AM TO 9 AM
2)FOR TEMPERATURE A FUNCTION IS GIVEN ACCORDING TO TIME : ((t**2)/6) +
4t +12 WHAT IS THE TEMPERATURE RISE OR FALL BETWEEN
5 PM to 8 PM
3)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 tem. and highest temp. is
100 degrees. Then what is the low temp? (40 deg.)
TIME AND DISTANCE
1)A is driving on a highway when the police fines him for overspeeding
and exceeding the limit by 10 km/hr.At the same time B is fined for
overspeeding by twice the amount by which A exceeded the limit.If he was
driving at 35 km/hr what is the speed limit for the road?Ans. 15 kmph
Sol: Let ‘x’ be the speed limit
Person ‘A’ was fined for exceeding the speed limit by = 10mph
Person ‘B’ was fined for exceeding the speed limit by = twice of ‘A’ =
2*10mph=20mph
given that the second person was traveling at the speed of 35mph
=> 35mph – 20mph = 15mph
2)A car travels 12 kms with a 4/5th filled tank.How far will the car
travel with 1/3 filled tank?Ans. 5 kms
3) falling height is proportional to square of the time. one object
falls 64cm in 2sec than in 6sec from how much height the object will
fall.576
4)A car has run 10000 miles using 5 tyres interchangably,To have a equal
wornout by all tyres how many miles each tyre should have run. answer
4000 miles/tyre
5)A person, who decided to go to weekened trip should not exceed 8 hours
driving in a day. Average speed of forward journey is 40 m/h. Due to
traffic in sundays, the return journey average speed is 30 m/h. How far
he can select a picnic spot?
a) 120 miles b) between 120 and 140 miles c) 160 miles ans: 120 miles
6)A ship started from port and moving with I miles per hour and another
ship started from L and moving with H miles per hour. At which place
these two ships meet?

port G H I J K L
A bus started from bustand at 8.00am, and after 30 minutes staying at
destination, it returned back to the busstand. The destination is 27
miles from the busstand. The speed of the bus is 18mph. In return
journey bus travels with 50% fast speed. At what time it returns to the
busstand? (11.00am).
9) wind flows 160 miles in 330 min, for 80 miles how much time
required.165
10)A storm will move with a velocity of towards the centre in hours,At
the same rate how much far will it move in hrs.( but the answer is 8/3
or 2 2/3 )
11)If A is traveling at 72 km per hour on a highway. B is traveling at a
speed of 25 meters per second on a highway. What is the difference in
their speeds in meters per second?
(a) 1/2 m/sec (b) 1 m/sec (c) 1 1/2 m/sec (d) 2 m/sec (e) 3 m/sec
12)A traveler walks a certain distance. Had he gone half a kilometer an
hour faster \, he would have walked it in 4/5 of the time, and had he
gone half a Kilometer an hour slower, he would have walked 2 ½ hr
longer. What is the distance
a)10 Km b)15 Km c)20 Km d)Data Insufficient
13) A ship leaves on a long voyage. When it is 18 miles from the shore,
a seaplane, whose speed is 10 times that of the ship is sent to deliver
mail. How far from the shore does the seaplane catch upo with the ship?
a)24 miles b)25 miles c)22 miles d)20 miles
14) In a circular race track of length 100 m, three persons A, B and C
start together. A and B start in the same direction at speeds of 10 m/s
and 8 m/s respectively. While C runs in the opposite at 15 m/s. When
will all the three meet for the first time on the after the start?
a)after 4s b)after 50s c)after 100s d)after 200s
15) If the distance traveled (s) in time (t) by a partile is given by
the formula s = 1+ 2t+3t2+4t3 , then what is the distance travelled in
the 4th second of its motion?
a)141m b)171m c)243 m d)313 m
16) A non stop bus to Amritsar overtakes an auto also moving towards
Amritsar at 10 am. The bus reaches Amritsar at 12.30 pm and starts on
the return journey after 1 hr. On the way back it meets the auto at 2
pm. At what time the auto will reach Amritsar?
a) 2.30pm b)3.00pm c)3.15pm d)3.30pm
TIME AND WORK
1)A is twice efficient than B. A and B can both work together to
complete a work in 7 days. Then find in how many days A alone can
complete the work? 10.5 (11)
2)A finish the work in 10 days. B is 60% efficient than A. So how days
does B take to finish the work? Ans 100/6 (4 days)
3) A finishes the work in 10 days & B in 8 days individually. If A works
for only 6 days then how many days should B work to complete A's work?
Ans 3.2 days (4 days)
4)A man, a woman, and a child can do a piece of work in 6 days. Man only
can do it in 24 days. Woman can do it in 16 days and in how many days
child can do the same work? Ans 16
5)If 20 men take 15 days to to complete a job, in how many days can 25
men finish that work?Ans. 12 days
6) one fast typist type some matter in 2hr and another slow typist type
the same matter in 3hr. if both do combinely in how much time they will
finish. ans: 1hr 12min
7)A man shapes 3 cardboards in 50 minutes,how many cardboards does he
shape in 5 hours?answer 18cardboards.
A work is done by two people in 24 min. one of them can do this work a
lonely in 40 min. how much time required to do the same work for the
second person.
Sol:(A+B) can do the work in = 1/24 min.
A alone can do the same work in = 1/40 min.
B alone can do the same work in = (A+B)’s – A’s = 1/24 – 1/40 = 1/60
Therefore, b can do the same work in = 60 min
9)A can do a piece of work in 20 days, which B can do in 12 days. In 9
days B does ¾ of the work. How many days will A take to finish the
remaining work?
10)Anand finishes a work in 7 days, Bittu finishes the same job in 8
days and Chandu in 6 days. They take turns to finish the work. Anand on
the first day, Bittu on the second and Chandu on the third day and then
Anand again and so on. On which day will the work get over? a)3rd b)6th
c)9th d)7th
11) 3 men finish painting a wall in 8 days. Four boys do the same job in
7 days. In how many days will 2 men and 2 boys working together paint
two such walls of the same size? a) 6 6/13 days b)3 3/13 days c)9 2/5
days d) 12 12/13 days
12)The size of the bucket is N kb. The bucket fills at the rate of 0.1
kb per millisecond. A programmer sends a program to receiver. There it
waits for 10 milliseconds. And response will be back to programmer in 20
milliseconds. How much time the program takes to get a response back to
the programmer, after it is sent?ans 30 milliseconds
TRAINS
1)TWO STATIONS A & B ARE 110 KM APART. ONE TRAIN STARTS FROM A AT 7
AM, AND TRAVELS TOWARDS B AT 20KMPH. ANOTHER TRAIN STARTS FROM B AT 8 AM
AND TRAVELS TOWARDS A AT 25KMPH. AT WHAT TIME WILL THEY MEET?
A. 9 AM B. 10 AM C. 11 AM D. 10.30 AM
TREE
1) 900 M WIDE 3000 M WIDTH SOMETHING I CAN’T REMEMBER SOME VALUES ARE
GIVEN BY AIR PER M Rs. 4 BY GROUND PER M Rs. 5
THEN WHERE U WILL CUT
2)Two trees are there. one grows at 3/5 of the other in 4 years, total
growth of trees is 8 ft. what growth will smaller tree will have in 2
years ( < 2 ft. ) ie 1 ½ feet
TRIANGLES
1) Given the length of the 3 sides of a triangle. Find the one that is
impossible? (HINT : sum of smaller 2 sides is greater than the other one
which is larger)
2)3 angles or 3 sides r given.Which will form a triangle?
UNITS
1)(Momentum*Velocity)/(Acceleration * distance ) find units. ans mass
2)(energy * time * time )/(mass * dist) = distance
3)(momentum * velocity)/(force * time) = velocity
4)Find the physical quantity in units from the equation:
(Force*Distance)/(Velocity*Velocity) Ans. Ns2/m
5)Find the physical quantity represented by MOMENTUM *VELOCITY] /
[LENGTH * ACCELERATION]?
VENN DIAGRAM
1)Venn Diagram kinda ques.Some know English, some French,some
German……how many know two languages…..
2)VENN DIAGROM below
1. HOW MANY PERSON KNOW ENGLISH MORE THAN FRENCH
2. HOW MUCH % OF PEOPLE KNOWS ALL THE 3 LANGUAGES
3. HOW MUCH % OF PEOPLE THOSE WHO KNOWS FRENCH AND GERMAN AND NOT
ENGLISH
FRENCH
3)Consider the following diagram for answering the following questions:
A. Find the difference between people playing cricket and tennis alone.
Ans: 4
B. Find the percentage of people playing hockey to that playing both
hockey and cricket.
C. Find the percentage of people playing all the games to the total
number of players. Ans: 6%
4)1. How many more or less speak English than French?
2. What % people speak all the three languages?
3. What % people speak German but not English?
WEIGHTS
1)There are 150 weights .Some are 1 kg weights and some are 2 kg
weights. The sum of the weights is 260.What is the number of 1kg
weights?Ans. 40
2)A truck contains 150 small packages, some weighing 1 kg each and some
weighing 2 kg each. how many packages weighing 2 kg each are in the
truck if the total weight of all the packages is 264 kg?
(a) 36 (b) 52 (c) 88 (d) 124 (e) 114
3.CRITICAL REASONING
In dis section u will b given 3 qstns 2 b ans in 30 min.every critical
reason qst hac 5 qstns 5*3=15m
B cool here. 4 dis section prepare d analytical reasoning section 4m GRE
BARRONS MODEL PAPERS(12th or 13th or 11th edi)u will definitely get
atlest 2 qstn 4m dis model papers so prepare dem
Frens prepare model papers well.(gre barrons) if u know all d qstns don
answer all of dem bcoz u hav upper cutoff.b careful.ALL THE BEST
After u clear online test ull hav a tech interview.
I being a instrumentation student I said 8085,8086 my fav subject but
dey coverd all d subjects
Ull b askd 2 write ur 1st year 21 ,22, 31subject names . so remember
d subjects semester wise. Am asked 2 write my 32 subjects n my frens
were askd 2 write d oder sem subs also.if u r askd 2 say wat topics u
hav in a sub say only d topics ur familiar wid.
don get stuck.dey don expect u 2 answer all d qstns answer atleast1 or 2
wid confidence
see 2 dat while answering qstns u r not worried BE CONFIDENT N ONLY DEN
U CAN GET THROUGH deyll see ur confidence level
prepare d qstn tell me abt urself well.dis is d most common
qstn.Highlight ur achievements know ur position in d class dey ask dis
one also prepare atleast 1 weakness 2 say 2 dem weakness u said shudnot
seem like a weakness 4 dem or atleasy say sum measure u adopt 2 overcome
ue weakness ok.atleast say I hobby n be sure dat u know sum information
regarding dat hobby deyll test u n b smart in saying ur hobby.for
example reading buks is ur hobby .
While going 2 a tech interview also better u prepare 4 hr intrview also
sumtimes dey may ask hr qstns in tech interview also.if ur % is falling
4m semester 2 sem u shud b able 2 explain d reason 4 it.prepare 4 dis b4
hand perfectly
SO lastly d thing u hav 2 do b4 going 2 an interview is
1.prepare 4 tell me abt ur self qstn
2.remember all d subs semester wise
3.brush up ur basics in every subject,remember some imp defs n formulae
4.know abt d company (listen d preplacement talk keenly n write imp
points )
5.give ur answers confidently n wid a smooth voice
n ull b through
I m happi that I m a part of Tata group..
ALL THE BEST GUYS
Rohini & Rahul 
