
Contains 3 sections
1) Verbal (Synonyms  Antonyms  Comprehension
Passages)
2) Quantitative Aptitude
3) Critical Reasoning
SECTION1(Verbal 30 questions  20 min)
? Synonyms (Refer In GRE BARRONS 12th Edition )
? Antonyms (Refer In GRE BARRONS 12th Edition (page no
126))
? Passage completion
Some of the previous questions in quant .Go through
these models and try to solve them. They will give
same models but they change the data.
SECTION: 2(QUANT 38 questions  40 min )
1) If log 0.317=0.3332 and log
0.318=0.3364 then find log 0.319 =
Sol: Given log 0.317=0.3332 and log 0.318=0.3364
Then
Log 0.319=log0.318+ (log0.318log0.317)
=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: Given x= 2 kg Packs
y= 1 kg packs
=> x + y = 150 .......... Eqn 1
=> 2x + y = 264 .......... Eqn 2
On solving these two equations
x = 114
By using equation 1
114 + y = 150
=> y = 36
=>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?
a) 6:00 am b) 6:40am c) 7:40 d) 7:00 e) 8:00
Sol: (Hint: Every 1 deg longitude is equal to 4
minutes. If west to east add time else subtract time)
Ans: 8:00
4) A Flight takes off at 2 A.M
from northeast direction and travels for 11 hours to
reach the destination, which is in northwest
direction. Given the latitude and longitude of source
and destination. Find the local time of destination
when the flight reaches there?
Ans: 7 AM (or) 1 PM
5) 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
6) Aeroplane is flying at a
particular angle and latitude, after some time
latitude is given. (8 hrs later), u r asked to find
the local time of the place.
7) An Aeroplane starts from A
(SOME LATITUDE IS GIVEN ACCORDING TO PLACE).At 2 AM
local time to B (SOME LATITUDE). Traveling time is 10
Hours. What is the local time of B when it reaches B?
8) 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 longitude we
need to add both
Ie, 40+40=80
Multiply the ans by 4
=>80*4=320min
Convert this min to hours i.e., 5hrs 33min
It takes 8hrs totally. So 85hr 30 min=2hr 30min
So the ans is 10am+2hr 30 min
Ans: 12:30 it will reach
9) 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?
Sol: The time 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
Ans: 30ms
10) A file is transferred from
one location to another in ,buckets,. The size of the
bucket is 10 kilobytes. Eh 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.
Ans: (n/1000)*(n/10)*10+ (n/100).... (Not 100% sure)
11)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.
Sol:
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
1010/5=2days.
4*9=36
7*1=7
2*5=10
36+7+10=53...
Ans: 4 good, 1 fair, 2bad. ==== total 7 days.
12) x+y+z=7 eq1
9*x+7*y+5*z=53 eq2
Sol:
Multiply eq 1 by 9,
9*x+9*y+9*z=35 eq3
From eq2 and eq3
2*y+4*z=10eq4
Since all x, y and z are integer i should put a
integer value of y such that z sud be integer in eq
4.....And there 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
Ans:(x,y,z)=(4,1,2) and (3,3,1)...
13) 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.
Given r+p=42
Then p=7, r=35
14) Three companies are working
independently and receiving the savings 20%, 30%, 40%.
If the companies work combine, what will be their net
savings?
Sol: Suppose total income is 100
So amount x is getting is 80
y is 70
z =60
Total=210
But total money is 300
300210=90
So they are getting 90 rs less
90 is 30% of 300 so they r getting 30% discount
15) 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
3x4y=1/4(3x)
12x16y=3x
9x=16y
y=9x/16
(3x4(9x/16))/ ((4x5(9x/16)))
Ans: 12/19
16)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
17) 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?
ANS: 13
18) 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?
ANS: 10.5 (11)
19) 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)
20) 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)
21) 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
22) If 20 men take 15 days to
complete a job, in how many days can 25 men finish
that work?
Ans. 12 days
23) One fast typist type some
matter in 2hr and another slow typist type the same
matter in 3hr. if both do combine in how much time
they will finish.
Ans: 1hr 12min
24) A man shapes 3 cardboards in
50 minutes, how many types of cardboard does he shape
in 5 hours?
Ans: 18cardboards
25) 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
=> B can do the same work in = 60 min
Ans: 60 min
26) 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?
27) 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
28) 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
29) 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) =?
Sol: We have to find (AC) U B
To find AC, We will find 2,s compliment of C and them
add it with A,
That will give us (AC)
2,s compliment of C=1,s compliment of C+1
=11000101+1=11000110
AC=11000101+11000110
=10001001
Now (AC) U B is .OR. Logic operation on (AC) and B
10001001 .OR. 00110011
The answer is = 10111011,
Whose decimal equivalent is 187.
30) A = 10010001
B = 01101010
C = 10010110
(AuB)nC =? [(A union B) intersection C =?]
31) 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 ) n 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
32) 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)
33) 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%
34) 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
35) 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).
Sol: [HINT~ Formula=Base Add + Byte reqd {N (i1) +
(j1)}
Where,
Base Add=3000;
Byte reqd=4;
N=no of columns in array=7;
i=8; j=5;
IN ROW MAJOR ORDER]
Ans: 3212
36) 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 
Ans: 1279
37) 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]?
Ans: 3106
38) 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)
Ans: 555
39) 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: 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)
Ans: 0. 5 %( =SQRT 101N)
40) A bus started from bus stand
at 8.00a m and after 30 min staying at destination, it
returned back to the bus stand. The destination is 27
miles from the bus stand. The speed of the bus 50
percent fast speed. At what time it retur4ns to the
bus stand.
Sol: (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 returning=18+9=27
Then in return it take 27/27=1 hour
Then total time in journey=1+1:30+00:30 =3 hour
So it will come at 8+3 hour=11 a.m.
So Ans==11 a.m
41) 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?
Ans: 7 AM or 1.00 PM
42) 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
43) 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
44) 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.
45) 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 9 pm 7.5 more or 385.8 (DB)
46) 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
Sol: In equation first put t=9,
We will get 34.5........................... (1)
Now put t=4,
We will get 27.............................. (2)
So Ans=34.527
=7.5
47) 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
48) 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?
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
Ans :( 40 deg.)
49) 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
Sol: x*53x*35=540=> x=30 therefore, 53*30=1590
Ans: 1590
50) How many positive integer
solutions does the equation 2x+3y = 100 have?
a) 50
b) 33
c) 16
d) 35
Sol: 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)
51) The total expense of a
boarding house is 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, 30001750 = 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 = 300050*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
52) 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 erasers =
1.5*x rupees
So (106) = 4 pens = (21.5) 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 by
Amal) i.e. 5/8 = 500/8% = 62.5%
Ans: 62.5%
53) 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 = 686
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
Ans: 41 Rs
54) 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
Ans: 6 hrs
55) (1 1/6) (11/7).... (1 (1/
(n+4))) (1(1/ (n+5))) = ?
Sol: Leaving the first numerator and last denominator,
all the numerator and denominator will cancelled out
one another.
Ans: 5/ (n+5)
56) 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
Sol: The chances are
When n=3
(i) nC1= 3C1 =3 for 10 boxes.. 10*3=30
(ii) nC1=10C1=10 for 10 boxes ....10*10=100
(iii) nC1=9C1=9 for 10 boxes.....10*9=90
57) 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
Ans: 5 miles
58) Wind flows 160 miles in
330min.for 80 miles how much time required
160 miles?
Sol: 1 mile = 330/160
80 miles= (330*80)/160=165 min.
Ans: 165 min.
59) 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 traveling at a speed
of 35 mph. find the speed limit
Sol :( x+10) =(x+35)/2
Solving the eqn we get x=15
Ans: 15
60) 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
Ans: 1/3
61) 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
62) 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.
Ans: Between 120 and 140 miles
63) 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 fuel consumed in coming up is x.
Thus equation is: x+1.25x=4.5
Ans: 2gallons
64) 40% employees are male if
60% of supervisors are male so for 100% is 26.4%so the
probability is ......
Ans: 0.264
65) 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
Sol: first 50 ings. run= 50*50=2500
51st ings.  Avg 51. So total run =51*51=2601.
So run scored in that ings=26012500=101 runs.
Ans: 101 runs
66) 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
67) Average of 5 numbers is 10
sum of 3 numbers is 16, what is the average of other
two numbers?
Ans: 33
68) 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%
69) In 80 coins one coin is
counterfeit what is minimum number of weighing to find
out counterfeit coin
Sol: the minimum number of weightings needed is just
5.as shown below
(1) 80>3030
(2) 1515
(3) 77
(4) 33
(5) 11
Ans: 5.
70) 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?
Sol: 2x+3y+4z=15
3x+2y+z=10
Adding
5x+5y+5z=25
x+y+z=5 that is for 1 orange, 1 banana and 1 apple
requires 5Rs.
So for 3 orange, 3 bananas and 3 apples require 15Rs.
i.e. 3x+3y+3z=15
Ans: 15
71) In 8*8 chess board what is
the total number of squares refers 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. =204
Also in 3*3 tic tac toe board what is the total no of
squares
Ans: 14 i.e. 9+4(bigger ones) +1 (biggest one)
If you get 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
72) One fast typist type some
matter in 2hr and another slow typist type the same
matter in 3hr. If both do combine in how much time
they will finish.
Sol: Faster one can do 1/2 of work in one hour slower
one can do 1/3 of work in one hour both they do
(1/2+1/3=5/6) the work in one hour. So work will b
finished in 6/5=1.2 hour
i e 1 hour 12 min.
Ans: 1 hour 12 min.
73)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?
Sol: Find 42 % of 20 rs with respect to 70 (i.e. 28 +
42)
==> (42 * 20)/70 ==> 12 Rs
Ans: 12 Rs
74) 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 matches
(Explanation: 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 determine
the second finalist from the remaining 138 players
(excluding the 1st player)
Therefore to determine the winner 138 matches should
be played.)
75) 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
Ans: 3.5
76) 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?
Ans: 3 ft 7.5 inches
77) 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)
78) 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?
Sol :( let x b pencil, y b pen and z b eraser... u get
x+2y+4z=22 and 5x+4y+2z=32 add 6x+6y+6z=54 div by 2
you get 27)
Ans: 27
79) A man has to get airmail.
He starts to go to airport on his motorbike. Plane
comes early and the mail is sent by a horsecart. 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?
Sol: 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 journey. 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 traveled a time of 10 min before it met him. So
the plane is 10 min early.
Ans: 10 min
80) 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?
81) 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
4 (x+ (3/5) x) =88x/5=2x=5/4
After 2 years x= (3/5)*(5/4)*2 =1.5 (less than 2 feet)
82) 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)
Third Two digit xx*9=333
xx=333/9=37
(First two digits of 3 is not divisible by 9 so we can
use 333)
83) There are 4 balls and 4
boxes of colors yellow, pink, red and green. Red ball
is in a box whose color is same as that of the ball in
a yellow box. Red box has green ball. In which box you
find the yellow ball?
Sol: Yellow box can have either of pink/yellow balls.
if we put a yellow ball in "yellow" box then it would
imply that "yellow" is also the color of the box which
has the red ball(because according 2 d question,d box
of the red ball n the ball in the yellow box have same
color)
Thus this possibility is ruled out...
Therefore the ball in yellow box must be pink, hence
the color of box contain in red ball is also pink....
=>the box color left out is "green", which is allotted
to the only box left, the one which has yellow ball.
Ans: green
84) 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.
Sol: suppose he picks 5 balls of all different colors
then when he picks up the sixth one, it must match any
on of the previously drawn ball color. Thus he must
pick 6 balls
Ans: he should pick 6 balls totally.
85) 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 place 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
86) 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 initially
8x+ 12: 9x  19 = 5x: 9x
8x+12 = 5x
> x = 4
9x = 36 (NOT SURE ABOUT THE ANSWER)
87) 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
Sol: AB = 3
Bc = 5
Ac = 8 so sum of diff = 8+3+5 = 16 kgs
88) 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 at least one shot and even by adding their
total score together, they fall short of the
qualifying mark, what is the qualifying mark?
Sol: Because each had at least 1 shot done so 10 + 1 =
11
And 9 + 2 = 11
So the ans is 11
89) 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
90) 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 square
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.
91) 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
92) Jalia is twice older than
qurban. If jalia was 4 years younger, qurban was 3
years older their diff. between their ages is 12 years
what is the sum of their ages
a) 67 b) 57 c) 36 d) none
Ans: b
93) 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
94) 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
95) 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
In d 1st day Anand does 1/7th of total work
Similarly,
Bithu does 1/8th work in d 2nd day
Hence at the end of 3 days, work done =
1/7+1/8+1/6=73/168
Remaining work = (16873)/168 = 95/168
Again after 6 days of work, remaining work is =
(9573)/168 = 22/168
And hence Anand completes the work on 7th day.
Ans is d) 7th day
96) If TAFJHH is coded as RBEKGI
then RBDJK can be coded as 
Ans: qcckj
97) BFGE CODED AS CEHD THEN CODE
PVHDJ
Ans: QUICK
98) Find the no. of Y,s followed
by W but that is not followed by Z.
Y W R U D D Y W Z ...............
99) If VXUPLVH is written as
SURMISE, what is SHDVD ?
Ans. PEASA
(Hint: in the first word, the alphabets of the jumbled
one are three alphabets after the corresponding
alphabet in the word SURMISE. S = V3, similarly find
the one for SHDVD)
100) 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)
101) 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
102) If D_MUQZM is coded as
CENTRAL then RBDJK can be coded as
103) In a certain format TUBUJPO
is coded as STATION. The code of which string is
FILTER?
104) What is the code formed by
reversing the First and second letters, the third and
fourth letters and so on of the string SIMULTANEOUSLY?
105) In the word ORGANISATIONAL,
by reversing if the first and second the third and
fourth letters and so on of the string?
106) 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)
107) 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
108) A shopkeeper bought a watch
for Rs.400 and sold it for Rs.500.What is his profit
percentage?
Ans. 25%
109) What percent of 60 is 12?
Ans. 20%
110) 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
realizes 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 room boy and gives
him $5 asking him to return. The room boy keeps $2
with him and he returns only $3($1 for each).Now
Totally all have paid $9 each($27)+room boy $2 which
is equal to $27.where did $1 go, who has made the
mistake?
111) Two pencils cost 8 cents.
Then 5 pencils cost?
Ans :( 20 cents)
112)Which is more economical of
the following
a)2kg  30/ b)8kg  160/ c)5kg  80/
113)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
114) 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
115) 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
116) 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
117) 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
118) 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
119) Match the following
1) 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
Ans. 1b, 2a, 3d, 4c
120) What is the largest prime
number stored in a
> 6 bit pattern (ANS~2^6=64, so no is 61)
> 7 bit pattern (ANS~2^7=128, so no is 127)
> 8 bit pattern (ANS~2^8=256, so no is 251)
>9 bit pattern (ANS~2^9=512, so no is 503)
121) What is the max 3 digit
Prime no?
ANS=997
122) G(0)= 1, G(1)=1, G(N)=G(N1)  G(N2), G(5)= ?
Ans  2
123) G (0) =1 G (1) = 1 IF G (N) =2* (G (N1))  3(G
(N2)) Then what is the value of
G (4)?
124) If f (0) =1 and f (n) = f (n1)*n, find the value
of f (4).
Ans: 24
125) If g (0) =g (1) =1 and g (n) = g (n1) + g (n 2)
find g (6);
126) What is the power of 2? a. 2068 b.2048 c.2668
Ans: 2048
127) 8 to the power of x is 32, what is the value of
x?
128) Power of 4 Ans4096
129) Which one will be the exact
power of 3?
(i) 2768 (ii) 2678 (iii) 2187
130) Complete the series
a )3,8,a,24,b,48,63 [ ANS~ a=15, b=35 ]
[HINT~DIFFERENCE IS 5, 7, 9, 11, 13, 15]
B )26,19,17,13,11, ,8,7 [ ANS=9]
[HINT~26,17,11,8 DECREASING LIKE 9,6,3 & 19,13,9,7
DECREASING
LIKE 6, 4, 2]
c)9,10,11,13,15, ,21,28 [ ANS=19 ]
[HINT~9, 11, 15, and 21 INCREASING LIKE 2, 4, 6 &
10,13,19,28 INCRESING
LIKE 3, 6, and 9]
D) 4, 5, 11, 14, 22,  [ ANS= 27]
131) Number of faces, vertices
and edges of a cube
ANS: 6,8,12
132) Find the value of
a) @@+25++@16, where @ denotes"square" & + denotes
"square root". [ANS=621]
b) $%$6%$%6, where $ means "tripling" & % means
"change of sign". [ANS= 72]
c) % # % 6 + # %# 6, % means "doubling" & # mean
"reciprocal".
132) Select odd one 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 Ans:sap
5)1.linux 2.windows NT 3.sql server 4.Unix Ans: Sql
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
133) Find the singularity matrix from a given set of
matrices? (Hint det (A) ====0)
134) Which of the following are orthogonal pairs?
a. 3i+2j b. i+j c. 2i3j d. 7i+j
Ans: a, c
135) (a) 2+3i (b) 1+i (c) 32i (d) 17i .Find which of
the above is orthogonal.
Ans: a, c
136) 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?
137) If Rs.1260 is divided between A, B and C in the
ratio 2:3:4, what is C,s share?
Ans: Rs. 560
138)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
139) Complete the series.
1) 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,? Ans: 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.
140) 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]?
141) Find the result of the following _expression if,
M denotes modulus operation, R denotes roundoff, T
denotes truncation:
M (373, 5) +R (3.4) +T (7.7) +R (5.8)
ANS: 19
142) Which of the following highest Standard deviation
a) 7,  7, 7,7, 7,7 b) 7, 7, 7,7,7,7 c) 7,  7,
7,7,7,7 d) 7, 7, 7, 7,7, 7
Ans: d
143) 232 expressed in base5 is Ans: 1412
144) A building with height D shadow up to G. A
neighbor building with what height shadows C feet.

A B C D E F G H
Sol: B Ft. or CD/G
145) 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
146) 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
147) 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
Section3 :( Critical Reasoning 12 questions  30
min)
Refer GRE BARRONS text book 12th Edition model papers.
Model paper 1: Sec  5 , Sec 6
Model paper 2: Sec 1 , Sec6
Model paper 3: Sec 5 , Sec 6
Model paper 4: Sec 5 , Sec6
Model paper 5: Sec 3 , Sec7
(Try to Mug up those sections .They will give
definitely from those model papers only)

Technical Interview:
(Be prepare with 2 core subjects (basics) of u r
Branch)
(Be prepare with basics of C and DS and some basic
programs)
Basic C programs:
? Prime Number
? Sorting Techniques
? Searching techniques
? Factorial using recursion
? Fibonacci series using recursion
? Reverse the string
? Palindrome
? Armstrong no
? Strong no
? Data structures concept
? Linked list concept
? Stack, queue Algorithms

Managerial Round:
? Ask to solve any managerial problem regarding
Time management, Leadership qualities
? Tell about u r self
? Tell anything without interruption for 5 minutes (so
be preparing in advance regarding group leader
qualities and so on ......)
HR Interview:
? Tell about your self(This include ur name , ur
place, ur SSC school name with % , Intermediate
college name with %, u r father ,mother, brother
occupations no need to tell their names, u r role
model, ur hobbies, strengths, Area of interest, and u
r achievements)
? Why TCS
? Tell about your strengths
? Tell about u r weakness
? Tell about u r hobbies
And so on ......
(Be confident with smiling face)
(If you fail to prepare then prepare to fail)
ALL THE BEST I WISH YOU HAVE A BRIGHT FUTURE
BY
AnushaTC


