Friday, 19 October 2012

In Loonyville, four people called Doctor, Engineer, Lawyer and Architec sum ans:


In Loonyville, four people called Doctor, Engineer, Lawyer and
Architect follow the professions of doctor, lawyer, engineer and
architect. However, none of them follow the profession indicated by
their name.
Doctor plays bridge very regularly, as he thinks it as an intellectual
card game. Doctor is allergic to sea food, and does not eat it at all.
Architect nearly died in a car accident two years ago. The architect is
very poor at card games and does not play them at all. The engineer
loves fish and has it twice a week. The engineer is a good driver, and
has never been involved in a car accident. Engineer does not like the
Lawyer’s habit of constantly interrupting others.
What is the profession of Engineer?
Options
o a lawyer
o an architect
o a doctor
o Cannot be determined
In the table and the clues in the questions, names begin with Capital letter whereas professions begin with lower-case letter



NAMES


Doctor
Engineer
Lawyer
Architect
Professions
doctor
x



lawyer


x

engineer
Not possible because Doctor allergic to sea food; engineer loves fish
x

Not possible because Architect met with car accident; engineer never been in car accident
architect
Not possible because Doctor good at Bridge; architect poor at card game


x


Based on above, we can easily deduce (IN ORDER)
1. Doctor is lawyer. (First column has only one cell vacant)
2. Lawyer is engineer (Third row has only one cell vacant)
3. Architect has to be doctor (after the above conclusions, only one cell vacant in fourth coloumn)
4. Thus, Engineer is a acrchitect
i hope this is the ans frdzzzz :-)

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CALENDER:


CALENDER:
Points to be remember :
Year= 365
Leap year= 366 which is divided by 4
For century year eg:2000, 100,200 year means we should divide both by 4 & 40 (then only we can say it as leap year
No of odd days present in a months
jan -3odd days
feb- 0odd day (for non leap year) & 1 odd day ( leap years)
mar- 3
apri – 2
may-3
jun-2
july-3
aug-3
sept-2
oct-3
nov-2
dec-3
 Ø  Ordinary year has 1 odd day
 Ø  Leap year has 2 odd days
 Ø  For 100 years 5 odd days will their : because 100/4= 24 leap year & 100-24=76 ordinary year . inorder to find the odd days we have to multiply the leap years *2=48+76(ord year)=124 will come now divide this 124/7= u will get rem as 5 ie is odd day present in a year
 Ø  Similarly for 200year= 3 odd days
 Ø  300years=1 odd days
 Ø  400 year = 0 odd days
 Ø  Similar order will continue( so its better to memorize this odd days for 1st 400 years)  
 Ø  For  every  400 century  year is called as leap year ie400,800,1200.....
s__________________________________________________________________________________
Now example:

1)    Find out which day is 23/9/2012?

                 Solution:
Split 2012 = 2000 + 11 (for 2012 we have to put it as 11 only) rule ( always split the year into multiple of 4 or 400  because u can directly substitute the value as 0 odd days
For 2000=0 odd days we know that already
Now for 11 : with in 11 years we knw 2 leap year and 9 ordinary year will come
Multiply the leap year into 2
Soè  11+ (2*2)+ {date (upto 9 th month calculate odd days 3(for jan)+1(since2012 leap year)+3+23+3+2+3+3+(23 given date of month/7)== 22/7=1 as rem}
11+4+1=14
14/7=0 rem(ans)
0-sun
1-mon
2- Tuesday
3- wed
4- Thursday
5- fri
6- sat
So 23/9/2012 is Sunday
_________________________________________________________________________________
2.which day is 25/3/1992?
Sol: 1600+391+25th mar
We know that for 1600 (0 odd days)
We can also split 391 as =300+91
For 300th century( mentioned above) we know as 1
So è 0+1+91+25mar
91/4= 22(quo)à leap year(22*2)
91-22= 69à ordinary year
Soè 0+1+44+69+25th mar
25/7=4 rem
0+1+44+69+date{ upto mar calculate odd day 3+1(since 92 leap year)+(25/7è4)}
0+1+44+69+{3+1+4}
0+1+44+69+8=122/7=3 rem
0 mean sun
1 – mon
2- tue
3 – wed (ans)
_________________________________________________________________________________Model 2:

25/3/1992=> wed
Find 24/3/2012=>????
Sol:
For 93( 1 odd day since it is ordinary year)
Lly
94(1)+95(1)+96(2 since it is leap year)+97(1)+98(1)+99(1)+2000(2)+1+1+1+2+1+1+1+2+1+1+1+2=25/7è 4 rem
Now we have take 0 as the day given in the question ie 0-wed 
            0-      Wed
            1-      Thr
            2-      Fri
            3  -      Sat
4-      Sun ( we calculate upto 25 th of mar 2012 but they asked for 24th so ans is Saturday  

_____________________________________________________________________________

Model- 3

1.       The calendar of the year  2007 will be same as ?
a)      2014  b)2016 c) 2012 d) 2018
To solve this kind of question we have to calculate upto the years given in the options
Year
2007
08
09
10
11
12
13
14
15
16
17
18
Odd day
1
2
1
1
1
2
1
1
1
2
1
1
Sum
1
3
4
5
6
8
9
10
11
13
14
15
  Option a) 2014 è Sum is 10 ( not a multiple of 7)
 Option b) 2016 -> sum is 13 not a multiple of 7
Option c ) 2017à sum is 14 multiple of 7 ( so next year of 2017 ie 2018 will be the ans for this question

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Thursday, 18 October 2012

open seesame test

frds before going to tcs written test  kindly take open seesame test in and go believe me frds it will be useful to u  all :-)
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Wednesday, 17 October 2012

TCS pre assessment test questions


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2) One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Rapunzel - Dwarf: Yesterday was one of those days when I lie. Byte: Yesterday was one of those days when I lie too. What day is it?
(a) Monday         (b) Sunday            (c) Thursday               (d) Saturday

3) A schoolyard contains only bicycles and 4 wheeled wagons. On Tuesday, the total number of wheels in the schoolyard was 166. What could the possible number of bicycles?
(a) 14           (b) 10                 (c) 12                        (d) 11
4)  Alok is attending a workshop "How to do more with less" and today's theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fewer digits. The problem posed at the end of the workshop is How many 5 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4?Can you help Alok find the answer?
(a) 375     (b) 625        (c) 500         (d) 3125
5) 21 people meet and shake hands. The maximum number of handshakes possible if there is to be no ‘cycle’ of handshakes is (A cycle of handshakes is a sequence of people a1, a2, … ,aK such that the pairs (a1, a2), (a2, a3), … , (a (k-1), a k) , (ak, a1) shake hands.
(a) 17             (b) 18              (c) 19                      (d) 20
6) The ticket to Disneyland will cost anywhere from 1p to 63p. You need to produce the exact change as the ticket counter and have with you a 63p coin. So you decide to break this into change but you want to carry with you as few coins as possible. Assuming that coins of all denominations are available, how many coins (denominations) would you split the 63p into?
  (a) 33         (b) 63                 (c) 6                          (d) 64

7) Which Number Replaces The Question Mark?

8) Planet fourfi resides in 4 – dimensional space and thus the currency used by its residents are 3 – dimensional objects. The rupees notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.
•The diameter of the coins should be at least 64mm and not exceed 512mm
•Given a coin, the diameter of the next larger coin is at least 50% greater.
•The diameter of the coin must always be an integer.
You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?
(a) 5                (b) 8                       (c) 9           (d) 6
9)  A hare and tortoise a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after tortoise has covered 1/5 its distance and that leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?
(a)8                 (b) 37.80                  (c) 40            (d) 5
10)Solve the Sudoku

11) Anoop managed to draw 7 circles of equal radii with their centers on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.
(a)1:(2 + 7 √2) (b) 1:(4 + 7 √3) c) (2 + 7√ 2):1 (d) 1:(2 + 6√ 2)
12)

13) Lucy finds around 25 groups of stars that appear to her as constellations. She draws 7 patterns of the constellations in her notebook and notes down the number of stars in each of them. She counts 5 stars in first constellation and 15 on next. She counts a number the third time and forgets to note it down. The next four constellations she counts 51.53,159,161. Next day her father looks at the notebook and wants to know the number of stars in the third constellation. Lucy only remembers that number of starts counted in each of the constellation followed a pattern 5,15, x, 51, 53, 159, 161.
(a) 19             (b) 17               (c) 47         (d) 31
14) 6 persons standing in the queue for ROBERT movie, are wearing different color shirts. All of them belong to different age group, after two years their average age will be 43 and seventh person joined with them, hence the current average age has become 45. Find the age of seventh person?
(a) 67           (b) 69               (c) 72           (d) 74
15) X is 6 years younger to Y. X's father is a businessman who invested 10000/- at 8% rate of interest and obtained his amount after 10 years. Y's father is a job holder who invested around 20000 at 2% rate and obtained his amount after 20 years. Now Compounded both of them get around Rs. ABC .After 5 years the ratio of ages of X and Y is 1:2. Now X's father is 20 years older to Y and Y' father is 30 years more than X. After 20 years again X's mother asks X's father to purchase a LCD TV which costs around 45000/-. What is the age of X and Y together?
(a) 12       (b) 8               (c) 18                   (d) 6
16.If a pipe can fill the tank in 6 hrs but unfortunately there was a leak in the tank due to which  it took 30 more minutes .Now if the tank was full how much time will it take to get emptied through the leak?
  (a) 39 hrs (b) 78 hrs   (c) 72 hrs   d) 70 hrs
17.If Valentine’s day of 2005 was celebrated on a Monday. What day is Feb 14 ,2010 ?
   a)Monday              (b) Sunday (c) Tuesday   (d) Wednesday

18. It is the class with the seating arrangement in 4 rows and 8 columns. When the teacher says 'start' the girl who is sitting in first row and first column will say 1, then the next girl sitting behind her will say 4, the next girl sitting behind that girl will say 7, in a particular order each girl is telling a number, the following girls told 10, 13 next turn is yours what you will say?
  (a) 14 (b) 16 (c) 20 (d) 17
 19. A game is played between 2 players and one player is declared as winner. All the winners from first round, played in the second round. All the winners from second round played in third round and so on. If 8 rounds were played to declare only one player as winner, how many players played in first round?
  (a) 256   (b) 128   (c) 255   (d) 127
20 ) Determine the distance between the x-intercept and the z-intercept of the plane whose equation is 2x+9y-3z=18
        (a) 6.32 (b)10.82 (c)3.00 (d)5.00
21) Inspired by Fibonacci series, Sanket decided to create his own series which is 1,2,3,7,7,22,15,67,..... What number comes immediately before 63?
  (a) 31 (b) 61 (c) 57 (d) 202
22) A man looks at a painting and tells “Neither have I any brother nor any sister, but the person in the painting is my father’s son”. Then who is in the painting?
  (a) Father (b) Daughter (c) Son (d) Himself
 23) Three boys Bob, Pete and Oliver and two girls Samantha and Kristie are to be seated in a row. Samantha always sits to the left of Bob. No girl sits at the extreme positions and at the middle positions. Peter always sits at the extreme positions. Who sits to the right of Kristie?
       (a)Peter or Oliver (b) Bob (c) Peter (d)Oliver
24) A scientist was researching on animal behaviour in his lab. He was very interested in analyzing the behaviour of bear. For some reason he travelled 1 mile in the north direction & reached the North Pole. There he saw a bear and then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in 2 hrs. Then what colour is the bear?
  (a) White (b) black (c) brown (d) grey
25) A Person buys a horse for 15 pounds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?  
  (a) 20 pounds   (b) 15 pounds   (c) 25 pounds   (d) 10 pounds
26) If ‘a’ and ‘b’ are mixed in 3:5 ratio  and b, c are mixed in 8:5 ratio and if the final mixture is 35 litres. Find the amount of b in the mixture.
  (a) 15.73                          (b) 14.73                    (c) 15.24   (d) 14.24
27) The Mehta’s have decided to launch their perfumes and have narrowed down to five ingredients for the perfume: Lilac, Balsamic, Lemon, Woody and Mimosaic. The customer can order for specific variety of perfume. To make a perfume that is in demand the Mehta’s adhered to the following conditions: Lilac and Balsamic go together. Woody and Mimosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. All of the following combinations are possible to make a perfume except___.
  (a) Balsamic and Lilac                                (c) Mimosaic and Woody
 (b) Woody and Lemon                                (d) Mimosaic and Lilac
28) Mr Behera wants to build a house for his wife. In his dream house there are 5 rooms each having equal area. The length of each room is 4 m, breadth is 5 m and the height is 2m. For every single unit of area, he requires 17 bricks, how many bricks are required to make the floor of a particular room?
  (a) 340   (b) 420   (c) 280   (d) 400
29) In a family there are some boys and girls. All boys told that they are having equal number of brothers and sisters and girls told that they are having twice the number of brothers than sisters. How many boys and girls are present in a family?
  (a) 5 boys & 3 girls   (b) 7 boys & 2 girls
(c) 4 boys & 3 girls   (d) 6 boys & 2 girls
30) On planet Korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d= 4*v (t-9) for t = 9 , where d represents the diameter in mm and t, the number of years since the solar blast. Anubhav recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
  (a) 17   (b) 21.25       (c) 12.25   (d) 12.06





"

Tuesday, 16 October 2012

TO FIND WORD ARRANGED IN DICTIONARY


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eg:  word regain arranged in dictionary ? 32nd word?
step1
A - 120
E -  120
G-  120
I-    120
N-   120
R -  120
_______________
TOTAL        720  
    
step2:
find in which alphabet our(given)  word is coming?
its in A-120
now we have found tat its in ALPHABET    "A'
 A-2!
 E-3!
 G-4!
 I -5!
 N-6!
 R-7!
THEY ASKED 32ND WORD
it will come in between 4! and 5! factorial 
we know tat 4! is 24word 
next word should be G
AG_ _ _ _ --->  24the word , next 
AG I----> we can arrange the next letter in 6 different way because we have 3 place/dashes more
AGI _ _ ---> 24TH +6WORD COMPLETED= 30WORD
now
AGIENR---> 31st word
AGIERN---> 32 word
tat is the ans frdz.... 
before solving this kind of puzzles go through dictionary once , and see how the words are arranged . it will be useful frdssssssss 
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ans for updated patern from 80 to 200


81. a=9,b=8,c=6,d=5,e=4 total sum of fg=32
take f=3 and g=2
fg=10*3+2;
so it will be 2 for g value........
82. as there are 4 fulls weeks i.e 28 days..
so..every day occurs min 4 times.
den remaining 3 days (as jan has 31 days) will be mondaytuesdaywednesday.
so on 31st jan comes wednesday.
so 1st janll be MoNDAY
84. 57
why because ,2(g+m+h)=19/120;
g+m+h=19/240*720 boxes=57.
86. 7.
let born year of r and be x and y.
so, given
x+y=3844;
1994-x=2(1994-y);
from this two: y=1946 and x=1898
so in 1999, R will be 101 years old.
86. If x is year of birth of R and y is year of birth of G, then
x+y= 3844
and
(1994-x)= 2*(1994-y)
solving it, we get
x= 1898 and y = 1946
87. only one
i.e, when f(x)=x^2
88.  since the track is a circular track ,A and B will meet every 50 seconds.i.e.,100/(10-8).
since it is a multiple of 50 they will be meeting at the starting point every 50 seconds.if you multiply 15*50 you will get 750 and after the second 50 it will be 1500.
all of them wil meet at the starting point after 100s
89. 18 (a+b) 1 day work=1/36-1/108=1/54
so time taken by (a+b) is 54 days and c is 108..
108 is the right answer.

q.19 6*5*4*3*2*3=216 numbers
90. wen 2nd lst dig is 2...1st posfilld in 6 ways...2nd pos filled in 5 ways..3 rdposfilld in 4 ways..4 rdposfilld in 3 ways..nd last i.e. 6th posfilld in 2 ways...=6*5*4*3*2=720

91. let G completes the work in x days...
so his son completes it in 5x days...
but according to the give data
5x=x+40
x=10
so G takes 10 days and his son takes 5*10=50 days to finish the work
G's 1 day work=1/10
his son's 1 day work=1/50
together work per day=(1/10)+(1/50)
=6/50=3/25
so they will take 25/3 (or) 8 1/3 days to complete the work together.
92. 7
94. q 23
66.6%
97. x takes 4 days to complete 1/3 rd of the job so
x's work per day is 1/12 and for 3 days =1/4
similarly
y's work per day is 1/18 and for 3 days =1/6
z's work per day is 1/10 and for 3 days =3/10

if all work together their 3 days work=1/4 + 1/6 + 3/10
=(15+10+18)/60 =43/60 work is done
remaining work=1-(43/60)=17/60
for 17/60 th work y takes (17/60)*18= 5.1 days...
[ since y's work per day is 1/18 so y completes the total work in 18 days]

so the answer is 5.1 days...
99. avinit=a
bikash=b
chandan=c
debjit=d; a,teach not spoke with c.
painter with d,a.
b and actor frnd.
so,
avinit-Actor
bikash-painter
100.1 day work for (A+B+C) = 1/36 ............(ii)
        Now, (A+B) = 2C ..........................(i)
       From (i)and(ii): 3C = 1/36
       C = 1/108Thus, C takes 108 days to complete the whole work alone..
101   lcm 0f 1,2,3=6
      10006=166
      so ans in 166
102.  let speed = x kmph
      relative speed=x-2kmph
     distance=0.6km
     time=6min/60min=0.1hr
     d=sXt
     0.6=(x-2)0.1
     x=8kmph
103. remaining work = 1-3/4 = 1/4

  A can do full work in 20 days.
  he wil do 1/4 th of work in 20*1/4= 5 days.
104.Let it be x minutes to 6
  time is (6 hr – x min)
  time before 50 minutes = (6hr – x min – 50 min) = 3 hr + 4x min
  3 hr = (4x + x – 50) min
 180 min = (5x – 50) min
  130 = 5x
  x = 26 min
  time is 6 hr – 26 min = 5 hr 34 min

105. A _ _ _ _ _ =120
so
A E _ _ _ _ =24
A M _ _ _ _ =24
48
A R E M S T
106. A _ _ _ _ _ =120
so
A E _ _ _ _ =24
A M _ _ _ _ =24
48
A R E M S T
107. ans-d)1
square table from 1 to 10
1^2=1
2^2=4
3^2=9
4^2=16 ie last digit 6
5^2=25 ie 5
6^2=36 ie 6
7^2=49 ie 9
8^2=64 ie 4
9^2=81 ie 1
10^2=100 ie 0
so last last digit could be 0,1,4,5,6,9
108. No answer
109. A _ _ _ _ _ =120
so
A E _ _ _ _ =24
A M _ _ _ _ =24
48
A R E M S T
110. No answer
1+3+9.....13
111. No answer
raju's age=x
father's age=y
mother's age =z
y+6=2(x-2)
z=2x
y+z=4x-10
112. S-F-A-Y-T is 19-6-1-25-20
according to alphabetical order A-1,B-2...S-19,F-6...
113. 5C0*11C11+5C1*11C10+5C2*11C9+5C3*11C8=2256
114. Grp Mem
A--> j,k,l,n
B--> j,k,l,m
C--> j,k,m,n
ans is 4
115. when A starts at 12 pm its covers 63*1.5 = 94.50m distance till 1:30 pm ....
relative speed of B = 84-63 = 21m /hr ......
now total distance covered by B is 94.5+34 =128.50 m
time taken by B to reach 34m ahead of A = 128.50/21 = 6.12 hr
so time is =1.30 + 6.12 = 7.42 pm
116.Ans:30
1. N=K+(X+Y-Z) ans = K+11
2. N=K+(X-Y-Z) ans = K+2
3. N=K+X*(Y-Z) ans = K+18
117. if all three work simultaneously, (10+40/3)-5=(70/3)-5=55/3
its given in kilos/minute... in question it will be asked in kilos/hour...
so for 1 hour ther is 60 minutes... so perform (55/3)*60=1100 tonnes filled in one hour
now 1100 filled in 1 hour so 2400 filled in X hour so we have 1100x=2400
so x=2400/1100=24/11.
118. A contains (2/3)*x lt.wine(7/6)*x
B contains (1/4)*2x lt. wine and (3/4)*2x lt. water
if we mix both we will get 3x lts of solution and in that
wine=[(2/3)*x]+[(1/2)*x]=(7/6)*x lt
so proportion of wine=(7/6)*x/3x=7/18....
119. et G completes the work in x days...
so his son completes it in 5x days...
but according to the give data
5x=x+40
x=10
so G takes 10 days and his son takes 5*10=50 days to finish the work
G's 1 day work=1/10
his son's 1 day work=1/50
together work per day=(1/10)+(1/50)
=6/50=3/25
so they will take 25/3 (or) 8 1/3 days to complete the work together..
120. total work done by A+B+C in 1 hr = 37/60
remaining work = 23/60
total work done by B+C in 1 hr = 11/60
total work done by B+C in y hr = 23/60

y=23/11
121. for these problems follow the formulae ((M1)*(D1)*(H1))/(W1)= ((M2)*(D2)*(H2))/(W2)
WHERE M- men or women
H- hours
D-days
W- work
here work is same .therefore W1=W2
M1*D1*H1=M2*D2*H2
30*7*18=21*8*x
implies X=22.5 days

122. In time and work problems the important point to be remebered is (number of MENDAYS is always constant.)i.e product of men into days always remains constant.
if one variable among men or days changes the other varible changes in accordance to make the value of remains constant.
let us assume X be the number of initial persons. somendays = 10* X( as told above), now 5 are absent.i.e (X-5) are present.as i told men days should be always constant
10* X= (X-5)*12
10X= 12X-60
2X=60 implies X=30.

123. 60 men --> 40 days
so they do work in a day is --> 1/40 parts
1 men(1 day) --> 1/(60*40)
so totally they have to do 1200 parts of work
For I five days 5(1/40)+
Next five days 5(55/2400)..... +5(40/2400)+....5(5/2400)=7/8
similarly they do for 60 days for the next 5 days no one will be there to complete the work.
So the job is incomplete and its answer cant be determined.
Incomplete task.

124. Answer: b) 4 : 1
D / v1 = (3/8) x / v2 ... ( 1 )
( D + x ) / v1 = (5/8) x / v2
=> D / v1 = (5/8) x / v2 - x / v1 ... ( 2 )
From equns. ( 1 ) and ( 2 ),
(3/8) x /v2 = (5/8) x / v2 - x / v1
=> 3 / (8v2) = 5 (8v2) - 1/ v1
=> 1 / v1 = ( 5/8 - 3/8) / v2
=> 4v2 = v1
hence, answer will be 4:1

125. series is like 11,23,47.....
then
11*2+1=23
23*2+1=47
47*2+1=95
95*2+1=191
191*2+1=383
hence,last three digit=95,191,383

126. Ans. D) 25
Solution:
(1+2+3)^2 = 36
(2+2+1)^2 = 25

127. heights: 70, 72, 74, 80.
condition: say 4 men, A B C D
if A's height = x
B= A + 2 = x+2
C= B + 2 = x+4
D= C + 6 = x+10
Avg = 74
=> ( x + (x+2) + (x+4) + (x+10) ) / 4 = 74
solving it..
x = 70.
hence, heights:
A, B, C, D = 70, 72, 74, 80.
solve, x=70

129. 57^3661=(57^4)^915*(57)=(49*49)^915*(57)=(2401)^915*9(57)
take tens digit which is 01 and then according to the trick from the link
=10*unit digit of power=01^anuthing is same and 01*57=57
second number 81^3643=8*3=24 so it is 41 and so adding 41+57=98

130. possible case can be
if he bought 8 oranges @ Rs 6 for each orange with an amount of Rs 48 , then
he can buy 12 oranges now @ Rs 4 per orange with same amount.

132. lets say a term 6
Now 6^3=(2^3 )* (3^3)
so, no of factors=(3+1)*(3+1)=16(using prime factorization)
Now similarly
6^4=(2^4)*(3^4)
so factors, (4+1)*(4+1)= 25
So the ans is c)25

133. 137+276=435(given)
=> 1+2=4;
3+7=3;
7+6=5;
so
731+672=534.

134. 4 cases:
{odd,odd,even}
{odd,even,even}
{even,even,even}
{even,odd,even}
3/5*3/5*3/5 + 3/5*2/5*2/5 + 2/5*2/5*2/5 + 2/5*3/5*2/5
=(27+12+8+12)/125
=59/125

136. 17*10=170
170*4=680
21*18=378
378*4=1512
7*1=7
7*4=28
So, 12*25=300
300*4=1200 and is c

137. A will take 3 hrs to complete job.B .. 6 hrs
C-- 2 hrs
If A takes x hrs, B take y7 hrs and C takes x-1 hrs to complete job independently, then
1/x +1/(x-1) +1/y =1 because they together complete 100% job in 1 hour.
1/x +1/y + 3/y = 1
solving these 2 eqns, we get
x=3 and y=6
So C complete total work in 2 hrs
C will complete 50% work in 1 hr.

138. All possibilities:
steps:
_ _ _ _ _ _ _ _ _ _
No 2 steps All 1's:

1 1 1 1 1 1 1 1 1 1 => 1 way//
1 two step:
that is choosing 1 two-step in 9 moves:
9C1 : 9 ways//
2 two-steps:
choosing 2 two-steps in 8 moves:
8C2 = 28 ways//
3 two-steps
7C3 = 35 ways//
4 two-steps//
6C4 = 15 ways//
5 two-steps//
which covers all the 10 stairs.. that means only one way
2 2 2 2 2 = 1 way//
Adding all the ways:
1 + 9 + 28 + 35 + 15 + 1 = 89 ways//

140. here $ represent the - operator so X-X=0 first condition
x$(y$z)=x-(y-z)=x-y+z
it can be written as x$y+z
2012-0+2012-1912=2112 so ans is 2112
141. The answer would be Rs 50 since a single press of the Random button would determine the correct labeling.
Here's the reasoning. Press the Random button. Since all buttons are mislabeled, whatever the Random button produces must be that drinks button (e.g. if tea, label it Tea, otherwise label it Coffee). Now, since the buttons were mislabeled, you need only switch the remaining two buttons labels
142. the ans is 7
the number divisible by 12 should be divisible by 4&3
7 can be written as 5+2 a=5 b=2... so we get is "5231352" it is divisible by 12...
143. the sum of any 2 sides must be greater than 3rd side
so
3 11 13
7 11 13 are only cases
so P= 2/10= 1/5
145. friday..If the Nth year is a non-leap year, then 320th day of year N to 206th day of year N+1 is [(365
– 320) + 206] = 251 days i.e. 35 weeks + 6 days. But this will not make the two days to be
Thursday.
Thus, the Nth year has to be a leap year. In this case 320th day of year N to 206th day of year
N+1 is [(366 – 320) + 206) = 252 days i.e. 36 weeks. Hence both days will be same day of the
week i.e. Thursday as given by the data.

168th day of N-1 year to 320th day of N year is [(365 – 168) + 320) = 517 days i.e. 73 weeks +
6 days. Thus, if the 320th day is Thursday, then the 168th day of year will be Friday, option
146. IT's 19.2
i explain... we have to apply formula 2xy/x+y three timesss
for first 10 &20 avreage speed will be 400/30=40/3 for secound 30& 40
avrage speed=2400/70=240/7... and finally apply avg formula between this two speed
avg speed=2*40/3*240/7 /40/3+240/7 = = =19.2 answer
147. 9+8+7+5+3=32...
so answer is 2
148. Simple case of averaging:
250M + 150W = 400
Thus, 400*12 = 4800
Now, 250*15 = 3750
Now, 4800-3750 = 1050
Thus, for 150W avg prod is : 1050/150 = 7
149. Suppose A takes A hrs,B takes B hrs.C wud take (A-1) hrs
Work done by A in 1/2 hrs=1/2A,B=1/2B,C=1/2(A-1)
Hence (1/2A)+(1/2B)+{1/2(A-1)}=1/2.......(i)
Also,wen A n B work,A works for 1 hr and B for 4 hrs..
Hence...(1/A)+(4/B)=1....(ii)
Solve (2) and get 1/B in terms of A..Put values of 1/B and 1/C in (1) and solve,u vl get a quadratic equation..Solve it and A=3 hrs
C=A-1 hrs= 2 hrs...Hence in 1 hr,C does 1/2 of work or 50%
150. the least possible no of member of members on any one committee = 4
In all 3 committees, say X,Y,Z, 2 persons say A and B are common.
C is common between X and Y.
D is common between Y and Z.
E is common between X and Z.
so X committee has ABCE. Y committee has ABCD. Z committee has ABDE.
151. Work done by Raju in 1 day=>1/10
Work done by Vicky in 1 day=>1/12
Work done by Tinky in 1 day=>1/15
Initialy 3 of them work 2gether for 2 days...
One of them leaves after that working for X days...
at last only tinky remains n works for 3 days...
So
2*(1/10+1/12+1/15) + X*(1/12+1/15) + 3*(1/15)=1
Solving :x=2
Hence 2+2+3=7.
Total work was done in 7 days...:)
152. No. of days is inversely proportional to Speed.
Thus, (son days)/(dad days) = (dad speed)/(son speed) .....(i)
Now given, (Dad speed)/(son speed) = 5/1 ..................(ii)
Now let, son take 'x' days ................................(iii)
Thus, dad takes (x-40) days ...............................(iv)

From (i),(ii),(iii),(iv): x=50
Thus, son takes 50 days and dad takes 10 days.
Hence, son's 1 day work = 1/50
And, dad's 1 day work = 1/10
1/10 + 1/50 = 3/25

Thus, Both takes 25/3 i.e. 8.3 days.....
153. given 6th digit even number , so last digit 2 or 4 or 6-> 3 ways
" 5th digit should be even...so there will be 2 ways(rep. not allowed)
so,therefore we get 5*4*3*2*2*3=720 ways
155. (a+b) 1 day work=1/36-1/108=1/54
so time taken by (a+b) is 54 days and c is 108..
108 is the right answer.

q.19 6*5*4*3*2*3=216 numbers
156. f(0)=2n+3
f(2012)=(2*2012)+3
=4027
161. Initial vol. of Cylinder = pi*(R^2)*H1 = pi*25*20 = 500pi
Now, vol. of Sphere = (4/3)*pi*(R^3) = (500/3)pi ....(Diam have to be assumed as equal)
New vol. of cylinder = Initial cyc. vol + Sphere vol.
pi*25*H2 = 500pi +(1500/3)pi ..(since radius of cycwil remain same)
Thus, H2 = 80/3
Now, dH = H2-H1 = 20/3 = 6.67
163. all sisters r sit together count 3 sisters =1
then total 5!*3!
164. the 30 th term is 780
1,5,6,25,26,30,31,125,126,130,131,150,151,155,156,625,626,630,631,650,651,655,656,750,751,755,756,775,776,780.
the terms are
1*5=5,5+1=6
each is multiplied by 5 and next number is result of that number which is multiplied by 5.
ex: 5*5=25
25+1=26
6*5=30
30+1=31 and so on
168. rule : [any odd no's not ending with 5]^20m thn its last digit will be 01
1941^3480 *1941^3+ 1961^4180*1961= 01*1941^3+01*1961
1941^3=21 as last two digit and when add with 1961 we get 82 as last two digit so 82 is the last two digit..................
169. A+B+C= 155 kg
Average of 7 rounds = (A+B+C+A+B+A+C+B+C+A+B+C)/7 = 4*(A+B+C)/7 = 4*155/7 = 620/7 kg
170. 1 can be arrange in 123, 132
2 can be arrange in 321
3 can be arrange in 213
number of possobolity is 4.
171. Given:
A(1)=1
A(2)=1

A(n)=A(n-1)-A(n-2) & n>=3

THUS,
A(3)= A(2) -A(1)= 1-1= 0
A(4)= A(3) -A(2)= 0-1=-1
A(5)= A(4) -A(3)= -1-0=-1
A(6)= A(5) -A(4)= -1+1= 0
A(7)= A(6) -A(5)= 0+1= 1
A(8)= A(7) -A(6)= 1-0= 1
A(9)= A(8) -A(7)= 1-1= 0
A(10)=A(9) -A(8)= 0-1=-1
A(11)=A(10)-A(9)= -1-0=-1
A(12)=A(11)-A(10)=-1+1= 0
A(13)=A(12)-A(11)= 0+1= 1
.
.
.
this continues till A(1000).
a pattern is formed at an interval of 6 i.e.{1,1,0,-1,-1,0}
So, 1+1+0+(-1)+(-1)+0=0
since there r 1000 terms,1000/6= quotient=166,remainder=4.
thus till the 996th(=166*6) term the sum will be 0 and for the rest of the 4 terms the sum will be {1+1+0-1}=1.
So S(1000)=1
The given options are incorrect.
172. may be answer is 3200 bcz in each 1 hr it doubles the numberhence
3-1000
4-2000
5-4000
6-8000
7-16000
8-32000
173. Ans.B 11110
1234+6543=11110
At unit place 4+3 sum is 0 and carry is 1
at tens place 1+4+3 sum is 1 and carry is 1
at hundreds place 1+5+2 sum is 1 and carry is 1
at thousand place 1+1+6 sum is 1 and carry is 1
hence result will be 11110
176. circular cylinder volume is given...61.6cc=pi*(inner radius)2*h
note all units in above equation are in centimeters
now solving the equation you get inner radius=0.7 cm=7mm
thus thickness= (outer dia/2)-inner radius= 8-7=1 mm
179. 35 percent invest in municipal bonds, 18 percent invest in
oil stocks, and 7 percent invest in both municipal bonds and oil stocks.
so 35-7=28% invest in municipal bonds only.
so the probability t hat the person selected will
be o ne who invests in municipal bonds but not in oil stocks = 0.28
180. 6.66%
Vol of sod chloride = 5*10000/100 = 500 gallons by vol
vol of solution after evaporation of 2500 gallon of water = 7500 gallons.
% of sod chloride in final sol = 100*500/7500= 20/3= 6.66%
181. relative velocity of trains (100+50)kmph
time require to travel 150km=150/150 = 1 hr.
distance travel by the bird in this 1 hr. = 100*1= 100 km
182. distance travel by nav. exp. in 1 hr.= 50*1 = 50 km
distance travel by hw. ahem. exp. in 1/2 hr = 40*1/2= 20 km
distance will remain before the collision = 30 km
relative speeds of trains (50+40)kmph
so time require before collision= 30/90= 1/3 hr. = 20 min.
186. x + 3y = 100
3y = -2x + 100
y = (-2x + 100)/3
since both x and y are positive integers, (-2x + 100)/3 must be an integer too
so -2x + 100 must be a multiply of 3 and x cannot exceed 50

-2(2) + 100 = 96 is a multiply of 3
-2(5) + 100 = 90 is a multiply of 3
-2(8) + 100 = 84 is a multiply of 3
.
.
.
-2(47) + 100 = 6
so x = 2, 5, 8, ..... 47
let a be the first term of the arithmetic sequence and d be the common difference
a + (n - 1)d = 47
2 + (n - 1)3 = 47
3(n - 1) = 45
n - 1 = 15
n = 16
so there are 16 terms
C
187. x+y=17/v;
x-y=1/v;
x=9/v;
y=8/v;
vxy= 72/v;;;;; option isn't correct;;
188. option b... ..because of total 1%gain in 7 day.. so in 1 hour gain 3/5;
and i7 day gain hour is 1+204/300.. and 204/300 hour= (40+(4/5)) minute ... and
4/5 minute is 48 sec...
soans b>..
189. 120 wire cable has laid firmly in the 10 km..soans is 10....
190. (3c1*6c2)+(3c2*6c1)+1=64
191. the volume of sand dig out(volume of well)=volume of embankment formed which is of a hallow cylindrical shape
usually both are cylindrical in shape so volume= pi* radius^2* height(or depth)
since width(radius) of embankment which is out side the well=21
so total radius of cone formed by embankment=21+7(that is inside well)=28
=>pi*7*7*10=[(pi*28*28*h)-(pi*7*7*h)]
=>490=h*(28^2-7^2)
=>h=490/[(7*4)^2-7^2]
=>h=490/[7^2*(4^-1)]
=>h=490/[49*15]
=>h=10/15=2/3 mts...
so option (b)...
192. condition (1)
(PR/Sa)+(3SR/2Sa)=2PR/Sb-------(1)
condition (2)
(PR+RS/2)/Sa+3/2Sa=QT/Sb
(8PR+4RS+6RS+3PR)/8Sa=QT/Sb=2PR/Sb-----(2)
dividing (1) by (2)
(11PR+10RS)/(4PR+6RS)=QT/PR
ON SIMPLIFICATION,(put,PQ=PR+RS+ST+TQ)

(11PR+10RS)/(4PR+6RS)=7/4
SOLVING FURTHER,
RS/PR=8:1
so,option (C)
193. we don't need individual values of x,y,z
so let us consider x be smaller and z is larger
so y is median=5
mean=(x+y+z)/3=(x+z+5)/3
mean=x+10 and z-15
=>(x+z+5)/3=x+10 | (x+z+5)/3=z-45
=>x+z+5=3x+30 | x+z+5=3z-45
=>2x-z+25=0 ---(1) | 2z-x-50=0 ---(2)

from the addition of two equations (1)+(2)
=>(2x-z+25)+(2z-x-50)=0
=>x+z-25=0
=>x+z=25
so x+y+z=(x+z)+y=25+5=30....
195. at each jump it moves 4 slot.
hence total jump * 4 will give at which slot he is
2200 * 4 = 8800
but its given that..there are 60 slots around a circle
so take mod 60
8800 mod 60 = 40
but mod gives and between 0 to 59...but actual slot number are from 1 to 60 hence +1 ans
hence final answer is 40 +1 = 41
196. go by options...at 7.30 a will go 6*7.5=45km
at 7.30 b will go 8*6=48km
so b ewill be 3 km ahead of a
198. only one
i.e, when f(x)=x^2
199. 337
5678%460=158
(460-158)+35=337
200. answer a) 48
if 1 is a root then x-1 is a factor of p(x)
similarly x-2 is a factor,x-3 ,x-4 are factors
but p(x) is 4th degree polynomial therefore it can be in the form
p(x) = k(x-1)(x-2)(x-3)(x-4) , where k is a constant
but given p(0) =48
therefore 24 k =48
k=2
p(x) =2(x-1)(x-2)(x-3)(x-4)
p(5)= 2*4*3*2*1 = 48


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80.  A+B+C+D+E=FG, FG =10F+G

Ato G are different letters , if FG is as large as possible , what is value of G.

82.  in a particular year the month of jan had exactly 4 thursdays and 4 sundays , on which day of the wk, jan 1 occurs?

83.  Height n distance problem. Like A person started from one place to another place with directions n distance given , find out the distance between one point to the other and find d direction.

84.  George n mark can paint 720 boxes in 20 days , mark n harry 24, Harry n george 15 days.

So total no. Of boxes painted by them ?

85. J= 16, p=24, J+P+H= 8, H=?

Actually it is a statement problem, n we have to analyze and take the values, den calculate d required?

86. R's age in 1994 is double the age of G, sum of R and G born years is 3844, wat s the age of R in 1999?

87.How many polynomials functions f of degree >= 1, satisfy f(x^2)=(f(x))^2=f(f(x))? Answer : 1
9. X*Y^2*Z

88. 6. Finding out the coordinate values for a given point in a given diagram.

Q17. In a circlr track of lngth 100m..g m n k start togethr,g n m start in d same directn at speeds 10 n 8m/s..h runs in opp directn at 15m/s..whn wl al 3 meet fr frs time,

A)4sec,b)200s,c)50sc,d)100s

89. A b c cn do sm wrk in 36dys..a n b togthr do twice as much wrk as c alone,and a n c togthr cn do thrce
as much wrk as b alne..find d time takn by c to do whle wrk..
96, 108, 120, 72
90. Hw many 6 dgt evn numbrs cn b frmd fm dgts 1 2 3 4 5 6 7 so that d dgt shd nt repeat and the secnd
last dgt is evn
6480, 320, 2160, 720
91. G wrks 5 times fastr dn hs sn n hence cmptl a job 40 dys earlr dan sn.find d time dy would take 2 fnsh
d job togethr
12.5, 8.3, 7.5, 6
92. Raju cn do a piece of wrk in 1o dys..vicky 12dys,tinku 15 dys..dy al start d work togthr,bt raju leaves
aftr 2 dys,vicjy leaues 3 dys b4 d wrk is cmptd..hw many days wrk is cmptd?
7, 5, 9, 6
93. An organstn has 3 comites..only 2 persns r mem of al 3 comites,bt evry pair of comite has 3 mem in
comon..what is d least posble no of membrs on any 1 comitee
5, 6, 4, 7
94. Each of a b c need a certain unique time to do a certn wrk..c needs 1hr les thn a to cmpt d wrk.wrkng
togthr dy requre 30min to cmpt 50percnt of d job.d wrk also gets cmptld if a n b start wrkng tgthr n a leaves aftr 1hr n b wrks fr furthr 3 hrs.hw mch wrk dnes c do per hr
16.6% 33.3% 66.6% 50%
95. In a telecm asmbly factry..dy r 250m n 150women..d avg prdctvty of al wrks is 12 per dy..d avg
prducvy of men is 15 unts per dy..wht is d avg prductvy of wnn per day?
6, 9, 7, 8
96. A tree of ht 36mts at d edge of a road brke at certain hght..n it fel in such a way dat its top touchd d
othr edge of d road..if d breadth of d road is 12m,dn the hght at tree broke..
16, 24, 12, 18

97. X takes 4 days to complete one-thrid of a job,Y takes 3 days to complete one-sixth of the same work and Z takes 5 dyas to complete half the job.If allof them work together for 3 dyas and X and Z quit,how long will it take for Y to complete the remaining work done. 

98. A sequence x1,x2,x3…. Is said to be in harmonic progression if the reciprocals 1/x1,1/x2,1/x3… are in arithmetic progression. The 5th and 7th term for harmonic progression are 30 and 50 respectively what is difference between 6th and 4th term ? 

99. n a city hub there are 4 people ;avinit,bikash,chandan,debjit.they r nt necessarily in same order,are doctr,teacher,painter,actor.avinit and the teacher never spoke to chandan.Bikash and actor were very good frendz.The painter was frendz with Debjit and the actor. 

Q.avinit? Q.bikash?
100. a,band c can do some work in 36 days a and b together do twice as much work as c.a and c together
do thrice as much work as b.eind time taken by c alone to do complete work
1.72 2.120 3.96 4.108

101. their are 1000 ice cream vending machines in school.the 1ts student goes to all ice cream vendings.The2nd studentcisits every alternate vending machine.the student visits evert 3rd vending then what is number of vending machines will most student visit? 

102. during rain rock is driving in a truck which passes a man on foot that is trading at a rate of 2 km/hr in the same direction the man could see the truck for 6 minutes and it was visible upto a distance of 0.6 km.what is the speed of truck 

103. A can do a piece of work in 20days,which B can do in 12 days,in 9 days B does 3/4th of the work.how many days will A take to finish remaining work?? 

104. 50 miutes ago if it was 4 times as many minutes past 3 o'clock,how many minutes is it to 6 o'clock ? 

105. When all the possible six letters are arranged in the letter MASTER in alphabetical order,what will be the 49th word? 

106. When all the possible six letters are arranged in the letter MASTER in alphabetical order,what will be the 49th word? 


107. A three digit number xyz is squared,which of the following could be the last digit of the square so obtained? 

a)8 b)3 c)2 d)1

108. Some seating arrangement question. Like X sits opposites Y and B sits 2 seats left of A type questions. You are asked to find the person sitting 4 seats right of X. 

109. When all words in "master" is sorted in alphabetical order then what is the 49th word. 

110. There was a triangle questions. There was a diagram of a triangle with multiple symmetric triangle inside And they asked us how to many triangles there were in total 

111. After 6 years Raju's fathers age will twice of the Raju's age 2 years ago.His mothers age was twice that of Raju's age. Sum of the age of their parents. 

112. Y-W-U-S-Q is coded as 25-23-21-19-17 

what is S-F-A-Y-T coded as.

113. There are 5 men and 11 women. How many ways can a panel of 11 be formed such that the number of men is not more than 3. 

114. There are 3 groups A,B,C 

2 members belong to all the three 3 members belong to A&B

3 members belong to B&C 3 members belong to C& A

minimum possible number of members in any three.

115. A & B travelling from X to Y. A starts at 12 pm at a speed of 63m/hr. B at 1:30 pm at a speed of


84m/hr.At what time will B be 34m ahead of A?

116. A and B play the following min-max game. Given the expression N = 12 + X*(Y - Z) where X, Y and Z are variables representing single digits (0 to 9), "A" would like to maximize N while "B" would like to minimize it. Towards this end, "A" chooses a single digit number and "B" substitutes this for a variable of her choice (X, Y or Z). "A" then chooses the next value and "B", the variable to substitute the value. Finally "A" proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be 

117. 3 trucks A,B,C 

A loads 10 kg/min B loads 13 1/3 kg/min C unloads 5kg/min

If three simultaneously works then what is the time taken to load 2.4 tonnes

118. Totally 3 beakers A,B,C are present. A of capacity X lit, B of capacity 2X lit,C of capacity 3X lit. if A contain 2/3 of wine and rest with water. B contains 1/4 of wine and rest with water. if these two liquids are poured in to the 3rd beaker what is the proportion of wine in the 3rd beaker. 

119. G wrks 5 times fastr dn hs sn n hence cmptl a job 40 dys earlr dan sn.find d time dy would take 2 fnsh d job together 

120. A finishes a work in 8 hrs B finishes a work in 10 hrs C finishes a work in 12 hrs

A,B,C work together but A leaves after 2 hrs find the time t taken by B & C.

121. If 30 men working 7 hours per day can do a work in 18 days in how many days will 21 men working 

8 hours a day do the same work? 

122. A group of men completes a work in 10 days, but five of them are absent and so the rest do the work in 12 days. Find the original number of Men. 

123. 60 men complete work in 40 days.60 men start the work and every five day five people leave.In how many days the work will be completed? 

124. A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is 3/8 of the distance AB measured from the entrance A. When the train whistles the cat runs. If the cat moves to the entrance of the tunnel, A, the train catches the cat exactly at the entrance. If the cat moves to the exit, B, the train catches the cat at exactly the exit. The speed of the train is greater than the speed of the cat by what order? 

(3 : 1) (4 : 1) (5 :1) (2:1)

125. 112347..... --- 

find the last three terms 

126. 123 : 36 : : 221 : ? 

(A) 52 (B) 69 (C) 72 (D) 25

127. 4 man avrage height is 74 inches. diffrnce in heights of 1st 3 is 2 inches whereas in 3rd nd 4th is 6 inches, find individual heights. 

128. In Loonyville, four people called Doctor, Engineer, Lawyer and Architect follow the professions of doctor, engineer and architect. However, none of them follow the profession indicated by their name. The architect has no pets. The engineer is very public spirited, but has won no recognition or awards. Lawyer is a cricket fan. Engineer plays golf regularly with Lawyer every Saturday, unless it rains. Doctor is an only child. The mayor gave Architect an award for public service. The Lawyer’s sister loves cooking. Engineer has a dog. The architect’s only sporting interest is football. 
What is the name of the Lawyer?
o Architect o Doctor o Engineer o Cannot be determined
129. find out last two digits of (2957^3661)+(3081^3643)
o 42 o 38 o 98 o 22

130. A person bought a certain number of oranges for Rs 7. If the prices of each orange was Rs 2 less, he would have bought 4 more oranges for the same amount. Find the number of oranges he bought originally. 

131. v -16 w 

-2 x y 5 z -9
If the sum of the numbers in each row column, diagonal are same then find the value of (Y+Z)

132. if N is a natural no and N^3 has 16 factors then how many maximum factors can N^4 have??

a)21 b)24 c)25 d)26
133. If 137+276=435; how much is 731+672?
A : 534 B: 1403 C: 1623 D: 1573

134. a,b,c, chosen randomly and with replacement from the set {1,2,3,4,5},the probablity that a*b+c is 

even 

135. A sequence x1 , x2 and x3 … is said to be in a harmonic progression if the reciprocals 1/x1,1/x2 and 1/x3 are in arithmetic progression. The 5th term and the 7th term for an harmonic progression are 30 and 50 respectively. What is the difference between the 6th and 4th term. 

a. 16 b. 14.5 c. 13.4 d. 12.5.
136. There is a set of 9 numbers that relate to each other in a certain way. Find the way the first set of
boxes works. The numbers in the second set work in exactly the same way. Find the missing value in the
second set.
17 10 680 21 18 1512 7 1 28
12 25 17 4 272 22 19 1672
a. 1482 b. 1090 c. 1200 d. 374

137. Each of A,B and C need a certain unique time to do certain work. C needs 1 hour less than A to complete the work. Working together they require 30 minutes to complete 50% of the work. The work also gets completed if A and B start working together and A leaves after 1 hour and B works further 3 hours. How much work does C do per hour?

a. 16.66% b. 66.66% c. 50% d. 33.33%

138. There is a staircase with 10 steps. A child runs up the steps, either 1 or 2 steps with each stride.
How many different ways can the steps be climbed by her?
a. None of the choices b. 45 c. 89 d. 10
139. When numbers are written in base b, we have 12 x 25 = 333. The value of b is
a. None of the choices b. 7 c. 8 d. 6

140. For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds:
• X $ X = 0 for all X
• X $ (Y $ Z) = X $ Y + Z
Find the Value of 2012 $ 0 + 2012 $ 1912
o 2112 o 100 o 5936 o Can not be determined
141. A drinks machine offers three solutions – Tea, Coffee or Random but the machine has been wired
up wrongly so that each button does not give what it claims. If each drink costs Rs. 50, what is the
mimimum amount of money that must be spent to determine with certainity the correct labeling of the
buttons?
o Rs. 100 o Can not be determined from the given information
o Rs 150 o Rs 50
142. 12 divides, ab313ab (in decimal notation, where a,b are digits>0, the smallest value of a+b is
o 7 o 6 o 2 o 4
143. A bag contains six sticks of the following lengths 1 cm, 3 cm, 7 cm, 11 cm and 13 cm. three sticks
are drawn at random from the bag. What is the probability that we can form a triangle with those sticks? o 11/20 o 1 o 1/4 o 2/5

144. George, Paul and Hari start a business by contributing Rs. 30000/-, Rs. 40000/- and Rs. 50000/-respectively. After ½ a year George withdraws half his contribution. At the end of the year the business showed a profit of Rs 90000 which was divided amongst the 3 men proportionate the to amount and duration of their investment in the enterprise. Paul got,

o Rs 25000/- o Rs 18000/- o Rs 32000/- o Rs 24000/-

145. In an year N, the 320th day of the year is Thursday. In the year N+1 the 206th day of the year is
also Thursday. What is the 168th day of In the year N-1?
o Friday o Thursday o Tuesday o Saturday
146. M drves alng d permtr of a square of side 10kns.she drvs alng d frst side at 10kmph,2nd
20kmph,3rd 30kmph,4th 40kmph..avg speed
30, 18, 19.2, 20

147. A+B+C+D+E=FG, FG =10F+G 
A to G are different letters , if FG is as large as possible , what is value of G. 

148. In a telecom assembly factory,there are 250men and 150 women.The average productivity of all works is 12 units per day.The average productivity of men is 15 units per day..what is the average productivity of women per day? 

a)6 b)9 c)7 d)8
149. Each of A,B,C need a certain unique time to do a certain work.C needs 1hr less than A to complete
the work.Working together they require 30min to complete 50percent of the job.The work also gets
completed if A & B start working together and A leaves after 1hr and B works for further 3 hrs.How much work does C do per hour?

a)16.6% b)33.3% c)66.6% d)50%
150. An organisation has 3 committes,only 2 persons are members of all 3 committes,but every pair of
committe has 3 members in common.what is the least possible no of members on any 1 commitee
a)5 b)6 c)4 d)7
151. Raju can do a piece of work in 1o days,Vicky in 12days,Tinku in 15 days.They all started work
together,but raju leaves after 2 days,vicky leaves 3 days before the work is completed. In how many days work is completed?



Chennai ‐ Coimbatore ‐ Madurai ‐ Salem ‐ Trichy ‐ Nellai ‐ Puducherry www.innovservices.com
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a)7 b)5 c)9 d)6

152. George works 5 times faster than his son and hence comptles a job 40 days earlier than his son.find the time they would take to finish the job together

a)12.5 b)8.3 c)7.5 d)6

153. How many 6 digit even numbers can be formed from digits 1 2 3 4 5 6 7 so that the digit should not repeat and the second last digit is even?
a)6480 b)320 c)2160 d)720

154. Each of a b c need a certain unique time to do a certn wrk..c needs 1hr les thn a to cmpt d wrk.wrkng togthr dy requre 30min to cmpt 50percnt of d job.d wrk also gets cmptld if a n b start wrkng tgthr n a leaves aftr 1hr n b wrks fr furthr 3 hrs.hw mch wrk dnes c do per hr 

155. A,B ,C can do some work in 36days.A and B together do twice as much work as c alone, and A and C together can do thrice as much work as B alone..find the time taken by C to do whole work? 

a)96 b)108 c)120 d)72

156. f(f(n))+f(n)=2n+3, f(0)=1, find f(2012)? 

157. George and mark can paint 720 boxes in 20 days , Mark n Harry 24, Harry n George 15 days.So total no. Of boxes painted by them ? 

158. In a particular year the month of january had exactly 4 thursdays and 4 sundays , on which day of the weekk, jan 1 occurs? 

159. 60 men work take 40 days to complete a work. Now suppose that is 60 men start working and every 5 days 5 people leave.In how many days will the work be complete. 

160. 28a + 30 b +31c =365 find a+b+c if a.b.c are natural numbers 

161. a cylinder of dia 10 cm and a height of 20 cm s filled with water. if a sphere of dia is submerged inside the cylinder, what will be the increase in the level of water in the cylinder ? 

162. a watch which gains uniformly , is 5min slow at 8 o clock in the morng on sunday and is 5 min 48 sec fast at 8 pm the following sunday. when did it show the correct time ? 

163. four brothers and three sisters set in a single row, facing the photographers camera. if the three sisters sit together, how many different photographs having all of them , can be clicked ? 

164. 1,5,6,25,26,30,31,125,126,130,...... what will be the 30th term in the series..?

165. A+B+C+D+E=FG, FG =10F+G

Ato G are different letters , if FG is as large as possible , what is value of G.

166. If ABERSU are in sorted in alphabetical order, if 24 sortings are req for ABUSRE, 25 - AEBRSU, 49- ARBESU, den how many for AEUSRB 

167. R's age in 1994 is double the age of G, sum of R and G born years is 3844, wat s the age of R in 1999? 
168. the last two digitss in 1941^3483+1961^4181= 

169. 3 friends A,B,c went for week end party ti Mc donald resturent and there they measure there weights in some order IN 7 rounds. 

A,B,C,AB,BC,AC,ABC. final round measure is 155kgthen find average weight of all the 7 rounds. 

170. Consider all permutations (i.e., arrangements) of digits 1, 2&3. We will say that a hit has been scored if at least one digit occurs in its proper position in the permutation. If 1 (one) occurs in the first position or 2 in the second position or 3(three) in the 3rd position in how many ways of these permutations is a hit scored? 

a) 4 b) 1 c) 2 d) 3

171. In a sequence of integers, A(n) = A(n-1)-A(n-2).where A(n) is nth term in sequence. n is integer and n>=3.if A(1)=1, A(2)=1.calculate S(1000), where S(1000) is sum of first 1000 terms.
a)2 b)3 c)4 d)0

172. a scientist was doing experiment on bacteria.Yesterday at 3pm,he observed that there were 1000 bacteria and at 5pm yesterday , he observed 4000 bacteria.how many bacteria would have been there at 8pm

a)8000 b)32000 c)16000 d)12000

173. In base 7, number is written only using digit0, 1, 6.a number 135in base 7 is 1*7^2+3*7+5=75in base10.what is sum of base7 numbers1234&6543in base 7?

(A) 11101 (B) 11110 (C) 10111 (D) 11011  Ans: b) 11110
174. If 28a+30b+31c=365 ,find the values of a+b+c if a, b, c are naturals numbers.
a) 4. b) 12. c) 10. d) Cannot be determined.

175. Abhishek start s to paint a f ence on o ne day. On the seco nd day, two mo re friend of Abhishek joins him. On the thir d day 3 mo re fr iends of him jo in him and so on. If the fenc e is c ompletely paint ed this way in exactly 20 day s, then find the number of ways in whic h 10 girls painting together can paint the fence c ompletely. Given that every girl can paint twice as fast as Abhishek and his friends (Boys)? (Assume that the friends of Abhis hek are all boys) 

176. A circular cylinder can hold 61.6 cc of water. If t he height of the cylinder is 40 c m and the outer diameter is 16 mm, what is the thicknes s of t he mat erial of the c ylinder? 
(a) 0.2 mm (b) 0.3 mm (c) 1 mm (d) 2 mm 

177. If the slow er w atchman’s had averaged 4 m/min, at what time did the two w atchmen 

meet o n the other side for the first time?

(a) 14 minutes past midnight (c) 00:14:15 am

(b) 00:12:15 am (d) 12 minut es past midnight

178. 10 Sastry start s working o n a job and works on it for 12 day s and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 day s and the work gets completed. How much more efficient is Sastry than Ravi?

(a) 50% (b) 200% (c) 60% (d) 100%

179. Amo ng a group of 2500 peo ple, 35 perc ent invest in municipal bo nds, 18 perc ent invest in oil stocks, and 7 perc ent invest in bot h municipal bonds and oil stock s. If 1 perso n is to be rando mly selected fro m 2500 people, what is the probability t hat the perso n selected w ill be o ne who invests in municipal bonds but not in oil stocks?
(a) 0.28 (b) 0.3 (c) 2.8 (d) 0.025
180. A tank c ontains 10,000 gallo ns of a so lution that is 5 percent sodium c hloride by volume.If
2500 gallons of water evaporate fro m the tank, the remaining solutio n will be approximat ely what
perc entage of sodium chlo ride?
(a) 3.33% (b) 6.66% (c) 8.9% (d) 10%

181. Two trains st art from Chennai and villupuram spaced 150 k m apart at the same time and speed as the tr ains start, a bird flies fro m one train towards the other and on reac hing the s econd t rain; it flies back to the first tr ain. T his is repeated till the trains c ollide. If the speed of the trains is 75 kmph and that of the bird is 100 k mph. How much did the bird travel till collision? 

182. Navjivan Express fro m Ahmadabad to Chennai leav es Ahmadabad at 06.30 am and travels at 50 k m/hr towards B aro da situated 100 k m away. At 7 am Howrah to Ahmadabad express leaves Baroda tow ards Ahmadabad and trav els at 40 km/hr . At 7.30 Mr.John , the t raffic controller at Baro da r ealises that bot h t he trains are r unning on the s ame t rac k. How much time do es he have to avert a head- o n collision between the two t rains? 

(a) 15 minut es (b) 20 minut es (c) 12 minutes (d) 18 minutes 

183. A father and his son go out for a ‘walk-and-run’ every morning around a track formed by an equilateral triangle. The father’s walking speed is 2 mph and his running speed is 5 mph. The son’s walking and running speeds are twice that of his father. Both start together from one apex of the triangle, the son going clockwise and the father anti-clockwise. Initially the father runs and the son walks for a certain period of time. Thereafter, as soon as the father starts walking, the son starts running. Both complete the course in 45 minutes. For how long does the father run? Where do the two cross each other? 

184. If triangle PQR , if PQ=6 c m, PR = 8 c m, QS=3 c m and PS is t he bisector of 

185. A man bets on number 16 on a roulette w heel 14 times and lo sses each time. On the 15t h span he does a quick calculatio n and finds o ut that the number 12 had appeared twice in the 14 spans and is therefore, unable to dec ide whether t o bet on 16 or 12 in the 15t h span. Which will give him the best c hance and what are the odds of winning on the bet that he tak es? (Roulette has numbers 1 to 36) 

(a) 16; 22 : 14 (b) 12; 72 : 1 (c) 12; 7 : 1 (d) Either; 35 : 1
186. How many positive int eger so lutions does the equation 2x+3y = 100 have?
(a) 50 (b) 33 (c) 16 (d) 17
187. If vx + vy = 17 and vx - vy = 1 then vxy =
(a) 17 (b) v17 (c) 72 (d) v72

188. c lock loses 1% time during the first w eek and then gains 2% time dur ing the next one week. If the clock was set right at 12 noon on a Sunday, w hat will be the time that the c lock will show exactly 14 days fro m the time it was set right?

(a) 1: 36: 48 (b) 1: 40: 48 (c) 1: 41: 24    (d) 10: 19: 12

189. A 120 wire cable has been laid firmly undergr ound between two t elepho ne

exchanges located 10k m apart.Unfortunately after the c able was laid it was discovered to be the wro ng type, the problem is the individual wir es are not labelled. There is no visual way of knowing whic h wire is whic h and thus co nnections at eit her end is not immediat ely possible.You are a trainee technician and your boss has asked yo u to identify and label the wires at both ends witho ut ripping it all up. You have no transpo rt and only a batt ery and light bulb to test co ntinuity. You do have tape and pen for labelling the wires.What is t he shortest dist anc e in k ilo met res you will need to walk to
co rr ectly identifyand label each wir e?
(a) 17 (b) 15 (c) 10 (d) 20

190. A bo x co ntains 2 white balls 3 blac k balls and 4 red balls. I n how many ways can 3 balls be drawn fro m the box , if at least one blac k ball is to be included in the draw ? 

191. A well with 14 m inside diamet er is dug 10 m deep. Earth tak en out of it has been evenly spread all around it to a w idth of 21 m to fo rm an embank ment. The height of the embank ment is: 

(a) 1/2 m (b) 2/3 m (c) 3/4 m (d) 3/5 m

192. Two c ars A and B start simultaneously fro m two points P and Q with c ertain speeds towar ds eac h other. After reaching a point R, speed of A dec reases by 1/3. It then meets B at a po int S where SQ = 2PR. If he speed of A had beco me 1/3 less at the midpoint of RS the c ars would hav e met at T
w here ST = PR/4. Find RS: PR.
(a) 5: 1 (b) 6: 1 (c) 8:1 (d) 10:1

193. Three non integers numbers X, Y, Z are such that the mean is M and the median is 5. If M is 10 more that the smallest number and 15 less than biggest number, Find the values of X+Y+Z.

a) 15 b) 5 c) 20 d) 30

194. Five funds A, B, C, D and E have selected 5 distinct numbers, make the following statements,

A: I have selected the biggest number. 
B: I have neither selected the biggest number nor the smallest number. 
C: I have selected the smallest number. 
D: I have not selected the smallest number. 
E: I have neither selected the biggest number nor the smallest number. 
If four of them speaking the truth and one of them is lying, who is the liar? a) B b) C c) D d) A

195. There are 60 slots around a circle, numbered from 1 to 60. A man starts from the 1st slot thn 5th slot and jumps into the 9th slot and so on. In which slot will he land in his 2200th jump?
a) 45 b) 41 c) 1 d) 5

196. A and B are travelling from a distance X and Y. A starts at 12p.m at a speed of 6km/hr and B starts at 1.30p.m at a speed of 8km/hr. At what time will be the 3 km ahead of A.

a) 3p.m b) 4.30p.m c) 6p.m d) 7.30p.m

197. three farmer paid rs 1000 for small pastur. one farmer gazed his 9 mules, another his 12 cows for twice and last man put in sowe goats for 2.5 times as the second man's cow and paid half the cost of the pasture.can u find out how many goat did the last man have,if 6 cows eat as much as 4 mules,and 10 goat as muchas 3 cows? 

198. How many polynomial functions f of degree >=1 satisfy f(X2) = (f(X)) 2 =f (f(X)). 

a) 1 b) 0 c) 2 d) more than 2

199. Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460?

200. p(X)=ax^4+bx^3+cx^2+dx+e has a root at x=1,2,3and4 and p(0)=48 what is p(5)?(a)48(b)24(c)0(d)50