1.A boy picks up the phone and asks"
who are you?" The voice from the other side answers" I am your
mother's mother in law".What is the relation of the boy with the fellow
speaking at the other end.(3marks).

2.Imagine a rectangle.Its length=2*width.A
square of 1 inch is cut on all corners so that the remaining portion

forms a boxwhen folded.the volume of the
box is_____ cubic inches.find the original dimensions of the box. (3 marks).

3.2 persons are doing part time job in a
company9say a and b). THe company is open for all the 7 days of the week.'A'
works every second day.'B' works every 3rd day.If 'A'works on 1st june and 'B'
works on 2nd june.Find out the date on which both 'A' and 'B' will work
together. (4 marks).

4.Consider a pile of Diamonds on a table.A
thief enters and steals 1/2 of th e total quanity and then again 2 extra from
the remaining. After some time a second thief enters and steals 1/2 of the
remaining+2. Then 3rd thief enters and steals 1/2 of the remaining+2.Then 4th
thief enters and steals 1/2 of the remaining+2.When the 5th one enters he finds
1 diamond on the table.Find out the total no. of diamonds originally on the
table before the 1st thief entered. (4
marks).

5.Imagine 4 persons A,B,C,D.(It is a
strength determining game). A found it hard,but could pull 'c' and 'd' to his
side. AC and BD pairs on opposite sides found themselves equally balanced. When
A and B exchanged thier positions to form pairs AD and BC ,BC pair could

win and pull AD to thier side.Order the
4 persons in Ascending order according
to thier strengths. (3 marks).

6.Consider a beauty contest.3 persons
participate.Their names are Attractive, Delectable,Fascinating.THere 3 tribes
Pukkas,Wottas,Summas. Pukkas - Always speak truth. Wottas - Always speak lies.
Summas - Speak truth and lies alternatively. Each of the 3 persons make 2
statements.

Attractive - (1) (2)

Delectable - (1) i don't remember (2)

Fascinating- (1) (2)The person who speaks
truth is the least beautiful

From the statements they give and the
character of the 3 tribal types, find out which person belongs to which
tribe.Also find out the persons in the Ascending order of their beauty. (8 marks).

7.There are 5
positions-Clerk,Buyer,Cashier,Manager,Floorwalker. THere are 5 persons-
Mrs.Allen, Mrs.CLark, Twain, Ewing , Bernett.

Conditions:
1.clerk and cashier lunch time 11.30.to12.30 2.others 12.30 to 1.30
3.Mrs.Allen and Bernett play durind lunch time.
4.clerk and cashier share Bachler rooms. 5.Ewing
and Twain are not in good terms because

one day when Twain retuned early from lunch
he saw Ewing already sitting fro lunch and
reported about him to the manager. Find out which person holds which post. (8 marks).

8.There are 8 courses to be handled by
faculty in 2 semesters.4 in 1

^{st}semester and 4 in 2nd semester THe candiadates hired for the post are k,l,m,n,o.The courses are Malvino,Shakespeare,Joyce,Chauncer...........
Some conditions will be given like., 1.L
and N handle Shakespeare and malvino. 2.M and O handle Malvino and Joyce.
3. ....... 4. .. .. i don't remember

..

8.
......Only one author can handle a course in 1 semester. then 3
questions were asked based on these information and 3 options for each question
were given (8 marks).

PART 1

1). A beggr collects cigarette stubs and
makes one ful cigarette with every 7 stubs. Once he gets 49 stubs . How many cigarettes can he smoke totally. Ans. 8

2). A soldiar looses his way in a thick
jungle at random
walks from his camp but mathematically in an interestingg
fashion. First he walks one mile
east then half mile to north. Then 1/4
mile to west, then 1/8 mile to south and so on
making a loop. Finally hoe far he is from his camp and
in which direction. ans: in north and south directions 1/2 -
1/8 + 1/32 - 1/128 + 1/512 - and so on
= 1/2/((1-(-1/4)) similarly in east and west directions 1- 1/4 + 1/16 - 1/64 + 1/256 - and so on = 1/(( 1- ( - 1/4)) add both the
answers

3). hoe 1000000000 can be written as a product
of two factors neither of them containing zeros Ans
2 power 9 x 5 ppower 9 ( check
the answer )

4). Conversation between two
mathematcians: first : I have three
childern. Thew pproduct of their ages is
36

. If
you sum their ages . it is exactly same as
my neighbour's door number on my left. The sacond
mathematiciaan verfies the
door number and says that the not sufficient .
Then the first
says " o.k one more clue is that my youngest is the youngest"
Immmediately the second mathematician answers . Can you
aanswer

the questoion asked by the first
mathematician? What are the childeren ages? ans
2 and 3 and 6

5). Light glows for every 13 seconds . How
many times did it between 1:57:58 and 3:20:47
am

ans : 383 + 1 = 384

6). 500 men are arranged in an array of 10 rows and 50
columns . ALL tallest among each row aare asked to fall
out . And
the shortest among THEM is A.
Similarly after resuming that to
their originaal podsitions that
the shorteest among each
column are asked to fall out. And the longest among them
is B . Now who is

taller among A and B ? ans
A

7). A person spending out 1/3 for cloths ,
1/5 of the remsaining for food and 1/4 of the remaining for
travelles is left with Rs 100/- . How he
had in the begining ? ans RS 250/-

8). there are six boxes containing 5 , 7 , 14 , 16 ,
18 , 29
balls of either red or blue in colour. Some boxes
contain only red balls and others contain only blue . One
sales man sold one
box out of them and then he says " I have the same number of red
balls left out as that of blue
". Which box is the one he solds
out ?

Ans : total no of balls = 89
and (89-29 /2 = 60/2 = 30 and also 14
+ 16 = 5 + 7 + 18 = 30

9).
A chain is
broken into three
pieces of equal
lenths conttaining 3 links each.
It is taken to a backsmith to join into
a single continuous one . How many links are to tobe
opened to make it ?
Ans : 2.

10). Grass in lawn grows equally thickand
in a uniform rate. It
takes 24 days for 70 cows and 60 for 30 cows . How many cows can
eat away the same in 96 days.?
Ans : 18 or 19

11). There is a certain four digit number
whose fourth digit is
twise the first digit. Third
digit is three more than second digit. Sum of the first and fourth digits twise
the third number. What was that number ?
Ans : 2034 and 4368

Part 2.

1.
From a vessel
on the first
day, 1/3rd of
the liquid evaporates.
On the second day 3/4th of the remaining
liquid evaporates. what fraction of the volume is present at the
end of the II day.

2. an orange galss has orange juice. and white glass has
apple juice. Bothe equal volume 50ml of the orange juice
is taken and poured into the apple juice. 50ml from the white glass is poured into the orange glass. Of the
two quantities, the
amount of apple juice in the orange glass and the
amount of orange juice in the white
glass, which one is greater and by how much?

3.
there is a 4 inch cube painted on all
sides. this is
cut into no of 1 inch cubes. what is the no of cubes which have
no pointed sides.

4. sam and mala have a conversation. sam says i am vertainly not over 40.
mala says i am 38 and you are
atleast 5 years
older than me. Now sam says you are atleast 39. all the sattements by the two are false. How hold are they realy.

5.
ram singh goes to his office in the city, every day from his
suburbun 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 ramsingh 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 walk.

6.
in a railway station, there are tow trains going. One in the harbour line and one in the main
line, each having a frequency of 10 minutes.
the main line service starts at
5 o'clock. the harbour line starts at 5.02a.m. a man goes to the station
every day to catch the first train.
what is the probability
of man catchinhg the first train

7.
some people went for vaction.
unfortunately it rained for 13 days when they were
there. but whenever
it rained in the
morning, they had clean afternood and vice versa. In
all they enjoyed 11 morning and 12 afternoons. how many
days did they stay there totally

8. exalator problem repeat

9. a survey was taken among 100 people to
firn their preference of watching t.v. programmes. there are 3 channels. given no
of people who watch at least channel 1 " " 2 " " 3 no channels at all

atleast channels 1and 3 " " 1 and 2 " " 2 and 3 find the no of people who
watched all three.

10. albert and fernandes they have two leg
swimming race. both
start from opposite and of the pool.
On the first leg, the boys pass each other at 18 mt from the deep end of
the pool. during
the II leg they pass at 10 mt from the shallow end of the
pool. Both go at const
speed. but one of them is
faster. each boy
rests for 4 sec to see at the end of the
i leg. what
is the length of the pool.

11. T
H I S Each alphabet
stands for one

I S digit, what
is the maximum value T

-------------- can take

X
F X X

X X
U X

--------------

X X
N X X

--------------

1. an escalator is descending at constant
speed. A walks
down and takes 50 steps to reach
the bottom. B runs down and takes
90 steps in the same time as A takes 10
steps. how many steps
are visible when the escalator is
not operating.

2. evvery day a cyclist meets a train at
a particular crossing.
the road is straignt before the crossing and both are travelling in the same direction. cyclist travels with a speed of 10 Kmph.
One day the cyclist comes late by 25 min. and meets the train 5km before
the crossing. what is the seppd of the
train.

3. five persons muckerjee, misra,
iyer, patil and
sharma, all take then first or
middle names in the full names. There are 4
persons having I or middle name of kumar, 3 persons with mohan, 2 persons
withdev and 1 anil.

--Either mukherjee and patil have a I or
middle name of dev or
misra and iyer have their I or middle
name of dev--of mukherkjee and misre, either both of them have a
first or middle name of mohan or
neither have a first or middle name
of mohan--either iyer of sharma has a I or middle name of kumar hut
not both. who has the I or middle name of anil

4. reading conprehension

5. a bird keeper has got Ppigeon, M mynas
and S
sparrows. the keeper goes for
lunch leaving his assistant to watch the birds.a. suppose p=10, m=5, s=8 when
the bird keeper comes back,
the assistant informs the x birds
have escaped. the
bird keeper exclaims oh no! all
my sparrows are gone. how many
birds flew away. b. when the bird keeper come back, the
assistand told him that x birds have escaped.
the keeper realised that atleast2 sparrows have escaped. what is minimum no of birds that can escape.

6.
select from the five alternatives A,B,C,D,E AT THE end of each question ,two conditions
will be given.

the choices are to filled at follows.a. if
a definete conclusion can be drawn from condition 1 b. if a definete conclusion
can be drawn from condition 2 c. if a definete conclusion can be drawn from
condition 1 and 2

d. if a definete conclusion can be drawn
from condition 1 or 2 e. no conclusion can be drawn using both conditions

1. person 1 says N<5

person says n5

person 3 says 3N20

person 4 says 3n10

person 5 says N<8

whaT IS value of N

a) 1. no of persons who speak false being
less than no of persons who tells the
truth.

2. person 2 is telling the truth.

b)
1. no of persong telling the truth
is greater than
no of persons telling lies

2.
person 5 is telling the truth.

7.
there are N coins on a table.
there are two
players A&B. you can take 1 or 2 coins at a time. the person
who takes the last coin is the loser. a always starts first--1. if N=7

a) A can always win by taking two coins in his first chanse

b) B can win only if A takes two coins in his first chance.

c) B can always win by proper play

d) none of the above

--2.
A can win by proper play if N is equal to

a)
13 b) 37 c) 22 d) 34
e) 48 ans. e.

--3. B can win by proper play if N is equal
to

a) 25
b)26 c) 32 d) 41
e) none

--4. if N<4, can A win by proper play
always

8. Two turns have vertain pecular
charcteristics. One of
them always lies on Monday,
Wednesday, Friday. \the other always
lies on Tuesdays, thursdays and
saturdays. On the other days they
tel the truth. You are given a conversation.

person A-- today is sunday my
name is anil

person B-- today is tuesday, my name is bill

answers for selected questions

2.
equal 1.
150

3.
8 2.
60 kmph

4. 37(M),41(S) 3. Mukherjee

5.
45 min. 8.
today is tuesday

6.
0.8

7.
18

11.
T max value = 4

1 S: Satch J:Jute ANS

person1: Most of us are satch
J

person2:Most of us are jute
S

person3:Two of us are satch
J

person4: Three of us are jute
J

person5:I am satch
J

we have to find who is satch and who is jute.

2 Four perssons are three to cross a bridge
they have one torch light

one person A can cross in 1 min

person B can cross in 2 min

person C can cross in 5 min

person D can cross in 10 min

They
have to cross bridge with in 17 min.

At
a time only two persons can cross

I A&B ---- 2

II A <----1

III C&D ----10

IV B <----2

V A&B ----2

__________

Total 17

37 hours
hour glass

11
hours hour glass

you
have to boil one egg for 15 hours

4 What is the maximum number of slices can
you obtain by cutting

a
cake with only 4 cuts?

ANS: 16

5 Three are three boxes , In one box Two white balls In two box 2 black balls In three box 1 white &1 black The lables on the boxes are not
correct.Then you have to open one box
and to find the colour of the balls in all boxes.

Solution: Open the box labled black&
white If white balls are there then the box labled with white balls

contain black balls and labled with black
balls contain one black and one white ball and viceversa if two black ballsare
there.

------------------------------------------------------------------------

1a)
BE * BE = ACB

A,B,C,E ARE NON ZERO NUMBERS
FIND B,E.

ANS) B=1 E=9

2)
A,B,C,D,E ARE HAVING NUMERICAL
VALUES. THERE ARE SOME CONDITIONS

GIVEN

a) A=C <===
B!=E

b)
DIFFERENCE BETWEEN A AND C AS SAME AS DIFFERENCE BETWEEN C AND B

AS SAME AS DIFFERENCE BETWEEN A AND D

c)
C<A AND CD

THEN FIND A,B,C,D,E

3)
THERE ARE SIX CARDS IN WHICH IT HAS TWO KING CARDS. ALL CARDS ARE

TURNED DOWN AND TWO CARDS ARE OPENED

a)
WHAT IS THE POSSOBILITY TO GET AT LEAST ONE KING.

b)
WHAT IS THE POSSIBILITY TO GET TWO KINGS.

4) A PERSON WENT TO A SHOP AND ASKED FOR
CHANGE FOR 1.15PAISE.

BUT HE SAID THAT HE COULD NOT ONLY GIVE
CHANGE FOR ONE RUPEE.

BUT ALSO FOR 50P,25P,10P AND 5P. WHAT WERE THE COINS HE HAD

ans) 1--50 4---10P 1---25P

5)
THERE ARE 3 NURSES AND THEY WORK ALTOGETHER ONLY ONCE IN A WEEK.

NO NURSE
IS CALLED TO WORK FOR 3 CONSECUTIVE DAYS.

NURSE 1 IS OFF ON TUESEDAY,THURSDAY AND SUNDAY.

NURSE 2 IS OFF ON SATURDAY.

NURSE 3 IS OFF ON THURSDAY,SUNDAY.

NO
TWO NURSES ARE OFF MORE THAN ONCE A WEEK.

FIND
THE DAY ON WHICH ALL THE 3 NURSES WERE ON WORK.

6)
THERE ARE 5 PERSONS A,B,C,D,E AND EACH IS WEARING A BLOCK OR WHITE

CAP ON HIS HEAD. A PERSON CAN SEE THE CAPS
OF THE REMAINING 4 BUT CAN'T

SEE HIS OWN CAP. A PERSON WEARING WHITE
SAYS TRUE AND WHO WEARS BLOCK

SAYS FALSE.

i)
A SAYS I SEE 3 WHITES AND 1 BLOCK

ii)
B SAYS I SEE 4 BLOCKS

iii) E SAYS I SEE 4 WHITES

iiii) C SAYS I SEE 3 BLOCKS AND 1 WHITE.

NOW FIND THE CAPS WEARED BY A,B,C,D AND E

7) THERE ARE TWO WOMEN, KAVITHA AND SHAMILI
AND TWO MALES SHYAM, ARAVIND

WHO ARE MUSICIANS. OUT OF THESE FOUR ONE IS
A PIANIST, ONE FLUTIST,

VIOLINIST AND DRUMMER.

i) ACROSS ARAVIND BEATS PIANIST

ii) ACROSS SHYAM IS NOT A FLUTIST

iii) KAVITHA'S LEFT IS A PIANIST

iiii) SHAMILI'S LEFT IS NOT A DRUMMER

V)
FLUTIST AND DRUMMER ARE MARRIED.

8) 1/3 ED OF THE CONTENTS OF A CONTAINER
EVAPORATED ON THE 1 ST DAY.

3/4 TH OF THE REMAINING CONTENTS OF THE CONTAINER EVAPORATED THE

SECOND DAY. WHAT PART OF THE CONTENTS OF THE CONTAINER ARE LEFT AT

THE END OF THE SECOND DAY.

9) A MAN COVERED 28 STEPS IN 30 SECONDS BUT
HE DECIDED TO MOVE FAST AND

COVERED 34 STEPS IN 18 SECONDS. HOW MANY
STEPS ARE THERE ON THE

ESCALATOR WHEN STATIONARY.

10)
ALL FAIR SKINNED, RICH, HANDSOME, MUSCULAR, LEAN AND EMPLOYED ARE

TALL MEN

1)
ALL LEAN MEN ARE MUSCULAR.

2)
NO FAIRSKINNED PERSON WHO IS NOT RICH IS HANDSOME.

3)
SOME MUSCULAR MEN ARE HANDSOME.

4)
ALL HANDSOME ARE FAIRSKINNED.

5)
NO PERSON WHO IS NEITHER FAIR SKINNED NOR MUSCULAR IS ENPLYED.

6) we
unable to recall this condition and question also incomplete.

1)A,B,C,D,E related.4 of them made these
statements each.

i)C
is my son in law's brother.

ii)B
is my father's brother.

iii)E is my mother in law.

iv)A
is my brother's wife.

who
made these statements?(person mentioned is one of A,B,C,D,E)(10 marks).

2)e means belong.

All members of E e D.

All members of D e A.

Not all members of D e E.

Not all members of A e D.

All members of C e both A and B.some
questions are asked about relatio
n.use venn diagram.(5 marks).

3)complete the table.

Played
won lost draw goals goals

for
against

A
2 2 1

B
2 1 2
4

C
2 3 7

A,B,C are 3 hockey teams.(2 marks).

4) A says Party was held on :Thursday ,May
8th. B says Party was held on :Tuesday,May 10th. C says party was held on :Friday ,June
8th. Given April 1 st was Tuesday.one
of A,B,C says 1 correct.one says 1 wrong.and one was completely wrong of date,Month
and day. Find the Day the party held. (5marks).

5) A ship is away from the shore by 180
miles.A plane is travelling at 10 times
speed of the ship.How long from the shore will they meet? (2marks)

6) Every station in N railroad issue
everyother station's ticket. some stations are added.Now they have to issue 46
more tickets. say the No.of stations after and before added.(5 marks).

7) 3 persons say these statements. A says either Democratic or liberal wins the
elections. B says Democratic wins.C says neither democratic nor liberal
wins the election.of these only one is
wrong.who wins the election?

8) A clock showing 6 o'clock takes 30 secs
to strike 6 times.How long will it take
to strike 12 at midnight?Ans.66 secs.(2marks)

9) Only boys aged 16 wear coats.

Boys
aged 15 go to watch football.some more
statements are given. What can be said about those who are watching football ?
(age and costume)

10) There are 3 societies A,B,C having some
tractors each. A Gives B and C as many tractors as they already
have. After some days B gives A and C as many tractors as they have. After some
days C gives A and B as many tractors as they have. Finally each has 24
tractors.what is the original No.of
tractors each had in the beginning?Ans.A -39. B- 21. C- 12.(7 marks).

11) 4,5 statements.From that find the
answer.(7 marks).

Reference books

1)At 6'o clock clock ticks 6 times. The time between first and last ticks was
30sec. How much time it takes at 12'o
clock. Ans. 66 sec. 2 marks.

2)Three friends divided some bullets
equally. After all of them shot 4 bullets the total no.of remaining
bullets is equal to that of one has
after division. Find the original number
divided.

Ans. x x x

x-4 x-4 x-4

3x-12 = x

x= 6

ans is 18 2 marks

3)A ship went on a voyage after 180 miles a
plane statrted with 10 times speed that
of the ship. Find the distance when they
meet from starting point.

Ans.
180 + (x/10) = x

x = 20 ans is
180+20=200miles. 2 marks

4) Fill the empty slots. Three FOOTBALL teams are there. Given below
the list of maches.

played won lost
draw Goals for Goals against

A
2 2 *0
*0 *7 1

B
2 *0 *1
1 2 4

C
2 *0 *1
*1 3 7

the slots with stars are answers. 4 marks

BC drew with 2-2

A won on B by 2-0

a won on C by 5-1

( YOU HAVE TO FILL THE BLANKS AT
APPROPRIATE STAR SYMBOLS.)`

5) There are 3 societies a,b,c. a lent tractors to b and c as many as they
had. After some time b gave as many
tractors to a and c as many as they have.
After sometime c did the same thing. At the end of this transaction each
one of them had 24. Find the tractors each orginally had. Ans a had 39, b had
21, c had 12,

6) There N stations on a railroad. After
adding x stations 46 additional tickets
have to be printed. Find N and X.

Ans.
let N(N-1) = t;

(N+x)(N+x-1) = t+46;

trail and error method x=2 and N=11
4 marks

7)Given that April 1 is tuesday. a,b,c are
3 persons told that their farewell party
was on

a - may 8, thursday

b - may 10,tuesday

c - june 8, friday

Out of a,b,c one is only correct one of the
regarding month,day,date. Other told two correct and the third person told all
wrong.What is correct date,month,day. (ans may be MAY 10 SUNDAY. check once
again)

8)There are 4 parties. df,gs,dl(depositloss),ew ran for a contest.
Anup,Sujit,John made the following statements regarding results. Anup said
either df or ew will definitely win sujit said he is confident that df will not
win

John said he is confident that neither ew
nor dl will win the result has come.
only one of the above three has made a correct statement. Who has made the correct statement and who
has won the contest. (ans DL )

9)Five people a,b,c,d,e are related to each
other. Four of them make one true statement
each as follows.

i) b is my father's brother. (ans. d said this)

ii)e is my mother-in-law. (
b )

iii)c is my son-in-law's brother. (
e )

iv)a is my brother's wife. (
c )

who said each statement.

10) All members of d are also members of a

All '' e
'' d

all '' c
'' both a and b

not all '' a are members of d

not all '' d ''
e

Some questions on these
conditions.(5questions 5 marks)

11) boys are allowed to watch football at
c.v.Raman auditorium subjected to conditions.

i)the boy over age 16 can wear overcoat

ii)no boy over age 15 can wear
cap

iii)to watch the football either he has to wear overcoat or cap

or both

iv) a boy with an umberella or above 16 or both cannot wear sweater.

v) boys must either not watch
football or wear sweater.

What is the appearence of the boy who is watching football. Try to solve this question................

1)
be * be = acb

a,b,c,e are non zero numbers
find b,e. ans) b=1
e=9

2)
a,b,c,d,e are having numerical
values. there are some conditions

given

a) a=c <===
b!=e

b)
difference between a and c as same as difference between c and b

as same as difference between a and d

c) c<a and cd

then find a,b,c,d,e

3)
there are six cards in which it has two king cards. all cards are

turned down and two cards are opened

a)
what is the possobility to get at least one king.

b)
what is the possibility to get two kings.

4) a person went to a shop and asked for
change for 1.15paise. but he said that he could not only give change for one
rupee. but also for 50p,25p,10p and 5p.
what were the coins he had

ans) 1--50 4---10p 1---25p

5)
there are 3 nurses and they work altogether only once in a week. no
nurse is called to work for 3
consecutive days. nurse 1 is off on
tueseday,thursday and sunday. nurse 2
is off on saturday.

nurse 3 is off on thursday,sunday.
no two nurses are off more than once a week. find the day on which all the 3 nurses
were on work.

6)
there are 5 persons a,b,c,d,e and each is wearing a block or white cap on his head. a person can see the caps of
the remaining 4 but can't see his own cap. a person wearing white says true and
who wears block

says false.

i)
a says i see 3 whites and 1 block

ii)
b says i see 4 blocks

iii) e says i see 4 whites

iiii) c says i see 3 blocks and 1 white.

now find the caps weared by a,b,c,d and e

7) there are two women, kavitha and shamili
and two males shyam, aravind who are musicians. out of these four one is a
pianist, one flutist, violinist and drummer.

i) across aravind beats pianist

ii) across shyam is not a flutist

iii) kavitha's left is a pianist

iiii) shamili's left is not a drummer

v)
flutist and drummer are married.

8) 1/3 ed of the contents of a container
evaporated on the 1 st day. 3/4 th of
the remaining contents of the container evaporated the second day. what part of the contents of
the container are left at the end of the
second day.

9) a man covered 28 steps in 30 seconds but
he decided to move fast and covered 34
steps in 18 seconds. how many steps are there on the escalator when stationary.

10)
all fair skinned, rich, handsome, muscular, lean and employed are tall men

1)
all lean men are muscular.

2)
no fairskinned person who is not rich is handsome.

3)
some muscular men are handsome.

4)
all handsome are fairskinned.

5)
no person who is neither fair skinned nor muscular is enplyed.

6) we
unable to recall this condition and question also incomplete.

I. ROHITH CAN CATCH EITHER THE HARBOUR LINE TRAIN OR MAIN LINE TRAIN
FROM HIS NEAREST RAILWAY STATION KANDALA TO REACH HIS OFFICE. BOTH THE TRAINS HAVE A FREQUENCY OF 10 min. IN THE
MORNING OFFICE HOURS. THE HARBOUR LINE TRAINS ARRIVE EVARY 10min. STARTING FROM
5:00a.m.
AND THE MAIN LINE TRAINS ARRIVE AT EVERY 10min. STARTING FROM 5:02a.m

II.
IN A CERTAIN DEPARTMENT STORE THE
POSITION OF BUYER,CASHIER,CLERK,
FLOORWALKAR, & MANAGER ARE HELD, THOUGH NOT NECESSARILY RESPECTIVELY ,BY M$

THE
CASHIER & THE MANAGER WERE ROOMMATES IN COLLEGE. THE BUYER IS BACHELOR,

EVANS & MISS AMES HAVE ONLY BUSINESS CONTACTS WITH EACH
OTHER MRS CONROY WAS GREATLY
DOSAPPOINTED WHEN HER HUSBAND TOLD HER THAT THE MANAGER HAD REFUGE TO GIVE HIM A RAISE. DAVIS
IS GOING TO BE THE BEST MAN WHEN THE CLErk & THE CASHIER ARE MAR RIED . WHAT POSITION DOES EACH PERSON HELD.?

III. TANVEER AND KUNAL WENT DOWN
A DESCENDING ESCALATOR . THE ESCALATOR

WAS GOING DOWN AT A CONTANT SPEED . KUNAL
WALKED DOWN THE STEPS AND

HAD TO
COVER 50 STEPS TO REACH THE BOTTOM.TANVEER ON THE OTHER HAND , RAN

DOWN THE STEPS OF THE ESCALATOR AND HENCE
HAD TO TAKE 75 STEPS TO REACH

THE
BOTTOM . ACTUALLY , TANVEER TOOK 3 STEPS IN THE SAME TIME IT TOOK KUNAL

TO TAKE 1 STEP . HOW MANY STEPS WOULD BE
visible when the ecalator is stopped and
not operating.?

Iv.
In A four team foot-ball tournament , all the teams played each other in three
rounds of matches are shown in the table -A . some of the results of the tournament are shown in the
table _B . Using the clues given below, please fill -in the blank columns in
the result table-B (goals for & goals for against ? ).

Note
: two points for win , one point for draw & zero points for defeat are awarded .

CLUES :

1. EAST ZONE WON THE TOURNAMENT DESPITE
SCORING ONE LESS GOAL THAN THE
RUNNERS -UP.

2. NORTH ZONE SCORED AN ODD NUMBER OF GOALS
IN THEIR FIRST ROUND GAME

3. SOUTH ZONE , WHO FAILED TO SCORE IN
THEIR FINAL MATCH , WERE BEATEN BY A TWO -GOAL MARGIN IN THE FIRST ROUND.

4. EAST ZONE LOST THEIR MATCH AGINST WEST
ZONE.

5. ALL FOUR TEAMS SCORED GOALS IN THE
SECOND ROUND MATCHES

6. WEST ZONE SCORED THE SAME NUMBER OF
GOALS AGAINST EAST ZONE AS NORTH ZONE SCORED AGINST THEM.

7. EAST ZONE SCORED FOUR GOALS IN ROUND TWO
MATCH.

Table - A ( MATCHES PLAYED )

~~~~~~~~~~~~~~~~~~~~

Round 1 North zone vs south
zone

west zone vs east zone.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

round 2 south zone vs west
zone

east zone vs north zone

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Round 3 south zone vs east
zone

west zone vs north zone

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Table - B ( RESULTS )

~~~~~~~~~~~~~~~~~~~~~~~~~

Played won
draw lost golas for
goals

points

against

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$

East Zone 3 -
- - ? 3

4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

North zone 3 -
- - ?
?

4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

West zone 3 -
- - 4 3

3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

South Zone 3 -
- - 2 5

1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

V. At six
o'clock the wall clock struck 6 times . Checking with my watch , I
noticed that the time between the first & last strokes was 30 seconds. How
long will the clock take to stike 12 at mid night (Ans 66

seconds)

VI.
PLESE ANSWER THE Q'S WITH REFERENCE TO THE FACTS GIVEN BELOW ( 8 MARKS )

1 .
THE MEMBERS OF A CERTAIN TRIBE ARE DIVIDED INTO THREE CASTES -ABHOR, DRAVID ,
& MAGAR CASTES

2. AN ABHOR WOMEN CANNOT MARRY A DRAVID
MAN

3. A MAGAR MAN CANNOT MARRY A DRAVID WOMEN.

4. A SON TAKES THE CASTE OF HIS FATHER, A
DAUGHTER TAKES THE CASTE OF HER MOTHER

5. ALL MARRIAGES EXCEPT THOSE MENTIOND
ABOVE ARE PERMITTED

6 . THERE ARE NO CHILDREN BORN OUT OF WED
LOCK.

1)
AN ABHOR WOMAN MARRIES AND HAS
THREE CHILDREN , ALL OF WHOM ARE MEMBER$

I) IF SHE WERE TO BE MARRIED to a magar MAN , THEY HAVE NO MALE$

II) IF SHE WERE TO BE MARRIED TO ABHOR MAN ,THEY MAY HAVE MALE CHI$

III) IF
HER FOURTH CHILD IS MALE , HE MAY BE A DRAVID,.

A) I ONLY B) III ONLY C) I & II ONLY D) II & III ONLY E) I , II & III

2) IT CAN BE INFERRED FROM THE CONDITION
DESCRIBED THAT A MAGAR MAN

I)
CANNOT HAVE A DRAVID GRAND MOTHER

II) CANNOT HAVE A DRAVID MOTHER

III ) MAY HAVE A ABHOR MOTHER

A) I ONLY B) II ONLY C) I
& II ONLY D) II & III ONLY E) I , II & III

3) WHEN TWO DRAVIDS ARE MARRIED , IT IS
IMPOSSIBLE FOR THEM TO HAVE

I) ANY FEMALE ABHOR DESCENDENTS

II ) AN ABHOR GREAT_ GRAND
DAUGHTER \

III) AN ABHOR GRAND DAUGHTER

A)I ONLY B) III ONLY C) I & II ONLY D) II & III ONLY E) I
, II & III

4)
AN ABHOR WOMAN

A)CAN HAVE A DRAVID GRANDSON

B) CANNOT HAVE A MAGAR SON

C) CANNOT HAVE A MAGAR GRAND SON

D) CAN HAVE A MAGAR DAUGHTER -IN - LAW

E) CANNOT HAVE A DRAVID GRAND DAUGHTER

VII.
IN CERTAIN COMMUNITY THERE ARE THOUSAND MARRIED COUPLES . TWO THIRDS OF THE HUSBANDS WHO ARE TALLER THAN
THEIR WIVES ARE ALSO HEAVIER AND THREE
QUARTERS OF THE HUSBANDS WHO ARE HEAVIER THAN THEIR WIVES ARE ALSO
TALLER . IF THERE ARE 120 WIVES WHO ARE TALLER AND HEAVIER THAN THEIR HUSBANDS, HOW MANY HUSBANDS ARE TALLER AND
HEAVIER THAN THEIR WIVES ?

VIII. BOTH THE GUPTHAS AND SINHAS HAVE TWO
YOUNG SONS WHOSE AGES ARE ANDER ELEVEN.
THE NAMES OF THE BOYS, WHOSE AGES ROUNDEDOFF TO THE NEAREST YEAR ARE ALL DIFFERENT, ARE RAJESH,
PRAVEEN,LALITH AND PRATHAP. TAKING THE
AGES OF THE AGES OF THE BOYS ONLY TO THE NEAREST YEAR, THE FOLLOWING STATEMENTS ARE TRUE.

RAJESH IS THREE YEARS YOUNGER THAN HIS
BROTHER IS. PRAVEEN IS THE OLDEST.

PRATHAP IS 5YRS OLDER THAN THE YOUNGER
SINHAS BOY. LALITH IS HALF AS OLD AS ONE
OF THE GUPTHA BOYS. THE TOTAL AGES OF THE BOYS IN EACH FAMILY DIFFER BY THE

SAME MOUNT
TODAY AS THEY DID
FIVE YEARS AGO. --- 7 MARKS.

IX. A LONG DIVISION SUM
---- 7 MARKS

xx)xxxxxxxxx(xxxxxxx

xx

---

xxx

xx

----

xxx

xx

---

xx

xx

--

xxx

xxx

-----

in the complete solution there
are four 5's.

Find the missing digits.

X.
FOLLOWING SERVICES ARE OPERATED BY ASIAN AIRLINES BETWEEN THE TWO ARE LOCATED
IN DIFFERENT COUNTRIES WITH DIFFERENT TIME ZONES. AS IS IS NORMALLY DONE, THE
TIME SHOWN IS THE LOCAL TIME- VIZ IST TST. REGULAR FLIGHT PERSONICFLIG

ARRIVE ALEXANDRIA 17:10 TST 15:40 TST

DEPART
" " 20:50 TST 22:50 TST

ARRIVE RAMPUR 23:40 IST
? IST

THE ARRIVAL TIME OF SUPERSONIC FLIGHT INTO
RAMPUR FROM ALEXANDR$ ARRIVAL TIME OF
THE SUPER SONIC FLIGHT ASSUMING EACH SERVICE- REGULAR AND SUPERSONIC MAINTAINS ITS OWN
CONSTANT SPEED OF FLIG$

1) There are two balls touching each other
circumferencically.The radius of the big ball is 4 times the diameter of the
small ball.The outer small ball rotates in anticlockwise direction circumferencically
over the bigger one at the rate of 16 rev/sec. The bigger wheel also rotates
anticlockwise at Nrev/sec. what is 'N' for the horizontal line from the centre
of small wheel always is horizontal.

2)
1 2 3 4

+ 3 4 5 5

----------

4 6 8 9

- 2 3 4 5

----------

2 3 4 4

+ 1 2 5 4

------------

3 6 9 8

Q)
Strike off any digit from each number in seven rows (need not be at same
place) and combine the same operations with 3 digit numbers to get the same addition. After this strike
off another digit from all and add all
the No.s to get the same 2 digit No. perform the same process again with 1 digit No.s. Give the '
no.s in 7 rows at each stage.

3) there is a safe with a 5 digit No. The
4th digit is 4 greater than second digit, while 3rd digit is 3 less than 2nd
digit. The 1st digit is thrice the last digit. There are 3 pairs whose sum is
11. Find the number. Ans) 65292.

4) there are 2 guards Bal and Pal walking on
the side of a wall of a wearhouse(12m X 11m) in opposite directions. They meet
at a point and Bal says to Pal " See you again in the other side".
After a few moments

of walking Bal decides to go back for a
smoke but he changes his direction again
to his previous one after 10 minutes of walking in the other(opposite)
direction remembering that Pal will be waiting for to meet.If Bal and Pal walk
8 and 11 feet respectively, how much distance they would have travelled before
meeting again.

5)
xxx)xxxxx(xxx

3xx

-------

xxx

x3x

------

xxx

3xx

------

Q) Find the 5 digit No. Hint: 5 is used atleast once in the calculation.

6) Afly is there 1 feet below the ceiling
right across a wall length is 30m at equal distance from both the ends. There
is a spider 1 feet above floor right across the long wall eqidistant from both
the ends. If the width of the room is 12m & 12m, what distance is to be travelled
by the spider to catch the fly? if it takes the shortest path.

7) Ramesh sit around a round table with
some other men. He has one rupee more than his right person and this person in
turn has 1 rupee more than the person to his right and so on, Ramesh decided to
give 1 rupee to his right & he in turn 2 rupees to his right and 3 rupees to
his right & so on. This process went on till a person has

'no money' to give to his right. At this
time he has 4 times the money to his right person. How many men are there along
with Ramesh and what is the money with poorest fellow.

8)Question related to probabilities of
removing the red ball from a basket,given that two balls are removed from the
basket and the other ball is red. The basket contains blue,red,yellow balls.

9)Venkat has 1boy&2daughters.The
product of these children age is 72. The sum of their ages give the door
numberof Venkat.Boy is elder of three.Can you tell the ages of all the three.

1)L:says all of my other 4 friends have
money M:says that P said that exact one has money N:says that L said that
precisely two have money O:says that M said that 3 of others have money. P:Land
N said that they have money. all are liers.Who has money&who doesn't have?

2)A hotel has two,the east wing and the
west wing.some east wing rooms but not all have an ocean view(OV).All WW have a
harbour view(HV).The charge for all rooms is identical, except as follows

* Extra charge for all HV rooms on or above
the 3rd floor

* Extra charge for all OV rooms except
those without balcony

* Extra charge for some HV rooms on the
first two floor&some EW rooms

without OV but having kitchen facilities.
(GRE modrl Test 3-question 1J-22)

3)Post man has a data of name surname door
no.pet name of 4 families. But only one is correct for each family.There are a
set of statements &questions.

4)4 couples have a party.Depending on the
set of statements,find who insulted whom and who is the host of the party.

5)5 women given some of their
heights(tall,medium,short)Hair( long, plainted),stards(Black or Brown), sari,2
medium,2-short.Tall-no sari.Plainted-medium.Answer the combinations.

1) A person has to go both
Northwards&Southwards in search of a job. He decides to go by the first
train he encounters.There are trains for every 15 min both southwards and
northwards.First train towards south is at 6:00 A.M. and that towards North is
at 6:10 .If the person arrives at any random time,what is the probability that
he gets into a train towards North.

2) A person has his own coach&whenever
he goes to railway station he takes his coach.One day he was supposed to reach
the railway station at 5 O'clock.But he finished his work early and reached at 3 O'clock .

Then he rung up his residence and asked to
send the coach immediately. He came to know that the coach has left just now to
tje railway station. He thought that the coach has left just now to the railway
station.He thought that he should not waste his time and started moving towards
his residence at the speed of 3mi/hr.On the way,he gets the coach and reaches
home at 6 o'clock.How far is his residence from railway station.

3)Radha,Geeta&Revathi went for a
picnic.After a few days they forgot the date,day and month on which they went
to picnic.Radha said that it was onThursday,May 8 and Geeta said that it was
Thursday May 10.Revathi

said Friday Jun 8.Now one of them told all
things wrongly,others one thing wrong and the last two things wrongly.If April
1st is Tuesday what is the right day,date and month?

--------------------------------------___________________________________

1)Least no. when divide by [7 gives
remainder 6,6gives 5,5 gives 4 and

soon
ans;419

2)What compilation do (ans source code to
obj)

3)Artficial language is provided which of
the language (Lisp) check

4)241 change its equivalent octal ?

5)for cube and sphere 3 views are similarly
draw one such figure?

6)Write a program to exchange two
variaables without temp

7)Fortran cannot have value by reference

8)4,6,8,__

9)success is to failure, joy is to

10)MEANING OF JOLLY?

11)opposite to essential?

12)"Raw" means

13)To be good "Wrestler " one should
have?

14)"Command" opposite?

15)genuine opposite?

16)Two proverbs are goven

17)Sum of two consecutive nos is 55, larger
one is?

18)A person goes 4/5 of his usual speed reaches
10min lateto his

destinaton, time taken?

19)80% pass in english, 70%pass in maths ,
10%fail in both , 144 pass in both . How many all appeared to the test?

20)To get a parabola if you cut a section
of?

21)Bird is flying 120km/hr b/w B to R. two
trians at B to R at 60 kmph

The distance trvelled by the bird before it
is killed.Ans.120

22)meaning of inert

Part 1.

------

(1) 9 cards are there. u have to arrange
them in a 3*3 matrix. cards are of 4
colors.they are red, yellow, blue, green.
conditions for arrangement: one red card must be in first row or second row.2 green cards should be in 3rd
column.Yellow cards must be in the 3
corners only. Two blue cards must be in the 2nd row. Atleast one green card in
each row. Solution:

Yello Red Gren

Blu Blu Gren

Yello Gren Yello

2. 4 cards are placed on a table, each card
has two colors. U don't know the color of the back side of eachcard.4 persons A
B C and D are sitting on the table before the cards. They can see Red, Green Red and blue .Out of the 4
poeple 2 always lie. They see the color
on the reverse side and give the following

comment

A: Yello/green

B: Neither Blue/nor Green

c: Blue/Yello

D: Blue/ Yello

find out the color on the other side of the 4 cards.

3.Red and brown tribes [FROM BARRONS GRE]
Conditions to get married with each other.

4. Venn diagram regarding Rich, muscular,
soft-skinned, employed, etc.,( Refer
BARRONS GRE GUIDE)

------------------------------------------------------------------------

PART 2.

-------

1. SAKUNTALA DEVI'S PUZZLE BOOK : PUZZLES
TO PUZZLE YOU. problem no: 3. ( Brothers
and Sisters) A family I know has several
children. Each boy in this family has as
many sisters as brothers but each girl has
twice as many brothers as sisters. How many brothers and sisters are there? ans: 4 boys and 3
girls.

2. No. of animals is 11 more than the no.
of birds. If the no. of birds were the
no. of animals and no. of animals

were the no. of birds( ie., interchanging
no.s of animals and birds.), the total
no. of legs get reduced by one fifth

(1/5). How many no. of birds and animals
were there? ans: birds:11,animals:22

3. In a soap company a soap is manufactured with 11 parts. For making one soap you will get 1 part as
scrap. At the end of the day u have 251 such scraps. From that how many soaps
can be manufactured? ans: 22 + 2+ 1 = 25.

4.
2 * * |

3 * * | No. 7 does not occur in this

---------------- |

5 * * | multiplication.

* 4 * |

* * 3 | Find the product.

---------------- |

* * * * * |

---------------- |

--------------------------------------------------

ans 2 8 1

3 2 2

-----

5 6 2

5 6 2 0

8 4 3 0 0

---------

9 0 4 8 2

---------

5.
There is a 5digit no. 3 pairs of sum is eleven each. Last digit is 3
times the first one. 3 rd digit is 3
less than the second. 4 th digit is 4
more than the second one. Find the
digit. ans : 25296.

6. There are five thieves, each loot a
bakery one after the other such that the first one takes 1/2 of the total no.

of the breads plus 1/2 of a bread.
Similarly 2nd, 3rd,4th and 5fth also did the same. After the fifth one no. of

breads remained are 3. Initially how many
breads were there? ans : 31.

7.ESCALATOR PROBLEM OF SAKUNTALA DEVI
'PUZZLES TO PUZZLE'book. Problem No: Problem 27( Down the escalator) ans : the no of steps in the stair way :
46.

8.Harbour line and Main
line Problem of Sakuntala Devi Puzzle
book. Ans : 4/5. ( More Puzzles book)

9.There are some chicken in a poultry. They
are fed with corn One sack of corn will come
for 9 days.The farmer decides to sell
some chicken and wanted to hold 12 chicken with him. He cuts the feed by 10%
and sack of corn comes for 30 days. So
initially how many chicken are there?

10.Two people X & Y walk on the wall of
a godown in opposite direction. They
meet at a point on one side and then go
ahead. X after walking for some time, walks in opposite direction for 15 mtrs.Then again he turns
back and walks in the original
direction. What distance did Y walk before they met again, if X walks 11 mtrs
by the time Y walks 8 mtrs.

11.Problem from SAKUNTALA DEVI 'PUZZLES TO
PUZZLE U'. Problem no: 23( Walking back
to happiness.) The walking time : 55
mins.

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