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 


	If you qualify in the first part then you have to appear for 
the second i.e the following part.

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 n>5
     person 3 says 3N>20
     person 4 says 3n>10
    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


