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 interesting 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

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