1. Mrs. Jones, Mrs. Davis and Mrs. Smith are Friends. Their first names are

Mary, Helen and Dorothy

though not in order. All three of them go on shopping, where Marry spends twice

of what Helen spent

and Helen spends thrice of what Dorothy Spends. Mrs. Davis spends 3.85 more than

Mrs. Smith.

Identify the Families of these three women.

sol: try to solve it…

*****************************************************************************

2. A cube of size 10 units, painted black, is cut into 1000 pieces of 1 unit

size. How many of the

cubes are painted (At least on one side)

sol: each side of the cube consists of 100 cubes painted.

on 1st side 100 cubes r painted.

on 2nd side ,which is left to 1st side 90 cubes r painted

on 3rd side , which is right to 2nd side 90 cubes r painted

on 4th side,which is rt to 3rd side 80 cubes r painted.

on 5th side,which is at the top(roof) 8*8=64 cubes r painted.

on 6th side ,bottom…8*8 =64 cubes r painted.

there fore..488 cubes r painted.

*****************************************************************************

3. A Person gets his old book binded. But he finds that the page numbers are cut

off. So he starts

numbering the pages. During the process he finds that 3 is encountered 61 times.

Can u tell how

many pages were there in the book?

sol:3,13,23,30,31,32,33,34,35,36,

37,38,39,43,53,63,73,83,93,103,

203,300,301,302,303,304,305,306,307,308,309,

310,311,312,313,314,315,316,317,318,319,

320……

5. A Clock loses exactly 24 minutes per hour. The Clock is now showing 3.00 A.M.

If the clock was

corrected at midnight and it stopped 1 hour ago, What is the correct time now?

sol: so the clock looses 24*3=72 minutes in 3 hours

*****************************************************************************

6. A boy will cycle his way to his grandfather's house. On the first day he

cycles 1/2 of the distance.

On the second day hecycles 1/2 of he remaining distance. On the third day he

cycles three quarter

of the remaining. On the fourth day he cycles 10 miles. On the fourth day he

cycles 3/4 of the remaining

distance and on the final day he cycles the remaining 5 miles. What is total

distance he traveled?

sol: easy solve it…

*****************************************************************************

7. A rich man wanted to distribute his collection of gold coins among his ten

children comprising of 5

sons and 5 daughters. He also wanted to give some coins to his car driver. He

proceeds on the

following basis. The first coin went to the car driver and then 1/5th of the

remaining coins to his first

son. He then gave another coin to the car driver and distributed 1/5th of the

remaining coins to his

second son. This procedure went on till all the five sons received their share.

Once all the sons

received their shares, he distributed the remaining coins equally among his

daughters. Can u find

how many gold coins the rich man had?

sol:

*****************************************************************************

8. Ava, Fanny, Eartha, Cynthia, Isabelle and Rick, Smith, Vic, Steve, Willy are

5 Couples though not

in order. Each were married on the different day of the week from Monday to

Friday.

Ava was married on Monday but not to Willy

Steve was married on Thursday

and Rick on Friday (but not to Isabelle)

Fanny married Vic on the day after Eartha was married.

Identify the Couples.

sol: easy try it.

————————————————————————————————————————————————

1. In a tournament there are 20 flagpoles, equidistant from each other. Each

runner starts from the

first flag. In 24 seconds a runner reaches the 12th flag. How much will it take

for him to complete the

20 flags?

sol: let x be the distance b//n each flag pole

given that

in 24 seconds 11x distance.

in ? seconds 19x distance.

===> 19*24/11.

*****************************************************************************

2. TROT

+ TROT

=======

ROOM

Find T, R, O, M

sol: T=2, R=5, O=0, M=4.

*****************************************************************************

3. In a party each man pairs with 3 women and each woman pairs with 3 men. Each

pair of men had

two common partners. How many people were there in the party?

sol: 6, 3 men and 3 women.(not sure ..check it out)

*****************************************************************************

4. When I reach my father's age I will be 5 times that of my son's age. By that

time my son's age will

be 8 times my present age. If my father's age and my age add up to 100, then

what is my son's age.

sol :

*****************************************************************************

5. Speculate between A, B, C, and D about awards

A says D won in Logic

B says D won in French

C says B did not win in Mathematics

D says C won in English

When the result came out, it was found that the speculations by the logician and

the mathematician

were true while the other two false, who won which award?

sol:

easy ..think twice.

*****************************************************************************

7. There are two families Guptas & Sinhas. Each have two children. All children

are below 11 years

of age. The children who have different ages to the nearest year are Praveen,

Pratap, Ragesh, Lalit.

* Praveen is oldest.

* Rajesh is three year younger than his brother is.

* Pratap is five years elder to the younger of the Sinhas.

* Lalit is half the age of one of the Guptas.

* The difference between the sum of the ages of each family is the same as it

was five years ago.

Find the ages of the boys and to which family each belongs.

sol:

easy..if u wont get the answer ..gothrough the "george

Summer's puzzles".

*****************************************************************************

8. There is a horse race between four horses A, B,C, D. B comes first. A is not

last. C's colour is red.

Third horse is not blue. B finished just before the green horse. B finishes

before A. B is not yellow.

Give the horse names in order of finishing and their respective colours.

sol:

easy …u can solve it.

*****************************************************************************

9. Model test 2 (Barron's GRE guide)

Page=487, Section 6 (8-12).

*****************************************************************************

10. In a game there are four teams: Speakit, Doit, Thinkit, Actit. There are 3

people who gave

following statements. Among them only one was right. Then find which team wins.

A: I think either Thinkit or Doit will win.

B: I thtink Doit has no chance of winning.

C: Neither Thinkit nor Actit has any chance to win.

sol: speakit will win.

*****************************************************************************

1)A,B,C,D and E are related. Four of them made these statements, one each.

C is my son in law's brother

B is my father's brother

E is my mother in law

A is my brother's wife

Who made these statements(A/B/C/D/E)?

sol:

a bit tough but u will get it.

********************************************************************************

****************

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 relations. Use Venn diagram

********************************************************************************

****************

7)

Three 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?

sol: democratic wins the election and c made a wrong statement

********************************************************************************

*********

1)A beggar collects cigarette stubs and makes one full cigarette with every 7

stubs. Once he gets 49

stubs.

How many cigarettes can he smoke totally.

sol:with those 49 stubs he will make 7 cigaretts.after smoking them he can make

one more cigarette

with the 7 stubs which he had smoke just then…so totally 8 cigarettes

2)A soldier looses his way in a thick jungle. At random he 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 how far he is from his camp and in which direction.

sol: 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)

How 1000000000 can be written as a product of two factors neither of them

containing zeros

sol: 2 power 9 x 5 power 9

********************************************************************************

****************

4)

Conversation between two mathematcians:

First : I have three childern. The product of their ages is 36. If you sum their

ages, it is exactly same

as my neighbour's door number on my left. The second mathematician verfies the

door number and says that it is not

sufficient. Then the first says " Ok one more clue is that my youngest is really

the youngest".

Immmediately the second mathematician answers . Can you answer the question

asked by the first

mathematician?

What are the childeren ages?

sol: 1 and 6 and 6 he given the clue that "my youngest is really youngest"

thats why i took 1.

********************************************************************************

****************

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

3:20:47 am

sol : 383 + 1 = 384

********************************************************************************

****************

6)500 men are arranged in an array of 10 rows and 50 columns. Tallest among each

row of ALL are

asked to fall out. And the shortest among THEM is A. Similarly after resuming

that to their original

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 ?

sol: A

********************************************************************************

****************7)

A person spending out 1/3 for cloths , 1/5 of the remaining for food and 1/4 of

the remaining for

travel. He is left with Rs 100/- .

How much did he have with him in the begining ?

sol: (3/4)(4/5)(2/3)(X)=100;

X=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 ?

sol: 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 containing 3 links each.

It is taken to a blacksmith

to join into a single continuous one .

How many links are to be opened to make it ?

sol : 2

********************************************************************************

****************

10)Grass in lawn grows equally thick and 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.?

sol :

let g – grass at the beginning

r – rate at which grass grows, per day

y – rate at which cow eats grass, per day

n – no of cows, to be found

g + 24*r = 70 * 24 * y

g + 60*r = 30 * 60 * y

g + 96*r = n * 96 * y

Solving, n = 20.

********************************************************************************

****************11)There is a certain four digit number whose fourth digit is

twice the first digit.

Third digit is three more than the second digit.

Sum of the first and fourth digits is twice the third number.

What is that number ?

sol : 2034 and 4368

********************************************************************************

**********

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.

sol: (1/4)(2/3)X/x=1/6 th volume is present @the end of 2nd day.

********************************************************************************

****************

3. There is a 4 inch cube painted on all sides. This is cut down into of 1 inch

cubes. What is the no

of cubes which have no painted sides?

sol: 8 cubes

********************************************************************************

****************

11. Each alphabet stands for one digit in the following multiplication.

T H I S

I S

——————————————————————————–

X F X X

X X U X

——————————————————————————–

X X N X X

——————————————————————————–

What is the maximum value T can take?

——————————————————————————–

T max value = 4

********************************************************************************

*************

2. Every day a cyclist meets a train at a particular crossing. The road is

straight before the crossing

and both are travelling in the same direction. The 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 speed of the train?

sol:

easy one ..solve it.

********************************************************************************

****************

3. Five persons Mukherjee, Misra, Iyer, Patil and Sharma, all take then first or

middle names in the

full names. There are 4 persons having first or middle name of Kumar, 3 persons

with Mohan, 2

persons with Dev and 1 Anil. –Either Mukherjee and Patil have a first or middle

name of Dev or Misra

and Iyer have their first or middle name of Dev –of Mukherkjee and Misra,

either both of them have a

first or middle name of Mohan or neither have a first or middle name of Mohan –

either Iyer or

Sharma has a first or middle name of Kumar but not both.

Who has the first or middle name of Anil?

sol: mukharjee.

Anil Kumar Mukherjee

Kumar Misra Dev

Mohan Iyer Dev

Kumar Patil Mohan

Mohan Sharma Kumar

5.A bird keeper has got P pigeons, 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 comes back, the assistant told him that x

birds have escaped. The keeper

realised that atleast 2 sparrows have escaped. What is minimum no of birds that

can escape.

sol:a) 8 birds.

b) 2 sparrows

*****************************************************************************

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

person2 says n>5

person 3 says 3N>20

person 4 says 3n>10

person 5 says N<8

What IS the 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 persons 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 twins have certain peculiar charcteristics. One of them always lies on

Monday, Wednesday,

Friday. The other always lies on Tuesdays, Thursdays and Saturdays. On the other

days they tell 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

What day is today?

sol: Tuesday

*****************************************************************************

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.

sol:

*****************************************************************************

2 )

XXXX

+ XXXX

———-

XXXX

- XXXX

———-

XXXX

+ XXXX

————

XXXX

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 numbers to get the same addition. Perform the same process

again with 2 and 1

digit numbers.

Give the numbers in 7 rows at each stage.

*****************************************************************************

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.

sol: easy solve it..

*****************************************************************************

5) xxx)xxxxx(xxx

3xx

——-

xxx

x3x

——

xxx

3xx

——

Q) Find the five digit number, given that there are no 3's in the Xs. 5 is used

atleast once in the

calculation.

sol:

*****************************************************************************

6)A fly 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

equidistant from both the ends. If

the width of the room is 12m and 12m, what distance is to be travelled by the

spider to catch the fly, if

it takes the shortest path?

sol: if u go through the problem care fully .u can imagine a rt angle triangle

whose ht and breadth

sides r 12,28 where spider and fly at the extremeties of hypotenues.

now we have to find hypotenues=sqrt(144+784).

*****************************************************************************

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.

sol:

*****************************************************************************

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.

sol. 180 + (x/10) = x

x = 20

ans is 180+20=200miles.

*****************************************************************************

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.)`

*****************************************************************************

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

*****************************************************************************

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) 10 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.

sol:

***************************************************************************** 1.

A bicycle goes 1 mile in three min with the wind and returns back in four min

against the

wind. How many min will it take to cover 1 mile when there is no wind?

sol. let V1 ,V2 be the speeds of cycle n wind res-ply

given that v1+v2=1/3 //along with the wind

v1-v2=1/4 //against the wind

on solving v1=7/24 miles/minutes

time taken to cover 1 mile when there is no wind is =1/v1=24/7mins

*****************************************************************************

2. A man passed 1/6th of his life in childhood ,1/12th as youth,1/7th more as a

bachelor; five

years after his marriage a son was born who died four years before his father at

half his final age.

What is the total age of the man?

sol: let his age be X.

he got married @ (5/7)x

son born @ (5x/7)+5

and died @ (5x/7)+5+(x/2)-4

Ans.84

*****************************************************************************

3. Alpha, Beta, Gamma, Theta, Epsilon. These are five diff. quantities

(I)If & only if alpha=gamma then beta is not equal to epsilon (ii)

alpha-beta=beta-gamma

alpha >theta (iii)

alpha>beta & gamma>theta Write the quantities

in descending order.

sol:Alpha>beta=epsilon>gamma>theta

*****************************************************************************

5. S E N D

+ M O R E =

M O N E Y

What is the value of M, O , N, E?

sol: 9 5 6 7

+ 1 0 8 5

= 1 0 6 5 2

*****************************************************************************

2. fathers age is reverse of son`s age . one year back father’s age was twice of

son`s age . what`s

the

fathers current age ?

sol : 73…….as 72=36*2 // one yr back thier ages r twice of

the other

*****************************************************************************

5: there are 100 men among them 80 have telephones and 70 have cars and some 75

have houses

and 85 have mobiles.(data is not exact) . what is the minimum number of men that

have all these

things.?

sol: very easy..do it.

*****************************************************************************

9. Find the total number of rectangles (include squares also as rectangles) in a

8 * 8 standard

chessboard?

sol: think this.

*****************************************************************************

5. Boys are allowed to watch football at c.v.Raman auditorium subjected to

conditions.

1. the boy over age 16 can wear overcoat

2. no boy over age 15 can wear cap

3. to watch the football either he has to wear overcoat or cap or both

4. a boy with an umbrella or above 16 or both cannot wear sweater.

5. boys must either not watch football or wear sweater.

What is the appearance of the boy who is watching football.

sol: Who are above 15 and below 16 with cap. :

*****************************************************************************

1.My neighbor has seven children. Every brother has equal no. of brothers and

sisters, but each

sister has twice as many brothers as sisters?

sol: 4,3 ( for solution u can gothrough the "shakunthala devi's more puzzles").

*****************************************************************************

2.There are 11more animals than birds in a pet shop. If there are as many birds

as animals and if

there are as many animals as birds the no. of legs is 4/5 of the original. How

many birds and animals

are there?

sol: given that

a=b+11

now the total number of legs is = 4a+2b=4(b+11)+2b=6b+44

if no of animals = birds

given that no of legs=(4/5)(6b+44)

i.e 2b+4a=6b=(4/5)(6b+44)

solve for a,b..

*****************************************************************************

3. One soap can be made out of the scraps obtained while preparing 11 soaps. How

many soaps can

be prepared out of the scrap obtained out of 251 soaps. (Take all possibilities)

sol: 22+2+(.8+.2)=25 //251/11=22.81

//by the scraps of 22 we can

make 2 more soaps.

//with the scraps of 2 soaps

+.81(which is left from 251/11) we can make one more

soap.

*****************************************************************************

5. 2XX

3XX

—

5XX

X4X

XX3

——-

XXXXX

——-

Find out the X's and seven is not there in the calculation. Ans: 281×332

sol:

*****************************************************************************

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?

sol: /* let there be x chickens.

x chickens 1 sack of corn for 9 days.

12 chickens .9sack of corn for 30 days.

x/12=(1/.9)*(9/30).*/

36

*****************************************************************************

10.Escalator Problem. A person walking takes 26 steps to come down on a

escalator and it takes 30

seconds for him for walking. The same person while running takes 18 second and

34 steps. How

many steps are there in the escalator?

sol: 46

*****************************************************************************

1. There are 4 married couples out of which 3, a group is needed . But there

should not be his of her

spouse. How many groups are possible ?

sol: 4*8=32

*****************************************************************************

2. In the 4 digits 1,2,3,4 how many 4 digested numbers are possible which are

divisible by 4?

Repetitions are allowed.

sol: easy..one.

*****************************************************************************

3. Two men are going along a track rail in the opposite direction. One goods

train crossed the first

person in 20 sec. After 10 min the train crossed the other person who is coming

in opposite direction

in 18 sec .After the train has passed, when the two persons will meet?

sol:Approx 72min (check it once).

*****************************************************************************

7. There are 2 diamonds, 1 spade and 1 club and 1ace and also 1 king , 1 jack

and 1 ace are

arranged in a straight line

1.The king is at third place

2.Theleft of jack is a heart and its right is king

3.No two red colors are in consecutive.

4.The queens are separated by two cards. Write the order which suits (hearts

,clubs )and

names jacks queens etc.)

*****************************************************************************

10 There are 3 piles each contain 10 15 20 stones. There are A,B,C,D,F,G and H

persons. One

man can catch unto four stones from any pile. The last man who takes will win.

If first A starts next B.

and so on who will win?

sol: May be F

*****************************************************************************

2. 4 cards are placed on a table, each card has two colors. U don't know the

color of the back side of

each card.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 people 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.

sol:

this question repeated in july'2005. dont miss this quetion.

2. A person has to cover the fixed distance through his horses. There are five

horses in the cart.

They ran at the full potential for the 24 hours continuously at constant speed

and then two of the

horses ran away to some other direction. So he reached the destination 48 hours

behind the

schedule. If the five horses would have run 50 miles more, then the person would

have been only 24

hours late. Find the distance of the destination.

sol:

*****************************************************************************

3. A boat M leaves shore A and at the same time boat B leaves shore B. They move

across the river.

They met at 500 yards away from A and after that they met 300 yards away from

shore B without

halting at shores. Find the distance between the shore A & B.

sol:

*****************************************************************************

4. A person was going through train from Bombay to Pune. After every five

minutes he finds a train

coming from opposite direction. Velocity of trains are equal of either

direction. If the person reached

Pune in one hour then how many trains he saw in the journey ?

sol: 12 trains (i think)..

*****************************************************************************

1. Statements given by different family members.

1. B is my father's brother

2. E is my mother-in-law.

3. C is my son-in -law's brother

4. A is my brother's wife.

A,B,C,D,E are the family members. Who made above statements and give their

relations.

sol: A,B are couple.

E is B's brother-in-law.

D is B's son.

C is B's brother

statement spoken by

1st state ment by D

2nd B

3 rd E

4th B

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4. Three girls are discussing about the party which they attended in the past.

1st girl: Party was on May 8Th , Thursday.

2nd girl: Party was on May 10th ,Tuesday.

3rd girl: Party was on June 8th Friday.

Conditions:

1.One girl's statement totally wrong.

2.In one girl's statement only one part is correct( means it may be date, year

or month).

3.In another girl's statement except one part , every thing is true.

Find the Day the party held. (5marks).

sol :May 8th Tuesday may be correct) (ans may be MAY 10 SUNDAY. check once

again)

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1. A software engineer starts from home at 3pm for evening walk. He walks speed

of 4kmph on level

ground and then at a speed of 3kmph on the uphill and then down the hill at a

speed of 6kmph to the

level ground and then at a speed of 4kmph to the home If he reaches home at 9pm.

What is the

distance on the way ?

sol: this question repeated in july'2005 test.

try to find the average speed first.

speed=total dist/time.

=4+3+6+4/4hours=17/4 Miles/Hour. //let us assume

that he walked at each speed for one hour.

thats why 4 hours.

entirly he took 6 hours(from 3 pm to 9 pm).

there fore distance travelled = (17/4)*6 Miles.

**************** *****************************************************

2. A bag contains certain number of files, Each file is numbered with one digit

of 0 to 9. Suppose the

person wants to get the number between 1 to 2000(or 7000 check). How many

minimum no. of files

should be present in the bag.

sol:

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3. A + B + C +D = D + E + F + G = G + H + I =17. If A = 4. What are the values

of D and G. Each

letter taken only one of the digit from 1 to 9.

sol: A = 4 ,B = 2, C =6, D = 5, E = 3, F = 8, G = 1, H = 7, I = 9.

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2. A soldier looses his way in a thick jungle. At random he 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 how far he is from his

camp and in which

direction.

sol: Distance traveled 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

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5. Light glows for every 13 seconds . How many times did it glow between 1:57:58

and 3:20:47 am.

sol : 383 + 1 = 384

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6. 500 men are arranged in an array of 10 rows and 50 columns according to their

heights.

Tallest among each row of all are asked to fall out.

And the shortest among them is A.

Similarly after resuming that to their original positions that the shortest

among each column are

asked to fall out.

And the tallest among them is B .

Now who is taller among A and B ?

sol: A

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2. A gardener has a peculiar way of planting trees. He plants 100 ft. towards

east, then he plants

100ft. towards north 100ft. towards west, 98fts towards south. From that 98fts

towards east, from that

point 96fts towards north. When a man starts walking in the middle of the path

outside garden. What

is the total distance he traveled to reach the centre.

sol: think…. think..

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4. Ramesh has X rupees, on Monday beginning of the month. On every Monday his

mother gives 10

rupees as pocket money. He spends half of what he had during that week on the

4th Monday of the

month, when his mother gave his pocket Monday, he had 27 1/2 rupees . What was

the Money he

had in the beginning.

sol: 70/-

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2. How many four digit numbers divisible by four can be formed using 1,2,3,4;

repetitions are not

allowed!

sol: to be divisible by 4 ….the last 2 digits of that number should be

divisible by 4

there fore 12,32,24 r allowed at the end of the number…

so..6 numbers r divisible.

*****************************************************************************

3 A non uniform rope burns for one hour how you will measure half an hour

sol: lit it from both sides

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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 possibility to get at least one king.

sol: P(getting 1 king)+p(getting 2kings)=2/6 +1/6=3/6=1/2

b) what is the possibility to get two kings.

sol: 1/6

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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

sol 1–50 4—10p 1—25p

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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.

sol: easy one..do it.

*****************************************************************************

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

sol:

*****************************************************************************

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.

sol:

Shyam(flutist)

shamili(pianist)

aravind(violinist

kavitha(drummer)

check it out…

*****************************************************************************

1. A frog jumps 3 ft comes back 2ft in a day. In how many days it will come out

of 30ft deep well

sol: per day it it will go up 1 feet

on 27th day it will jump and move s to 30th feet but falls onto 28 .now

on 28th day

it will jump and and moves to 31 feet…so now it is out of well.

there fore it takes 28 days

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3. When the actual time pass 1hr wall clock is 10 min behind it when 1 hr is

shown by wall clock,

table clock shows 10 min ahead of it when table clock shows 1 hr the alarm clock

goes 5 min behind

it,when alarm clock goes 1 hr wrist watch is 5 min ahead of it assuming that all

clocks are correct with

actual time at 12 noon what will be time shown by wrist watch after 6 hr?

sol:—5:47:32.5

(n X 60 )50/60 X 70/60 X 55/60 X 65/60.

*****************************************************************************

6. There are 2 scales of temp A & B. It was given A 14 to 133, B 36 to 87. Find

the temp when temp

of A is equal to temp of B ?

sol: 52.5

*****************************************************************************

2. Four persons are there to cross a bridge. They have one torch light

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.

sol: a&b take 2 mins

a&c take 5 mins

a&d take 10 mins

total is 17 mins.

*****************************************************************************

3. 7 hours hour glass. 11 hours hour glass. you have to boil one egg for 15

hours

sol: sorry…

********************************************************************************

********

4. What is the maximum number of slices can you obtain by cutting a cake with

only 4 cuts?

sol: 16

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5. Three are three boxes ,

In one box Two white balls

In two box 2 black balls

In three box 1white &1 black

The labels on the boxes are not correct. Then you have to open one box and to

find the color of the

balls in all boxes.

sol: Open the box labeled black & white. If white balls are there then the box

labeled with white balls

contain black balls and labeled with black balls contain one black and one white

ball and vice versa if

two black balls are there.

3.The seven digits in this subtraction problem are 0,1,2,3,4,5 and 6. Each letter

represents the same

digit whenever it occurs.

D A D C B

E B E G

——————–

B F E G

——————–

What digit is represented by each letter ?

sol: u can do it easily…but time consuming.

****************** *****************************************************

4. The Jones have named their four boys after favorite relatives; their friends,

the Smiths, have done

the same thing with their three boys. One of the families has twin boys. From

the following clues, can

you determine the families of all seven children and their ages ?

i) Valentine is 4 years older than his twin brothers.

ii) Winston, who is 8, and Benedict are not brothers. They are each named after

a grandfather.

iii) Briscoe is two years younger than his brother Hamilton, But three years

older than Dewey.

iv) Decatur is 10 years old.

v) Benedict is 3 years younger than Valentine; they are not related.

vi) The twins are named for uncles.

sol:

*****************************************************************************

7. On the Island of imperfection there is a special road, Logic Lane, on which

the houses are usually

reserved for the more mathematical inhabitants. Add, Divide and Even live in

three different houses

on this road (which has houses numbered from 1-50). One of them is a member of

the Pukka Tribe,

who always tell the truth; another is a member of the Wotta Tribe, who never

tell the truth; and the

third is a member of the Shalla Tribe, who make statements which are alternately

true and false, or

false and true.

They make statements as follows :

ADD: 1 The number of my house is greater than that of Divide's.

2 My number is divisible by 4.

3 Even's number differs by 13 from that of one of the others.

DIVIDE : 1 Add's number is divisible by 12.

2 My number is 37.

3 Even's number is even.

EVEN : 1 No one's number is divisible by 10.

2 My number is 30.

3 Add's number is divisible by 3.

Find to which tribe each of them belongs, and the number of each of their

houses.

sol:

*****************************************************************************

8. The names of the inhabitants of Walkie Talkie Land sound strange to the

visitors, and they find it

difficult to pronounce them, due to their length and a few vowel sounds they

contain. The Walkie

Talkie guide is discussing the names of four inhabitants – A,B,C and D. Their

names each contain

upto eight syllables, although none of the four names contain the same number.

Two of the names

contain no vowel sounds; one contains one vowel sound; and one contains two

vowel sounds. From

the Guide's statements below, determine the number of syllables and vowel sounds

in each of the

four Walkie Talkie names :

i) The one whose name contains two vowel sounds is not A.

ii) C's name does not contain more than one vowel sound or fewer than seven

syllables.

iii)The name with seven syllables does not contain exactly one vowel sound.

iv) B and C do not have names with the same number of vowel sounds.

v) Neither the name with five syllables nor the name with seven syllables

contains more than

one vowel sound.

vi) Neither the name with six syllables, nor the B's name, contains two vowel

sounds.

sol:

*****************************************************************************

10. Two identical twins have a very unusual characteristic. One tells nothing

but lies on Mondays,

Wednesdays and Fridays, and tells nothing but the truth all other days. The

other tells nothing but

lies on Tuesdays, Thursdays and Saturdays, and tells nothing but the truth all

other days. On

Sundays both children speak the truth.

1) Which of the following statements can be deduced from the information

presented ?

i) If it is Sunday, the twins will both say so.

ii) If it is not Sunday,one twin will give the correct day and the other will

lie about everything.

iii)On any given day, only one twin will give his correct name.

a) i only

b) i and ii only

c) i and iii only

d) ii and iii only

e) i,ii and iii

*****************************************************************************

2) According to the information presented, which of the following conversations

will be impossible.

a)Twin A : "Today you are a lier"

Twin B : "You are telling the truth"

b)Twin A : "Today you are a lier"

Twin B : "Today I am a truthteller"

c)Twin A : "Tommorow I shall be a lier"

Twin B : "That's correct"

d)Twin A : "Tommorow you will be a lier"

Twin B : "Today you are a truthteller"

e)Twin A : "Yesterday we were both truthtellers"

Twin B : "You are lying"

3) Assume that the twins followed a different set of rules, so that on a given

day both told only the

truth while next day both only lied, alternating days of truth telling and

lying. Under these rules,which

of the following conversations would be possible ?

a) Twin A : "Today you are a lier"

Twin B : "That is correct"

b) Twin A : "Today you are a lier"

Twin B : "That is not so"

c) Twin A : "Tommorow we will be liers"

Twin B : "Yesterday we were truthtellers"

d) Twin A : "Tommorow we will be liers"

Twin B : "You are 1 year older than I am"

e) Twin A : "We always tell the truth"

Twin B : "We some times tell the truth"

4) If the twins are heard saying the following on the same day, which choice

presents a correct

statement ?

Twin A : "It is Sunday Today"

Twin B : "Yesterday was Sunday"

Twin A : "it is summer season now"

a) it is a summer sunday

b) it is a summer monday

c) it is Monday but not summer

d) it is Sunday but not summer

e) it is impossible to determine whether it is Sunday or Monday.

*****************************************************************************

3. There are nine cards numbered 1-9

(i) card 5 is in centre

(ii) card 9 is in row in which card 5 is there

(iii) card 4 is in same column in which card 9 is present

(iv) card 1 and card 6 are adjacent to each other

(v) sum of each rows is equal to 15 only

(vi) sum of each diagonal is also 15

Nine cards are arranged in three rows and three columns. Adjacent means two

cards are in same row

or in same column next to each other. Consider all possible answers.

(i) which of the following are definitely adjacent to each other. ans 1&5

(ii) which two cards do not come definitely adjacent to each other. ans 5&4

(iii) the middle column adds upto. ans 15

iv) the middle column can’t be added upto X)10 Y)15 Z) 20. ans X&Z

Possible Tables

2 7 6 6 2 7

9 5 1 1 5 9

4 3 8 3 8 4

*****************************************************************************

2. Find the values of each of the alphabets.

N O O N

S O O N

+ M O O N

———-

J U N E

sol: n=4

0=1

u=3

m=0

s=5

j=9

e=2

*****************************************************************************

2. 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 ?

sol:

*****************************************************************************

2. Fifty minutes ago if it was four times as many minutes past three o'clock,

how many minutes is it to

six o'clock?

sol: Twenty six minutes. ( refer shakunthala devi).

*****************************************************************************

5. Everyday in his business a merchant had to weigh amounts from 1 kg to 121

kgs, to the nearest

kg. What are the minimum number of weight required and how heavy should they be?

sol: .The minimum number is 5 and they should weigh 1,3,9,27 and 81 kgs.

*****************************************************************************

7. Seven members sat around a table for three days for a conference. The

member's names were

Abhishek, Amol, Ankur, Anurag, Bhuwan ,Vasu and Vikram. The meetings were

chaired by Vikram.

On the first evening members sat around the table alphabetically. On the

following two nights, Vikram

arranged the seating so that he could have Abhishek as near to him as possible

and absent

minded Vasu as far away as he could. On one evening did any person have sitting

next to him a

person who had previously been his neighbor. How did Vikram manage to seat

everybody to the best

advantage on the second and third evenings?

sol:Second evening:Vikram,Ankur,Abhishek,Amol,Vasu,Anurag,Bhuwan.

Third evening :Vikram,Anurag,Abhishek,Vasu,Bhuwan,Ankur,Amol.

*****************************************************************************

8. Two trains start from stations A and B spaced 50 kms apart at the same time

and speed. As the

trains start, a bird flies from one train towards the other and on reaching the

second train, it flies back

to the first train. This is repeated till the trains collide. If the speed of

the trains is 25 km/h and that of

the bird is 100km/h. How much did the bird travel till the collision.

sol: both stations r 50 km appart..and each train speed is 25km/h

so..in 1 hour both trains will get collided.

there fore in one hour bird can travell 100km.

*****************************************************************************

9. Four prisoners escape from a prison. The prisoners, Mr East, Mr West, Mr

South, Mr North head

towards different directions after escaping. The following information of their

escape was supplied:

The escape routes were The North Road, South Road, East Road and West Road.

None of the prisoners took the road which was their namesake.

Mr.East did not take the South Road

Mr.West did not the South Road.

The West Road was not taken by Mr.East

What road did each of the prisoners take to make their escape?

sol: Mr.East took the North Road

Mr.West took the East Road

Mr.North took the South Road

Mr.South took the West Road.

*****************************************************************************

10. Complete the series: 5, 20, 24, 6, 2, 8, ?

sol: 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).

*****************************************************************************

4. There are 111 players participating in a singles tennis tournament. The

player who is loosing will

be out of the tournament. For each and every match, one new ball is taken. Find

the no. of balls

required for the entire tournament.

sol:110

*****************************************************************************

5. Anan with her son went for shopping.. She met her husband's mother's only

daughter in law's

sister's husband. Find the relation between anan and the mentioned person.

sol: anan–>sister's husband

*****************************************************************************

6. Question on sets:

In a city, there are 23080 people.

30% read "a" newspaper.

35% read "b" newspaper

40% read "c" newspaper

1/3 of total read both a and b

25% read both b and c

34% read both a and c

1/3 read all the three.

find.

1.the no. of persons who read a only. (approx,. 4000+)

2.b only(0)

3.c only

4.none of the papers

*****************************************************************************

3. A girl is at twelve. Her mother's age is forty five years. The girl demanded

a bi-cycle upon which

the mother told to give her one, when the age of the mother is three times that

of her daughter. When

will she get the bicycle?

sol: let x be the no of yrs after which her mother gives cycle to her child

i.e (45+x)=3(12+x)

x=4.5

…….after 4.5 years she will give cycle

*****************************************************************************