Aptitude Test in Infosys

1. At 6'o a clock ticks 6 times. The time between
first and last ticks is 30 seconds.
How long does it tick 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 number of bullets
remaining is equal to the bullets each had after
division. Find the original number divided.
Ans: 18 (2 marks)
Initially . x x x
Now x-4 x-4 x-4
Equation is 3x-12 = x

3. A ship went on a voyage. After it had travelled 180
miles a plane statrted with 10 times the speed of the
ship. Find the distance when they meet from starting
point.
Ans: 200miles. (2 marks)
Distance travelled by plane = 1/10 distance travelled
by ship + 180

4. Complete the Table given below:
Three football teams are there. Given below is the
group table. Fill in the x's
Played Won Lost Draw Goals For Goals Against
A 2 2 x x x 1
B 2 x x 1 2 4
C 2 x x x 3 7
Ans: The filled table is given below (4 marks)
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
5. There are 3 societies A, B, C. A lent cars to B
and C as many as they had already.
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 cars each orginally had.
Ans: A had 39 cars, B had 21 cars & C had 12 cars (4
marks)

6. There N stations on a railroad. After adding X
stations on the rail route 46 additional tickets have
to be printed. Find N and X.
Ans. x=2 and N=11
Let initially, N(N-1) = t
After adding, (N+X)(N+X-1) = t+46
By trail and error method (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 5, friday
Out of A, B, C only one made a completetly true
statement concerning date,day and month
The other told two one told the day right and the
other the date right..
What is correct date, month, day.
Ans: B - (May 10) SUNDAY
C - June 6 (Friday). (5 marks)

8. The Bulls, Pacers, Lakers and Jazz ran for a
contest. Anup, Sujit, John made the following
statements regarding results. Anup said either Bulls
or Jazz will definitely win Sujit said he is
confident that Bulls will not win John said he is
confident that neither Jazz nor Lakers will win When
the result cameit was found that only one of the above
three had made a correct statement. Who has made the
correct statement and who has won the contest.
Ans: Sujith; Lakers (5marks )

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.
(ii) E is my mother-in-law.
(iii)C is my son-in-law's brother
(iv)A is my brother's wife.
Ans: (i) D
(ii) B
(iii) E
(iv) C (10 marks)

10. Some statements are given below:
L says all of my other four friends have money
M says that P said that exactly one among them has
money
N says that L said that precisely two among them have
money
O says that M said that three of the others have money

P, L and N said that they have money
All the above statement are false..
Who has money & who doesn't have any money?
(5 marks)


1. Mr.Mathurs jewels have been stolen from his bank
locker .
The bank has lockers of 12 people which are arranged
in an array of 3 rows and 4 columns like:
1 2 3 4
5 6 7 8
9 10 11 12
The locker belonging to JONES was to the right of
BLACK'S locker and directly above MILLAR'S.
BOOTH'S locker was directly above MILLAR'S.
SMITH'S locker was also above GRAY's (though not
directly).
GREEN'S locker was directly below SMITH'S.
WILSON'S locker was between that of DAVIS and BOOTH.
MILLAR'S locker was on the bottom row directly to the
right of HERD'S.
WHITE'S locker was on the bottom right hand corner in
the same column as BOOTH'S.
Which box belonged to Mr.Mathurs?
Ans: Box number 9 belongs to Mr.Mathurs.

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?
Ans: Twenty six minutes.

3. If a clock takes 7seconds to strike 7, how long
will the same clock take to strike 10?
Ans: The clock strikes for the first time at the start
and takes 7 seconds for 6 intervals-thus for one
interval time
taken=7/6.
Therefore, for 10 seconds there are 9 intervals and
time taken is 9*7/6=10 and 1/2 seconds.

4. Three criminals were arrested for shop lifting.
However, when interrogated only one told the truth in
both his statements, while the other two each told one
true
statement and one lie.
The statements were:
ALBERT :(a)Chander passed the merchandise. (b)Bruce
created the diversion.
BRUCE :(a)Albert passed the merchandise. (b)I created
the diversion.
CLIVE :(a)I took the goods out of the shop. (b)Bruce
passed them over.
Ans: Albert passed the goods.Bruce created the
diversion..Clive took the goods out of the shop.

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

6. A hotel has 10 storeys.Which floor is above the
floor below the floor, below the floor above the
floor, below the
floor above the fifth.
Ans: The sixth floor.

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
seatings so that he could have Abhishek as near to him
as
possible and abesent minded Vasu as far away as he
could.
On no evening did any person have sitting next to him
a person who had previously been his neighbour.
How did Vikram manage to seat everybody to the best
advantage on the second and third evenings?
Ans:
Second evening:Vikram,Ankur,Abhishek,Amol,Vasu,Anurag
and 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.
Ans: 100 kms.

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

1) A man collects cigarette stubs and makes one full
cigarette with every 8 stubs.
If he gets 64 stubs how many full cigarettes can he
smoke.

Ans: 8+1=9

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.

Ans: Distance travelled 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 can 1000000000 be written as a product of two
factors neither of them containing zeros

Ans: 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?

Ans 1,6 and 6

5) Light glows for every 13 seconds . How many times
did it glow 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 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
podsitions 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 ?

Ans A


7) A person with some money spends1/3 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 ?
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 containing 3 links each. It is taken to a
backsmith to join into a single continuous one . How
many links are to to be opened to make it ?
Ans : 2.

10) Grass in lawn grows equally thick and in a
uniform rate. It takes 24 days for 70 cows and
60 days for 30 cows to eat the whole of the grass. How
many cows are needed to eat the grass in 96 days.?
Ans : 20
g - grass at the beginning
r - rate at which grass grows, per day
y - rate at which one cow eats grass, per day
n - no of cows to eat the grass in 96 days
g + 24*r = 70 * 24 * y
g + 60*r = 30 * 60 * y
g + 96*r = n * 96 * y
Solving, n = 20.

Section B
1. Replace each letter by a digit.
Each letter must be represented by the same digit
and no beginning letter of a word can be 0.

O N E
O N E
O N E
O N E
-------
T E N
Ans: 0 =1, N = 8 ,E = 2, T = 7

2. Ann, Boobie, Cathy and Dave are at their monthly
business meeting. Their occupations are author,
biologist, chemist and doctor, but not necessarily in
that order. Dave just told the biologist that
Cathy was on her way with doughnuts. Ann is sitting
across from the doctor and next to the chemist. The
doctor was thinking that Boobie was a goofy name for
parent's to choose,but didn't say anything. What is
each person's occupation?
Ans: Since Dave spoke to the biologist and Ann sat
next to the chemist and across the doctor, Cathy must
be the author and Ann the biologist. The doctor
didn't speak, but David did, so Bobbie is the doctor
and Dave the chemist.

3. Sometime after 10:00 PM a murder took place.
A witness claimed that the clock must have stopped
at the time of the shooting.
It was later found that the postion of both the
hands were the same but their positions had
interchanged.
Tell the time of the shooting (both actual and
claimed).
Ans: Time of shooting = 11:54 PM
Claimed Time = 10:59 PM

4. Next number in the series is
1 , 2 , 4 , 13 , 31 , 112 , ?
Ans: 224. No number has digits more than 4. All of
them are 1 , 2, 4, 8 , 16 , 32 , 64 converted to
numbers in base

INFOSYS Test Papers (Aptitude)
1. After three years, father's age will be ten years
more than twice the son's age.
What is the father's present age.
Ans: 33 years. (2 marks)

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
Ans: 9326 (2 marks)

3. There are 20 poles with a constant distance
between each pole A car takes 24 second to reach the
12th pole. How much will it take to reach the
last pole.
Ans: 41.45 seconds (2 marks)
Let the distance between two poles = x
Hence 11x:24::19x:?

4. A car is travelling at a uniform speed. The
driver sees a milestone showing a 2-digit number.
After travelling for an hour the driver sees
another milestone with the same digits in reverse
order.
After another hour the driver sees another
milestone containing the same two digits.
What is the average speed of the driver.

Ans: 45 kmph (4 marks)

5. The minute and the hour hand of a watch meet every
65 minutes.
How much does the watch lose or gain time and by
how much?
Ans: Gains; 5/11 minutes (4 marks)

6. Ram, Shyam and Gumnaam are friends.
Ram is a widower and lives alone and his sister
takes care of him.
Shyam is a bachelor and his neice cooks his food
and looks after his house.
Gumnaam is married to Gita and lives in large
house in the same town.
Gita gives the idea that all of them could stay
together in the house and share monthly expenses
equally.
During their first month of living together, each
person contributed Rs.25.
At the end of the month, it was found that Rs 92
was the expense so the remaining amount was
distributed equally
among everyone.
The distribution was such that everyone recieved a
whole number of Rupees.
How much did each person recieve?
Ans. Rs 2 (4
marks)
(Hint: Ram's sister, Shyam's neice and
Gumnaam's wife are the same person)

7. Four persons A, B, C and D are playing cards.
Each person has one card, laid down on the table
below him, which has two different colours on either
side.
The colours visible on the table are Red, Green,
Red and Blue.
They see the color on the reverse side and give
the following comment.
A: Yellow or Green
B: Neither Blue nor Green
C: Blue or Yellow
D: Blue or Yellow
Given that out of the 4 people 2 always lie find out
the colours on the cards each person.
Section B
1. From a vessel, 1/3rd of the liquid evaporates on
the first day.
On the second day 3/4th of the remaining liquid
evaporates.
What fraction of the volume is present at the end
of the second day.
Ans: 50%
2. An orange glass has orange juice and white glass
has apple juice both of equal volumes.
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?

Ans: The two quantities are equal
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 pointed
sides.

Ans: 8
4. Sam and Mala have a conversation.
• Sam says I am certainly 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 statements by the two are false.
How old are they really?

Ans: Mala = 38 yrs
Sam = 41 yrs.

5. Ram Singh goes to his office in the city, every day
from his suburban house.
His driver Gangaram 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.
Gangaram also reaches at the same time.
One day Ram Singh 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 two 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 and the
harbour line starts at 5.02A.M.
A man goes to the station every day to catch the
first train that comes.
What is the probability of the man catching the
first train?
Ans: 0.8
7. A family X went for a vacation.
Unfortunately it rained for 13 days when they were
there.
But whenever it rained in the mornings, they had
clear afternoons and vice versa.
In all they enjoyed 11 mornings and 12 afternoons.

How many days did they stay there totally?
Ans: 18
8. A survey was taken among 100 people to find their
preference of watching T.V. programmes.
There are 3 channels. Given the no of people who
watch
• at least channel 1
• at least channel 2
• at least channel 3
• no channels at all
• atleast channels 1and 3
• atleast channels 1 and 2
• atleast channels 2 and 3
Find the no of people who watched all three.
9. Albert and Fernandes have two leg swimming race.
Both start from opposite ends of the pool.
On the first leg, the boys pass each other at 18
m from the deep end of the pool.
During the second leg they pass at 10 m from the
shallow end of the pool.
Both go at constant speed but one of them is
faster.
Each boy rests for 4 seconds at the end of the
first leg.
What is the length of the pool?
10. Each alphabet stands for one digit in the
following multiplication.
T H I S
x I S
---------
X F X X
X X U X
------------
X X N X X
------------
What is the maximum value T can take?


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?

Ans: 150 steps
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?
Ans: 60 kmph

3. There are five persons with surnames Mukherjee,
Misra, Iyer, Patil and Sharma.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?

Ans: Kumar Misra Dev
Mohan Iyer Dev
Kumar Patil Mohan
Mohan Sharma Kumar
4. Boys are allowed to watch football at C.V.Raman
auditorium subjected to conditions.
The boy over age 16 can wear overcoat
No boy over age 15 can wear cap
To watch the football either he has to wear overcoat
or cap or both
A boy with an umberella or above 16 or both cannot
wear sweater.
Boys must either not watch football or wear sweater.
What is the appearence of the boy who is watching
football.

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.
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?
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?

6. Answer the following questions based on the
conditions from the choices A, B, C, D, E as described
below:
(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
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 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 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 and 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.
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?
(a) Yes (b) No

8. Two twins have vertain 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?
Ans: Today is Tuesday.

9. There is a safe with a 5 digit number as the key.
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

10. A hotel has two wings,the east wing and the west
wing. Some east wing rooms but not all have an ocean
view. All west wing rooms have a harbour view.
The charge for all rooms is identical, except as
follows :
Extra charge for all harbour view rooms on or above
the 3rd floor
Extra charge for all ocean view rooms except those
without balcony
Extra charge for some harbour rooms on the first two
floor & some east wing rooms without ocean view but
having kitchen facilities.
Which of the following cannot be determined on the
basis of the nformation given:
I. Whether there are any rooms without a balcony for
which an extra charge is imposed.
II. Whether any room without a kitchen or a view
involves an extra charge.
III. Whether two extra charges are impsed for any
room.
(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II and III
(This question is from 1999 Barrons GRE Guide model
Test 3 - section 6, question 22)
Ans: (A)


7. Light glows for every 13 seconds . How many times
did it glow between 1:57:58 and 3:20:47 am.
Ans : 383 + 1 = 384

8. From a vessel, 1/3rd of the liquid evaporates on
the first day. On the second day 3/4th of the
remaining liquid evaporates. What fraction of the
volume is present at the end of the second day.
Ans: 50%

9. Supposing a clock takes 7 seconds to strike 7. How
long will it take to strike 10?
Ans: 10 1/2 seconds.

10. There are 20 poles with a constant distance
between each pole. A car takes 24 second to reach the
12th pole.
How much will it take to reach the last pole.
Ans: 41.45 seconds (Let the distance between two poles
= x, Hence 11x:24::19x:? )

11. How can 1000000000 be written as a product of two
factors neither of them containing zeros
Ans: 2 power 9 x 5 power 9

15. The minute and the hour hand of a watch meet every
65 minutes. How much does the watch lose or gain time
and by how much?
Ans: Gains; 5/11 minutes

18. Four persons A, B, C and D are playing cards. Each
person has one card, laid down on the table below him,
which has two different colors on either side. The
colors visible on the table are Red, Green, Red and
Blue. They see the color on the reverse side and give
the following comment.
A: Yellow or Green B: Neither Blue nor Green
C: Blue or Yellow D: Blue or Yellow
Given that out of the 4 people 2 always lie find out
the colors on the cards each person.
Ans.

20. Some statements are given below:
L says all of my other four friends have money
M says that P said that exactly one among them has
money
N says that L said that precisely two among them have
money
O says that M said that three of the others have money

P, L and N said that they have money
All the above statement are false. Who has money & who
doesn't have any money?
Ans.

24. There are 6 volumes of books on a rack kept in
order ( i.e. vol.1, vol. 2 and so on ). Give the
position after the following changes were noticed.
All books have been changed
Vol.5 was directly to the right of Vol.2
Vol.4 has Vol.6 to its left and both weren't at
Vol.3's place
Vol.1 has Vol.3 on right and Vol.5 on left
An even numbered volume is at Vol.5's place
Find the order in which the books are kept now.
Ans: 2 , 5 , 1 , 3 , 6 , 4
25. 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.
Ans: Distance traveled in north and south directions:
1/2 - 1/8 + 1/32 - 1/128 + 1/512 - ............. =
1/2/((1-(-1/4))
Similarly in east and west directions:
1- 1/4 + 1/16 - 1/64 + 1/256 - ................... =
1/(( 1- ( - 1/4)) Add both the answers
26. Conversation between two mathematicians:
First : I have three children. The product of their
ages is 36. If you sum their ages, it is exactly same
as my neighbor's door number on my left.
The second mathematician verifies 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". Immediately the second mathematician
answers. Can you answer the question asked by the
first mathematician? What are the children ages?
Ans 1,6 and 6
27. 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 ?
Ans. A

28. There are six boxes containing 5 , 7 , 14 , 16 ,
18 , 29 balls of either red or blue in color. 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 sold
out ?
Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30
and also 14 + 16 = 5 + 7 + 18 = 30
29. Ram Singh goes to his office in the city, every
day from his suburban house. His driver Gangaram 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. Gangaram also reaches at
the same time. One day Ram Singh 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?
Ans.
30. A family X went for a vacation. Unfortunately it
rained for 13 days when they were there. But whenever
it rained in the mornings, they had clear afternoons
and vice versa. In all they enjoyed 11 mornings and 12
afternoons. How many days did they stay there totally?

Ans: 18
31. There are N coins on a table and 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.
If N=7
(a) A can always win by taking two coins in his first
chance
(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
Ans.
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
Ans.
4. if N<4, can A win by proper play always?
(a) Yes (b) No
Ans.
33. 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.
(ii) E is my mother-in-law.
(iii) C is my son-in-law's brother
(iv) A is my brother's wife.
Ans: (i) D (ii) B (iii) E (iv) C


1. 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 pointed sides.
Ans: 8
2. At 6'o a clock ticks 6 times. The time between
first and last ticks is 30 seconds. How long does it
tick at 12'o clock.
Ans: 66 sec.
3. Complete the series: 5, 20, 24, 6, 2, 8, ?
Ans: 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8,
8+4=12).
4. Find the values of each of the alphabets.
N O O N
S O O N
+ M O O N
J U N E
Ans: 9326
5. If a clock takes 7seconds to strike 7, how long
will the same clock take to strike 10?
Ans: The clock strikes for the first time at the start
and takes 7 seconds for 6 intervals-thus for one
interval time taken=7/6. Therefore, for 10 seconds
there are 9 intervals and time taken is 9*7/6=10 and
1/2 seconds.
6. 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?
Ans: 150 steps
7. A chain is broken into three pieces of equal
lengths containing 3 links each. It is taken to a
blacksmith to join into a single continuous one. How
many links are to to be opened to make it ?
Ans : 2.
8. There is a safe with a 5 digit number as the key.
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
9. An orange glass has orange juice and white glass
has apple juice both of equal volumes. 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?
Ans: The two quantities are equal
10. The shape in the sketch below is that of a square
attached to half of a similar square. Divide it into
four equal pieces


Ans: Hint : the figure can be divided into 12 equal
triangles
11. Fifty minutes ago if it was four times as many
minutes past three o'clock, how many minutes is it to
six o'clock?
Ans: Twenty six minutes.
12. Everyday in his business a merchant had to weigh
amounts from 1 kg to 121kgs, to the nearest kg.
What are the minimum number of weight required and how
heavy should they be?
Ans: .The minimum number is 5 and they should weigh
1,3,9,27 and 81kgs.
13. A car is traveling at a uniform speed. The driver
sees a milestone showing a 2-digit number. After
traveling for an hour the driver sees another
milestone with the same digits in reverse order. After
another hour the driver sees another milestone
containing the same two digits. What is the average
speed of the driver.
Ans: 45kmph
14. A hotel has 10 storeys. Which floor is above the
floor below the floor, below the floor above the
floor, below the
floor above the fifth.
Ans: The sixth floor.
15. Albert and Fernandes have two leg swimming race.
Both start from opposite ends of the pool. On the
first leg, the boys pass each other at 18 m from the
deep end of the pool. During the second leg they pass
at 10 m from the shallow end of the pool. Both go at
constant speed but one of them is faster. Each boy
rests for 4 seconds at the end of the first leg. What
is the length of the pool?
Ans.
16. Shahrukh speaks truth only in the morning and lies
in the afternoon, whereas Salman speaks truth only in
the afternoon. A says that B is Shahrukh. Is it
morning or afternoon and who is A - Shahrukh or
Salman.
Ans: Afternoon ; A is Salman.
17. A person with some money spends1/3 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 beginning ?
Ans: Rs 250/-
18. Ram, Shyam and Gumnaam are friends.
Ram is a widower and lives alone and his sister takes
care of him.
Shyam is a bachelor and his niece cooks his food and
looks after his house.
Gumnaam is married to Gita and lives in large house in
the same town.
Gita gives the idea that all of them could stay
together in the house and share monthly expenses
equally.
During their first month of living together, each
person contributed Rs.25. At the end of the month, it
was found that Rs 92 was the expense so the remaining
amount was distributed equally among everyone. The
distribution was such that everyone received a whole
number of Rupees. How much did each person receive?
Ans. Rs 2 (Hint: Ram's sister, Shyam's niece and
Gumnaam's wife are the same person)
19. There are 3 societies A, B, C. A lent cars to B
and C as many as they had already. 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
cars each originally had.
Ans: A had 39 cars, B had 21 cars & C had 12 cars
20. Sam and Mala have a conversation.
Sam says I am certainly not over 40
Mala says I am 38 and you are at least 5 years older
than me
Now Sam says you are at least 39
All the statements by the two are false. How old are
they really?
Ans: Mala = 38 yrs, Sam = 41 yrs.
21. Each alphabet stands for one digit in the
following multiplication.
T H I S
x I S
X F X X
X X U X
X X N X X What is the maximum value T can take?
Ans: T max value = 4
22. Grass in lawn grows equally thick and in a uniform
rate. It takes 24 days for 70 cows and 60 days for 30
cows to eat the whole of the grass. How many cows are
needed to eat the grass in 96 days.?
Ans : 20
[Hint: g - grass at the beginning r - rate at which
grass grows, per day
y - rate at which one cow eats grass, per day n - no
of cows to eat the grass in 96 days
g + 24*r = 70 * 24 * y g + 60*r = 30 * 60 * y
g + 96*r = n * 96 * y, Solving, n = 20. ]
23. Three criminals were arrested for shop lifting.
However, when interrogated only one told the truth in
both his statements, while the other two each told one
true statement and one lie. The statements were:
ALBERT :(a) Chander passed the merchandise. (b) Bruce
created the diversion.
BRUCE :(a) Albert passed the merchandise. (b) I
created the diversion.
CLIVE :(a) I took the goods out of the shop. (b) Bruce
passed them over.
Ans: Albert passed the goods. Bruce created the
diversion. Clive took the goods out of the shop.
24. I bought a car with a peculiar 5 digit numbered
license plate which on reversing could still be read.
On reversing value is increased by 78633.Whats the
original number if all digits were different?
Ans: Only 0 1 6 8 and 9 can be read upside down. So on
rearranging these digits we get the answer as 10968
25. There N stations on a railroad. After adding X
stations on the rail route 46 additional tickets have
to be printed.
Find N and X.
Ans. x=2 and N=11 ( Let initially, N(N-1) = t; After
adding, (N+X)(N+X-1) = t+46;Trail and error method )
26. Complete the Table given below:
Three football teams are there. Given below is the
group table. Fill in the x's
Played Won Lost Draw Goals For Goals Against
A 2 2 x x x 1
B 2 x x 1 2 4
C 2 x x x 3 7

Ans: The filled table is given below
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
27. A bird keeper has got P pigeons, M mynas and S
sparrows. The keeper goes for lunch leaving his
assistant to watch the birds.
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?
When the bird keeper comes back, the assistant told
him that x birds have escaped. The keeper realized
that at least 2 sparrows have escaped.
What is minimum no of birds that can escape?
Ans.
28. 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 no 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?
Ans: Second evening: Vikram, Ankur, Abhishek, Amol,
Vasu, Anurag and Bhuwan.
Third evening :Vikram, Anurag, Abhishek, Vasu, Bhuwan,
Ankur, Amol.
29. Two twins have certain peculiar characteristics.
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?
Ans: Today is Tuesday.
30. 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?
Ans: Mr. East took the North Road
Mr. West took the East Road
Mr. North took the South Road
Mr. South took the West Road.
31. A hotel has two wings, the east wing and the west
wing. Some east wing rooms but not all have an ocean
view.
All west wing rooms have a harbor view. The charge for
all rooms is identical, except as follows :
Extra charge for all harbor view rooms on or above the
3rd floor
Extra charge for all ocean view rooms except those
without balcony
Extra charge for some harbor rooms on the first two
floor & some east wing rooms without ocean view but
having kitchen facilities.
Which of the following cannot be determined on the
basis of the information given:
I. Whether there are any rooms without a balcony for
which an extra charge is imposed.
II. Whether any room without a kitchen or a view
involves an extra charge.
III. Whether two extra charges are imposed for any
room.
(A) I only (B) II only (C) III only (D) II and III
only (E) I, II and III
Ans: (A)
32. 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 5, Friday
Out of A, B, C only one made a completely true
statement concerning date, day and month. The other
told two one told the day right and the other the date
right. What is correct date, month, day.
Ans: B - (May 10) SUNDAY , C - June 6 (Friday).
33. Answer the following questions based on the
conditions from the choices A, B, C, D, E as described
below:
(A) if a definite conclusion can be drawn from
condition 1
(B) if a definite conclusion can be drawn from
condition 2
(C) if a definite conclusion can be drawn from
condition 1 and 2
(D) if a definite conclusion can be drawn from
condition 1 or 2
(E) no conclusion can be drawn using both conditions
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 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.
Ans.
b) 1. no of persons telling the truth is greater than
no of persons telling lies
2. person 5 is telling the truth.
Ans.


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.

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.


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 MARRIED .
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.


Q'S

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. ( 2 MARKS )
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 AMOUNT 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.
till paper 10


Thanks to: mack_20032002@yahoo.com