INFOSYS QUESTIONS

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TEST-1

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).

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TEST-2

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? 


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TEST-3

SECTION A

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 5

5. 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.

6. Two trains starting at same time, one from Bangalore to 
Mysore and other in opposite direction arrive at their 
destination 1 hr and 4 hours respectively after passing 
each other. How nuch faster is one train from other?

Ans: Twice

7. There are 6 volumes of books on a rack kept in order ( 
ie 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
8. I bought a car with a peculiar 5 digit numbered licence 
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 readupside down.So on 
rearranging these digits we get the answer as 10968

9. 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

10. Supposing a clock takes 7 seconds to strike 7. How 
mlong will it take to strike 10?

Ans: 10 1/2 seconds.



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TEST-4
Section A

1. Father's age is three years more than three times the 
son's age.
    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?
TEST 5
Section A

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)


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TEST 6
Section A
1. 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      ( Initially   .    x          
x        x 
                                    Now          x-4       
x-4     x-4 )   Equation is   3x-12 = x 

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

3. 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:  O =1, N = 8 ,E = 2, T = 7

4. In a railway station, there are two trains going. One in 
the harbor 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 harbor 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

5. 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 
base 5 )

6. Father's age is three years more than three times the 
son's age. 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. 

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 

12. Two trains starting at same time, one from Bangalore to 
Mysore and other in opposite direction arrive at their  
    destination 1 hr and 4 hours respectively after passing 
each other. How much faster is one train from other?
                Ans: Twice

13. Every day a cyclist meets a train at a particular 
crossing. The road is straight before the crossing and both 
are traveling in the same direction. The cyclist travels 
with a speed of 10kmph. 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: 60kmph  

14. 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                             

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   

16. A survey was taken among 100 people to find their 
preference of watching T. V. programs. 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 
at least channels 1and 3 
at least channels 1 and 2 
at least channels 2 and 3 
Find the no of people who watched all three. 
                Ans. 

17. Two trains start from stations A and B spaced 50kms 
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: 100kms.

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.

19. 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 position 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                   

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. 

21. 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 came, it 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                       

22. 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                                

23. 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.

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. 
32. 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. 

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 

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