***INFOSYS(SURATHKAL)2002***
1)there are 3 vests having 2 drawers each.there are
equal no of red and blue balls.one drawer has both red
and one has both blue coloured balls.some of the
drawers have both red and blue coloured balls.there
are three labels denoted by "RR","BB","RB".what is the
probability that one of the labels is put on the wrong
drawer.
ans:0
2)brother sister problem from shakuntala devi.
ans:brothers =4,sisters=3
3)there are two types of tea one costs 5 bits per
pound another 3 bits per pound.a total of 40 pounds is
taken from the two and sold at a price of 6bits per
pound with a profit of 100/3 % . what was the amount
of 5 bit type in the mixture.
ans:30 pounds
4)a car travels 135 miles in the first two hours and
104 miles in the next two hours.the car is travelling
with uniform deceleration.what is the distance
travelled by the car in the first and the fourth hour.
ans:distances travelled are in AP.
1st hour=48.12miles
4th hour=71.??miles
5)a question on truth and false involving 5people.each
having made three sentences out of which two are true
and one is false.
ans:balu
6)in a party there are 11 people.each of them tinkle
glasses with others.what is the total no of tinkling
of glasses.
ans:11*10/2=55
7)a simple question on set theory.
ans:400(use venn diagram)
8)a question on analogy involving five people.u can
easily get the answer if you analyse the conditions
given.there will be four conditions given.
last subpart was a bit tricky answer was E.
9)there is a murderer,a victim,a witness,police ,judge
and hangman.six names are given.certain conditions are
given and asked to find out what each one of them are.
this question is there in old barrons.
ans:the trick is that the hangman was the last to see
the murderer(felip) alive.
IIT-MUMBAI-INFOSYS(2002)
************************
Q1) If the prices of a commodity go up by 20 % every
odd year and down by
25% every even year, will its price be higher or
lower than what it is
today after 10 years.
Q2) A and B cycle at rate of 6 miles per hour. They
live 36 miles apart.
Once they set out to meet each other Halfway. A has
a pigeon which he
releases as he starts cycling. The pigeon flies back
and forth between the
two of them at a rate of 18 miles per hour. How much
has the pigeon flown
when they meet.
Q3) I have a rope 20 mt. long which I cut randomly
into 2 pieces. These
pieces I then use to make squares. Find out the
probability that :
a) The larger square has at least an area of 9 sq.
m.
b) The total area of 2 squares is more than 20.5 sq
m.
Q4) My friend lives in a house situated in a Colony
having houses 1-82
numbered consecutively. I asked him 3 questions, to
which he answered
truthfully. I was able to guess his house no.
correctly .I cant tell you
the answers but I'll tell you what I asked. Can you
tell me his house no
???
1) Is the no. under 41 ?
2) Is it divisible by 4 ?
3) Is it a Square ?
Tell my friends house no. ?
5) Holmes, Watson and Inspector Lestgrade sit for a
quiz. The quiz had in
all 30 questions and in all there were 45 right
answers were given. The
inspector was able to score only 55% of points
scored by Holmes. Also,
the total no of points secured by Watson and
Lestgrade was 25% more than
that of holmes, how many did they score.
6) Mr. Perkinson travels by SLOWCOACH express. This
particular train
leaves his home town daily at 0900 hrs and reaches
the destination after 3
days of travel at 0930 hrs. The timings for
returning trains are same,
i.e. 0900 hrs and reaching hometown at 0930 hrs.
How many trains does
sees by the same name as he travels to his
destination ?
7) There are three tribes A , B and C. According to
tradation, the women
of A dont marry males of Tribe B. Also Males of
tribe C do not marry women
of Tribe B. Further, in case of children, the son
inherits his father's
tribe while th daughter inherits his mothers'. Based
on this answer which
of the following statements are true.
If a girl of tribe A marries a male of tribe C then
:
a) they cant have a C granddaughter
b) they may have a grandson of tribe B
i) (a) only
ii) (b) only
iii) (a) and (b)
iv) neither
and similer stuff like that,,,,,,,
8) I met 3 girls at a party and I happened to ask
them thier ages by
mistake, Instead of telling me what I sought, they
told me this :
Suman: If Rena is the youngest then I am the oldest.
Rena:
Jyoti: All of us are over 24 yrs.
Rena: Either Suman is 26 or I am 25 or Jyoti is 24
Suman: Mine and Jyoti's age combined exceeds twice
Rena's age by 2.
Jyoti :
them later
They also told me one of them were lying throughout.
I still havent
figured out who was of which age... can you help me
out ???
9) A question about 5 houses of different colours
each having a fellow of
different nationality, drinking his own blend of
ciggerette and drinking
his favorite drink and having a pet of his own
liking.
10 confusing statements of DATA ... giveup, cant
remember.. and 3 parts..
like a) who owns the zebra b) which house serves
coffee c) the englishman
lived where ???
--------------------------------
Writing Skill: Write an essay of about 200 words on
any one of the
following topics.
1) Smoking should be allowed in public places.
((yes/no)+why?)
2) I want to live in a
***INFOSYS(MNR,
there r 2 parts 1 is apti( 60 min) and 2 is essay ( 15 min)
topic of essay
1. IT in entertainment industry
or
2. profit at the cost of quality
APTITUDE part
( total 50 marks) 60 min time.
1) THERE ARE 111 PLAYERS.EACH ONE IS REMOVED AFTER LOSING A
MATCH.
IN EACH MATCH A NEW BALL IS USED.SO HOW MANY BALLS WILL BE USED.
110 BALL(ANS).( 3 mark)
2) THERE IS A WINDOW.ONE SPIDER WEBS AS MUCH AS HE HAD COVERED
BEFORE.
IT TAKES HIM 30 DAYS TO COVER THE TOTAL WINDOW. SO HOW MANY DAYS
IT
WIL TAKE TO COVER THE WINDOW FOR TWO SPIDERS IF THEY WORK
SIMULTANEOUSLY.
(ANS)29 ( 3 mark)
3) THERE ARE THREE CHILDREN.THE PRODUCT OF THEIR AGE IS 36. ...
THE ANSWER IS 9,2,2.( 4 mark)
4) THE QUESTION OF TIE .THE ANSWER IS 6. ( 4 mark)
5) THE QUESTION OF CRICKET MATCH IN BETWEEN
WESTINDIES.
THE ANSWER IS BEDI-2, VENKATRAGHAVAN-3, PRASANNA-4.( 6 mark)
6) IT IS THE PROBLEM ON VENN DIAGRAM .IT IS PURELY MATHEMATICAL
BASED
ON SET THEORY. YOU ALL CAN SOLVE IN THE FIRST ATTEMPT.VENNN
DIAGRAM
DOES NOT MEAN THAT THERE WILL BE ANY DIAGRAM.THE PAPER IS BASED
ON
NEWSPAPERS.WHO READS WHICH NEWS PAPER.THE ANSWER IS 20%, 0% ,5%,
5%.( 6 mark)
7) there r 5 persons and there descriptions r given. u have to
identify what r their houses along with their
ages and names.( 8 mark)
the answers came in the order of 56
58
60
62
64.
8) the 8th question came in old infy papers. go thru them.it was
somethin like this.
4 persons gave descriptions of a thief such as one says
1)thief is tall, wore a vest , wore a hat, had blue eyes
2) thief is medium -sized, no hat , a raincoat , green
eyes
3) thief is short, hat, no vest, yellow eyes.
4) thief is tall, grey eyes etc.
but each of the 4 gave only one true characteristic of the
thief.
u have to identify the thief's contents.( 8 mark)
9) there was a question on P,Q,R,S etc . one is to the left and as
such. u canrefer BARON
for this question. ( 8 mark)
i the cut off was strict at 68%, they shortlisted 74 guys . 16
from tronix, 15 in compcee
16 in trical.
there were 4 panels . the interview was dame cool.simple
questions on
why join infy? higher studies? 2 puzzles to solve in front of
them. they r seein the approach
on
ANOTHER SET
1] My son's age is 5 times my daughter;s age. My wif'es age is 5 times my son's age. I am twice my wife's age. And the grandmother whose age is the combines age of all us is celebrating her 81 st B'day today. wht is my son's age. (ans = 5yrs)
2] I have set 2 watches at the same time. After one I found tha one watch is exactly 2 mins faster & the other is exactly 2 mins slower. After some time I found tht both the faster watch was exactly 1 hour aheade of the slower watch. For how long have been the watches running? 3/4 mks
3] in a city the population is 500000. Of this 42% males & 28 % females always nmarry the ppl of their own caste. Find out the no of males which marry women of other caste? 3/4 mks
4] Then one prob from Puzzles to Puzzle u ( Shakuntala devi) problem no 15. 4 mks.
5] Then there was one problem on probability, I don't remember. 4 mks
6] One big problem on sitting arrangement but it was simple. 8 mKs.
7] There r 2 men James, Davis and 2 women Martha & Jane. Of these one is a doctor, one is magistrate, one is a lawyer, one is a private detective. All four are sitting round a table. Following conditions must be satisfied. 7 Mks.
a) the doctor is on the left of Martha, b) James sits across the Magistrate c) Jane &
d) There is a women on the left of the lawyer. Find out who is the Private Detective. (Ans Might be Martha, I am not sure) .
these are all I can remember.I cud not complete the paper so I did not get selected. So I have lost at INFOSYS. But U better don't. Give in u'r best shot. Well I am not sure whether u will also get the same paper. Anyways I lost a very good opportunity, so don't want someone else to lose it too
he prices of a commodity go up by 20 % every odd year and down by 25% every even year, will its price be higher or lower than what it is today after 10 years.
Q2) A and B cycle at rate of 6 miles per hour. They live 36 miles apart.Once they set out to meet each other Halfway. A has a pigeon which he releases as he starts cycling. The pigeon flies back and forth between the two of them at a rate of 18 miles per hour. How much has the pigeon flown when they meet.
Q3) I have a rope 20 mt. long which I cut randomly into 2 pieces.
These pieces I then use to make squares. Find out the probability that :
a) The larger square has at least an area of 9 sq. m.
b) The total area of 2 squares is more than 20.5 sq m.
Q4) My friend lives in a house situated in a Colony having houses 1-82 numbered consecutively. I asked him 3 questions, to which he answered truthfully. I was able to guess his house no. correctly .I can’t tell you the answers but I'll tell you what I asked. Can you tell me his house no?
1) Is the no. under 41 ?
2) Is it divisible by 4 ?
3) Is it a Square ?
Tell my friends house no. ?
5) Holmes, Watson and Inspector Lestgrade sit for a quiz. The quiz had in all 30 questions and in all there were 45 right answers were given. The inspector was able to score only 55% of points scored by Holmes. Also, the total no of points secured by Watson and Lestgrade was 25% more than that of holmes, how many did they score.
6) Mr. Perkinson travels by SLOWCOACH express. This particular train leaves his home town daily at 0900 hrs and reaches the destination after 3 days of travel at 0930 hrs. The timings for returning trains are same,i.e. 0900 hrs and reaching hometown at 0930 hrs. How many trains does sees by the same name as he travels to his destination ?
7) There are three tribes A , B and C. According to tradation, the women of a don’t marry males of Tribe B. Also Males of tribe C do not marry women of Tribe B. Further, in case of children, the son inherits his father's tribe while th daughter inherits his mothers'. Based on this answer which of the following statements are true.
If a girl of tribe A marries a male of tribe C then :
a) they cant have a C granddaughter
b) they may have a grandson of tribe B
i) (a) only
ii) (b) only
iii) (a) and (b)
iv) neither
and similar stuff like that,,,,,,,
8) I met 3 girls at a party and I happened to ask them their ages by mistake, Instead of telling me what I sought, they told me this :
Suman: If Rena is the youngest then I am the oldest.
Rena:
Jyoti: All of us are over 24 yrs.
Rena: Either Suman is 26 or I am 25 or Jyoti is 24
Suman: Mine and Jyoti's age combined exceeds twice Rena's age by 2.
Jyoti :
They also told me one of them were lying throughout. I still haven’t
figured out who was of which age... can you help me out ???
9) A question about 5 houses of different colours each having a fellow of different nationality, drinking his own blend of cigarettes and drinking his favorite drink and having a pet of his own liking.
10 confusing statements of DATA ... giveup, cant remember.. and 3 parts.. like a) who owns the zebra b) which house serves coffee c) the Englishman lived where ???
--------------------------------
Writing Skill: Write an essay of about 200 words on any one of the following topics.
1) Smoking should be allowed in public places. ((yes/no)+why?)
2) I want to live in a Big City. ((yes/no)+why?)
just remember father of nation on the 55TH independence day;
best of luck 2 all,bye *********************************************************************
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set 1
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This is infosys...
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1) There are two balls touching each other circumferentially. The radius of the big ball is 4 times the diameter of the small ball.The outer small ball rotates in anticlockwise direction circumferentially 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.
2) 1 2 3 4
+ 3 4 5 5
----------
4 6 8 9
- 2 3 4 5
----------
2 3 4 4
+ 1 2 5 4
------------
3 6 9 8
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 No.s to get the same 2 digit No. perform the same process again with 1 digit No.s. Give the ' no.s in 7 rows at
each stage.
3) There is a safe with a 5 digit No. 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.
4) There are 2 guards Bal and Pal walking on the side of a wall of a wear house(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.
5) xxx)xxxxx(xxx
3xx
-------
xxx
x3x
------
xxx
3xx
------
Q) Find the 5 digit No.
Hint: 5 is used atleast once in the calculation.
6) Afly 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.
7) Ramesh sits 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.
8) Question related to probabilities of removing the red ball from a basket, given that two balls are removed from the basket and the other ball is red. The basket contains blue,red,yellow balls.
9)Venkat has 1boy&2daughters.The product of these children age is 72. The sum of their ages give the door number of Venkat.Boy is elder of three. Can you tell the ages of all the three.
ANALYTICAL
----------
1)L:says all of my other 4 friends have money
M:says that P said that exact one has money
N:says that L said that precisely two have money
O:says that M said that 3 of others have money.
P:Land N said that they have money.
all are liers.Who has money & who doesn't have?
2)A hotel has two,the east wing and the west wing. some east wing rooms but not all have an ocean view(OV).All WW have a harbour view(HV).The charge for all rooms is identical, except as follows
* Extra charge for all HV rooms on or above the 3rd floor
* Extra charge for all OV rooms except those without balcony
* Extra charge for some HV rooms on the first two floor&some EW rooms without OV but having kitchen facilities. (GRE model Test 3-question
1J-22)
3)Post man has a data of name surname door no. pet name of 4 families. But only one is correct for each family.There are a set of statements &questions.
4)4 couples have a party.Depending on the set of statements, find who insulted whom and who is the host of the party.
5)5 women given some of their heights(tall,medium,short) Hair(long,plainted), stards (Black or Brown), sari,2 medium,2-short.Tall- no sari.Plainted- medium.Answer the combinations.
1) A person has to go both Northwards&Southwards in search of a job.He decides to go by the first train he encounters. There are trains for every 15 min both southwards and northwards. First train towards south is at 6:00 A.M. and that towards North is at 6:10 .If the person arrives at any random time,what is the probability that he gets into a train
towards North.
2) A person has his own coach&whenever he goes to railway station he takes his coach. One day he was supposed to reach the railway station at 5 O’clock. But he finished his work early and reached at 3 O'clock. Then he rung up his residence and asked to send the coach immediately. He came to know that the coach has left just now to tje railway station.He thought that the coach has left just now to the railway station. He thought that he should not waste his time and started moving towards his residence at the speed of 3mi/hr.On the way, he gets the coach and reaches home at 6 o’clock. How far is his residence from railway station.
3)Radha,Geeta&Revathi went for a picnic. After a few days they forgot the date,day and month on which they went to picnic.Radha said that it was onThursday,May 8 and Geeta said that it was Thursday May 10.Revathi said Friday Jun 8.Now one of them told all things wrongly, others one thing wrong and the last two things wrongly. If April 1st is Tuesday what is the right day, date and month?
INFOSYS
There are 5 q papers with them. This is only one of those. All others were more or less of the same model but different qs. This is just to give U an idea.
The questions are not in order.
1)A,B,C,D,E related.4 of them made these statements each.
i)C is my son in law's brother.
ii)B is my father's brother.
iii)E is my mother in law.
iv)A is my brother's wife.
who made these statements?(person mentioned is one of A,B,C,D,E)(10 mar
ks).
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 relation
.use venn diagram.(5 marks).
3) complete the table.
Played won lost draw goals
for against
A 2 2 1
B 2 1 2 4
C 2 3 7
A,B,C are 3 hockey teams.(2 marks).
A says Party was held on: Thursday ,May 8th.
B says Party was held on: Tuesday, May 10th.
C says party was held on: Friday ,June 8th.
Given April 1 st was Tuesday. one of A,B,C says 1 correct. one says 1wrong. and one was completely wrong of date, Month and day. Find the day the party held. (5marks).
5) A ship is away from the shore by 180 miles. A plane is travelling at 10 times speed of the ship. How long from the shore will they meet?(2marks)
6) Every station in N railroad issue everyother station's ticket.Some stations are added. Now they have to issue 46 more tickets. Say the No. of stations after and before added.(5 marks).
7) 3 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?
(5 marks).
8) A clock showing 6 o'clock takes 30 secs to strike 6 times. How long will it take to strike 12 at midnight?Ans.66 secs.(2marks)
9) Only boys aged > 16 wear coats.
Boys aged > 15 go to watch football.some more statements are given.
What can be said about those who are watching football ? (age and costume)(5 marks).
10) There are 3 societies A, B, C having some tractors each.
A Gives B and C as many tractors as they already have.
After some days B gives A and C as many tractors as they have.
After some days C gives A and B as many tractors as they have.
Finally each has 24 tractors. What is the original No. of
tractors each had in the beginning?
Ans.A -39.
B- 21.
C- 12. (7 marks).
11) 4, 5 statements. From that find the answer.(7 marks).
Reference books
1.) Puzzles and teasers by summer's
2.) Shakuntala Devi. (Puzzles).
INFOSYS QUESTION (1997)
10 Questions. Time 90 min.
1. There are twelve consecutive flags at an equal interval of distance.A man passes the 8th flag in 8 seconds. How many more seconds will he take to pass the remaining 4 flags?
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.
3. A boat M leaves shore A and at the same time boat B leaves shores B. They move across the river. They met at 500 yards away from A andafter that they met 300 yards away from shore B without halting at shores. Find the distance between the shore A & B.
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?
5. Food grains are to be sent to city from godown. Owner wants to reach the food grains at 11 O' Clock in the city. If a truck travels at a speed of 30km/hr then he will reach the city one hour earlier. If the truck travels at a speed of 20km/h then he will reach the city
one hour late. Find the distance between the godown to city. Also with which speed the truck should travel in order to reach at exactly 11 'O clock.
6. There are two tribes living in village. These two tribes are sachha and jothaa. A person went there to interview a group of five people in the village. Sachha always speaks truth whereas jootha speaks invariably lie. Interview taken are :
villager 1 : More of us are sachaa then jothaa.
villager 2: More of us are jootha then sachaa.
villager 3: Only two of us are sachaa.
villager 4: only three of us are jothaa.
villager 5: I am a sachaa.
then identify the villagers who were the sachaa and who were joothaa.
7. Praveen,Ranjan,Shiva went to dinner in the city. (There were some conditions given as someone always take tea after dinner where as some take cofee after dinner whereas someones choice is inspired by the choise of others. One question of this type is given
given in the MIND TEASURES -By Summers.) Ans: Ranjan & Shiva
8. There are five persons A,B,C,D,E whose birthdays occur at the consecutive days. Birthday of A is some days or day before C & birthday of B is exactly the same days or day after E. D is two days older than E. If birth day of C is on Wednesday then find out the birthdays of other.
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set 3
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Paper consists of two sections: 1. analytical (20 marks) 2. C skills (20 marks) total time 45 min
Analytical:
-------------
1. Given a cube, with different colors on its faces, and then is cut into 64 pieces, and the questions relate to the colors of differentcoloured small cubes.
2. A few ladies and gents sit around table in some given order and 4 questions are about their seating arrangement with some restrictions.
3. Draw a Venn diagram for 3 items: white, flowers, cloth
Ans : draw 3 circles each intersecting the other , with white kept in the middle.
4. A problem related to seating arrangement of 4 people (2 ladies and 2 gents) with some restrictions
5. Problem related to milk with water added to it for three times
Ans: 20.5 litres
6. Problem related to diagrams. Five diagrams were given and asked to find the sixth one.
C-Skills:
--------
1. Max number of nodes in a binary tree with height 3 is 20 : Ans: False
2. 10,20,30,40,50,60 : give the order when put in a queue and in a stack
Ans : Queue : 10,20,30,40,50,60
stack : 60,50,40,30,20,10
3. Debugging is the process of finding
Ans : logical and runtime errors
4. Trace the error:
void main (){
int &a;
/* some other stuff here */
}
Ans: syntax error
5. a problem with a function named 'my Value' will be given and asked to find the value of main() for an argument of 150,
Ans : 150
6. Some problems related to 'for' loops.
7. Problem on conditional inclusion.
8. Problem related to depth first and breadth first search (DSA subject)
9. study the syntax of mellow function
10. Locate the error
int arr (20);
Ans: syntax error.
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set 4
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INFOSYS
========
PART 1
1). A beggar collects cigarette stubs and makes one ful cigarette with every 7 stubs. Once he gets 49 stubs. How many cigarettescan he smoke totally? Ans. 8
2). A soldier looses his way in a thick jungle at random walks from his camp but mathematically in an interesting fashion.First he walks one mile east then half mile to north. Then ¼ mile to west, then 1/8 mile to south and so on making a loop. Finally hoe far he is from his camp and in which direction. ans: in north and south directions
1/2 - 1/8 + 1/32 - 1/128 + 1/512 - and so on
= 1/2/((1-(-1/4))
similarly in east and west directions
1- 1/4 + 1/16 - 1/64 + 1/256 - and so on
= 1/(( 1- ( - 1/4))
add both the answers
3). hoe 1000000000 can be written as a product of two factors neither of them containing zeros.Ans 2 power 9 x 5 power 9 ( check the answer )
4). Conversation between two mathematicians:
first : I have three children. Threw 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 verifies the door number and says that the not sufficient. Then the first says " o.k one more clue is that my youngest is the youngest" Immediately the second mathematician answers . Can you answer the question asked by the first mathematician? What are the children ages? ans 2 and 3 and 6
5). Light glows for every 13 seconds. How many times did it between 1:57:58 and 3:20:47 am
ans : 383 + 1 = 384
6. 500 men are arranged in an array of 10 rows and 50 columns. ALL tallest among each row 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 longest among them is B . Now who is taller among A and B?
ans A
7). A person spending out 1/3 for cloths , 1/5 of the remaining for food and 1/4 of the remaining for travelles is left with Rs 100/- . How he had in the begining ?
ans RS 250/-
8). There are six boxes containing 5 , 7 , 14 , 16 , 18 , 29 balls of either red or blue in colour. Some boxes contain only red balls and others contain only blue. One sales man sold one box out of them and then he says “I have the same number of red
balls left out as that of blue ". Which box is the one he sold 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 lengths 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 ?
Ans : 2.
10). Grass in lawn grows equally thickened in a uniform rate. It takes 24 days for 70 cows and 60 for 30 cows. How many cows can eat away the same in 96 days?
Ans : 18 or 19
11). There is a certain four digit number whose fourth digit is twice the first digit.
Third digit is three more than second digit. Sum of the first and fourth digits twice the third number.What was that number?
Ans : 2034 and 4368
If you qualify in the first part then you have to appear for the second i.e. the following part.
Part 2.
1. From a vessel on the first day, 1/3rd of the liquid evaporates. On the second day 3/4th of the remaining liquid evaporates. What fraction of the volume is present at the end of
the II day.
2. An orange glass has orange juice. And white glass has apple juice. Both equal volume 50ml of the orange juice is taken and poured into the apple juice. 50ml from the white glass is poured into the orange glass. Of the two quantities, the amount of apple juice in the orange glass and the amount of orange juice in the white glass, which one is greater and by how much?
3. There is a 4 inch cube painted on all sides. This is cut into no of 1 inch cubes. What is the no of cubes which have no pointed sides.
4. Sam and mala have a conversation. Sam says i am 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 hold are they really.
5. Ram Singh goes to his office in the city, every day from his suburbun house. his driver mangalram 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. Mangalram also reaches at the same time. one day ramsingh started early from his office and came to the station at 4 o'clock. Not wanting to wait for the car he starts walking home. Mangalram
starts at normal time, picks him up on the way and takes him back house, half an hour early. How much time did ram singh walk.
6. in a railway station, there are tow trains going. One in the harbour line and one in the main line, each have a frequency of 10 minutes. The main line service starts at 5 o'clock. The harbour line starts at 5.02a.m. a man goes to the station every day to catch the first train. What is the probability of man catching the first train
7. some people went for vacation. Unfortunately it rained for 13 days when they were there. But whenever it rained in the morning, they had clean afternoon and vice versa. In all they enjoyed 11 morning and 12 afternoons. How many days did they
stay there totally
8. escalator problem repeat
9. a survey was taken among 100 people to firm their preference of watching t.v. programmes. There are 3 channels. Given no of people who watch at least channel 1
" " 2 " " 3 no channels at all ;atleast channels 1and 3 ;" " 1 and 2 " " 2 and 3 .find the no of people who watched all three.
10. Albert and fernandes they have two legs swimming race. Both start from opposite and of the pool. On the first leg, the boys pass each other at 18 mt from the deep end of the pool. During the II leg they pass at 10 mt from the shallow end of the pool. Both go at const speed. but one of them is faster. Each boy rests for 4 sec to see at the end of the i leg. What is the length of the pool?
11. T H I S Each alphabet stands for one I S digit, what is the maximum value T
-------------- can take
X F X X
X X U X
--------------
X X N X X
--------------
1.. An escalator is descending at constant speed. A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps. How many steps are visible when the escalator is not operating.
2. 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. 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?
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 I or middle name of Kumar, 3 persons with Mohan, 2 persons withdrew and 1 anil.--Either mukherjee and patil have a I or middle name of dev or misra and iyer have their I or middle name of dev --of mukherkjee and 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 of Sharma has a I or middle name of Kumar hut not both. Who has the I or middle name of anil
4. Reading comprehension
5. A bird keeper has got Pigeon, M mynas and S sparrows. The keeper goes for lunch leaving his assistant to watch the birds.
a. suppose p=10, m=5, s=8 when the bird keeper comes back, the assistant informs the x birds have escaped. The bird keeper exclaims oh no! All my sparrows are gone. How many birds flew away?
b. when the bird keeper come back, the assistant told him that x birds have escaped. the keeper realized that atleast2 sparrows have escaped. What is minimum no of birds that can escape?
6. Select from the five alternatives A, B, C, D, E
AT THE end of each question, two conditions will be given.
The choices are too filled at follows.
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
1. person 1 says N<5
person says n>5
person 3 says 3N>20
person 4 says 3n>10
person 5 says N<8
what IS value of N
a) 1. no of persons who speak false being less than no of persons who tells the truth.
2. Person 2 is telling the truth.
b) 1. no of person 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 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
--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,>
8. Two turns 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
answers for selected questions
2. Equal 1. 150
3. 8 2. 60 kmph
4. 37(M),41(S) 3. Mukherjee
5. 45 min. 8. today is Tuesday
6. 0.8
7. 18
11. T max value = 4
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set 5
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INFOSYS 1997. TIME 1hr.
PAPER CODE Q/A. marks 50.
--------------------------------------------------------------
1)At 6'o clock clock ticks 6 times. The time between first and last ticks was 30sec. How much time it takes 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 no.of remaining bullets is equal to that of one has after division. Find the original number divided.
Ans. x x x
x-4 x-4 x-4
3x-12 = x
x= 6
ans is 18 2 marks
3)A ship went on a voyage after 180 miles a plane started with 10 times speed that of the ship. Find the distance when they meet from starting point.
Ans. 180 + (x/10) = x
x = 20
ans is 180+20=200miles. 2 marks
4) Fill the empty slots.
Three FOOTBALL teams are there. Given below the list of matches.
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.)`
5) There are 3 societies a,b,c. a lent tractors to b and c as many as they had. 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 tractors each originally had.
Ans a had 39, b had 21, c had 12, 4 marks
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
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 8, Friday
Out of a,b,c one is only correct one of the regarding month,day,date.
Other told two correct and the third person told all wrong.What is
correct date,month,day. 5 marks
(ans may be MAY 10 SUNDAY. check once again)
8)There are 4 parties. df,gs,dl(deposit loss),ew ran for a contest.
Anup,Sujit,John made the following statements regarding results.
Anup said either df or ew will definitely win
sujit said he is confident that df will not win
John said he is confident that neither ew nor dl will win
the result has come. only one of the above three has made a correct
statement. Who has made the correct statement and who has won
the contest. 5 marks.
(ans DL )
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.
10) All members of d are also members of a
All '' e '' d
all '' c '' both a and b
not all '' a are members of d
not all '' d '' e
Some questions on these conditions.(5questions 5 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 umbrella or above 16 or both cannot wear sweater.
v) boys must either not watch football or wear sweater.
What is the appearance of the boy who is watching football?
Try to solve this question................
YOU HAVE TO DO SOME ROUGH WORK FOR EACH QUESTION. IT WILL
CARRY SOME GRACE MARKS.
INFOSYS PAPER 1997.
+++++++++++++++++++++++++++++++++++++++++++++=
PAPER CODE Q/C.
1a) BE * BE = ACB
A, B,C,E ARE NON ZERO NUMBERS FIND B,E.
ANS) B=1 E=9
2) A,B,C,D,E ARE HAVING NUMERICAL VALUES. THERE ARE SOME CONDITIONS
GIVEN
a) A=C <===> B!=E
b) DIFFERENCE BETWEEN A AND C AS SAME AS DIFFERENCE BETWEEN C AND B
AS SAME AS DIFFERENCE BETWEEN A AND D
c) CD
THEN FIND A, B,C,D,E
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 POSSOBILITY TO GET AT LEAST ONE KING.
b) WHAT IS THE POSSIBILITY TO GET TWO KINGS?
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
ans) 1-->50 4--->10P 1--->25P
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.
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
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.
8) 1/3 ED OF THE CONTENTS OF A CONTAINER EVAPORATED ON THE 1 ST DAY.
3/4 TH OF THE REMAINING CONTENTS OF THE CONTAINER EVAPORATED THE
SECOND DAY. WHAT PART OF THE CONTENTS OF THE CONTAINER ARE LEFT AT
THE END OF THE SECOND DAY.
9) A MAN COVERED 28 STEPS IN 30 SECONDS BUT HE DECIDED TO MOVE FAST AND
COVERED 34 STEPS IN 18 SECONDS. HOW MANY STEPS ARE THERE ON THE
ESCALATOR WHEN STATIONARY.
10) ALL FAIR SKINNED, RICH, HANDSOME, MUSCULAR, LEAN AND EMPLOYED ARE
TALL MEN
1) ALL LEAN MEN ARE MUSCULAR.
2) NO FAIRSKINNED PERSON WHO IS NOT RICH IS HANDSOME.
3) SOME MUSCULAR MEN ARE HANDSOME.
4) ALL HANDSOME ARE FAIRSKINNED.
5) NO PERSON WHO IS NEITHER FAIR SKINNED NOR MUSCULAR IS ENPLYED.
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set 6
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Infosys
1. A person was collecting end pieces of Cigarettes. He was managed tocollect 49
pieces. We need 7 such pieces to make new one. So how many Cigarettes he can
make? (2marks)
2. A person moving from a place (camp)., towards East one mile, then towards North
half mile, towards West 1/4 the mile, towards South 1/8th mile and again towards East 1/16th mile and so on. That is the distance between him and the starting point. (3marks)
3. 500 men were arranged in 10 rows and 50 columns. They picked the oldest person from each row and the tallest of these persons is 'A'. They replace them in their places and again picked tallest person from each column and the shortest of these persons is 'B'. Assume A & B are different people. Who is the tallest person among A & B? (5marks)
4. The product of two nonzero numbers is 1,000,000,000. What are the numbers? (5marks)
5. There is Mathematician. He met his friend and asked about his children.His friend told in the form of a problem that he has three children. The product of their ages is 36. The addition of their ages is the door number of his left side house. Mathematician went and checked the door number He told that the clues are not sufficient. He gave another clue that is his younger daughter is clearly younger. What are their ages? (6marks)
6. There is a light glows in the interval of 13 sec. It glows first at one hour 54 minutes 50 seconds and the last glow is at 3 hour 17 minute and 49 seconds. How many times is that light glow, with in these two times?(2marks)
7. After spending 1/3 of money and then 1/4th of what remained and finally1/5th
of what remained, I found that I had Rs.100/- left. How much money I had at first? (3marks)
8. A Black Smith was given a chain torn into equal sections of 3 links each and asked to fix it. How many links (minimum) would he has to open up and refroze? (1 mark)
9. There are six boxes, of which some boxes contain only red balls and some other
boxes contain only Black balls. The number of balls in six different boxes are
5,6,12,14,23,and 29. If he sells
Another Set:
************
1. 1/3rd liquid in a container evaporates in first day. In the second day 3/4th
remaining evaporates. How much is left over at the end of second day?
2. First person: I am sure you are at least 40 years old and I am 5 years younger than you.
Second person: I am 35 and you are at least 5 years elder than me. None of these persons spoke truth. What are their ages?
3. Orange cup has Orange Juice. White cup has apple Juice. %0 ml of Orange Juice is taken and mixed with Apple Juice. From that mixture 50 ml is taken and poured into Orange cup. Now whether apple Juice in Orange Cups more or Orange Juice in White cup is more and by what amount?
4. Ms. Sheila goes her home by car from Station. Her driver comes and picks her up daily at 5.00 p.m. One day Sheila arrives at Station one hour earlier and starts walking towards home. On the way driver picked her up. By this they reached home 30 minutes earlier. For how long she was walking?
5. Some students went on a trip to Goa in holidays. Unfortunately it rained on some days. In a surprising manner if it rained in the morning, they had a good afternoon and vice versa. They had 11 morning visits and 12 afternoon visits. Altogether it rained for 13 days during their stays. What is the duration of Holidays?
6. A survey was conducted for 100 people by Door Darshan
1. 44 people watched channel I
2. 43 " " " II
3. 27 " " " III
4. 17 " " " I & II
5. 14 " " " I &III
6. 13 " " " II & III
7. 23 watched none.
How many watched I II & III ?
7. Two Swimmers at different rate but at constant Speed were swimming. They met at 18 meters from deep end. Both swimmers took rest for 4.5 seconds. During their return they crossed at 10 meters from ashore end. What is the length of the pool ?
8. Mr. Raj goes to Office by Train. First train in Main line Starts at 5:02:0. In Harbour Line it starts at 5:10:0. Every Ten minutes there is one train. What is the probability that Raj travels in harbour line at a random time of Driving the Station?
