Infosys Placement Papers

PAPER 8:

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) C < A AND C > D
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.
VI.
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.
6) we unable to recall this condition and question also incomplete.
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PAPER 9:

This paper contains INFOSYS interview questions.

1> S: Satch J:Jute ANS
person1: Most of us are satch J
person2:Most of us are jute S
person3:Two of us are satch J
person4: Three of us are jute J
person5:I am satch J
we have to find who is satch and who is jute.

2> Four persons are three to cross a bridge they have one torch light
one person A can cross in 1 min
person B can cross in 2 min
person C can cross in 5 min
person D can cross in 10 min
They have to cross bridge with in 17 min.
At a time only two persons can cross
I A&B ----> 2
II A <----1
III C&D ---->10
IV B <----2
V A&B ---->2
__________
Total 17

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

4> What is the maximum number of slices can you obtain by cutting
a cake with only 4 cuts?
ANS: 16

5> Three are three boxes ,
In one box Two white balls
In two box 2 black balls
In three box 1 white &1 black
The lables on the boxes are not correct.Then you have to open
one box and to find the colour of the balls in all boxes.

Solution: Open the box labled black& white
If white balls are there then the box labled with white balls
contain black balls and labled with black balls contain one
black and one white ball and viceversa if two black ballsare there.


PAPER 10:

1)A begger collects cigarette stubs and makes one ful cigarette with every 7 stubs. Once he gets 49 stubs . How many cigarettes can he smoke totally.?
Ans. 8
2). A soldiar looses his way in a thick jungle at random walks from his camp but mathematically in an interestingg fashion.First he walks one mile east then half mile to north. Then 1/4 mile to west, then 1/8 mile to south and so on making a loop. Finally hoe far he is from his camp and in which direction. ans: in north and south directions
1/2 - 1/8 + 1/32 - 1/128 + 1/512 - and so on
= 1/2/((1-(-1/4))
similarly in east and west directions
1- 1/4 + 1/16 - 1/64 + 1/256 - and so on
= 1/(( 1- ( - 1/4))
add both the answers

3). how 1000000000 can be written as a product of two factors neither of them containing zeros
Ans 2 power 9 x 5 ppower 9 ( check the answer )



4). Conversation between two mathematcians:
first : I have three childern. Thew pproduct of their ages is 36. If you sum their ages . it is exactly same as my neighbour's door number on my left. The sacond mathematiciaan verfies the door number and says that the not sufficient. Then the first says " o.k one more clue is that my youngest is the youngest" Immmediately the second mathematician answers . Can you aanswer
the questoion asked by the first mathematician?
What are the childeren ages? ans 2 and 3 and 6

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

6). 500 men are arranged in an array of 10 rows and 50 columns. ALL tallest among each row aare asked to fall out. And the shortest among THEM is A. Similarly after resuming that to their originaal podsitions that the shorteest among each column are asked to fall out.
And the longest among them is B . Now who is
taller among A and B ? ans A

7). A person spending out 1/3 for cloths , 1/5 of the remsaining for food and 1/4 of the remaining for travelles is left with Rs 100/- . How he had in the begining ?
ans RS 250/-

8). there are six boxes containing 5 , 7 , 14 , 16 ,18, 29 balls of either red or blue in colour. Some boxes contain only red balls and others contain only blue . One sales man sold one box out of them and then he says " I have the same number of red balls left out as that of blue ". Which box is the one he solds
out ? Ans : total no of balls = 89 and (89-29 /2 = 60/2 = 30
and also 14 + 16 = 5 + 7 + 18 = 30




9) A chain is broken into three pieces of equal lenths conttaining 3 links each. It is taken to a backsmith to join into a single continuous one . How many links are to to be opened to make it ?
Ans : 2.

10). Grass in lawn grows equally thickand in a uniform rate. It takes 24 days for 70 cows and 60 for 30 cows . How many cows can eat away the same in 96 days.?
Ans : 18 or 19

11). There is a certain four digit number whose fourth digit is twise the first digit.Third digit is three more than second digit.Sum of the first and fourth digits twise the third number.What was that number ?
Ans : 2034 and 4368

1. From a vessel on the first day, 1/3rd of the liquid evaporates. On the second day 3/4th of the remaining liquid evaporates. what fraction of the volume is present at the end of the II day.
2. an orange galss has orange juice. and white glass has apple juice. Bothe equal volume 50ml of the orange juice is taken and poured into the apple juice. 50ml from the white glass is poured into the orange glass. Of the two quantities, the amount of apple juice in the orange glass and the amount of orange juice in the white glass, which one is greater and by how much?

3. there is a 4 inch cube painted on all sides. this is cut into no of 1 inch cubes. what is the no of cubes which have no pointed sides.

4. sam and mala have a conversation. sam says i am vertainly not over 40. mala says i am 38 and you are atleast 5 years older than me. Now sam says you are atleast 39. all the sattements by the two are false. How hold are they realy.

5. ram singh goes to his office in the city, every day from his suburbun house. his driver mangaram drops him at the railway station in the morning and picks him up in the evening. Every evening ram singh reaches the station at 5 o'clock. mangaram also reaches at the same time. one day ramsingh started early from his office and came to the station at 4 o'clock. not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back
house, half an hour early. how much time did ram singh walk.
6. in a railway station, there are tow trains going. One in the harbour line and one in the main line, each having a frequency of 10 minutes. the main line service starts at 5 o'clock. the harbour line starts at 5.02a.m. a man goes to the station every day to catch the first train. what is the probability of man catchinhg the first train7. some people went for vaction. unfortunately it rained for 13 days when they were there. but whenever it rained in the morning, they had clean afternood and vice versa. In all they enjoyed 11 morning and 12 afternoons. how many days did they stay there totally
8. exalator problem repeat 9. a survey was taken among 100 people to firn their preference of watching t.v. programmes. there are 3 channels. given no of

people who watch
at least channel 1
" " 2
" " 3
no channels at all
atleast channels 1and 3
" " 1 and 2
" " 2 and 3
find the no of people who watched all three.

10. albert and fernandes they have two leg swimming race. both start from opposite and of the pool. On the first leg, the boys pass each other at 18 mt from the deep end of the pool. during the II leg they pass at 10 mt from the shallow end of the pool. Both go at const speed. but one of them is faster. each boy rests for 4 sec to see at the end of the i leg. what is the length of the pool.11. T H I S Each alphabet stands for one
I S digit, what is the maximum value T
-------------- can take
X F X X
X X U X
--------------
X X N X X
--------------

1. an escalator is descending at constant speed. A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps. how many steps are visible when the escalator is not operating.
2. every day a cyclist meets a train at a particular crossing. the road is straignt before the crossing and both are travelling in the same direction. cyclist travels with a speed of 10 Kmph. One day the cyclist comes late by 25 min. and meets the train 5km before the crossing. what is the seppd of the train.
3. five persons muckerjee, misra, iyer, patil and sharma, all take then first or middle names in the full names. There are 4 persons having I or middle name of kumar, 3 persons with mohan, 2 persons withdev and 1 anil.
--Either mukherjee and patil have a I or middle name of dev or misra and iyer have their I or middle name of dev
--of mukherkjee and misre, either both of them have a first or middle name of mohan or neither have a first or middle name of mohan--either iyer of sharma has a I or middle name of kumar hut not both.who has the I or middle name of anil

4. reading 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 assistand told him that
x birds have escaped. the keeper realised that atleast2 sparrows
have escaped. what is minimum no of birds that can escape.
6. select from the five alternatives A,B,C,D,E
AT THE end of each question ,two conditions will be given.
the choices are to filled at follows.
a. if a definete conclusion can be drawn from condition 1
b. if a definete conclusion can be drawn from condition 2
c. if a definete conclusion can be drawn from condition 1 and 2
d. if a definete conclusion can be drawn from condition 1 or 2
e. no conclusion can be drawn using both conditions
1. person 1 says N<5
person says n>5
person 3 says 3N>20
person 4 says 3n>10
person 5 says N<8
whaT IS value of N
a) 1. no of persons who speak false being less than no of persons
who tells the truth.
2. person 2 is telling the truth.
b) 1. no of persong telling the truth is greater than no of
persons telling lies
2. person 5 is telling the truth.
7. there are N coins on a table. there are two players A&B.
you can take 1 or 2 coins at a time. the person who takes the
last coin is the loser. a always starts first
--1. if N=7
a) A can always win by taking two coins in his first chanse
b) B can win only if A takes two coins in his first chance.
c) B can always win by proper play
d) none of the above
--2. A can win by proper play if N is equal to
a) 13 b) 37 c) 22 d) 34 e) 48 ans. e.
--3. B can win by proper play if N is equal to
a) 25 b)26 c) 32 d) 41 e) none
--4. if N<4, can A win by proper play always

8. Two turns have vertain pecular charcteristics. One of them
always lies on Monday, Wednesday, Friday. \the other always lies
on Tuesdays, thursdays and saturdays. On the other days they tel
the truth. You are given a conversation.
person A-- today is sunday my name is anil
person B-- today is tuesday, my name is bill

answers for selected questions
2. equal 1. 150
3. 8 2. 60 kmph
4. 37(M),41(S) 3. Mukherjee
5. 45 min. 8. today is tuesday
6. 0.8
7. 18
11. T max value = 4