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Wednesday 4 January 2012

Infosys Puzzles




1. There is a escalator and 2 persons move down it. A takes 50 steps
and B takes 75 steps while the escalator is moving down. Given that
the time taken by A to take 1 step is equal to time taken by B to take
3 steps. Find the no. of steps in the escalator while it is stationary.
Ans= (s1*t2 ~ s2*t1) / (t1 ~ t2) which gives 100. so 100 steps is the answer
2. If 5/2 artists make 5/2 paintings using 5/2 canvases in 5/2 days
then how many artists r required to make 25 paintings using 25
canvases in 25 days?
Ans: --
3. If the digits of my present age are reversed then I get the age of
my son. If 1 year ago my age was twice as that of my son. Find my
present age.
Ansfather-73, son-37
4. There are 6561 balls out of them 1 is heavy. Find the min. no. of
times the balls have to be weighed for finding out the heavy ball.
Ans. 8
5. If I walk with 30 miles/hr I reach 1 hour before and if I walk with
20 miles/hr I reach 1 hour late. Find the distance between 2 points
and the exact time of reaching destination is 11 am then find the
speed with which it walks.
Ans. 120miles and 24 miles/hr
6. There r four face cards (J, Q, K, A) all of different
types(diamond, club, spade, heart) and some conditions r given.
find the order of cards
Ans. king -> jack -> queen -> ace heart diamond spade club
7. If A, B, C, D, E r 5members of a family.4 of them give true
statements :
1. E is my mother in law
2. C is my son in law's brother
3. B is my father's brother
4. A is my brother's wife
Who made the stmt. and what is the relations among them
Ans. E
|
A<-->B--C
|
D <--> denotes husband-wife
-- denotes brothers
8. The product of 5 different temperatures is 12.If all of then r
integers then find all the temperatures
Ans.-2,-1, 1, 2, 3
9.There r 9 cities numbered 1 to 9.From how many cities the flight
can start so as to reach the city 8 either directly or indirectly such
the path formed is divisible by 3.
Ans. 1368-Flights goes through 1-3-6-8.
10. If i do this puzzle i find it to be hard than the last puzzle that i
did before that after that..............very complex stmt.
Ans. Is that puzzle difficult, easy, can't say or depends on the no. of puzzles
11. Replace each letter by a digit. Each lettermust be represented
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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.
12. Ann, Boobie, Cathy and Dave are at theirmonthly 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.
13. Sometime after 10:00 PMa 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.
14. 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.
15. 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.
16. Two trains starting at same time, one from Bangalore to My
sore and other in opposite direction arrive at their destination 1 hr
and 4 hours respectively after passing each other. Howmuch faster
is one train from other?
Ans: Twice.
17. 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.
18. I bought a car with a peculiar 5 digit numbered license plate
which on reversing could still be read. On reversing value is
increased by 78633.Whats the original number if all digits were
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different?
Ans: Only 0 1 6 8 and 9 can be read upside down. So on rearranging these
digits, we get the answer as 10968.
19. 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.
(20) There are two balls touching each other circumferentially. The
radius of the big ball is 4 times the diameter of the small all. 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 N rev/sec.What is 'N' for
the horizontal line fromthe centre of small wheel always is
horizontal.
Ans: --
(21)
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
------------
Ans. 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 Nos.
to get the same 2 digit No. perform the same process again with 1 digit Nos.
Give the ' nods in 7 rows at each stage.
(22) 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 sumis 11. Find the
number.
Ans: 65292.
(23) There are 2 guards Bal and Pal walking on the side of a wall of
a warehouse(12m X 11m) in opposite directions. Theymeet 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, howmuch distance they would have traveled before
meeting again.
Ans: --
24. 13 kgs and 6 libs can produce 510 tors in 10 hrs, 8 kgs and 14
libs can produce 484 tors in 12 hrs.
Ans. Find the rate of production of tors for kgs and libs. Express the answer
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in tors/hr.
(25)
xxx)xxxxx(xxx
3xx
-------
xxx
x3x
-------
xxx
3xx
-------
Ans. Find the 5 digit No. Hint: 5 is used at least once in the calculation.
(26) A fly is there 1 feet below the ceiling right across a wall length
is 30m at equal distance from both the ends. There is a spider 1 feet
above floor right across the long wall equidistant from both the
ends. If the width of the room is 12m and 12m, what distance is to
be traveled by the spider to catch the fly, if it takes the shortest
path.
Ans: --
(27) Ramesh sit around a round table with some othermen. 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. Howmanymen are there along with
Ramesh and what is the money with poorest fellow.
Ans: --
(28)Question related to probabilities of removing the red ball from
a basket, given that two balls are removed fromthe basket and the
other ball is red. The basket contains
Ans. blue, red, yellow balls.
(29) Venkat has 1boy&2daughters.The product of these children
age is 72.The sumof their ages give the door number of Venkat.
Boy is elder of three. Can you tell the ages of all the three.
Ans: --
(30) 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 thatM said that 3 of others have money.
P: L and N said that they have money.
Ans. All are liars.Who has money & who doesn't have?
(31)Post man has a data of name surname door number, pet name
of 4 families. But only one is correct for each family. There are a set
of statements & questions.
Ans: --
(33) 4 couples have a party. Depending on the set of statements,
find who insulted whom and who is the host of the party.
Ans: --
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(34) 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.
(35) 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 15min 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
Ans. towards North.
(36) 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 the 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 3miles/hr. On the way, he gets the coach and reaches
home at 6 o'clock. How far is his residence fromrailway station.
Ans: --
(37) Radha, Geeta & Revathi went for a picnic. After a few days
they forgot the date, day andmonth on which they went to picnic.
Radha said that it was on Thursday, May 8 and Geeta said that it
was ThursdayMay 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
andmonth?
Ans: --
38. There is 66x33m rectangular area. Ram is 11/8 times faster
than Krishna. Both of themstarted walking at opposite ends and
they met at some point then, Ram said "See you in the other end"
Then they continued walking. After some time Ram thought he will
have tea so he turned back walked back 15meters then he changed
hismind again and continued walking.How much Krishna has
traveled by the time theymeet?
Ans: --
39. There are 5 burglars and once went to a bakery to rob it
obviously The first guy ate 1/2 of the total bread and 1/2 of the
bread. The second guy ate 1/2 of the remaining and 1/2 of the
bread. The third guy ,fourth guy and fifth guy did the same. After
fifth guy there is no bread left out.Howmany bread are there?
Ans: --
40. Allmembers belonging to D aremembers of A. Allmembers
belonging to E are members of D. Allmembers belonging to C are
members of both A & D. Somemembers of A does not belong to D.
Allmembers belonging to D are members of E.5 questions are
there.
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Ans: --
41.Write each statements true or false:-
1. The sum of the 1st three statements and the 2nd false statement gives the
true statement.
2.The no. of true statements false statement.
3. The sum of 2nd true statement and 1st false statement gives the first true
statement.
4. There are at most 3 false statements.
5.There is no two consecutive true statements.
42. There are twelve consecutive flags at an equal interval of
distance. Aman passes the 8th flag in 8 seconds. How many more
seconds will he take to pass the remaining 4 flags?
Ans: --
43. 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 milesmore, then the person would have been only 24
hours late. Find the distance of the destination.
Ans: --
44. A boat Mleaves shore A and at the same time boat B leaves
shore B. They move across the river. They met at 500 yards away
from A and after that theymet 300 yards away from shore B
without halting at shores. Find the distance between the shore A &
B.
Ans: --
45. 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?
Ans: --
46. Food grains are to be sent to city from go down. 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 go down to city. Also with
which speed the truck should travel in order to reach at exactly 11
'O clock.
Ans: --
47. There are five persons A, B, C, D, Ewhose 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.
Ans: --
48. Persons say these statements.
A says either Democratic or liberal wins the elections.
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B says Democratic wins.
C says neither democratic nor liberal wins the election.
Of these only one is wrong.Who wins the election?
Ans: --
49. Six persons A,B,C,D,E, and F went to soldier cinema. There are
six consecutive seats. A sits in the first seat followed by B, followed
by C and so on. If A taken on of the six seats, then B should sit
adjacent to A. C should sit adjacent to A or B. D should sit adjacent
to A, B or C and so on. Howmany possibilities are there ?
Ans: --
50. Suppose there are four grades A, B, C, D. (A is the best and D is
the worst) 4 persons Jack, Jean, Poul and Lucy wrote the final
exam and made the statements like this:-
1. Jack: If I will get A then Lucy will get D.
2. Lucy: If I will get C then Jack will get D.
Jack grade is better than Poul grade.
3. Jean: If Jean doesn't get A then Jack will not get A.
4. Poul: If Jack get A, then Jean will not get B, Lucy will get C, I won't either A
or B.
Ans. If all the above statements are true, then which person will get which
grade?
51. Each man dances with 3 women, Each women dances with 3
men. Among each pair of men they have exactly two women in
common. Find the no. ofmen and women.
Ans: --
52. A survey was taken among 100 people to find their preference
of watching TV. programmes. There are 3 channels. Given no of
people who watch at least channel 1, at least channel 2,at least
channel 3, no channels at all, at least channels 1 and 3, at least
channels 1 and 2, at least channels 2 and 3. Find the no of people
who watched all three.
Ans: --
53. A bird keeper has got P pigeon,M mynas and S sparrows. The
keeper goes for lunch leaving his assistant to watch the birds.
Suppose p=10,m=5, s=8.
(a.) When the bird keeper comes back, the assistant informs that 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 realised that at least 2 sparrows have escaped.What is
minimumno of birds that can escape.
Ans: --
54. Select fromthe five alternatives A,B,C,D,and E. At the end of
each question, two conditions will be given. The choices are to be
filled as 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.
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E: No conclusion can be drawn using both conditions.
1. Person 1 says N<5
Person 2 says n>5.
Person 3 says 3N>20
Person 4 says 3n>10
Person 5 says N<8.
Ans. What is the value of N?
55. There are N coins on a table. There are two players A&B. You
can take 1or 2 coins at a time. The person who takes the last coin is
the loser. A always starts first.
1. If N=7, then
(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, can A win by proper play always?
56. There are 4 parties A,B,C,D. There are 3 people x, y, z. X-says A
or D will win. Y-says A will not win. Z-says B or D will not win. Only
one of themis true.Which party won?
Ans: --
57. 5 persons R,S,T,U,V are contesting for a medal. Evaluation is
over English,Math's, Physics, Chemistry and Hindi. Toper will get
5marks, least will get 1mark. No ties any where. R get 24 and won
the overallmedal. V gets first in Chemistry and third in Hindi, T got
consistent scores in 4 subjects. Their final standings where in the
alphabetical order.What was the score of S in Chemistry.
Ans: --
58. Persons A and B. Person A picks a randomno. from 1 to 1000.
Then person B picks a random no. from 1 to 1000.What is the
probability of B getting no. greater then what A has picked?
Ans: --
59. Three boys and three girls brought up together. Jim, Jane,
Tom, Virgina, Dorthy, XXX. Theymarry among themselves to form
three couples. Conditions are:-
(i) Sum of their ages would be the same.
(ii) Virgina was the oldest.
(iii) Jim was Dorothy's brother.
(iv) Sum of ages Jane Jim and Tom+dorthy is same.
Give the three couples.
60. X^(1/3) - X^(1/9) =60. Solve for X.
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Ans: --
61. X Z Y+X Y Z = Y Z X.
Ans. Find the three digits.
62. Two boats start fromopposite banks of river perpendicular to
the shore. One is faster then the other. They meet at 720 yards from
one of the ends. After reaching opposite ends rest for 10mins each.
After that they start back. This time on the return journey they
meet at 400yards from the other end of the river. Calculate the
width of the river.
Ans: --
63. Basketball Tournament organizers decided that two
consecutive defeats will knock out the team. There are 51 teams
participating.What is the maximumno. of matches that can be
played.
Ans: --
64. The Master says to his grandmaster that I andmy three cousins
have ages in prime nos. only. Summation of our ages is 50.
Grandmaster who knows the age of themaster instantly tells the
ages of the three cousins. Tell the ages of three cousins.
( 1 is not considered as prime no.)
Ans: --
65. There are two families Alens and smiths. They have two
children each. There names are A,B,C,D whose ages are different
and ages are less then or equal to 11. The following conditions are
given:-
(i) A's age is three years less then his brother's age .
(ii) B is eldest among the four.
(iii) C is half the age of the eldest in Alens family.
(iv) The difference in sum of the ages of Alens children and smith’s
children is same as that of five years ago.
Ans. Find the ages of all the children.
66. 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.
Ans. Then find a, b, c, d, e.

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