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 INFOSYS SAMPLE QUESTIONS

1. A pipe can fill a tank in 3 hours due to leakage it takes 3.5 hours to fill the same tank then how many hours will the leakage can empty the tank



2. Two coins one with HEAD IN BOTH SIDES and the other coin HEAD IN ONE SIDE AND TAIL IN THE
OTHER SIDE is in a box,a coin is taken at random and FOUND HEAD IN ONE SIDE .what is the
probability that THE OTHER SIDE IS HEAD?


3.12 Blacksox and 12 Whitesox mixed in a box,a pair of sox is picked at a time,in which pick/
how many pick ,to get the right pair(black&black or white&white)?



4. 16 litre can, 7 litre can,3 litre can,the customer has to be given 11 litres of milk using
all the three cans only explain?


5.When Arthur is as old as his father Hailey is now, he shall be 5 times as old as his son Clarke is now. By then Clarke will be 8 times older than Arthur is now. The combined ages of Hailey and Arthur are 100 years. How old is Clarke?


6. Aeroplane is flying at a particular angle and latitude, after some time latitude is given. (8 hrs later), u r asked to find the local time of the place.



7.A mathamatical word contain 10 letters.
Without first four letter you can't plan your life.
Last six letter specify particular time.



8. A car is traveling at a uniform speed. The driver sees a milestone showing a 2-digit number. After traveling for an hour the
driver sees another milestone with the same digits in reverse order. After another hour the driver sees another milestone containing
the same two digits with a zero in between(0). What is the average speed of the driver.


9. My son is half of my age & was 1/3rd of my age 10 yrs back. What is my present age?

 

10.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

 

11.A father had 2 sons and he wanted to giveaway his whole wealth only to one son who is intelligent of both. One fine day, he asked his 2 sons to win the competition he set for them. The competition is, each one will be given a horse each to race and win the competition. But the trick is, whose horse reaches the winning line last wins the race. They started the race and kept on wandering all over the earth for days and years in order to reach the line second, only to understand this doesn't work out. On one lucky day they came across a wise man and asked for a solution. Soon after they heard from him, they started running towards the winning line like anything.
So guys, here's the question for u... if u were the wise man to suggest them, what would u say?

 

12.A family missed the scheduled flight, to while away the time, one of the boys says to his family members that we have to wait 6 hours more which is 1/5 until midnight, if plane comes, we would have gone 2 hours earlier.

There were 2 systems A n B. 14 degrees in A is equivalent to 36 in System B and 133 in A is equivalent to 87 in B. now what is the Temperature where they both r equal?

A cow is standing 5 feet from the middle of the bridge. A train is coming towards the cow at speed of 90 miles per hour from the near end and the train is twice as long as the bridge. If the cow had tried to move forward in the same direction as of the train then the cow would have got hit be three feet. But it moved in opposite direction to the train and saved by one feet. Then What is the length of the bridge?

 

13.A man wearing a hat stands on a bridge across a river. At an instant his hat falls
into the river and starts flowing along with the stream at the same speed of the stream.
At the same instant the man jumps into the river and starts swimming in the direction
opposite to the stream, like that he swims for 10 minute , then he turns back and
starts swimming in the direction of the stream to retrieve the hat. He retrieves the hat
under another bridge which is 1000 yards away down the stream from the first bridge.
What is the speed of the river?

Let the swimming speed of man be = a yds/min.
speed of stream = b yds/min.
Then the man swims at (a-b) yds/min. against the stream.
and (a+b) yds/min in direction with the stream.
Lets assume the man covered a distance of x in 10 min swim up the stream at speed (a-b).
The time taken by him to cover the same distance down the stream at speed (a+b) is...
=> 10(a-b)/(a+b)
The total time of travel(being same for both), hat and the man be 't'.
Time taken by hat to travel from first bridge to the bridge down stream 1000 yards
away at speed b is 't' minutes.
Time taken by man to travel from first bridge to the bridge down stream 1000 yards
away at speed (a+b) will be [t-{10+[(10(a-b)/(a+b))]}] minutes.
There for we have for hat b*t=1000 yds. ------> (1)
for man .... (a+b)[t-(10(a-b)/(a+b))] = 1000 yds. ------> (2)
solving equations (1) and (2) we get
t=20 minutes.


Answer : so, speed of the stream is 1000/20= 50 yds/min.

14.A farmer has C chickens. A sack of feed comes for 9 days. As the feed
cost is increasing the farmer sells some chickens and retains 12 chicken. If he reduces the
feed quantity by 10% .Then he observes that the feed comes for 30 days. What is C?

C chickens can b fed for 9 days. So C chick can eat 1/9 in 1 day.
So 1 chick can eat (1/9C) in one day. After his reduction one chick gets to eat only 90% of what it used to eat in one day.
So new feed value=0.9*(1/9C) for 1day.but now he has only 12 chicks.
that means as per new rule feed is suitable for 12 chicks for 30 days.
i.e.
0.9*(1/9C)*12*30=1. Solve to get C=36


Ans:36

 

15.The Carpenter and the Nails
A 31" x 31" square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 32 nails on each side of the square. Each nail
is at the same distance from the neighboring nails. How many nails does
the carpenter use?

32*2 + 30*2=124

 

16.Vacation time
It was vacation time, and so I decided to visit my cousin's home. What a grand time we had! In the mornings, we both would go for a jog. The evenings were spent on the tennis court. Tiring as these activities were, we could manage only one per day, i.e., either we went for a jog or played tennis each day. There were days when we felt lazy and stayed home all day long. Now, there were 12 mornings when we did nothing, 18 evenings when we stayed at home, and a total of 14 days when we jogged or played
tennis. For how many days did I stay at my cousin's place?

Use sets and venn diagram to solve such questions.a,b ,aub,anb etc.
12=tennis+leave
18=jog +leave
so jog-tennis=6
again jog+tennis=14.so solve and get jog=10,leave=8,tennis=4.so tot=22

 

17.Two people X & Y walk on the wall of a go down in opposite direction. They meet at a point on one side and then go ahead. X after walking for some time, walks in opposite direction for 15 mtrs. Then again he turns back and walks in the original direction. What distance did Y walk before they met again, if X walks 11 mtrs by the time Y walks 8 mtrs.

 

18. 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 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 2 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.

 

19.A man was on his way to a marriage in a car with a constant speed. After 2 hours one of the tier is punctured and it took 10 minutes to replace it. After that they traveled with a speed of 30 miles/hr and reached the marriage 30 minutes late to the scheduled time. The driver told that they would be late by 15 minutes only if the 10 minutes was not waste. Find the distance between the two towns?
Ans. is 120 bt could somebody plz tell the approach


20. cost of a=5bit/pound , cost of b=3bit/pound. Mixture ab is sold at
100/3% profit and qty sold is 40 pound tell the weight of compound a sold
in mixture.bit is money unit.

 

21. A person from washington came to india. One evening at 6.00 p m he started walking at the speed of 40 km/hr and climbed the slope at speed of 30 km/hr. From there he walked back to the source at the same speed at 9.00 p m. what is the distance he covered in one way.

 

Ans: 12 kms

22.Goerge said.."i bought yellow bananas @ 30 cents/bunch and the same number of red bananas @ 40 cents /each. If i had divided the money evenly then i would have got 2 bunches" to Mr.James and he asked george "What is the amount?" George replied "you hav to tell me the amount". Can you find what is the amount.


23.A stamp collector has the habit to arrange or rearrange the stamps accordingly. while
doing this he some times keeps the stamps in pairs, or in group of 3 or in 4 or in or in 6 and
realises that in any case he is left with 1 stamp and when he arranges them in groups of 7 no
stamps remain. what is the number of stamps he has?

24. A man was on his way to a marriage in a car with a constant speed. After 2 hours one of
the tier is punctured and it took 10 minutes to replace it. After that they traveled with a speed of 30 miles/hr and reached the marriage
30 minutes late to the scheduled time. The driver told that they would be late by 15 minutes only if the 10 minutes was not waste. Find the distance between the two towns?

 

25. Tom wants to catch a hare. He is standing 250 yards south from the hare. The hare
starts moving due east.Tom, instead of moving in the northeast direction,moves in such a way that at every instant,he is goingtowards the hare. If speed of tom is one and one-third times that of the hare, find the distance each
traveled before he caught the hare.


26.Farmer Jones sold a pair of cows for Rs. 210 , On one he made a profit of ten percent
and on the other he lost ten percent. Altogether he made a profit of five percent. How many
did each cow originally cost him?


27.A wall clock loses 10 minutes every 1 hour. In 1 hour by the wall clock , a table clock gets 10 minutes ahead of it. In 1 hour by the table clock an alarm clock falls 5 minutes behind it. In 1 hour of the alarm clock, a wristwatch gets 5 minutes ahead it. At noon, all 4 timepieces were set correctly. To the nearest minutes, what time will the wrist show when
the correct time is 6 p.m. on the same day?


28.Ten years before, one is seven years more than the "half the age" of other. Now the
bride’s age is 30 years. And also one is nine-tenths the age of other. What is groom’s present
age.

 

29.There are three types of birds A,B & C . A costs 5pounds, B costs 3 Pounds and C costs
1/3 of a pound. find the no. of A,B &C such that u will get 100 birds for 100 pounds. (I think
we were suppose to find 3 answers since there were 3 rows in the answer)

 

Ans: A : 4 B :18 C: 78

 

30. A complex statement - about an aeroplane comming late. "The boy says if it was 6
hours later, the waiting time would be 1/5th of the time if the plane had come 2 hours
earlier instead. the plane is supposed to come at midnight


Ans 11.00 a.m


31. A cow was standing on a bridge, 5feet away from the middle of the bridge. suddenly a
lightning express with 90 miles/hr was coming towards the bridge from nearest end of the
cow.seeeing this the cow ran towards the express and managed to escape when the train is one feet away from the bridge. if it would have ran to opposite direction(ie away from train)it would have been hit the train one ft away from the end of the bridge. Calculate the length of bridge.

 

32. to number of days y attacking another town. Number of days x attack is equal to half the
square root of number of days z attacking a town.number of days y attacking the town is
twice the square root of z.calculate how much days the curse of each dragon be.

 

33. If A, B and C are the mechanisms used separately to reduce the wastage of fuel by 30%, 20% and 10%. What will be the fuel economy if they were used combined.

 


Ans: 20%

 

34. A town have a population of 500000 and 42% of males and 28% of females are
married to same town. find the total number of males
tebook costs more than the cost
of 2 Pencils. 3 Pencil costs more than 4 Erasers. 3 Erasers costs more than a Notebook.
How much does a pencil costs?

 

36. One side of the measuring arm was longer than the other side .If 3 pyramid width was
placed in longer side it is equal to 2 cube width in the shorter arm.If 8 pyramid width was
placed in longer arm then it is equal to 6 cube width. Let 1 pyramid width is equal to
10kg.What is the wgt of cube width?

 

37. A wall clock was slow by 10minutes . According to the wall clock,a table clock was 10
minutes ahead of it . According to the table clock an alarm clock was 5 minutes behind and
according to the alarm clock wrst watch was 5 minutes fast.Atnoon all the clocks were
adjusted .What will be the time at 6 P.M wrist watch?

 

38.there ia truck which should reach some place at 11`o clock , if it travels with 30 mph it
reaches 1 hour before , if it travles with 20 mph it reaches 1 hour late. what is the distance it must be travlled and what is the speed it must maintain to rech at exact time?


Ans: 120 miles and 24 mph


39. A & B two places. C & D are two people. C started from A and D started from B. When they meet each other in the way C traveled 18 m more than D. Then C takes 13 and half a
minute and D takes 24 minutes to reach the other end. What was the distance between A &
B.


Ans: 126.


40. An army 50 miles long marches at a constant rate. A courier standing at the rear moves
forward and delivers the message to the first person and then turns back and reaches the
rear of the army as the army completes 50 miles. Find the distance travelled by the courier
41) 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?


42.A Lady (say L) is a philanthropist. she goes to a restaurent,orders food and pays half the amount she has and another doller to a
waiter as tip. she then goes to a mall, does some purchases and pays half the amount left and another 2 dollers to a begger outside. At
last she goes to a book store, takes some books and pays half the amount left and another 3 dollers to a begger outside. she then
checks that she only had a doller left to her. How much money she had initially?


43. Three couples are playing golf together. The men are E, B & T while women are M G &
H. they play 8 rounds.M, G, H & E score 106, 102, 100, 94 respectively. while B & T scored either 96 or 98 as it was unresolved due
to error at scoreboard. When finally resolved they found that two of the couples scored
same. It is given that-E's wife scored greater than B's wife. Who's whose wife & how much the men scored each?


44. A tree on first day grows 1/2 of its size second day 1/3rd of its size on the previous day
similarly than 1/4th and so on.u have to calculate after how many days the tree will be 100 times of its original size.


Ans -198 days

45. One woman buys plates worth 1.30$ at 2cent discount each plate.Then she exchanged
the plates
for sausers & bowl where one bowl & one sausers costs equal to one plate.no of sausers
which costs 3 cent
is10 more than bowl. no of saucers & bowl is 16 more than no of plates.


46. A man was on his way to a marriage in a car with a constant speed. After 2 hours one of the tier is punctured and it took 10 minutes to replace it. After that they traveled with a speed of 30 miles/hr and reached the marriage 30 minutes late to the scheduled time. The driver told that they would be late by 15 minutes only if the 10 minutes
was not waste. Find the distance between the two towns? Ans. 120 miles


47. T, U, V are 3 friends digging groups in fields. If T & U can complete i groove in 4 days &,
U & V can complete 1 groove in 3 days & V & T can complete in 2 days. Find how many days
each takes to complete 1 groove individually. Ans: 24 days

 

48. Two men are going along a track of rail in the opposite direction. One goods train crossed the first person in 20 sec. After 10 min the train crossed the other person who is coming in opposite direction in 18 sec. After the train has passed, when the two persons will meet?


49. H starts running after T reaches 1/5th they must when H reach 1/6th, if H wants win at what speed H should be run? Note: One circle is there, you show this type of problem.

 

50. Joe started from Bombay towards Pune and her friend Julie in opposite
direction. They meet at a point .distance traveled by Joe was 1.8 miles
more than that of Julie. After spending some both started there way.
Joe reaches in 2 hours while Julie in 3.5 hours. Assuming both were traveling
with constant speed. What is the distance between the two cities.


51. Joe started from Bombay towards Pune and her friend Julie in opposite
direction. They meet at a point .distance traveled by Joe was 1.8 miles
more than that of Julie. After spending some both started there way.
Joe reaches in 2 hours while Julie in 3.5 hours. Assuming both were traveling
with constant speed. What is the distance between the two cities.


52. A train blows a siren one hour after starting from the station. After that it travels at 3/5th of its speed it reaches the next station 2 hours behind schedule. If it had a problem 50 miles farther from the previous case, it would have reached 40 minutes sooner. Find the distance between the two stations.

 

53. A & B two places. C & D are two people. C started from A and D started from B. When
they meet each other in the way C traveled 18 m more than D. Then C takes 13 and half a
minute and D takes 24 minutes to reach the other end. What was the distance between A &
B.

 

Ans: 126.

54. The profit made by a company in one year is enough to give 6% return on all shares.
But as the preffered shares get on return of 7.5%, so the ordinary shares got on return of 5%.If the value of preferd shares is Rs 4,000000, then what is the value of ordinary shares?

 

Ans: Rs. 6,000000.

55. 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?

 

56. 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?

 

57. Venkat has 1boy&2daughters.The product of these children age is 72.The sum of their
ages give the door numberof Venkat.Boy is elder of three.Can you tell the ages of all the
three.


58.xxx)xxxxx(xxx
3xx
-------
xxx
x3x
-------
xxx
3xx
-------Find the 5 digit No.

 

59. 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.

 

60.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.
eg. 1368-Flights goes through 1-3-6-8.

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