Infosys Sample Test #7
1.An escalator is descending at constant speed.
A walks down and takes 50 steps to reach the bottom.
B runs down and takes 90 steps in the same time as A takes 10 steps.
How many steps are visible when the escalator is not operating?
Ans: 150 steps
2. Every day a cyclist meets a train at a particular crossing.
The road is straight before the crossing and both are travelling in the same direction.
The cyclist travels with a speed of 10 Kmph.
One day the cyclist comes late by 25 min. and meets the train 5km before the crossing.
What is the speed of the train?
Ans: 60 kmph
3. There are five persons with surnames Mukherjee, Misra, Iyer, Patil and Sharma.
There are 4 persons having first or middle name of Kumar, 3 persons with Mohan, 2 persons with Dev and 1 Anil.
Either Mukherjee and Patil have a first or middle name of Dev or Misra and Iyer have their first or middle name of Dev.
Of Mukherkjee and Misra, either both of them have a first or middle name of Mohan or neither have a first or
middle name of Mohan.
Either Iyer or Sharma has a first or middle name of Kumar but not both.
Who has the first or middle name of Anil?
Ans: Kumar Misra Dev
Mohan Iyer Dev
Kumar Patil Mohan
Mohan Sharma Kumar
4. Boys are allowed to watch football at C.V.Raman auditorium subjected to conditions.
The boy over age 16 can wear overcoat
No boy over age 15 can wear cap
To watch the football either he has to wear overcoat or cap or both
A boy with an umberella or above 16 or both cannot wear sweater.
Boys must either not watch football or wear sweater.
What is the appearence of the boy who is watching football.
5. A bird keeper has got P pigeons, M mynas and S sparrows.
The keeper goes for lunch leaving his assistant to watch the birds.
Suppose p=10, m=5, s=8 when the bird keeper comes back, the assistant informs the x birds have escaped. The bird keeper exclaims: "Oh no! All my sparrows are gone."
How many birds flew away?
When the bird keeper comes back, the assistant told him that x birds have escaped. The keeper realised that atleast 2 sparrows have escaped.
What is minimum no of birds that can escape?
6. Answer the following questions based on the conditions from the choices A, B, C, D, E as described below:
(A) if a definete conclusion can be drawn from condition 1
(B) if a definete conclusion can be drawn from condition 2
(C) if a definete conclusion can be drawn from condition 1 and 2
(D) if a definete conclusion can be drawn from condition 1 or 2
(E) no conclusion can be drawn using both conditions
person 1 says N<5
person says N>5
person 3 says 3N>20
person 4 says 3N>10
person 5 says N<8
What is the value of N?
a) 1. No of persons who speak false being less than no of persons who tells the truth.
2. Person 2 is telling the truth.
b) 1. no of persong telling the truth is greater than no of persons telling lies
2. person 5 is telling the truth.
7. There are N coins on a table and there are two players A & B.
You can take 1 or 2 coins at a time.
The person who takes the last coin is the loser.
A always starts first.
If N=7
(a) A can always win by taking two coins in his first chanse
(b) B can win only if A takes two coins in his first chance.
(c) B can always win by proper play
(d) none of the above
2. A can win by proper play if N is equal to
(a) 13 (b) 37 (c) 22 (d) 34 (e) 48
Ans: (e.)
3. B can win by proper play if N is equal to
(a) 25 (b)26 (c) 32 (d) 41 (e) none
4. if N<4, can A win by proper play always?
(a) Yes (b) No
8. Two twins have vertain peculiar charcteristics.
One of them always lies on Monday, Wednesday, Friday.
The other always lies on Tuesdays, Thursdays and Saturdays.
On the other days they tell the truth. You are given a conversation.
Person A– today is Sunday my name is Anil
Person B — today is Tuesday, my name is Bill
What day is today?
Ans: Today is Tuesday.
9. There is a safe with a 5 digit number as the key.
The 4th digit is 4 greater than second digit, while 3rd digit is 3 less than 2nd digit.
The 1st digit is thrice the last digit.
There are 3 pairs whose sum is 11.
Find the number.
Ans: 65292
10. A hotel has two wings,the east wing and the west wing.
Some east wing rooms but not all have an ocean view.
All west wing rooms have a harbour view.
The charge for all rooms is identical, except as follows :
I. Whether there are any rooms without a balcony for which an extra charge is imposed.
II. Whether any room without a kitchen or a view involves an extra charge.
III. Whether two extra charges are impsed for any room.
(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II and III
(This question is from 1999 Barrons GRE Guide model Test 3 – section 6, question 22)
Ans: (A)
Infosys Sample Test #8
1) There are two balls touching each other circumferencically.
The radius of the big ball is 4 times the diameter of the small
ball.The outer small ball rotates in anticlockwise direction
circumferencically 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
wearhouse(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 eqidistant 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 sit 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 numberof 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 modrl 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?
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