
INFOSYS POWER PREPARATION
Puzzles
1. When Arthur is as old as his father Hailey
is now, he shall be 5 timesas old as his son Clarke
is now. By then, Clarke will be 8 times olderthan
Arthur is now. The combined ages of Hailey and
Arthur are 100 years. How old is Clarke ?
2. I have one orange glass containing orange
juice and another white glass containing apple
juice. I take 50 ml of orange juice and mix
it with apple juice in the white glass. Then
I take 50 ml of this mixture and transfer
it back to the orange glass. If you compare
amount of apple juice in the orange glass
and amount of orange juice in the white glass
which is more than the other and by how much
?
3. The seven digits in this subtraction
problem are 0,1,2,3,4,5 and 6.Each letter
represents the same digit whenever it occurs.
D A D C B
E B E G
--------------------
B F E G
-------------------- What digit is represented
by each letter ?
4. The Jones have named their four boys after
favourite relatives; their friends, the Smiths,
have done the same
with their three boys.One of the families
has twin boys. From the following clues, can
you determine the families
of all seven children and their ages ?
i) Valantine is 4 years older than his twin
brothers.
ii) Winston, who is 8, and Benedict are not
brothers. They are each named after a grandfather.
iii) Briscoe is two years younger than his
brother Hamilton, But three years older than
Dewey.
iv) Decatur is 10 years old.
v) Benedict is 3 years younger than Valentine;
they are not related.
vi) The twins are named for uncles.
5 Motorboat A leaves shore P as B leaves
Q; they move across the lake at a constant
speed. They meet first time
600 yards from P. Each returns from the opposite
shore without halting, and they meet 200 yards
from Q. How long is the lake ?
6. Fanta, Pepsi and Citra often eat dinner
out.
a) Each orders either coffee or tea after
dinner.
b) If Fanta orders coffee, then Pepsi orders
the drink that Citra orders.
c) If Pepsi orders coffee, then Fanta orders
the drink that Citra does not order.
d) If Citra orders tea, then Fanta orders
the drink that Pepsi orders.
Which person/persons always orders the same
drink after dinner ?
7. On the Island of imperfection there is
a special road, Logic Lane, on which the houses
are usually reserved for the more mathematical
inhabitants. Add, Divide and Even live in
three different houses on this road (whichhas
houses numbered from 1-50). One of them is
a member of the Pukka Tribe,who always tell
the truth; another is a member of the Wotta
Tribe, who never tell the truth; and the third
is a member of the Shalla Tribe, who make
statements which are alternately true and
false, or false and true. They make statements
as follows :
ADD : 1 The number of my house is greater
than that of Divide's.
2 My number is divisible by 4.
3 Even's number differs by 13 from that
of one of the others.
DIVIDE : 1 Add's number is divisible by 12.
2 My number is 37.
3 Even's number is even.
EVEN : 1 No one's number is divisible by 10.
2 My number is 30.
3 Add's number is divisible by 3.
Find to which tribe each of them belongs,
and the number of each of their houses.
8. The names of the inhabitants of Walkie
Talkie Land sound strange to thevisitors,
and they find it difficult to pronounce them,
due to their length and a few vowel sounds
they contain. The Walkie Talkie guide is discussing
the names of four inhabitants - A,B,C and
D. Their names each contain upto eight syllables,
although none of the four names contain the
same number. Two of the names contain no vowel
sounds; one contains one vowel sound; and
one contains two vowel sounds. From the Guide's
statements below, determine the number of
syllables
and vowel sounds in each of the four Walkie
Talkie names :
i) The one whose name contains two vowel sounds
is not A.
ii) C's name does not contain more than one
vowel sound or fewer than seven syllables.
iii)The name with seven syllables does not
contain exactly one vowel sound.
iv) B and C do not have names with the same
number of vowel sounds.
v) Neither the name with five syllables nor
the name with seven syllablescontains more
than one vowel sound.
vi) Neither the name with six syllables, nor
the B's name, contains two vowel sounds.
9. Multiplication and Division.
(1) - - - - - (a) (2) _ _ . _ (d)
________________
- - - (b) - - -) - - - - - . 0
_________________ - - -
_______________
- - - - -
- - - - - - - - -
___________________ - - -
_______________
- - - - - - - (c)
- - -
- - -
========
(1) and (2) represent the same two numbers
- in one case multiplied together, in other
case divided.
Given that there are no 3's. find the missing
digits indicated as (a), (b), (c) and (d)
above ?
10. Two identical twins have a very unusual
characteristic. One tells nothing but lies
on Mondays, Wednesdays and Fridays, and tells
nothing but the truth all other days. The
other tells nothing but lies on Tuesdays,
Thursdays and Saturdays, and tells nothing
but the truth all other days. On Sundays both
children speak the truth.
1) Which of the following statements can
be deduced from theinformation presented ?
i) If it is Sunday, the twins will both say
so.
ii) If it is not Sunday,one twin will give
the correct day and the other will lie about
everything.
iii)On any given day, only one twin will give
his correct name.
a) i only
b) i and ii only
c) i and iii only
d) ii and iii only
e) i,ii and iii
2) According to the information presented, which
of the following conversations will be impossible.
a) Twin A : "Today you are a lier"Twin
B : "You are telling the truth"
b) Twin A : "Today you are a lier"Twin
B : "Today I am a truthteller"
c) Twin A : "Tommorow I shall be a lier"Twin
B : "That's correct"
d) Twin A : "Tommorow you will be a lier"Twin
B : "Today you are a truthteller"
e) Twin A : "Yesterday we were both truthtellers"Twin
B : "You are lying"
3) Assume that the twins followed a different
set of rules, so that ona given day both told
only the truth while next day both only lied,alternating
days of truth telling and lying. Under these rules,which
of the following conversations would be possible
?
a) Twin A : "Today you are a lier" Twin
B : "That is correct"
b) Twin A : "Today you are a lier" Twin
B : "That is not so"
c) Twin A : "Tommorow we will be liers"
Twin B : "Yesterday we were truthtellers"
d) Twin A : "Tommorow we will be liers"
Twin B : "You are 1 year older than I am"
e) Twin A : "We always tell the truth"
Twin B : "We some times tell the truth"
4) If the twins are heard saying the following
on the same day, which choice presents a correct
statement ?
Twin A : "It is Sunday Today" ,Twin
B : "Yesterday was Sunday",Twin
A : "it is summer season now"
a) it is a summer sunday
b) it is a summer monday
c) it is Monday but not summer
d) it is Sunday but not summer
e) it is impossible to determine whether it is
Sunday or Monday.
1.Three neighbors are there. 1st one lends 2nd
and 3rd that many no. of tractors that then already
each had. After
few months, 2nd lends to 1st and 3rd that many
tractors then they had. After a few months 3rd
lends to 1st and
2nd that many tractors then they had. Now each
of them got 24. Find how many they had initially?
Ans: 39 21 12
2. 3 members expect which will be the elected
party among 4 parties namely Flying party, Eatwell,
Good sleep,
Loosing parties X expects that either f.p or
e.w.p will win. Y expects that either f.p or g.s
will win Z expects that
neither e.w.p nor g.s.p will win One part of
each members statement is correct. Which party
will win?
Ans: F.P
3. Three members are hunting in a forest. While
crossing a stream cartridges of two of them gets
wetted up. Then the third person vides his cartidges
equally. After 4 shots of each person, total cartridges
remaining are equal to what each had initially
after sharing. How many total cartridges they
initially they shared?
Ans: 18
Y
Y/3 Y/3 Y/3
Y/3-4 Y/3-4 Y/3-4
3(Y/3-4) =Y/3
Y=18
4. All members belonging to D are members of
A
do........................E.................D
do........................C.................both
A&D
Some members of A does not belong to D
do...............D......................E
5 questions are there.
5. Boys are allowed to watch football at c.v.Raman
auditorium subjected to conditions.
1. the boy over age 16 can wear overcoat
2. no boy over age 15 can wear cap
3. to watch the football either he has to wear
overcoat or cap or both
4. a boy with an umbrella or above 16 or both
cannot wear sweater.
5. boys must either not watch football or wear
sweater.What is the appearance of the boy who
is watching football.
Ans: Who are above 15 and below 16 with cap. :
1.My neighbor has seven children. Every brother
has equal no. of brothers and sisters, but each
sister has twice as many brothers as sisters?
Ans: 4,3
2.There are 11more animals than birds in a pet
shop. If there are as many birds as animals and
if there are as many animals as birds the no.
of legs is 4/5 of the original. How many birds
and animals are there? Ans: 22,11
3. One soap can be made out of the scraps obtained
while preparing 11 soaps. How many soaps can be
prepared out of the scrap obtained out of 251
soaps. (Take all possibilities) Ans: 25
4. There is a 5digit no. 3 pairs of sum is eleven
each. Last digit is 3 times the first one. 3 rd
digit is 3 less than the second. 4 th digit is
4 more than the second one. Find the digit. Ans
: 25296.
5. 2XX
3XX
------
5XX
X4X
XX3
-------
XXXXX
-------
Find out the X's and seven is not there in the
calculation. Ans: 281x332
6. 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 fift guy did the
same. After fifth guy there is no bread left out.
How many bread are there? Ans:31
7. The main line train starts at 5.00AM and the
harbor line train starts at 5.02AM.Each train
has the frequency of 10 minutes. If a guy goes
in the morning at a random time what is the probability
of he getting main line train?
Ans: 0.8
8. There is 66x33m rectangular area. Ram is 11/8
times faster than Krishna . Both of them started
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 15 meters then he changed his mind again
and continued walking .How much Krishna has traveled
by the time they meet?
9. There are some chicken in a poultry. They
are fed with corn. One sack of corn will come
for 9 days. The farmer
decides to sell some chicken and wanted to hold
12 chicken with him. He cuts the feed by 10% and
sack of corn comes for 30 days. So initially how
many chicken are there?
Ans:36
10. Escalator Problem. A person walking takes
26 steps to come down on a escalator and it takes
30 seconds for him for walking. The same person
while running takes 18 second and 34 steps. How
many steps are there in theescalator?
11. 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 them is
true. Which party won.
12. A gardener has a peculiar way of planting
trees. He plants 100 ft. towards east, then he
plants 100ft. towards orth 100ft. towards west,
98fts towards south. From that 98fts towards east,
from that point 96fts towards north. When a man
starts walking in the middle of the path outside
garden. What is the total distance he raveled
to reach the centre. Ans. 5200.
13. There is a T-agency in Mangalore and Bangalore
. Total time taken in 9hrs. Trucks starts from
both points at 6 a.m to 9 a.m in one hr intervals.
a. The truck when starts at 6 a.m in the morning
mets how many trucks on the way.
b. How many trucks a truck which starts at 9 p.m
will meet. For a and b Ans.9
14. Ramesh has X rupees, on Monday beginning
of the month. On every Monday his mother gives
10 rupees as pocket money. He spends half of what
he had during that week on the 4th Monday of the
month, when his mother gave his pocket Monday,
he had 27 1/2 rupees . What was the Money he had
in the beginning.
Ans. 70/-
15. R,S,T,U,V are contesting for a medal. Evaluation
is over, sasy English, Maths, Physics, Chemistry
and Hindi. Toper will get 5 marks, least will
get 1mark. No ties any where. R get 24 and won
the overall medal. V-get I st in Chemistry and
3 rd 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.
16. There are 3 types of castes, say A,B,C. A-
always tells truth, B- always false, C- alternating.
X says --> Z is of C type, I am of A type
Y says --> X is a B type.
Z says --> X is of B type.
Who is of which type.
17.. There are two families Sinha and Gupta with
2 children each. Pratap, Praveen, Lalit and Rajesh
are 4 children. Each family has 2 children. All
the children ages are approx. to the nearest integer.
We have to find which all children are in which
family and their corresponding ages which are
<11.
1. Praveen is the eldest one.
2. Pratap is 5 years older then the youngest of
the family .
3. Lalit is 1/2 of the age of the eldest of the
Gupta family.
18. In a bank there is a Teller, Manager and
Cashier says x,s etc.,
1. Teller is one who earns least
2. X has married S's sister.
3. Cashier earns more than manager.
Find out who is who.
ans. Cashier's wife is manager, X is the cashier,
S is sister of the manager.