Puzzles

PUZZLES

1.Each alphabet A,B.. Z is a constant.A=1,B=2,C=3^2,D=4^9 n so
on.Each letter is assigned a value -the position of that letter
raised to the value of preceding alphabet.(C = 3 ^B,D= 4 ^ C n so on)
Compute the numerical value of (X-A)(X-B)(X-C)....(X-Y)(X-Z).

2.Mr. T has a wrong weighing pan.One arm is lengthier than other.1
kilogram on left balances 8 melons on right.1 kilogram on right
balances 2 melons on left.If all melons are equal in weight,what is
the weight of a single melon?

3.In a game of dice, 2 dice thrown at each turn.The score at each
turn is taken as the product of number on 2 dices.there were five
turns(rolls).second roll is 1 less than first n (like this ... the
relationship between third n second,third n fourth,fourth n fifth )
were given.Find the score in first roll,second roll,third roll,fourth
roll.(jus giving an idea abt question and don know the exact
relationships).

4.PURPLE:these are always poisonous if red are.
YELLOW:six months in a year they are safe.
GREEN: always safe to consume if purple are poisonous.
RED:six months in a year poisonous.

the colors are colors of mushrooms available.AT this time
which one is safe to consume?

5.5 letters A,B,C,D,E represent different digit
given;
AB * CD = EEE and CC = sumthing (i don remember).
AB* D = ?(get 2nd relation from other frnds)

6.

G: I am 22
M = G + 2
H = G - 1
H: I am not the youngest.
difference between M & H is 3
G is 25.

M: M is younger than G.
G = 23.
H = G+2.
Mr.G,Mr.M,Mr.H made only one statement false.
Find the ages of all three.
(I am not sure abt the statements jus chk it out with others)

7.Tom sent some stamps to KIM and JOANE.
tom asked kim abt how much each of them got
kim replied 'Joane got three more than half of wat she got,if
i had kept three more than half of wat she got.'
tom said'OK how much did u keep?"
Kim replied "jus 2 more than wat jone got!".
How many stamps did TOM send?

8.A cyclist got his tyre punctured when he had covered two third of
the distance to be covered.Finishing on foot,He takes twice the time
taken before to reach the destination.How fast does he ride than
walking?

3 more problems were asked i don remember the questions correctly :(

the puzzle section lasted for 1 hour.

ENGLISH:

Exercise 1: a passage was given n qs based on passge (5 qs)
Exercise 2: 5 questions.each question had 4 sentences to spot the
incorrect sentence.
Exercise 3: conversation between father ans son (10 questions )-to
fill in the blanks in the dialog or sentences with appropriate tense
of the verb.(a multiple choice question)
Exercise 4: 5 questions -each question a sentence with 2 blanks .To
find out the most appropriate word pair that fits in the sentence.
Exercise 5: 5 questions - each question had two sentences .2 differed
in any 1 word.the words may be homophones/misspelt one.
Exercise 6: 5 questions - given a sentence with sosme phrase in
it /directly a phrase .we have got to choose the meaning of the
phrase from choices.

All together there were 50 qs in english.

Infosys Interview Test 2

Part 1.


(1) 9 cards are there. u have to arrange them in a 3*3 matrix.

cards are of 4 colors.they are red,yellow,blue,green.

conditions for arrangement: one red card must be in first row

or second row.2 green cards should be in 3rd column.Yellow

cards must be in the 3 corners only. Two blue cards must be in

the 2nd row. Atleast one green card in each row.

Solution:

Yello Red Gren

Blu Blu Gren

Yello Gren Yello



2. 4 cards are placed on a table, each card has two colors. U

don't know the color of the back side of eachcard.4 persons A

B C and D are sitting on the table before the cards. They can

see Red, Green Red and blue .Out of the 4 poeple 2 always lie.

They see the color on the reverse side and give the following

comment

A: Yello/green

B: Neither Blue/nor Green

c: Blue/Yello

D: Blue/ Yello

find out the color on the other side of the 4 cards.



3.Red and brown tribes [FROM BARRONS GRE] Conditions to

get married with each other.



4. Venn diagram regarding Rich, muscular, soft-skinned,

employed, etc.,( Refer BARRONS GRE GUIDE)



------------------------------------------------------------------------

PART 2.

-------

1. SAKUNTALA DEVI'S PUZZLE BOOK : PUZZLES TO PUZZLE YOU.

problem no: 3. ( Brothers and Sisters)

A family I know has several children. Each boy in this

family has as many sisters as brothers but each girl has

twice as many brothers as sisters. How many brothers

and sisters are there?

ans: 4 boys and 3 girls.



2. No. of animals is 11 more than the no. of birds. If the

no. of birds were the no. of animals and no. of animals

were the no. of birds( ie., interchanging no.s of animals

and birds.), the total no. of legs get reduced by one fifth

(1/5). How many no. of birds and animals were there?

ans: birds:11,animals:22



3. In a soap company a soap is manufactured with 11 parts.

For making one soap you will get 1 part as scrap. At the

end of the day u have 251 such scraps. From that how many

soaps can be manufactured? ans: 22 + 2+ 1 = 25.



4. 2 * * |

3 * * | No. 7 does not occur in this

---------------- |

5 * * | multiplication.

* 4 * |

* * 3 | Find the product.

---------------- |

* * * * * |

---------------- |

--------------------------------------------------

ans 2 8 1

3 3 2

-----

5 6 2

8 4 3 0

8 4 3 0 0

---------

9 3 2 9 2

---------



5. 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.



6. There are five thieves, each loot a bakery one after the

other such that the first one takes 1/2 of the total no.

of the breads plus 1/2 of a bread. Similarly 2nd, 3rd,4th

and 5fth also did the same. After the fifth one no. of

breads remained are 3. Initially how many breads were there?

ans : 31.



7.ESCALATOR PROBLEM OF SAKUNTALA DEVI 'PUZZLES TO PUZZLE'book.

Problem No: Problem 27( Down the escalator)

ans : the no of steps in the stair way : 46.



8.Harbour line and Main line Problem of Sakuntala Devi Puzzle

book. Ans : 4/5.

( More Puzzles book)



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?



10.Two people X & Y walk on the wall of a godown 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.



11.Problem from SAKUNTALA DEVI 'PUZZLES TO PUZZLE U'.

Problem no: 23( Walking back to happiness.)

The walking time : 55 mins.

Infosys Interview Test 1

1. Father's age is three years more than three times the son's age.
After three years, father's age will be ten years more than twice the
son's age.
What is the father's present age.

Ans: 33 years. (2 marks)


2. Find the values of each of the alphabets.

N O O N
S O O N
+ M O O N
----------
J U N E

Ans: 9326 (2 marks)


3. There are 20 poles with a constant distance between each pole
A car takes 24 second to reach the 12th pole.
How much will it take to reach the last pole.

Ans: 41.45 seconds (2 marks)
Let the distance between two poles = x
Hence 11x:24::19x:?


4. A car is travelling at a uniform speed.
The driver sees a milestone showing a 2-digit number.
After travelling 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.
What is the average speed of the driver.

Ans: 45 kmph (4 marks)


5. The minute and the hour hand of a watch meet every 65 minutes.
How much does the watch lose or gain time and by how much?

Ans: Gains; 5/11 minutes (4 marks)


6. Ram, Shyam and Gumnaam are friends.
Ram is a widower and lives alone and his sister takes care of him.
Shyam is a bachelor and his neice cooks his food and looks after his
house.
Gumnaam is married to Gita and lives in large house in the same town.
Gita gives the idea that all of them could stay together in the house
and share monthly expenses equally.
During their first month of living together, each person contributed
Rs.25.
At the end of the month, it was found that Rs 92 was the expense so the
remaining amount was distributed equally
among everyone.
The distribution was such that everyone recieved a whole number of
Rupees.
How much did each person recieve?

Ans. Rs 2 (4 marks)
(Hint: Ram's sister, Shyam's neice and Gumnaam's wife are the same
person)


7. Four persons A, B, C and D are playing cards.
Each person has one card, laid down on the table below him, which has
two different colours on either side.
The colours visible on the table are Red, Green, Red and Blue.
They see the color on the reverse side and give the following comment.

A: Yellow or Green
B: Neither Blue nor Green
C: Blue or Yellow
D: Blue or Yellow

Given that out of the 4 people 2 always lie find out the colours on the
cards each person.


8.


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Infosys Test #2

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1. At 6'o a clock ticks 6 times.
The time between first and last ticks is 30 seconds.
How long does it tick at 12'o clock.

Ans: 66 sec. (2 marks)


2. Three friends divided some bullets equally.
After all of them shot 4 bullets the total number of bullets remaining
is equal to the bullets each had after division.
Find the original number divided.

Ans: 18 (2 marks)

Initially . x x x
Now x-4 x-4 x-4
Equation is 3x-12 = x


3. A ship went on a voyage.
After it had travelled 180 miles a plane statrted with 10 times the
speed of the ship.
Find the distance when they meet from starting point.

Ans: 200miles. (2 marks)
Distance travelled by plane = 1/10 distance travelled by ship + 180


4. Complete the Table given below:

Three football teams are there. Given below is the group table. Fill
in the x's

Played
Won
Lost
Draw
Goals For
Goals Against
A
2
2
x
x
x
1
B
2
x
x
1
2
4
C
2
x
x
x
3
7




Ans: The filled table is given below (4
marks)

Played
Won
Lost
Draw
Goals For
Goals Against
A
2
2
0
0
7
1
B
2
0
1
1
2
4
C
2
0
1
1
3
7




5. There are 3 societies A, B, C.
A lent cars to B and C as many as they had already.
After some time B gave as many tractors to A and C
as many as they have. After sometime c did the same thing. At the end of
this transaction each one of them had 24.
Find the cars each orginally had.

Ans: A had 39 cars, B had 21 cars & C had 12 cars (4
marks)


6. There N stations on a railroad.
After adding X stations on the rail route 46 additional tickets have to
be printed.
Find N and X.

Ans. x=2 and N=11

Let initially, N(N-1) = t
After adding, (N+X)(N+X-1) = t+46
By trail and error method (4 marks)


7. Given that April 1 is tuesday.
A, B, C are 3 persons told that their farewell party was on

A - May 8, thursday
B - May 10,tuesday
C - June 5, friday

Out of A, B, C only one made a completetly true statement concerning
date,day and month
The other told two one told the day right and the other the date right..
What is correct date, month, day.

Ans: B - (May 10) SUNDAY
C - June 6 (Friday). (5 marks)


8. The Bulls, Pacers, Lakers and Jazz ran for a contest.
Anup, Sujit, John made the following statements regarding results.

Anup said either Bulls or Jazz will definitely win
Sujit said he is confident that Bulls will not win
John said he is confident that neither Jazz nor Lakers will win

When the result cameit was found that only one of the above three had made a
correct statement.
Who has made the correct statement and who has won the contest.

Ans: Sujith; Lakers (5marks )


9. Five people A ,B ,C ,D ,E are related to each other.
Four of them make one true statement each as follows.

(i) B is my father's brother.
(ii) E is my mother-in-law.
(iii)C is my son-in-law's brother
(iv)A is my brother's wife.

Ans: (i) D
(ii) B
(iii) E
(iv) C (10 marks)


10. Some statements are given below:

L says all of my other four friends have money
M says that P said that exactly one among them has money
N says that L said that precisely two among them have money
O says that M said that three of the others have money
P, L and N said that they have money

All the above statement are false..
Who has money & who doesn't have any money?

(5 marks)


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Infosys Test #3

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1. Mr.Mathurs jewels have been stolen from his bank locker .
The bank has lockers of 12 people which are arranged in an array of 3
rows and 4 columns like:

1
2
3
4
5
6
7
8
9
10
11
12


The locker belonging to JONES was to the right of BLACK'S locker and
directly above MILLAR'S.
BOOTH'S locker was directly above MILLAR'S.
SMITH'S locker was also above GRAY's (though not directly).
GREEN'S locker was directly below SMITH'S.
WILSON'S locker was between that of DAVIS and BOOTH.
MILLAR'S locker was on the bottom row directly to the right of HERD'S.
WHITE'S locker was on the bottom right hand corner in the same column
as BOOTH'S.

Which box belonged to Mr.Mathurs?

Ans: Box number 9 belongs to Mr.Mathurs.


2. Fifty minutes ago if it was four times as many minutes past three
o'clock,how many minutes is it to six o'clock?

Ans: Twenty six minutes.


3. If a clock takes 7seconds to strike 7, how long will the same clock take
to strike 10?

Ans: The clock strikes for the first time at the start and takes 7 seconds
for 6 intervals-thus for one interval time
taken=7/6.
Therefore, for 10 seconds there are 9 intervals and time taken is
9*7/6=10 and 1/2 seconds.


4. Three criminals were arrested for shop lifting.
However, when interrogated only one told the truth in both his
statements, while the other two each told one true
statement and one lie.
The statements were:

ALBERT :(a)Chander passed the merchandise. (b)Bruce created the
diversion.
BRUCE :(a)Albert passed the merchandise. (b)I created the
diversion.
CLIVE :(a)I took the goods out of the shop. (b)Bruce passed them
over.

Ans: Albert passed the goods.Bruce created the diversion..Clive took the
goods out of the shop.


5. Everyday in his business a merchant had to weigh amounts from 1 kg to 121
kgs, to the nearest kg.
What are the minimum number of weight required and how heavy should they
be?

Ans: .The minimum number is 5 and they should weigh 1,3,9,27 and 81 kgs.


6. A hotel has 10 storeys.Which floor is above the floor below the floor,
below the floor above the floor, below the
floor above the fifth.

Ans: The sixth floor.


7. Seven members sat around a table for three days for a conference.
The member's names were Abhishek, Amol, Ankur, Anurag,Bhuwan ,Vasu and
Vikram.
The meetings were chaired by Vikram.
On the first evening members sat around the table alphabetically.
On the following two nights, Vikram arranged the seatings so that he
could have Abhishek as near to him as
possible and abesent minded Vasu as far away as he could.
On no evening did any person have sitting next to him a person who had
previously been his neighbour.
How did Vikram manage to seat everybody to the best advantage on the
second and third evenings?

Ans:
Second evening:Vikram,Ankur,Abhishek,Amol,Vasu,Anurag and Bhuwan.
Third evening :Vikram,Anurag,Abhishek,Vasu,Bhuwan,Ankur,Amol.


8. Two trains start from stations A and B spaced 50 kms apart at the same
time and speed.
As the trains start, a bird flies from one train towards the other and
on reaching the second train, it flies back to the
first train.This is repeated till the trains collide.
If the speed of the trains is 25 km/h and that of the bird is 100km/h.
How much did the bird travel till the collision.

Ans: 100 kms.


9. Four prisoners escape from a prison.
The prisoners, Mr East, Mr West, Mr South, Mr North head towards
different directions after escaping.
The following information of their escape was supplied:

The escape routes were The North Road, South Road, East Road and West
Road.
None of the prisoners took the road which was their namesake.
Mr.East did not take the South Road
Mr.West did not the South Road.
The West Road was not taken by Mr.East

What road did each of the prisoners take to make their escape?

Ans: Mr.East took the North Road
Mr.West took the East Road
Mr.North took the South Road
Mr.South took the West Road.


10. Complete the series:
5, 20, 24, 6, 2, 8, ?

Ans: 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).