Infosys Placement Papers

First of all start with R.S.Aggarwal’s
Mathematics [ MBA ].Then go practice Shakuntala Dev’s puzzle
books[Puzzles to puzzle you and More puzzles to puzzle you].Then practice George
Summers’ Mind Teasers.The main point is try to do as many previous question
papers as possible.

Visit discussionworld.com for latest question
papers.

Questions

1. Lucia is a wonderful grandmother.Her age is
between 50 and 70.Each of her sons have as many sons as they have brothers.Their
combined number gives Lucia’s age.What is the age?

2. There are two
towers A and B.Their heights
are 200ft and 150ft respectively and the foot of the towers are 250ft apart.Two
birds on top of each tower fly down with the same speed and meet at the same
instant on the ground to pick a grain.What is the distance between the foot of
tower Aand the grain?

3. Grass in lawn grows equally thick and in a
uniform rate.It takes 40 days for 40 cows
and 60 days for 30 cows to eat the whole of the grass.How many days does it take
for 20 cows to do the same?

4. Four tourists A,B,C,D and four languages
English,German,French and Italian.They are not able to converse among themselves
in one language.Though A does not know English he can act as an interpreter
between B and C.No one spoke both French and German.A knows German and was able
to converse with D who doesn’t know a word in German.Only one language was
spoken by more than two persons.Each spoke two languages.Find who spoke what.

5. There is a five digit number.It has two prime digits(1 is not a prime
number).Third digit is the highest.Second digit is the lowest.First digit is one
less than the third digit.The fifth digit is half of the fourth.The sum of 4th
and 5th is less than the first.Find the number.

6. 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.No card has the same color on
both sides.The colours visible on the table are Red, Green, Red and Blue
respectively.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.

7. A software
engineer returns from America. As he is fat he decided to have evening
walk.....he started at 3pm. he walks along the road at 4km/hr for some time then
he climbs a upward slope area at 3km/hr then downwards at the rate of 6km/hr.
then back to the home through the road at 4km/hr. what is the distance he
covered in one way if he reaches back home at 9pm

8. A 1 k.m. long wire
is held by n poles. If one pole is removed,the length of the gap becomes 12/3m.
What is the number of poles initially?

9. Find the digits X,Y,Z

X X X X

Y Y Y Y +

Z Z Z Z

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

Y X X X Z

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

10. In a race Andrew beats Jim.Jack is not the last.Dennis loses to both
Jack and Lucia.Jim beats Jack.Who won the race?

Answers

1. Let the no. of Lucia’s sons = n

No. of brothers for each son =
n-1

No. of sons for each of Lucia’s son = n-1

Lucia’s age = n-1 *
n-1

= a perfect square between 50 and 70

= 64

2.

200

150 Since the two birds travel with the same

speed and meet at
the same instant the

distance traveled by them is equal.

By Pythagoras
theorem,

200*200 + x*x = (250-x)*(250-x)+150 * 150

x = 90ft

3. g - grass at the beginning

r - rate at which grass grows, per
day

y - rate at which one cow eats grass, per day

n - no of cows to eat
the grass in 96 days

g + 40*r = 40 * 40 * y------- 1

g + 60*r = 30 *
60 * y------- 2

g + n*r = 20 * n * y-------- 3

from 1 and 2

r=10y g=120r

from 3

nr=120r

Solving, n = 120

4.
Think logically.

Ans –

A B C D

German

Italian French

Italian German

English Italian

English

5. Ans – 71842

Hint – Start with the last condition.

6. Try all possible
combinations.Keep in mind two things.THE combination obtained should satify the
conditions

1.Two are lying and two are telling the truth

2.Neither two
cards are similar nor are two sides of a card are of same color

Ans

A Yellow

B Yellow

C Green

D Red

7. Let the dist
traveled on level ground = x and on the hill be y.

x/4 + y/3 + y/6 + x/4 = 6

(x+y)/2 = 6km

8. Let the no. of poles originally = n

After
taking away one pole

(n-1)*12/3 = 1000

n = 251

9. x+y+z = z
==> x+y = 10

max value for y = 1

hence x = 1

also, (carry)1+x+y+z
= x ==> 1+y+z = 10

hence z=8

X Y Z

9 1 8

10. The
possible positions in the race are,

Andrew Andrew

Jim Jim

Jack
Lucia

Lucia Jack

Dennis Dennis

In either case Andrew is the
winner.

Edited by rakesh_vyom -
24Jul2006 at 1:34am
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