IIT Bombay (2000) Infosys paper.


1. Mr A chooses a numberfrom 1 to 1000. And then Mr B chooses a
number from 1 to 1000. What is the probability that the number chosen by
Mr. B is greater than Mr.A ? ANs. .4995


2. A very easy question of Moment Balance...

3. x^(1/9)-x^(1/3)=60 . find x? Ans: 4^9

4. In a tournament, if a team looses two matches then it is disqualified
and there are 51 teams. What is the maxinum number of matches that can be
played in the tournament ? ANs. 101

5. x z y
+  x y z
---------
    y z x
-----------  Find x,y,z ?
Ans x=4, y=9, z=5


6. Two boats start from opposite ends of a river at the same time with a
constant velocity. They pass each other at a point where the distance
from
the nearest end is 720 yards. They reach the banks and wait for 10
minutes
each and return. Now they cross each other at a point 440 yards from the
other end. What is the width of the river ? Ans. 1760 yards

7. The ages of a master and his three distant cousins are all prime
numbers and their sum of ages is 50 ? What is age of each if the masters
age is known? Ans. 3 5 11 And masters is 31

Two questions were of conditions and logic application....

10. two families allen and smiths and each has two boys. The four boys
are
A,b,c,d and each is less than 12.

four conditions

1) b is the eldest
2) a is three years younger than his brother
3) d is double the age of the younger of the smiths sons.
4) the difference in the total of ages of each family was same five years
back

What is each's age and what family each belongs to ?

Ans  a allen 7
     b smith 11
     c smith 5
     d allen 10

And one essay : 1) Internet REvolution
             2) The role of media in shaping the youth of India

______________________________________________________________________


INFOSYS 2000
Intsitute of Technology,
BHU
Date - 03.08.00

In all there were ten questions.

1. A man decides to quit smoking after he had finished 27 cigarettes that 
were present in his pocket. For one cigarette that he smokes, he leaves one third
of it. he finds that using 3 butts he can make 1 cigarette. Find the no. of
cigarettes he smokes before quitting.


2.There are 100 balls in a bag: 20 white, 20 yellow, 20 red, 20 green and 20
black. A man is blindfolded , then find the minimum no. of balls he must 
take
out so that there is atleast a pair of balls.


3."I spend one-sixth of my age as a youth",remarked the boss," one-twelfth 
in
a liquor shop, and one-seventh and five years in politics and matrimonials. 
At
that time Jimmy was born. Four years back  Jimmy was selected as a 
legislator
when he was but half my present age." What is the age of the boss?


4.Seven persons A,B,C,D,E,F and G have one day as a holiday in a week. No 
two
persons have the holiday on the same day. The folloiwng conditions are 
given:
~ G's holiday is three days after that of B's.
~ D's holiday is three days after the day before E's holiday.
~ A's holiday is the day after C's
~ F's holiday is midway between that of B's and C's on thursday.
Find the holidays of A, B, C, D.


5. Smith, Jones and Denver are great friends. Smith's wife has died and he
stays with his niece. Denver is also a widower and his daughter keeps him.
Jones stays with his wife. They decide among themselves that  all of them
should stay together. On the beginning of the month each person was to give
Rs. 25 for the household expenses. The total monthly expenditure came out to
be Rs. 92. The money left was evenly divided among the members without any
fractions. Find the amount each person gets.


6.A thief broke into a jewellery shop and took all the diamonds. Later his
conscience told him to take only half of it. However he took two more
diamonds. A second thief then broke into the shop and he also stole two more
than the half present. Similarly, the third and the fourth thief came and 
did
the same thing. When the fifth thief came to steal there were no diamonds
left. Find the no. of diamonds that were present initially .


7.  S E N D
  + M O R E
--------------
  M O N E Y

Find the values of S,E,N and D if each letter indicates a different digit.


8.There are three men Drake, Cutler and Barber. Their wives are Dorthy,  
Beth
and Lousie not necessarily in the same order. Their sons are Allan, Victor 
and
Henry again need not to be in the same order.
Drake is neither Lousie's husband nor Henry's father.
Beth is neither Cutler's wife nor Allan's mother.
If Allan is Drake's or Cutler's son then Lousie is Victor's mother.
If Lousie is the wife of Cutler, then Dorthy is not Allan's mother.
Find :
---------------------------------------------------------------------
MAN        Drake                Cutler              Barber

WIFE

SON
---------------------------------------------------------------------


9. There are three women Attractive, Delectable and Fascinating who belong 
to
three different tribes Pukka, Wotta and Summa not necessarily  in the same
order.
Pukka always tells truth, Wotta always lies while Summa says true and false
alternately( or false and true)
They participated in a charming personality contest.
Thereafter a conversation between the three is reported as:
Attractive: Delectable is pukka.
            Delectable is more charming than Fascinating.
Delectable: Attractive is pukka.
            Fascinating is Wotta.
Fascinating: Out of all of us, the one who speaks most truth is the
     least charming.
             Attractive is surely not the most charming among the three
      of us.
Find who belongs to which tribe.
Also find the order in which they won the charming personality contest.


10. Question from Barron's gre : Practice Exercises of analytical section 
from
Que. no. 25 - 28. (Professor Kittredge's literature ----)




Answers:
1. 40
2. 6
3. 84
4. A-Sunday, B-Tuesday, C-Saturday, D-Wednesday
5. Rs. 2
6. 60
7. S=9, E=5, N=6, D=7
8. Drake-Beth-Victor, Barber-Lousie-Allan, Cutler-Dorthy-Henry
9. Pukka-Fascinating, Wotta-Delectable, Summa- Attractive
   Order of the charm: Delectable, Attractive, Fascinating
10. see gre guide

Essay:
1. Role of the government in the developing nations.
or
2. India as the new global powerhouse of the 21st century. If yes -why , if 
no
- why?

"written"*************************************

