INFOSYS IITB 2000

**********************INFOSYS-2000**********************************
IIT BOMBAY 16-july-2000

Puzzles are good, Thing which is more important is time....
total marks are 50.
Maximum ppl soved 5-6 puzzles.
Those who Scored 30 and above are called for interview......

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1. Persons A and B. Person A picks a random no. from 1 to 1000.Then
>person B picks a random no. from 1 to 1000. What is the probability of B
>getting no. greater then what A has picked.

2. Some free body diagram is given
> 3 | 9
> --------------------------------
> 2 | 4 |
>~~~~~~~~~~~~~~~~~ C
>| 5 | 9
>15 ~~~~~~~~~~~~~~~~
> 3 | 2 |
> ~~~~~~~~ 80
> | |
> A B
>
>For equilibirium find values of A,B,and C.
>
3. Three boys and three girls brought up together.
Jim,Jane,Tom,Virgina,Dorthy,and XXX.
They marry among themselves to form three couples.
Conditions are :
i) Sum of their ages would be the same.
ii) Virgina was the oldest.
iii) Jim was dorthy's brother.
iv) Sum of ages Jane+Jim and Tom+dorthy is same.
Give the three couples.

4. X^(1/3) - X^(1/9) =60
Solve for X.
ans: 4^9

5. X Z Y
> +X Y Z
---------
Y Z X
Find the three digits.
ans:

6. Two boats start from opposite banks of river
perpendicular to the shore.One is faster then the other.They meet at 720
yards from one of the ends. After reaching opposite ends they rest for
10mins each. After that they start back. This time on the return journey
they meet at 400yards from the other end of the river. Calculate the
width of the river.
ans:1760

7. Basketball Tournament organisers decided that two consecutive defeats
will knock out the team. There are 51 teams participating. What is the
maximum no. of matches that can be played.
ans: 101

8. Three guys are there A,B,C. They have three
subjects to take from
Biology,Mathematics,Physics,Chemistry. The four
statements of the guys are
given.Only two statements are correct from them
i)
-----X--- NOT SURE --- X -----

9. The Master says to his grandmaster that me and
my three cousins have
ages in prime nos. only.Summation of our ages is
50. Grandmaster who knows
the age of the master instantly tells the ages of
the three cousins.
Tell the ages of three cousins.( 1 is not
considered as prime no.)
ans: 43,3,2,2

10) There are two families Alens and smiths. They have two children each.
There names are A,B,C,D whose ages are different and ages are less then or
equal to 11. The following conditions are given.
i) A's age is three years less then his brother's age.
ii) B is eldest among the four.
iii) C is half the age of the eldest in Alens family.
iv) The difference in sum of the ages of Alens children and smiths children is
same as that of five years ago.
Find the ages of all the childeren.
Attached Message

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