### VIRTUSA PAPER - FEB 2004 - HYDERABAD

SECTION 1 (Analytical and Logical)

1.1 2 3 2 5 6 7 8 3 find the next term in the series

Ans:

Reason:

2.How can u place 4 coins in 2 lines so that each line should contain 3 coins

Ans:I wrote, it maynot be possible

3.Find the odd word

ALPHA

DELTA

SIGMA

BETA

Ans:I think it is Delta,

Reason: as it has specific meaning(addition)and others don't have such meaning,

just used for representation purpose.(i think so)

4.There was an addition given as follows

SATURN + URANUS = PLANETS

the solution is not encoding the entire problem but to

find coding for 3 alphabets

Ans:

Key Steps:

5.There was a set of words given as follows

SUN,MER,VEN,---,...........,SAT,---,NEP,PLU

(I don't remember exactly but, all are the names of planets in solar system with

notation of each planet using 3 letters)

The question was to find out the appropriate words in the given blanks

***SOME CHOICES WERE GIVEN***

Ans:

Reason:

6.How can u get 81 using the digits 2,3,25,50,75,100 only once using any of the arithmatic

operators

Key Steps: 50+(100/75*3)+25+2

7.(This is a real sitter, takes a long time)

A man have some three types boxes viz Huge,Large,Small

He took 11 of huge boxes and put on a table. And at random he has taken some of them

and placed 8 large boxes in each of the boxes.And after that he has placed 8 small boxes

in some large boxes at random. By the end if he found 102 boxes empty, how many boxes

are there on the table?

Ans:

Key Steps:

8.If u have a large number of Knights and a chess board.The problem is to find the way of

arranging the Knights on the board so that no Knight attacks the other.

(He has given mathematical relations that represents how a knight can move on the chess

board as we know it as 'L', i'm not giving such stuff)

Ans:

Key Steps:

9.You are given a bunch of threads each having differing length.No two thereads have same

thickness and no thread has same thickness all its length. But it is certified that any thread

when lit burns itself in exactly 12 mins.

The question is you are asked to find an elapsed time of 9 minuites.How can u find it out and

how manythreads do u want for this?

Ans:

Key Steps:

(I think most of the questions are covered here. But there may be a couple of questions left

which i can't remember in this Analytical and logical reasoning, OK)

SECTION 2 (Writing)

The topic to Write was on "Connecting the rivers in India".

SECTION 3

You can write the programs in this section using any programing language

3.1)

1.There was a pyramid given as follows

1

2 3

4 5 6

7 8 9 10

11 12 13 ...

The three dots are given as a part of the specification.

The above pyramid is to be printed when input number 13 is given.

Write a program to print the above pyramid.

2.Write a function which returns a substring in the string 'Sigma' (character given)which starts with

'Alpha' and ends with 'Thita'

3.You have a job in which you have to take time stamps and store them.

So Write a datastructure that can minimize the storage requirements of Year,Month,Date,Hour,Minuite.

4.Write a program to find the four digited numbers, which are perfect squares, and all the digits in that

number are even.

(i think there is another program given which i don't remember)

3.2) THIS CARRIES 15 MARKS

The types of problems such as prob #4 from the section

1, (SATURN+URANUS=PLANETS) are called cryptorithms or alphabeticalcoding.

Where an alphabet is assigned a code so that the problem is to be solved using given summation.

Write a program to solve such questions, which prints the letter and its corresponding digit that satisfies

the given addition.

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