Q.1

(a) A father has two sons. Four years ago, the father was three times
as old as his eldest son and four years hence, the eldest son will
be twice as old as the younger son. If the younger son is now 8 years
old, find the father’s present age.

(b) Summarize the working of any two of the following:

(i) E-mail

(ii) Telnet

(iii) Search Engine

(c) Explain the features of the following with example:

(i) Goal Seek

(ii) Solver

(d) Suppose m & n are integers, such that

N^{2} +1=2m. Prove that m is the sum of squares of two integers.

(e) What is domain name? Name any four top domain names.

(f) Explain, with example, how charts in Excel are used in analysis.

Q.2

(a) What do you understand by the term Internet Protocol? Explain
HTTP protocol and what it is used for.

(b) If three persons (equally able) can jointly finish/complete three
jobs in three days, then 100 persons (of the same ability) can jointly
of 100 such jobs in how many days?

Q.3

(a) Explain the following functions giving examples for each:

(i) LEN ( )

(ii) FLOOR ( )

(iii) CEILING ( )

(b) Comment on the statement “Every graph is not an Euler’s
graph”. Using a diagram, illustrate different parameters which
decide that a graph can have an Eulerian walk or not.

Q.4

(a) What do you understand by the term Custom Controls? List the sequence
of steps involved in creating custom controls.

(b) How do we use FTP? Discuss any three FTP commands.