University of Dublin
Trinity College
Faculty of Engineering and Systems Sciences
Department of Computer Science
Diploma in Information Systems
Junior Freshman
Business Methods
Dr. Brendan Browne
Test Paper Part 2
Please answer all Questions
2015
Question 1
(a) A person invests €15000 at 8% annual rate compounded monthly. Find the
future value (FV ) in
(i) 9 months (ii) 15 months and (iii) 6.5 years.
[ 3 marks]
(b) Convert 45.67 8 and CD95.616 to their binary form.
[ 4 marks]
(c) Convert 110110110.011 to decimal and then to octal and hexadecimal
[ 9marks]
 17 9  1 
 6 8 4 




(d) If A  11 5 8  and B   8 3 7 
  11 7  9 
 5 11 12 




Find (i) A  B , (ii) AB and (iii) BA .
Write a few lines of pseudocode to add two matrices A and B both
of order m n .
[ 9 marks]
Question 2
(a) Consider the function f : 4,5,9  A, B, Cgiven by f (4)  A, f (5)  C and
f (9)  B . Draw its arrow diagram and state its domain, codomain and range.
Is it (i) onto and (ii) one-to-one ? Explain. Does it have an inverse f 1 and if so
what is it ?
[ 5 marks]
(b) Briefly explain in the light of (a) why the ASCII code is a function with an
inverse.
[ 2 marks]
(c) Find the solution of the two simultaneous equations
7 x  11y  29
3x  5 y  7
by plotting the two equations and finding their
point of intersection. Use graph paper. Confirm your answer
algebraically.
[ 9 marks]
(d) The demand and supply functions for a good are given by
Pd  180  0.5Qd -----demand function
Ps  60  0.7Qs -----supply function
Calculate the equilibrium price and quantity graphically. Confirm your answer
algebraically.
[ 9 marks]