Get premium membership and access revision papers, questions with answers as well as video lessons.
Dbit 103 Foundation Of Mathematics Question Paper
Dbit 103 Foundation Of Mathematics
Course:Diploma In Business Information Technology
Institution: Kca University question papers
Exam Year:2012
UNIVERSITY EXAMINATIONS: 2011/2012
EXAMINATION FOR THE DIPLOMA IN BUSINESS INFORMATION
TECHNOLOGY
DBIT 103 FOUNDATION OF MATHEMATICS
DATE: MARCH, 2012 TIME: 1½ HOURS
INSTRUCTIONS: Answer Any Three Questions
QUESTION ONE
a) Define the following terms and give an example for each (9Marks)
i. Tautology
ii. Contradiction
iii. Contingency
b) Determine the hypothesis and consequent for each of the following conditional
Statements. Then determine the truth value (6Marks)
i. The moon is square only if the sun rises in the east
ii. 1 and 3 are prime if 1 multiply 3 is prime
c) Construct a truth table for (~p ? q) ? ~q. (5Marks)
QUESTION TWO
a) Differentiate between the following terms and state an example for each (4Marks)
i. Primitive propositions
ii. Compound propositions
b) Given the following statement “If you study hard, then you will not fail foundation of math”. Write
its
2
i. Negation
ii. Contra positive
iii. Converse
iv. Inverse (4Marks)
c) State four types of relationships as used in function and give example for each (4Marks)
d) Differentiate between universal quantification and existential quantification (4Marks)
e) Express the statement “there is a number x such that when it is added to any number, the result is
that number, and if it is multiplied by any number, the result is x” as a logical expression.(4Marks)
QUESTION THREE
a) Negate the following quantified statements (4Marks)
i. Every student in this class has visited Canada
ii. There is a student in this class with a mobile phone
b) Find the domain and range of the following functions
i) Y=24/v(X2-16) (3 Marks)
ii) Y=15/X2-2X+1 (4 Marks)
c) Find the inverse of the following functions
i. f(x)=2X+3
ii. f(x)=3/(X2+1)
iii. f(x)=4/(2X3+2) (9Marks)
QUESTION FOUR
a) Define the following terms giving examples of how each is represented (10Marks)
i. Real numbers
ii. Irrational numbers
iii. Rational numbers
iv. Universal set
v. Null set
b) Discuss any three properties of set (2Marks)
c) State the following laws of set theory
3
i. de morgans laws
ii. commutative laws
iii. assosiative laws
iv. idempotent laws (8Marks)
QUESTION FIVE
a) Solve, write your answer in interval notation and graph the solution set. (4Marks)
b) Prove that if n is an integer and n3+5 is odd, then n is even. Use (6Marks)
i. Proof by contradiction
ii. Indirect method of proof
c) Explain the following properties of functions (6Marks)
i. Injection
ii. Surjective.
iii. Bijective
d) Given the following Sets find (4Marks)
i. A U B U C
ii. B n c
A = {1, 2, 3, 4}
B = {5, 6, 7, 8}
C= {6, 7, 9}
More Question Papers
Popular Exams
Return to Question Papers