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CSC102 Board Exam |Questions with 100% Correct Answers
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CSC102 Board Exam |Questions with 100%Correct Answers
A set is countable if it is _____ - ✔️✔️finite
A set is countably infinite if it ________ and ____ - ✔️✔️can be arranged as sequence; infinite
A set is uncountable if it ______ and is ____ - ✔️✔️can't be arranged in sequence; infinite
The notation n(S) or |S| denoted as what - ✔️✔️number of elements in a set S
What principle is this: The formula for n(A U B) where A and B are not disjoint - ✔️✔️Inclusion-
Exclusion Principle
It is also called as the collection of sets - ✔️✔️Class of sets
Given a set S, we may speak of the class of all subsets of S. This class is called as what? -
✔️✔️Power Set of S denoted by P(S)
It is a subdivision of S into nonoverlapping, nonempty subsets - ✔️✔️Partition
What is the part of mathematics devoted to the study of discrete objects - ✔️✔️Discrete
Mathematics
These are problems solved using Discrete Mathematics except:
a. How many ways are there to choose a valid password on a computer system?
b. Is there a link between two computers in a network?
c. How can I identify spam e-mail messages
, d. How can a circuit that adds two integers be designed?
e. None of the above - ✔️✔️All are correct
It is the basis of all mathematical reasoning, and of all automated reasoning - ✔️✔️Logic
The basic building blocks of logic. A declarative sentence(that is, a sentence that declares a fact)
that is either true or false, but not both - ✔️✔️Propositions
True or False: Sentences that are not propositions - ✔️✔️True
Many mathematical statements are constructed by combining one or more propositions -
✔️✔️Compound propositions
It is the logical operators that are used to form new propositions from two or more existing
propositions - ✔️✔️
The conjunction p and q is true when both p and q are ___ and is ____ otherwise - ✔️✔️true;
false
The disjunction of p and q is false when both p and q are ____ and is ___ otherwise. True when
at least one of the 2 propositions is true - ✔️✔️false; true
The exclusive or is true when exactly one of the p and q is ___ and is ____ otherwise - ✔️✔️true;
false
The conditional statement is ____ when p is true and q is false, and true otherwise. This is also
called Implication - ✔️✔️false
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