WorksheetsMATH
Total questions: 22
Worksheet time: 14mins
What is logical reasoning used for in mathematics?
To verify the correctness of programs
To draw conclusions from experiments
To prove theorems
To solve a multitude of problems
What is a statement or proposition?
A sentence that is always false
A sentence that is either true or false
A sentence that is neither true nor false
A sentence that is always true
What does the negation of a proposition involve?
Using the symbol ¬ at the end of the proposition
Introducing the word 'not' at the end of the proposition
Prefixing the phrase 'it is not the case that' in the proposition
Adding the phrase 'It is false that' at the beginning of the proposition
When is the conjunction of two propositions true?
When both propositions are true
When neither proposition is true
When at least one proposition is true
When both propositions are false
What is the disjunction of two propositions?
Both propositions are true
At least one proposition is true
Both propositions are false
Neither proposition is true
When is a conditional statement false?
When the hypothesis is false and the conclusion is true
When both the hypothesis and conclusion are true
When both the hypothesis and conclusion are false
When the hypothesis is true and the conclusion is false
What is logical equivalence?
The compound statement 'P and Q'
The compound statement 'P or Q'
The compound statement 'P if and only if Q'
The compound statement 'P and not Q'
What do De Morgan's Laws state?
The negation of an and statement is equivalent to the and statement
The negation of an or statement is equivalent to the or statement
The negation of an or statement is equivalent to the and statement
The negation of an and statement is equivalent to the or statement
What is a tautology?
A statement form that is always false
A statement form that is sometimes true
A statement form that is always true
A statement form that is sometimes false
What is a contradiction or an absurdity?
A statement form that is always true
A statement form that is sometimes true
A statement form that is sometimes false
A statement form that is always false
What does fuzzy logic help computers evaluate?
Precise instructions
Common-sense pictures
Vague concepts
Certain values
What is an important aspect in business, education, and other real-life situations?
Probability distributions
Logical reasoning
Decision-making
Random variables
What is a random variable?
A rule that assigns a number to each outcome of an experiment
A variable that changes randomly
A variable that is not influenced by other variables
A variable that is always the same
What do probabilities usually depend on?
The size of the universe
The type of random variable
The information given as a condition
The number of elements in a set
What is a set?
A random assortment of objects
A collection of unrelated items
A well-defined collection of a group of distinct objects
A group of similar objects
gives a lower bound for the absolute value
of linear combinations of logarithms of
algebraic numbers.
Baker’s Theorem
Chinese remainder theorem
Algebraic Number Theory
Six Exponentials Theorem
This holds as an identity of convergent
power series for and also as an identity of
formal power series.
Six Exponentials Theorem
Pentagonal number theorem
It is a set that contains so many
elements that there is actually no way of
reaching the last element by counting.
(a)
Sets that have common element/s
(a)
they have no
common element/s.
(a)
there is at least one element found in A
but not in B
(a)
a method of indicating a set by enclosing
in braces a descriptive phrase, and agreeing
that those objects, and only those, which
have the described property are elements of
the set.
(a)
