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Exploring Sets and Logic Concepts

Authored by Mini Agarwal

Mathematics

University

Used 4+ times

Exploring Sets and Logic Concepts
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23 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a set? Provide an example.

A set is a collection of distinct objects. Example: {a, e, i, o, u}.

A set is a random assortment of items. Example: {apple, banana, orange, apple}

A set is a single object. Example: {1}

A set is a collection of similar objects. Example: {1, 1, 1}

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Define a subset and give an example.

A = {1, 2, 3} is a subset of B = {1, 2}

E = {1, 2, 3} is a subset of F = {1, 2, 3, 4}

An example of a subset is B = {1, 2} which is a subset of A = {1, 2, 3}.

C = {4, 5} is a subset of D = {1, 2, 3}

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a powerset? How is it calculated?

The powerset includes only the empty set, calculated as 1

The powerset of a set is the set of all its subsets, calculated as 2^n.

The powerset is the set of all elements in a set, calculated as n!

The powerset is the set of unique elements, calculated as n^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Explain the union operation on sets with an example.A={1,2,3}, B={4,5}

{4, 5}

{1, 2, 3, 4, 5, 6}

{1, 2, 3, 4, 5}

{1, 2, 3}

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the intersection of two sets? Provide an example.a={1,2,3}, B={2,3,4}

{2, 5}

{2, 3}

{1, 4}

{3, 6}

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Define propositional logic and its components.

Propositional logic only deals with numerical values.

Propositional logic is a formal system in logic that represents statements using propositions and logical connectives.

Propositional logic is a type of programming language.

Propositional logic is unrelated to logical connectives.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the rules of inference in propositional logic?

Affirming the Consequent

Transitive Property

Modus Ponens, Modus Tollens, Disjunctive Syllogism, Hypothetical Syllogism, Conjunction, Simplification

Denying the Antecedent

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