Reasoning

Logic and Fallacies

1,716 Questions

Understand the fundamentals of propositional logic, logical inference rules, and paradoxes. This set includes identifying logical fallacies, including those found in classical Nyaya logic. Strong grasp of these concepts is crucial for scoring well in the reasoning sections of competitive tests.

Propositional logic modelsLogical inference rulesTypes of logical fallaciesParadoxes and contingent truthsNyaya logic concepts

Logic and Fallacies Questions

Multiple choice

In mathematics, what is the term for a statement that is assumed to be true without proof and serves as a starting point for deducing other statements?

  1. Theorem

  2. Axiom

  3. Hypothesis

  4. Conjecture
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

An axiom is a statement that is taken to be true without proof and serves as a foundation for deducing other statements in a mathematical system.

Multiple choice

Which mathematical proof technique involves assuming the negation of a statement and showing that it leads to a contradiction, thus proving the original statement?

  1. Direct Proof

  2. Proof by Contradiction

  3. Mathematical Induction

  4. Constructive Proof
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Proof by Contradiction is a proof technique where you assume the negation of a statement and show that it leads to a contradiction, thus proving the original statement.

Multiple choice

What is the name of the mathematical principle that states that if a statement is true for a particular case, it is also true for all subsequent cases?

  1. Mathematical Induction

  2. Deductive Reasoning

  3. Syllogism

  4. Chain of Reasoning
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Mathematical Induction is a principle that states that if a statement is true for a particular case, it is also true for all subsequent cases.

Multiple choice

In mathematics, what is the term for a statement that can be proven to be true or false using logical reasoning?

  1. Theorem

  2. Conjecture

  3. Hypothesis

  4. Axiom
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A theorem is a statement that can be proven to be true or false using logical reasoning.

Multiple choice

What is the name of the mathematical principle that states that if a statement is true for a particular case, it is also true for all smaller cases?

  1. Mathematical Induction

  2. Strong Induction

  3. Weak Induction

  4. Complete Induction
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Strong Induction is the principle that states that if a statement is true for a particular case, it is also true for all smaller cases.

Multiple choice

In mathematics, what is the term for a statement that is assumed to be true but has not yet been proven?

  1. Theorem

  2. Conjecture

  3. Hypothesis

  4. Axiom
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A conjecture is a statement that is assumed to be true but has not yet been proven.

Multiple choice

What is the name of the mathematical principle that states that if a statement is true for a particular case, it is also true for all larger cases?

  1. Mathematical Induction

  2. Weak Induction

  3. Complete Induction

  4. Strong Induction
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Complete Induction is the principle that states that if a statement is true for a particular case, it is also true for all larger cases.

Multiple choice

In mathematics, what is the term for a statement that is assumed to be true for the sake of an argument or proof, but is not necessarily true in all cases?

  1. Theorem

  2. Hypothesis

  3. Conjecture

  4. Axiom
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A hypothesis is a statement that is assumed to be true for the sake of an argument or proof, but is not necessarily true in all cases.

Multiple choice

In the world of mystery fiction, what is the term used to describe a clue or piece of evidence that is intentionally misleading or deceptive?

  1. MacGuffin

  2. Red Herring

  3. Plot Twist

  4. Deus Ex Machina
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A red herring is a misleading clue or piece of information that is introduced to divert attention from the actual solution to the mystery.

Multiple choice

What is the name of the logical fallacy that occurs when a conclusion is based on a false or unproven premise?

  1. Ad hominem

  2. Straw man

  3. Begging the question

  4. False dichotomy
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Begging the question, also known as circular reasoning, occurs when a conclusion is based on a premise that is itself dependent on the conclusion.

Multiple choice

What is the name of the logical fallacy that occurs when a conclusion is based on a limited number of examples or observations?

  1. Hasty generalization

  2. Appeal to emotion

  3. Ad hominem

  4. False dichotomy
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Hasty generalization occurs when a conclusion is drawn from a limited number of examples or observations without considering other relevant factors.

Multiple choice

What is the name of the logical fallacy that occurs when a conclusion is based on an emotional appeal rather than on logical reasoning?

  1. Appeal to emotion

  2. Ad hominem

  3. Straw man

  4. False dichotomy
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Appeal to emotion occurs when a conclusion is based on an emotional appeal rather than on logical reasoning.

Multiple choice

What is the name of the logical fallacy that occurs when a conclusion is based on a false dilemma, presenting only two options when there are more?

  1. False dichotomy

  2. Appeal to emotion

  3. Ad hominem

  4. Straw man
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

False dichotomy occurs when a conclusion is based on a false dilemma, presenting only two options when there are more.

Multiple choice

What is the name of the logical fallacy that occurs when a conclusion is based on an argument that attacks the person making the argument rather than the argument itself?

  1. Ad hominem

  2. Appeal to emotion

  3. Straw man

  4. False dichotomy
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Ad hominem occurs when a conclusion is based on an argument that attacks the person making the argument rather than the argument itself.

Multiple choice

What is the name of the logical fallacy that occurs when a conclusion is based on an argument that misrepresents the opposing argument?

  1. Straw man

  2. Appeal to emotion

  3. Ad hominem

  4. False dichotomy
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Straw man occurs when a conclusion is based on an argument that misrepresents the opposing argument.