Reasoning
Logic and Fallacies
1,803 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
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Postulates
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Correlatives
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Opposites
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Parallels
B
Correct answer
Explanation
In jurisprudence, rights and duties are correlatives. Every legal right possessed by one person implies a corresponding legal duty imposed upon another person, meaning one cannot exist without the other.
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The premises seek to supply strong evidence for the truth of the conclusion.
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Inductive reasoning is also known as hypothesis construction.
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Mathematical induction is a form of inductive reasoning.
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Inductive reasoning allows for the possibility that the conclusion is false.
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Inductive reasoning is uncertain.
C
Correct answer
Explanation
The definition of inductive reasoning excludes mathematical induction, which is a form of deductive reasoning.
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Conjecture
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Premise
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Main contention
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Co-premise
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Logical consequence
A
Correct answer
Explanation
A conjecture is a proposition that is unproven. Karl Popper pioneered the use of the term conjecture in scientific philosophy. Conjecture is related to hypothesis, which in science refers to a testable conjecture. In mathematics, a conjecture is an unproven proposition that appears correct.
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Fallacy
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Ambiguity
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Vagueness
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Hypothesis
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Self-reference
B
Correct answer
Explanation
Ambiguity is an attribute of any concept, idea, statement or a claim whose meaning, intention or interpretation cannot be definitively resolved according to a rule or process consisting of a finite number of steps.
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Paradox
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Irony
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Mereological nihilism
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Dogma
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Dilemma
A
Correct answer
Explanation
A paradox is a statement that apparently contradicts itself and yet might be true. Most logical paradoxes are known to be invalid arguments but are still valuable in promoting critical thinking.
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Connected facts
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Facts asserted by party
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Facts denied by party
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Facts asserted by one party and denied by other
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None of the above
D
Correct answer
Explanation
A fact asserted by one party and denied by other party is known as fact in issue.
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Assumption
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Hypothesis
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Tentative
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Evidence
D
Correct answer
Explanation
Evidence is the odd one out because it refers to factual proof or established facts, while assumption, hypothesis, and tentative all relate to ideas, beliefs, or positions that are uncertain, speculative, or not yet proven. Evidence represents certainty versus the speculative nature of the other three.
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LIKE predicate
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BETWEEN predicate
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AVG
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IN predicate
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MIN
D
Correct answer
Explanation
IN predicate is used to test an attribute value against a set of values.
D
Correct answer
Explanation
By De Morgan's laws, an OR gate in negative logic (where 0 is high and 1 is low) behaves as an AND gate in positive logic, and vice versa. Specifically, an OR gate with inverted inputs and output acts as an AND gate. A NOR gate in positive logic is equivalent to an AND gate in negative logic.
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Research
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Mathematical logic
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Hypothesis
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Proposition
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Axiom
C
Correct answer
Explanation
A hypothesis (plural hypotheses) is a proposed explanation for a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that one can test it.
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Proposition
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Facts
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Corollary
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Theorem
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Conjecture
D
Correct answer
Explanation
A theorem is a statement that has been proven on the basis of previously established statements, such as other theorems—and generally accepted statements, such as axioms.
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be absolute
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be unqualified
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be both absolute and unqualified
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be conditional
C
Correct answer
Explanation
Acceptance must be unqualified and absolute, and must correspond with all the terms of the offer.
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Learning
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Reasoning
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Conjectures
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Retrieval
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Inheritance
B
Correct answer
Explanation
Reasoning infers facts from existing data.
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A, A => B
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A ^ B
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A v B, ~B
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~~A
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A v B, ~B v C
A
Correct answer
Explanation
A, A=>B is modus ponens inference rule whose derived sentence is B.
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Valid
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Invalid
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Consistent
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Contradict
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Inconsistent
A
Correct answer
Explanation
A formula is valid, if it is true under every possible interpretation.