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Key Facts: QCAA Philosophy & Reason Exam
100
Practice questions in bank
OpenExamPrep
Units 3 & 4
Assessed syllabus range
QCAA
Sample QCAA Philosophy & Reason Practice Questions
Try these sample questions to test your QCAA Philosophy & Reason exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1In categorical logic, which type of standard-form categorical proposition is represented by the form 'All S are P'?
A.Universal Negative (E proposition)
B.Particular Affirmative (I proposition)
C.Universal Affirmative (A proposition)
D.Particular Negative (O proposition)
Explanation: A 'Universal Affirmative' proposition asserts that every member of the subject class (S) is included in the predicate class (P). Traditionally designated as an 'A' proposition (from the Latin 'Affirmo'), its standard logical form is 'All S are P'.
2Which standard-form categorical proposition expresses a Particular Negative claim?
A.All S are P
B.Some S are not P
C.No S are P
D.Some S are P
Explanation: A Particular Negative proposition is designated as an 'O' proposition and takes the standard form 'Some S are not P'. It claims that at least one member of class S is excluded from class P.
3What does it mean for a deductive argument to be valid?
A.All of its premises are factually true in the real world.
B.Its conclusion is supported by strong empirical probability.
C.Both the premises and the conclusion are accepted by general consensus.
D.If all of its premises are assumed true, its conclusion must necessarily be true.
Explanation: Deductive validity is a structural property: an argument is valid if and only if it is logically impossible for all its premises to be true while its conclusion is false. Validity depends entirely on logical form, not on the actual truth of the premises.
4How is a sound deductive argument distinguished from a valid deductive argument?
A.A sound argument relies on inductive probability rather than formal logic.
B.A sound argument contains only universal affirmative propositions.
C.A sound argument does not require a logical connection between premises and conclusion.
D.A sound argument is valid AND all of its premises are actually true.
Explanation: Soundness is a stricter criterion than validity. A deductive argument is sound if and only if it is valid in structure AND every one of its premises is factually true in reality.
5Consider the categorical syllogism: Premise 1: All mammals are warm-blooded animals. Premise 2: All dogs are mammals. Conclusion: All dogs are warm-blooded animals. What is the Mood and Figure of this standard-form syllogism?
A.EAE-1
B.AII-2
C.AAA-1
D.AAA-3
Explanation: All three statements are Universal Affirmative (A) propositions, giving the mood 'AAA'. The middle term 'mammals' is the subject of the major premise and the predicate of the minor premise (M-P, S-M), which defines Figure 1. Hence, the mood and figure is AAA-1 (traditionally called Barbara).
6In a standard categorical syllogism, what is the middle term?
A.The term that appears only in the conclusion.
B.The predicate term of the conclusion.
C.The subject term of the conclusion.
D.The term that appears in both premises but does not appear in the conclusion.
Explanation: By definition, the middle term is the term that mediates between the major and minor terms by appearing in both premises, but it must never appear in the conclusion.
7When testing a categorical syllogism using a 3-circle Venn diagram, what does shading a region signify?
A.That at least one object exists in that region.
B.That the region contains an infinite number of elements.
C.That the region is completely empty of members.
D.That the region contains the conclusion term.
Explanation: In Venn diagram notation for categorical logic, shading a region indicates that the class or intersection represented by that region contains zero members (it is empty). An 'X' is used to show existence of at least one member.
8Which rule of categorical syllogisms is violated by the following invalid argument? Premise 1: All cats are mammals. Premise 2: All dogs are mammals. Conclusion: All dogs are cats.
A.Fallacy of Four Terms
B.Fallacy of Illicit Major
C.Fallacy of Exclusive Premises
D.Fallacy of Undistributed Middle
Explanation: The middle term 'mammals' is the predicate of two Universal Affirmative (A) propositions. In an A proposition, only the subject term is distributed. Therefore, 'mammals' is not distributed in either premise, committing the Fallacy of the Undistributed Middle.
9Which formal rule governs negative premises in a valid categorical syllogism?
A.If either premise is negative, the conclusion must be negative.
B.If both premises are negative, the conclusion must be affirmative.
C.Negative premises can only yield universal affirmative conclusions.
D.A valid syllogism cannot contain any negative propositions.
Explanation: A fundamental rule of categorical logic dictates that if one premise of a valid syllogism is negative, the conclusion must also be negative. Furthermore, if both premises are negative, no valid conclusion can be drawn at all (Fallacy of Exclusive Premises).
10In categorical logic, which terms are distributed in a Universal Negative (E) proposition ('No S are P')?
A.Both the subject and predicate terms
B.Subject term only
C.Predicate term only
D.Neither the subject nor the predicate term
Explanation: An E proposition ('No S are P') asserts that the entire subject class is excluded from the entire predicate class. Because it makes a claim about every member of S and every member of P, both the subject and predicate terms are distributed.
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