Question 1
Consider this syllogism:
Premise 1: Some students are athletes.
Premise 2: All athletes are healthy.
Therefore, some students are healthy.
Is this syllogism logically valid?
Valid: Some A are B, all B are C → Some A are C.
Master Categorical Syllogisms - Beginner Level Problems Categorical Syllogisms BEGINNER
Excel in competitive exams with this skill builder ⚡ worksheet on Categorical Syllogisms. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing categorical syllogisms practice, categorical syllogisms for competitive exams, and how to solve categorical syllogisms.
What you'll learn in this worksheet:
- Master categorical syllogisms practice through focused practice
- Understand the logic behind categorical syllogisms for competitive exams
- Learn step-by-step approaches to step-by-step problem solving
- Develop systematic problem-solving habits
- Strengthen your foundational understanding
Your progress through Categorical Syllogisms
Worksheet 3 of 10 (22% complete)
Question 2
Consider this syllogism:
Premise 1: All birds can fly.
Premise 2: Penguins are birds.
Therefore, penguins can fly.
Is this syllogism logically valid?
This is valid in form, but the premise 'All birds can fly' is false. Validity is about logical structure, not factual truth. Form: All A are B, C is A → C is B.
Question 3
Consider this syllogism:
Premise 1: All mammals are animals.
Premise 2: All dogs are mammals.
Therefore, all dogs are animals.
Is this syllogism logically valid?
This is valid: If A ⊆ B and B ⊆ C, then A ⊆ C. All dogs (A) are mammals (B), all mammals (B) are animals (C), so all dogs (A) are animals (C).
Question 4
Consider this syllogism:
Premise 1: All birds can fly.
Premise 2: Penguins are birds.
Therefore, penguins can fly.
Is this syllogism logically valid?
This is valid in form, but the premise 'All birds can fly' is false. Validity is about logical structure, not factual truth. Form: All A are B, C is A → C is B.
Question 5
Consider this syllogism:
Premise 1: No reptiles are warm-blooded.
Premise 2: All snakes are reptiles.
Therefore, no snakes are warm-blooded.
Is this syllogism logically valid?
Valid: No A are B, all C are A → No C are B.
Question 6
Consider this syllogism:
Premise 1: All mammals are animals.
Premise 2: All dogs are mammals.
Therefore, all dogs are animals.
Is this syllogism logically valid?
This is valid: If A ⊆ B and B ⊆ C, then A ⊆ C. All dogs (A) are mammals (B), all mammals (B) are animals (C), so all dogs (A) are animals (C).
Question 7
Consider this syllogism:
Premise 1: All cats are mammals.
Premise 2: Some mammals are dogs.
Therefore, some cats are dogs.
Is this syllogism logically valid?
Invalid fallacy: All A are B, some B are C → does NOT imply some A are C. The some could be entirely outside A.
Question 8
Consider this syllogism:
Premise 1: No reptiles are warm-blooded.
Premise 2: All snakes are reptiles.
Therefore, no snakes are warm-blooded.
Is this syllogism logically valid?
Valid: No A are B, all C are A → No C are B.
Question 9
Consider this syllogism:
Premise 1: All birds can fly.
Premise 2: Penguins are birds.
Therefore, penguins can fly.
Is this syllogism logically valid?
This is valid in form, but the premise 'All birds can fly' is false. Validity is about logical structure, not factual truth. Form: All A are B, C is A → C is B.
Question 10
Consider this syllogism:
Premise 1: No reptiles are warm-blooded.
Premise 2: All snakes are reptiles.
Therefore, no snakes are warm-blooded.
Is this syllogism logically valid?
Valid: No A are B, all C are A → No C are B.
Question 11
Consider this syllogism:
Premise 1: All cats are mammals.
Premise 2: Some mammals are dogs.
Therefore, some cats are dogs.
Is this syllogism logically valid?
Invalid fallacy: All A are B, some B are C → does NOT imply some A are C. The some could be entirely outside A.
Question 12
Consider this syllogism:
Premise 1: All cats are mammals.
Premise 2: Some mammals are dogs.
Therefore, some cats are dogs.
Is this syllogism logically valid?
Invalid fallacy: All A are B, some B are C → does NOT imply some A are C. The some could be entirely outside A.
Question 13
Consider this syllogism:
Premise 1: All birds can fly.
Premise 2: Penguins are birds.
Therefore, penguins can fly.
Is this syllogism logically valid?
This is valid in form, but the premise 'All birds can fly' is false. Validity is about logical structure, not factual truth. Form: All A are B, C is A → C is B.
Question 14
Consider this syllogism:
Premise 1: No reptiles are warm-blooded.
Premise 2: All snakes are reptiles.
Therefore, no snakes are warm-blooded.
Is this syllogism logically valid?
Valid: No A are B, all C are A → No C are B.
Question 15
Consider this syllogism:
Premise 1: Some students are athletes.
Premise 2: All athletes are healthy.
Therefore, some students are healthy.
Is this syllogism logically valid?
Valid: Some A are B, all B are C → Some A are C.
Question 16
Consider this syllogism:
Premise 1: Some students are athletes.
Premise 2: All athletes are healthy.
Therefore, some students are healthy.
Is this syllogism logically valid?
Valid: Some A are B, all B are C → Some A are C.
Question 17
Consider this syllogism:
Premise 1: Some politicians are honest.
Premise 2: No honest people lie.
Therefore, some politicians do not lie.
Is this syllogism logically valid?
Valid: Some A are B, no B are C → Some A are not C.
Question 18
Consider this syllogism:
Premise 1: All cats are mammals.
Premise 2: Some mammals are dogs.
Therefore, some cats are dogs.
Is this syllogism logically valid?
Invalid fallacy: All A are B, some B are C → does NOT imply some A are C. The some could be entirely outside A.
Question 19
Consider this syllogism:
Premise 1: All cats are mammals.
Premise 2: Some mammals are dogs.
Therefore, some cats are dogs.
Is this syllogism logically valid?
Invalid fallacy: All A are B, some B are C → does NOT imply some A are C. The some could be entirely outside A.
Question 20
Consider this syllogism:
Premise 1: All mammals are animals.
Premise 2: All dogs are mammals.
Therefore, all dogs are animals.
Is this syllogism logically valid?
This is valid: If A ⊆ B and B ⊆ C, then A ⊆ C. All dogs (A) are mammals (B), all mammals (B) are animals (C), so all dogs (A) are animals (C).
📝 Continue your Categorical Syllogisms practice. Worksheet 3 focuses on step-by-step problem solving.