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Master Basic All-All Syllogism - Beginner Level Problems Basic All-All Syllogism BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Basic All-All Syllogism. Worksheet 3 of 10 contains 20 beginner-level problems. Target your drawing definite conclusions skills while practicing basic all-all syllogism practice, basic all-all syllogism for competitive exams, and how to solve basic all-all syllogism.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Basic All-All Syllogism
Worksheet 3 of 10 (22% complete)

Question 1

Statements: All nurses are architects. All architects are artists. Conclusions: I. All nurses are artists. II. Some artists are nurses.
Venn Diagram Method:
Draw three circles for nurses, architects, and artists.

Step 1: "All nurses are architects" → Circle of nurses completely inside architects
Step 2: "All architects are artists" → Circle of architects completely inside artists
Step 3: Result: nurses ⊂ architects ⊂ artists

Analytical Method (A + A = A):
All nurses are architects (A) + All architects are artists (A) = All nurses are artists (A)

Verification:
✓ Conclusion I: "All nurses are artists" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some artists are nurses" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 2

Statements: All electronics are gadgets. All gadgets are furniture. Conclusions: I. All electronics are furniture. II. Some furniture are electronics.
Venn Diagram Method:
Draw three circles for electronics, gadgets, and furniture.

Step 1: "All electronics are gadgets" → Circle of electronics completely inside gadgets
Step 2: "All gadgets are furniture" → Circle of gadgets completely inside furniture
Step 3: Result: electronics ⊂ gadgets ⊂ furniture

Analytical Method (A + A = A):
All electronics are gadgets (A) + All gadgets are furniture (A) = All electronics are furniture (A)

Verification:
✓ Conclusion I: "All electronics are furniture" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some furniture are electronics" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 3

Statements: All electronics are equipment. All equipment are instruments. Conclusions: I. All electronics are instruments. II. Some instruments are electronics.
Venn Diagram Method:
Draw three circles for electronics, equipment, and instruments.

Step 1: "All electronics are equipment" → Circle of electronics completely inside equipment
Step 2: "All equipment are instruments" → Circle of equipment completely inside instruments
Step 3: Result: electronics ⊂ equipment ⊂ instruments

Analytical Method (A + A = A):
All electronics are equipment (A) + All equipment are instruments (A) = All electronics are instruments (A)

Verification:
✓ Conclusion I: "All electronics are instruments" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some instruments are electronics" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 4

Statements: All musicians are pilots. All pilots are teachers. Conclusions: I. All musicians are teachers. II. Some teachers are musicians.
Venn Diagram Method:
Draw three circles for musicians, pilots, and teachers.

Step 1: "All musicians are pilots" → Circle of musicians completely inside pilots
Step 2: "All pilots are teachers" → Circle of pilots completely inside teachers
Step 3: Result: musicians ⊂ pilots ⊂ teachers

Analytical Method (A + A = A):
All musicians are pilots (A) + All pilots are teachers (A) = All musicians are teachers (A)

Verification:
✓ Conclusion I: "All musicians are teachers" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some teachers are musicians" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 5

Statements: All nurses are athletes. All athletes are pharmacists. Conclusions: I. All nurses are pharmacists. II. Some pharmacists are nurses.
Venn Diagram Method:
Draw three circles for nurses, athletes, and pharmacists.

Step 1: "All nurses are athletes" → Circle of nurses completely inside athletes
Step 2: "All athletes are pharmacists" → Circle of athletes completely inside pharmacists
Step 3: Result: nurses ⊂ athletes ⊂ pharmacists

Analytical Method (A + A = A):
All nurses are athletes (A) + All athletes are pharmacists (A) = All nurses are pharmacists (A)

Verification:
✓ Conclusion I: "All nurses are pharmacists" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some pharmacists are nurses" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 6

Statements: All wild are amphibians. All amphibians are domestic. Conclusions: I. All wild are domestic. II. Some domestic are wild.
Venn Diagram Method:
Draw three circles for wild, amphibians, and domestic.

Step 1: "All wild are amphibians" → Circle of wild completely inside amphibians
Step 2: "All amphibians are domestic" → Circle of amphibians completely inside domestic
Step 3: Result: wild ⊂ amphibians ⊂ domestic

Analytical Method (A + A = A):
All wild are amphibians (A) + All amphibians are domestic (A) = All wild are domestic (A)

Verification:
✓ Conclusion I: "All wild are domestic" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some domestic are wild" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 7

Statements: All scientists are teachers. All teachers are accountants. Conclusions: I. All scientists are accountants. II. Some accountants are scientists.
Venn Diagram Method:
Draw three circles for scientists, teachers, and accountants.

Step 1: "All scientists are teachers" → Circle of scientists completely inside teachers
Step 2: "All teachers are accountants" → Circle of teachers completely inside accountants
Step 3: Result: scientists ⊂ teachers ⊂ accountants

Analytical Method (A + A = A):
All scientists are teachers (A) + All teachers are accountants (A) = All scientists are accountants (A)

Verification:
✓ Conclusion I: "All scientists are accountants" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some accountants are scientists" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 8

Statements: All doctors are lawyers. All lawyers are pilots. Conclusions: I. All doctors are pilots. II. Some pilots are doctors.
Venn Diagram Method:
Draw three circles for doctors, lawyers, and pilots.

Step 1: "All doctors are lawyers" → Circle of doctors completely inside lawyers
Step 2: "All lawyers are pilots" → Circle of lawyers completely inside pilots
Step 3: Result: doctors ⊂ lawyers ⊂ pilots

Analytical Method (A + A = A):
All doctors are lawyers (A) + All lawyers are pilots (A) = All doctors are pilots (A)

Verification:
✓ Conclusion I: "All doctors are pilots" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some pilots are doctors" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 9

Statements: All utensils are instruments. All instruments are furniture. Conclusions: I. All utensils are furniture. II. Some furniture are utensils.
Venn Diagram Method:
Draw three circles for utensils, instruments, and furniture.

Step 1: "All utensils are instruments" → Circle of utensils completely inside instruments
Step 2: "All instruments are furniture" → Circle of instruments completely inside furniture
Step 3: Result: utensils ⊂ instruments ⊂ furniture

Analytical Method (A + A = A):
All utensils are instruments (A) + All instruments are furniture (A) = All utensils are furniture (A)

Verification:
✓ Conclusion I: "All utensils are furniture" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some furniture are utensils" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 10

Statements: All durable are valuable. All valuable are accessible. Conclusions: I. All durable are accessible. II. Some accessible are durable.
Venn Diagram Method:
Draw three circles for durable, valuable, and accessible.

Step 1: "All durable are valuable" → Circle of durable completely inside valuable
Step 2: "All valuable are accessible" → Circle of valuable completely inside accessible
Step 3: Result: durable ⊂ valuable ⊂ accessible

Analytical Method (A + A = A):
All durable are valuable (A) + All valuable are accessible (A) = All durable are accessible (A)

Verification:
✓ Conclusion I: "All durable are accessible" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some accessible are durable" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 11

Statements: All accessible are durable. All durable are rare. Conclusions: I. All accessible are rare. II. Some rare are accessible.
Venn Diagram Method:
Draw three circles for accessible, durable, and rare.

Step 1: "All accessible are durable" → Circle of accessible completely inside durable
Step 2: "All durable are rare" → Circle of durable completely inside rare
Step 3: Result: accessible ⊂ durable ⊂ rare

Analytical Method (A + A = A):
All accessible are durable (A) + All durable are rare (A) = All accessible are rare (A)

Verification:
✓ Conclusion I: "All accessible are rare" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some rare are accessible" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 12

Statements: All ideas are theories. All theories are strategies. Conclusions: I. All ideas are strategies. II. Some strategies are ideas.
Venn Diagram Method:
Draw three circles for ideas, theories, and strategies.

Step 1: "All ideas are theories" → Circle of ideas completely inside theories
Step 2: "All theories are strategies" → Circle of theories completely inside strategies
Step 3: Result: ideas ⊂ theories ⊂ strategies

Analytical Method (A + A = A):
All ideas are theories (A) + All theories are strategies (A) = All ideas are strategies (A)

Verification:
✓ Conclusion I: "All ideas are strategies" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some strategies are ideas" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 13

Statements: All durable are versatile. All versatile are efficient. Conclusions: I. All durable are efficient. II. Some efficient are durable.
Venn Diagram Method:
Draw three circles for durable, versatile, and efficient.

Step 1: "All durable are versatile" → Circle of durable completely inside versatile
Step 2: "All versatile are efficient" → Circle of versatile completely inside efficient
Step 3: Result: durable ⊂ versatile ⊂ efficient

Analytical Method (A + A = A):
All durable are versatile (A) + All versatile are efficient (A) = All durable are efficient (A)

Verification:
✓ Conclusion I: "All durable are efficient" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some efficient are durable" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 14

Statements: All tools are vehicles. All vehicles are instruments. Conclusions: I. All tools are instruments. II. Some instruments are tools.
Venn Diagram Method:
Draw three circles for tools, vehicles, and instruments.

Step 1: "All tools are vehicles" → Circle of tools completely inside vehicles
Step 2: "All vehicles are instruments" → Circle of vehicles completely inside instruments
Step 3: Result: tools ⊂ vehicles ⊂ instruments

Analytical Method (A + A = A):
All tools are vehicles (A) + All vehicles are instruments (A) = All tools are instruments (A)

Verification:
✓ Conclusion I: "All tools are instruments" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some instruments are tools" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 15

Statements: All entrepreneurs are nurses. All nurses are musicians. Conclusions: I. All entrepreneurs are musicians. II. Some musicians are entrepreneurs.
Venn Diagram Method:
Draw three circles for entrepreneurs, nurses, and musicians.

Step 1: "All entrepreneurs are nurses" → Circle of entrepreneurs completely inside nurses
Step 2: "All nurses are musicians" → Circle of nurses completely inside musicians
Step 3: Result: entrepreneurs ⊂ nurses ⊂ musicians

Analytical Method (A + A = A):
All entrepreneurs are nurses (A) + All nurses are musicians (A) = All entrepreneurs are musicians (A)

Verification:
✓ Conclusion I: "All entrepreneurs are musicians" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some musicians are entrepreneurs" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 16

Statements: All lawyers are pilots. All pilots are artists. Conclusions: I. All lawyers are artists. II. Some artists are lawyers.
Venn Diagram Method:
Draw three circles for lawyers, pilots, and artists.

Step 1: "All lawyers are pilots" → Circle of lawyers completely inside pilots
Step 2: "All pilots are artists" → Circle of pilots completely inside artists
Step 3: Result: lawyers ⊂ pilots ⊂ artists

Analytical Method (A + A = A):
All lawyers are pilots (A) + All pilots are artists (A) = All lawyers are artists (A)

Verification:
✓ Conclusion I: "All lawyers are artists" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some artists are lawyers" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 17

Statements: All pharmacists are managers. All managers are architects. Conclusions: I. All pharmacists are architects. II. Some architects are pharmacists.
Venn Diagram Method:
Draw three circles for pharmacists, managers, and architects.

Step 1: "All pharmacists are managers" → Circle of pharmacists completely inside managers
Step 2: "All managers are architects" → Circle of managers completely inside architects
Step 3: Result: pharmacists ⊂ managers ⊂ architects

Analytical Method (A + A = A):
All pharmacists are managers (A) + All managers are architects (A) = All pharmacists are architects (A)

Verification:
✓ Conclusion I: "All pharmacists are architects" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some architects are pharmacists" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 18

Statements: All musicians are scientists. All scientists are pharmacists. Conclusions: I. All musicians are pharmacists. II. Some pharmacists are musicians.
Venn Diagram Method:
Draw three circles for musicians, scientists, and pharmacists.

Step 1: "All musicians are scientists" → Circle of musicians completely inside scientists
Step 2: "All scientists are pharmacists" → Circle of scientists completely inside pharmacists
Step 3: Result: musicians ⊂ scientists ⊂ pharmacists

Analytical Method (A + A = A):
All musicians are scientists (A) + All scientists are pharmacists (A) = All musicians are pharmacists (A)

Verification:
✓ Conclusion I: "All musicians are pharmacists" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some pharmacists are musicians" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 19

Statements: All wild are reptiles. All reptiles are invertebrates. Conclusions: I. All wild are invertebrates. II. Some invertebrates are wild.
Venn Diagram Method:
Draw three circles for wild, reptiles, and invertebrates.

Step 1: "All wild are reptiles" → Circle of wild completely inside reptiles
Step 2: "All reptiles are invertebrates" → Circle of reptiles completely inside invertebrates
Step 3: Result: wild ⊂ reptiles ⊂ invertebrates

Analytical Method (A + A = A):
All wild are reptiles (A) + All reptiles are invertebrates (A) = All wild are invertebrates (A)

Verification:
✓ Conclusion I: "All wild are invertebrates" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some invertebrates are wild" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow

Question 20

Statements: All vehicles are gadgets. All gadgets are tools. Conclusions: I. All vehicles are tools. II. Some tools are vehicles.
Venn Diagram Method:
Draw three circles for vehicles, gadgets, and tools.

Step 1: "All vehicles are gadgets" → Circle of vehicles completely inside gadgets
Step 2: "All gadgets are tools" → Circle of gadgets completely inside tools
Step 3: Result: vehicles ⊂ gadgets ⊂ tools

Analytical Method (A + A = A):
All vehicles are gadgets (A) + All gadgets are tools (A) = All vehicles are tools (A)

Verification:
✓ Conclusion I: "All vehicles are tools" - FOLLOWS (direct rule application)
✓ Conclusion II: "Some tools are vehicles" - FOLLOWS (if all A are C, then some C are A)

Answer: Both conclusions I and II follow
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