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Basic All-All Syllogism Advanced Worksheet: Focus on combining multiple 'all' premises Basic All-All Syllogism ADVANCED

Level up your Basic All-All Syllogism skills! You're at Worksheet 8 of 10 (77% through this series). This exam hall simulation worksheet features 20 advanced-level problems with a focus on combining multiple 'all' premises. Topics covered: basic all-all syllogism bank exam questions, basic all-all syllogism ssc cgl, basic all-all syllogism reasoning tricks.

📝 Worksheet 8 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Basic All-All Syllogism
Worksheet 8 of 10 (77% complete)

Question 1

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

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

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

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

Answer: Both conclusions I and II follow

Question 2

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

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

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

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

Answer: Both conclusions I and II follow

Question 3

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

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

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

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

Answer: Both conclusions I and II follow

Question 4

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

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

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

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

Answer: Both conclusions I and II follow

Question 5

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

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

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

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

Answer: Both conclusions I and II follow

Question 6

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

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

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

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

Answer: Both conclusions I and II follow

Question 7

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

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

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

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

Answer: Both conclusions I and II follow

Question 8

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

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

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

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

Answer: Both conclusions I and II follow

Question 9

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

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

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

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

Answer: Both conclusions I and II follow

Question 10

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

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

Analytical Method (A + A = A):
All durable are rare (A) + All rare 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 11

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

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

Analytical Method (A + A = A):
All vertebrates are carnivores (A) + All carnivores are wild (A) = All vertebrates are wild (A)

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

Answer: Both conclusions I and II follow

Question 12

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

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

Analytical Method (A + A = A):
All valuable are rare (A) + All rare are reliable (A) = All valuable are reliable (A)

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

Answer: Both conclusions I and II follow

Question 13

Statements: All mammals are diurnal. All diurnal are omnivores. Conclusions: I. All mammals are omnivores. II. Some omnivores are mammals.
Venn Diagram Method:
Draw three circles for mammals, diurnal, and omnivores.

Step 1: "All mammals are diurnal" → Circle of mammals completely inside diurnal
Step 2: "All diurnal are omnivores" → Circle of diurnal completely inside omnivores
Step 3: Result: mammals ⊂ diurnal ⊂ omnivores

Analytical Method (A + A = A):
All mammals are diurnal (A) + All diurnal are omnivores (A) = All mammals are omnivores (A)

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

Answer: Both conclusions I and II follow

Question 14

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

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

Analytical Method (A + A = A):
All nocturnal are carnivores (A) + All carnivores are reptiles (A) = All nocturnal are reptiles (A)

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

Answer: Both conclusions I and II follow

Question 15

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

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

Analytical Method (A + A = A):
All theories are frameworks (A) + All frameworks are models (A) = All theories are models (A)

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

Answer: Both conclusions I and II follow

Question 16

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

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

Analytical Method (A + A = A):
All strategies are methods (A) + All methods are structures (A) = All strategies are structures (A)

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

Answer: Both conclusions I and II follow

Question 17

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

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

Analytical Method (A + A = A):
All devices are utensils (A) + All utensils are equipment (A) = All devices are equipment (A)

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

Answer: Both conclusions I and II follow

Question 18

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

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

Analytical Method (A + A = A):
All theories are patterns (A) + All patterns are systems (A) = All theories are systems (A)

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

Answer: Both conclusions I and II follow

Question 19

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

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

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

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

Answer: Both conclusions I and II follow

Question 20

Statements: All structures are frameworks. All frameworks are concepts. Conclusions: I. All structures are concepts. II. Some concepts are structures.
Venn Diagram Method:
Draw three circles for structures, frameworks, and concepts.

Step 1: "All structures are frameworks" → Circle of structures completely inside frameworks
Step 2: "All frameworks are concepts" → Circle of frameworks completely inside concepts
Step 3: Result: structures ⊂ frameworks ⊂ concepts

Analytical Method (A + A = A):
All structures are frameworks (A) + All frameworks are concepts (A) = All structures are concepts (A)

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

Answer: Both conclusions I and II follow
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