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Master Basic All-All Syllogism - Intermediate-Advanced Level Problems Basic All-All Syllogism INTERMEDIATE ADVANCED

Excel in competitive exams with this self assessment worksheet on Basic All-All Syllogism. Worksheet 7 of 10 contains 20 intermediate-advanced-level problems. Target your converse of 'all' statements skills while practicing basic all-all syllogism shortcut methods, basic all-all syllogism bank exam questions, and basic all-all syllogism ssc cgl.

📝 Worksheet 7 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Basic All-All Syllogism
Worksheet 7 of 10 (66% complete)

Question 1

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

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

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

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

Answer: Both conclusions I and II follow

Question 2

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

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

Analytical Method (A + A = A):
All teachers are engineers (A) + All engineers are pharmacists (A) = All teachers are pharmacists (A)

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

Answer: Both conclusions I and II follow

Question 3

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

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

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

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

Answer: Both conclusions I and II follow

Question 4

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

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

Analytical Method (A + A = A):
All methods are systems (A) + All systems are concepts (A) = All methods are concepts (A)

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

Answer: Both conclusions I and II follow

Question 5

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

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

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

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

Answer: Both conclusions I and II follow

Question 6

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

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

Analytical Method (A + A = A):
All structures are principles (A) + All principles are ideas (A) = All structures are ideas (A)

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

Answer: Both conclusions I and II follow

Question 7

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

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

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

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

Answer: Both conclusions I and II follow

Question 8

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

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

Analytical Method (A + A = A):
All fish are birds (A) + All birds are omnivores (A) = All fish are omnivores (A)

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

Answer: Both conclusions I and II follow

Question 9

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

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

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

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

Answer: Both conclusions I and II follow

Question 10

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

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

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

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

Answer: Both conclusions I and II follow

Question 11

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

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

Analytical Method (A + A = A):
All tools are electronics (A) + All electronics are devices (A) = All tools are devices (A)

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

Answer: Both conclusions I and II follow

Question 12

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

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

Analytical Method (A + A = A):
All teachers are writers (A) + All writers are athletes (A) = All teachers are athletes (A)

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

Answer: Both conclusions I and II follow

Question 13

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

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

Analytical Method (A + A = A):
All useful are innovative (A) + All innovative are efficient (A) = All useful are efficient (A)

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

Answer: Both conclusions I and II follow

Question 14

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

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

Analytical Method (A + A = A):
All writers are engineers (A) + All engineers are accountants (A) = All writers are accountants (A)

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

Answer: Both conclusions I and II follow

Question 15

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

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

Analytical Method (A + A = A):
All nurses are architects (A) + All architects 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 16

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

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

Analytical Method (A + A = A):
All devices are tools (A) + All tools are ornaments (A) = All devices are ornaments (A)

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

Answer: Both conclusions I and II follow

Question 17

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 18

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

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

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

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

Answer: Both conclusions I and II follow

Question 19

Statements: All vertebrates are cold-blooded. All cold-blooded are herbivores. Conclusions: I. All vertebrates are herbivores. II. Some herbivores are vertebrates.
Venn Diagram Method:
Draw three circles for vertebrates, cold-blooded, and herbivores.

Step 1: "All vertebrates are cold-blooded" → Circle of vertebrates completely inside cold-blooded
Step 2: "All cold-blooded are herbivores" → Circle of cold-blooded completely inside herbivores
Step 3: Result: vertebrates ⊂ cold-blooded ⊂ herbivores

Analytical Method (A + A = A):
All vertebrates are cold-blooded (A) + All cold-blooded are herbivores (A) = All vertebrates are herbivores (A)

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

Answer: Both conclusions I and II follow

Question 20

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

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

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

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

Answer: Both conclusions I and II follow
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