Three Statement Standard | Worksheet 2/10 - Beginner entry level pr...

Question 1

Statements: All mammals are cold-blooded. Some cold-blooded are diurnal. No diurnal is a invertebrates. Conclusions: I. Some mammals are not invertebrates. II. Some cold-blooded are not invertebrates. III. No invertebrates is a diurnal.

Step-by-Step Analysis:

Statement 1: All mammals are cold-blooded → mammals inside cold-blooded
Statement 2: Some cold-blooded are diurnal → cold-blooded and diurnal overlap
Statement 3: No diurnal is a invertebrates → diurnal and invertebrates separate

Checking Conclusions:

✗ Conclusion I: "Some mammals are not invertebrates"
Cannot determine relationship between mammals and invertebrates - NOT PROVEN

✓ Conclusion II: "Some cold-blooded are not invertebrates"
Some cold-blooded are diurnal (given) + No diurnal is invertebrates (given)
Those cold-blooded which are diurnal cannot be invertebrates - FOLLOWS

✓ Conclusion III: "No invertebrates is a diurnal"
Conversion of "No diurnal is a invertebrates" - FOLLOWS

Answer: Conclusions II and III follow

Question 2

Statements: All reliable are innovative. Some innovative are accessible. No accessible is a versatile. Conclusions: I. Some reliable are not versatile. II. Some innovative are not versatile. III. No versatile is a accessible.

Step-by-Step Analysis:

Statement 1: All reliable are innovative → reliable inside innovative
Statement 2: Some innovative are accessible → innovative and accessible overlap
Statement 3: No accessible is a versatile → accessible and versatile separate

Checking Conclusions:

✗ Conclusion I: "Some reliable are not versatile"
Cannot determine relationship between reliable and versatile - NOT PROVEN

✓ Conclusion II: "Some innovative are not versatile"
Some innovative are accessible (given) + No accessible is versatile (given)
Those innovative which are accessible cannot be versatile - FOLLOWS

✓ Conclusion III: "No versatile is a accessible"
Conversion of "No accessible is a versatile" - FOLLOWS

Answer: Conclusions II and III follow

Question 3

Statements: All engineers are scientists. Some scientists are managers. No managers is a pilots. Conclusions: I. Some engineers are not pilots. II. Some scientists are not pilots. III. No pilots is a managers.

Step-by-Step Analysis:

Statement 1: All engineers are scientists → engineers inside scientists
Statement 2: Some scientists are managers → scientists and managers overlap
Statement 3: No managers is a pilots → managers and pilots separate

Checking Conclusions:

✗ Conclusion I: "Some engineers are not pilots"
Cannot determine relationship between engineers and pilots - NOT PROVEN

✓ Conclusion II: "Some scientists are not pilots"
Some scientists are managers (given) + No managers is pilots (given)
Those scientists which are managers cannot be pilots - FOLLOWS

✓ Conclusion III: "No pilots is a managers"
Conversion of "No managers is a pilots" - FOLLOWS

Answer: Conclusions II and III follow

Question 4

Statements: All carnivores are warm-blooded. Some warm-blooded are invertebrates. No invertebrates is a amphibians. Conclusions: I. Some carnivores are not amphibians. II. Some warm-blooded are not amphibians. III. No amphibians is a invertebrates.

Step-by-Step Analysis:

Statement 1: All carnivores are warm-blooded → carnivores inside warm-blooded
Statement 2: Some warm-blooded are invertebrates → warm-blooded and invertebrates overlap
Statement 3: No invertebrates is a amphibians → invertebrates and amphibians separate

Checking Conclusions:

✗ Conclusion I: "Some carnivores are not amphibians"
Cannot determine relationship between carnivores and amphibians - NOT PROVEN

✓ Conclusion II: "Some warm-blooded are not amphibians"
Some warm-blooded are invertebrates (given) + No invertebrates is amphibians (given)
Those warm-blooded which are invertebrates cannot be amphibians - FOLLOWS

✓ Conclusion III: "No amphibians is a invertebrates"
Conversion of "No invertebrates is a amphibians" - FOLLOWS

Answer: Conclusions II and III follow

Question 5

Statements: All methods are structures. Some structures are principles. No principles is a models. Conclusions: I. Some methods are not models. II. Some structures are not models. III. No models is a principles.

Step-by-Step Analysis:

Statement 1: All methods are structures → methods inside structures
Statement 2: Some structures are principles → structures and principles overlap
Statement 3: No principles is a models → principles and models separate

Checking Conclusions:

✗ Conclusion I: "Some methods are not models"
Cannot determine relationship between methods and models - NOT PROVEN

✓ Conclusion II: "Some structures are not models"
Some structures are principles (given) + No principles is models (given)
Those structures which are principles cannot be models - FOLLOWS

✓ Conclusion III: "No models is a principles"
Conversion of "No principles is a models" - FOLLOWS

Answer: Conclusions II and III follow

Question 6

Statements: All equipment are electronics. Some electronics are vehicles. No vehicles is a furniture. Conclusions: I. Some equipment are not furniture. II. Some electronics are not furniture. III. No furniture is a vehicles.

Step-by-Step Analysis:

Statement 1: All equipment are electronics → equipment inside electronics
Statement 2: Some electronics are vehicles → electronics and vehicles overlap
Statement 3: No vehicles is a furniture → vehicles and furniture separate

Checking Conclusions:

✗ Conclusion I: "Some equipment are not furniture"
Cannot determine relationship between equipment and furniture - NOT PROVEN

✓ Conclusion II: "Some electronics are not furniture"
Some electronics are vehicles (given) + No vehicles is furniture (given)
Those electronics which are vehicles cannot be furniture - FOLLOWS

✓ Conclusion III: "No furniture is a vehicles"
Conversion of "No vehicles is a furniture" - FOLLOWS

Answer: Conclusions II and III follow

Question 7

Statements: All gadgets are electronics. Some electronics are equipment. No equipment is a furniture. Conclusions: I. Some gadgets are not furniture. II. Some electronics are not furniture. III. No furniture is a equipment.

Step-by-Step Analysis:

Statement 1: All gadgets are electronics → gadgets inside electronics
Statement 2: Some electronics are equipment → electronics and equipment overlap
Statement 3: No equipment is a furniture → equipment and furniture separate

Checking Conclusions:

✗ Conclusion I: "Some gadgets are not furniture"
Cannot determine relationship between gadgets and furniture - NOT PROVEN

✓ Conclusion II: "Some electronics are not furniture"
Some electronics are equipment (given) + No equipment is furniture (given)
Those electronics which are equipment cannot be furniture - FOLLOWS

✓ Conclusion III: "No furniture is a equipment"
Conversion of "No equipment is a furniture" - FOLLOWS

Answer: Conclusions II and III follow

Question 8

Statements: All patterns are ideas. Some ideas are theories. No theories is a frameworks. Conclusions: I. Some patterns are not frameworks. II. Some ideas are not frameworks. III. No frameworks is a theories.

Step-by-Step Analysis:

Statement 1: All patterns are ideas → patterns inside ideas
Statement 2: Some ideas are theories → ideas and theories overlap
Statement 3: No theories is a frameworks → theories and frameworks separate

Checking Conclusions:

✗ Conclusion I: "Some patterns are not frameworks"
Cannot determine relationship between patterns and frameworks - NOT PROVEN

✓ Conclusion II: "Some ideas are not frameworks"
Some ideas are theories (given) + No theories is frameworks (given)
Those ideas which are theories cannot be frameworks - FOLLOWS

✓ Conclusion III: "No frameworks is a theories"
Conversion of "No theories is a frameworks" - FOLLOWS

Answer: Conclusions II and III follow

Question 9

Statements: All structures are models. Some models are ideas. No ideas is a processes. Conclusions: I. Some structures are not processes. II. Some models are not processes. III. No processes is a ideas.

Step-by-Step Analysis:

Statement 1: All structures are models → structures inside models
Statement 2: Some models are ideas → models and ideas overlap
Statement 3: No ideas is a processes → ideas and processes separate

Checking Conclusions:

✗ Conclusion I: "Some structures are not processes"
Cannot determine relationship between structures and processes - NOT PROVEN

✓ Conclusion II: "Some models are not processes"
Some models are ideas (given) + No ideas is processes (given)
Those models which are ideas cannot be processes - FOLLOWS

✓ Conclusion III: "No processes is a ideas"
Conversion of "No ideas is a processes" - FOLLOWS

Answer: Conclusions II and III follow

Question 10

Statements: All machines are vehicles. Some vehicles are electronics. No electronics is a tools. Conclusions: I. Some machines are not tools. II. Some vehicles are not tools. III. No tools is a electronics.

Step-by-Step Analysis:

Statement 1: All machines are vehicles → machines inside vehicles
Statement 2: Some vehicles are electronics → vehicles and electronics overlap
Statement 3: No electronics is a tools → electronics and tools separate

Checking Conclusions:

✗ Conclusion I: "Some machines are not tools"
Cannot determine relationship between machines and tools - NOT PROVEN

✓ Conclusion II: "Some vehicles are not tools"
Some vehicles are electronics (given) + No electronics is tools (given)
Those vehicles which are electronics cannot be tools - FOLLOWS

✓ Conclusion III: "No tools is a electronics"
Conversion of "No electronics is a tools" - FOLLOWS

Answer: Conclusions II and III follow

Question 11

Statements: All electronics are tools. Some tools are instruments. No instruments is a utensils. Conclusions: I. Some electronics are not utensils. II. Some tools are not utensils. III. No utensils is a instruments.

Step-by-Step Analysis:

Statement 1: All electronics are tools → electronics inside tools
Statement 2: Some tools are instruments → tools and instruments overlap
Statement 3: No instruments is a utensils → instruments and utensils separate

Checking Conclusions:

✗ Conclusion I: "Some electronics are not utensils"
Cannot determine relationship between electronics and utensils - NOT PROVEN

✓ Conclusion II: "Some tools are not utensils"
Some tools are instruments (given) + No instruments is utensils (given)
Those tools which are instruments cannot be utensils - FOLLOWS

✓ Conclusion III: "No utensils is a instruments"
Conversion of "No instruments is a utensils" - FOLLOWS

Answer: Conclusions II and III follow

Question 12

Statements: All musicians are nurses. Some nurses are managers. No managers is a artists. Conclusions: I. Some musicians are not artists. II. Some nurses are not artists. III. No artists is a managers.

Step-by-Step Analysis:

Statement 1: All musicians are nurses → musicians inside nurses
Statement 2: Some nurses are managers → nurses and managers overlap
Statement 3: No managers is a artists → managers and artists separate

Checking Conclusions:

✗ Conclusion I: "Some musicians are not artists"
Cannot determine relationship between musicians and artists - NOT PROVEN

✓ Conclusion II: "Some nurses are not artists"
Some nurses are managers (given) + No managers is artists (given)
Those nurses which are managers cannot be artists - FOLLOWS

✓ Conclusion III: "No artists is a managers"
Conversion of "No managers is a artists" - FOLLOWS

Answer: Conclusions II and III follow

Question 13

Statements: All carnivores are warm-blooded. Some warm-blooded are cold-blooded. No cold-blooded is a invertebrates. Conclusions: I. Some carnivores are not invertebrates. II. Some warm-blooded are not invertebrates. III. No invertebrates is a cold-blooded.

Step-by-Step Analysis:

Statement 1: All carnivores are warm-blooded → carnivores inside warm-blooded
Statement 2: Some warm-blooded are cold-blooded → warm-blooded and cold-blooded overlap
Statement 3: No cold-blooded is a invertebrates → cold-blooded and invertebrates separate

Checking Conclusions:

✗ Conclusion I: "Some carnivores are not invertebrates"
Cannot determine relationship between carnivores and invertebrates - NOT PROVEN

✓ Conclusion II: "Some warm-blooded are not invertebrates"
Some warm-blooded are cold-blooded (given) + No cold-blooded is invertebrates (given)
Those warm-blooded which are cold-blooded cannot be invertebrates - FOLLOWS

✓ Conclusion III: "No invertebrates is a cold-blooded"
Conversion of "No cold-blooded is a invertebrates" - FOLLOWS

Answer: Conclusions II and III follow

Question 14

Statements: All durable are efficient. Some efficient are accessible. No accessible is a versatile. Conclusions: I. Some durable are not versatile. II. Some efficient are not versatile. III. No versatile is a accessible.

Step-by-Step Analysis:

Statement 1: All durable are efficient → durable inside efficient
Statement 2: Some efficient are accessible → efficient and accessible overlap
Statement 3: No accessible is a versatile → accessible and versatile separate

Checking Conclusions:

✗ Conclusion I: "Some durable are not versatile"
Cannot determine relationship between durable and versatile - NOT PROVEN

✓ Conclusion II: "Some efficient are not versatile"
Some efficient are accessible (given) + No accessible is versatile (given)
Those efficient which are accessible cannot be versatile - FOLLOWS

✓ Conclusion III: "No versatile is a accessible"
Conversion of "No accessible is a versatile" - FOLLOWS

Answer: Conclusions II and III follow

Question 15

Statements: All electronics are utensils. Some utensils are ornaments. No ornaments is a instruments. Conclusions: I. Some electronics are not instruments. II. Some utensils are not instruments. III. No instruments is a ornaments.

Step-by-Step Analysis:

Statement 1: All electronics are utensils → electronics inside utensils
Statement 2: Some utensils are ornaments → utensils and ornaments overlap
Statement 3: No ornaments is a instruments → ornaments and instruments separate

Checking Conclusions:

✗ Conclusion I: "Some electronics are not instruments"
Cannot determine relationship between electronics and instruments - NOT PROVEN

✓ Conclusion II: "Some utensils are not instruments"
Some utensils are ornaments (given) + No ornaments is instruments (given)
Those utensils which are ornaments cannot be instruments - FOLLOWS

✓ Conclusion III: "No instruments is a ornaments"
Conversion of "No ornaments is a instruments" - FOLLOWS

Answer: Conclusions II and III follow

Question 16

Statements: All ornaments are instruments. Some instruments are furniture. No furniture is a vehicles. Conclusions: I. Some ornaments are not vehicles. II. Some instruments are not vehicles. III. No vehicles is a furniture.

Step-by-Step Analysis:

Statement 1: All ornaments are instruments → ornaments inside instruments
Statement 2: Some instruments are furniture → instruments and furniture overlap
Statement 3: No furniture is a vehicles → furniture and vehicles separate

Checking Conclusions:

✗ Conclusion I: "Some ornaments are not vehicles"
Cannot determine relationship between ornaments and vehicles - NOT PROVEN

✓ Conclusion II: "Some instruments are not vehicles"
Some instruments are furniture (given) + No furniture is vehicles (given)
Those instruments which are furniture cannot be vehicles - FOLLOWS

✓ Conclusion III: "No vehicles is a furniture"
Conversion of "No furniture is a vehicles" - FOLLOWS

Answer: Conclusions II and III follow

Question 17

Statements: All pharmacists are athletes. Some athletes are teachers. No teachers is a writers. Conclusions: I. Some pharmacists are not writers. II. Some athletes are not writers. III. No writers is a teachers.

Step-by-Step Analysis:

Statement 1: All pharmacists are athletes → pharmacists inside athletes
Statement 2: Some athletes are teachers → athletes and teachers overlap
Statement 3: No teachers is a writers → teachers and writers separate

Checking Conclusions:

✗ Conclusion I: "Some pharmacists are not writers"
Cannot determine relationship between pharmacists and writers - NOT PROVEN

✓ Conclusion II: "Some athletes are not writers"
Some athletes are teachers (given) + No teachers is writers (given)
Those athletes which are teachers cannot be writers - FOLLOWS

✓ Conclusion III: "No writers is a teachers"
Conversion of "No teachers is a writers" - FOLLOWS

Answer: Conclusions II and III follow

Question 18

Statements: All equipment are instruments. Some instruments are furniture. No furniture is a ornaments. Conclusions: I. Some equipment are not ornaments. II. Some instruments are not ornaments. III. No ornaments is a furniture.

Step-by-Step Analysis:

Statement 1: All equipment are instruments → equipment inside instruments
Statement 2: Some instruments are furniture → instruments and furniture overlap
Statement 3: No furniture is a ornaments → furniture and ornaments separate

Checking Conclusions:

✗ Conclusion I: "Some equipment are not ornaments"
Cannot determine relationship between equipment and ornaments - NOT PROVEN

✓ Conclusion II: "Some instruments are not ornaments"
Some instruments are furniture (given) + No furniture is ornaments (given)
Those instruments which are furniture cannot be ornaments - FOLLOWS

✓ Conclusion III: "No ornaments is a furniture"
Conversion of "No furniture is a ornaments" - FOLLOWS

Answer: Conclusions II and III follow

Question 19

Statements: All equipment are tools. Some tools are appliances. No appliances is a gadgets. Conclusions: I. Some equipment are not gadgets. II. Some tools are not gadgets. III. No gadgets is a appliances.

Step-by-Step Analysis:

Statement 1: All equipment are tools → equipment inside tools
Statement 2: Some tools are appliances → tools and appliances overlap
Statement 3: No appliances is a gadgets → appliances and gadgets separate

Checking Conclusions:

✗ Conclusion I: "Some equipment are not gadgets"
Cannot determine relationship between equipment and gadgets - NOT PROVEN

✓ Conclusion II: "Some tools are not gadgets"
Some tools are appliances (given) + No appliances is gadgets (given)
Those tools which are appliances cannot be gadgets - FOLLOWS

✓ Conclusion III: "No gadgets is a appliances"
Conversion of "No appliances is a gadgets" - FOLLOWS

Answer: Conclusions II and III follow

Question 20

Statements: All vehicles are furniture. Some furniture are instruments. No instruments is a machines. Conclusions: I. Some vehicles are not machines. II. Some furniture are not machines. III. No machines is a instruments.

Step-by-Step Analysis:

Statement 1: All vehicles are furniture → vehicles inside furniture
Statement 2: Some furniture are instruments → furniture and instruments overlap
Statement 3: No instruments is a machines → instruments and machines separate

Checking Conclusions:

✗ Conclusion I: "Some vehicles are not machines"
Cannot determine relationship between vehicles and machines - NOT PROVEN

✓ Conclusion II: "Some furniture are not machines"
Some furniture are instruments (given) + No instruments is machines (given)
Those furniture which are instruments cannot be machines - FOLLOWS

✓ Conclusion III: "No machines is a instruments"
Conversion of "No instruments is a machines" - FOLLOWS

Answer: Conclusions II and III follow

Three Statement Standard: Worksheet 2 - Beginner Practice Three Statement Standard BEGINNER

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