Three Statement Standard - Expert Level: conceptual clarity Three Statement Standard EXPERT

Step-by-Step Analysis:

Statement 1: All reliable are essential → reliable inside essential
Statement 2: Some essential are useful → essential and useful overlap
Statement 3: No useful is a valuable → useful and valuable separate

Checking Conclusions:

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

✓ Conclusion II: "Some essential are not valuable"
Some essential are useful (given) + No useful is valuable (given)
Those essential which are useful cannot be valuable - FOLLOWS

✓ Conclusion III: "No valuable is a useful"
Conversion of "No useful is a valuable" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All innovative are durable → innovative inside durable
Statement 2: Some durable are rare → durable and rare overlap
Statement 3: No rare is a valuable → rare and valuable separate

Checking Conclusions:

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

✓ Conclusion II: "Some durable are not valuable"
Some durable are rare (given) + No rare is valuable (given)
Those durable which are rare cannot be valuable - FOLLOWS

✓ Conclusion III: "No valuable is a rare"
Conversion of "No rare is a valuable" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

✓ Conclusion III: "No efficient is a useful"
Conversion of "No useful is a efficient" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All amphibians are omnivores → amphibians inside omnivores
Statement 2: Some omnivores are carnivores → omnivores and carnivores overlap
Statement 3: No carnivores is a reptiles → carnivores and reptiles separate

Checking Conclusions:

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

✓ Conclusion II: "Some omnivores are not reptiles"
Some omnivores are carnivores (given) + No carnivores is reptiles (given)
Those omnivores which are carnivores cannot be reptiles - FOLLOWS

✓ Conclusion III: "No reptiles is a carnivores"
Conversion of "No carnivores is a reptiles" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All teachers are accountants → teachers inside accountants
Statement 2: Some accountants are doctors → accountants and doctors overlap
Statement 3: No doctors is a nurses → doctors and nurses separate

Checking Conclusions:

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

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

✓ Conclusion III: "No nurses is a doctors"
Conversion of "No doctors is a nurses" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All omnivores are vertebrates → omnivores inside vertebrates
Statement 2: Some vertebrates are diurnal → vertebrates and diurnal overlap
Statement 3: No diurnal is a carnivores → diurnal and carnivores separate

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

✓ Conclusion III: "No scientists is a nurses"
Conversion of "No nurses is a scientists" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

✗ Conclusion I: "Some birds are not warm-blooded"
Cannot determine relationship between birds and warm-blooded - NOT PROVEN

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

✓ Conclusion III: "No warm-blooded is a mammals"
Conversion of "No mammals is a warm-blooded" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All omnivores are warm-blooded → omnivores inside warm-blooded
Statement 2: Some warm-blooded are vertebrates → warm-blooded and vertebrates overlap
Statement 3: No vertebrates is a reptiles → vertebrates and reptiles separate

Checking Conclusions:

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

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

✓ Conclusion III: "No reptiles is a vertebrates"
Conversion of "No vertebrates is a reptiles" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All rare are sustainable → rare inside sustainable
Statement 2: Some sustainable are reliable → sustainable and reliable overlap
Statement 3: No reliable is a useful → reliable and useful separate

Checking Conclusions:

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

✓ Conclusion II: "Some sustainable are not useful"
Some sustainable are reliable (given) + No reliable is useful (given)
Those sustainable which are reliable cannot be useful - FOLLOWS

✓ Conclusion III: "No useful is a reliable"
Conversion of "No reliable is a useful" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

✓ Conclusion II: "Some tools are not machines"
Some tools are instruments (given) + No instruments is machines (given)
Those tools 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

Step-by-Step Analysis:

Statement 1: All vertebrates are amphibians → vertebrates inside amphibians
Statement 2: Some amphibians are fish → amphibians and fish overlap
Statement 3: No fish is a cold-blooded → fish and cold-blooded separate

Checking Conclusions:

✗ Conclusion I: "Some vertebrates are not cold-blooded"
Cannot determine relationship between vertebrates and cold-blooded - NOT PROVEN

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All innovative are rare → innovative inside rare
Statement 2: Some rare are sustainable → rare and sustainable overlap
Statement 3: No sustainable is a valuable → sustainable and valuable separate

Checking Conclusions:

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

✓ Conclusion II: "Some rare are not valuable"
Some rare are sustainable (given) + No sustainable is valuable (given)
Those rare which are sustainable cannot be valuable - FOLLOWS

✓ Conclusion III: "No valuable is a sustainable"
Conversion of "No sustainable is a valuable" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All lawyers are pilots → lawyers inside pilots
Statement 2: Some pilots are entrepreneurs → pilots and entrepreneurs overlap
Statement 3: No entrepreneurs is a artists → entrepreneurs and artists separate

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

✓ Conclusion II: "Some omnivores are not carnivores"
Some omnivores are vertebrates (given) + No vertebrates is carnivores (given)
Those omnivores which are vertebrates cannot be carnivores - FOLLOWS

✓ Conclusion III: "No carnivores is a vertebrates"
Conversion of "No vertebrates is a carnivores" - FOLLOWS

Answer: Conclusions II and III follow