Master Three Statement Standard - Intermediate-Advanced Level Problems Three Statement Standard INTERMEDIATE ADVANCED

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All reptiles are wild → reptiles inside wild
Statement 2: Some wild are herbivores → wild and herbivores overlap
Statement 3: No herbivores is a cold-blooded → herbivores and cold-blooded separate

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All birds are diurnal → birds inside diurnal
Statement 2: Some diurnal are fish → diurnal and fish overlap
Statement 3: No fish is a domestic → fish and domestic separate

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

✓ Conclusion III: "No concepts is a patterns"
Conversion of "No patterns is a concepts" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

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 devices → instruments and devices separate

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

Statement 1: All entrepreneurs are doctors → entrepreneurs inside doctors
Statement 2: Some doctors are architects → doctors and architects overlap
Statement 3: No architects is a athletes → architects and athletes separate

Checking Conclusions:

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

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

✓ Conclusion III: "No athletes is a architects"
Conversion of "No architects is a athletes" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow