Three Statement Standard Advanced Worksheet: Focus on exam-oriented approach Three Statement Standard ADVANCED

Step-by-Step Analysis:

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

Checking Conclusions:

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

✓ Conclusion II: "Some machines are not equipment"
Some machines are utensils (given) + No utensils is equipment (given)
Those machines 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 birds are nocturnal → birds inside nocturnal
Statement 2: Some nocturnal are invertebrates → nocturnal and invertebrates overlap
Statement 3: No invertebrates is a omnivores → invertebrates and omnivores separate

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

✓ Conclusion III: "No structures is a systems"
Conversion of "No systems is a structures" - FOLLOWS

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

✓ Conclusion III: "No machines is a equipment"
Conversion of "No equipment is a machines" - 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 versatile → rare and versatile overlap
Statement 3: No versatile is a useful → versatile and useful separate

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

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

Answer: Conclusions II and III follow

Step-by-Step Analysis:

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

Checking Conclusions:

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

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

✓ Conclusion III: "No pilots is a nurses"
Conversion of "No nurses is a pilots" - 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 equipment → tools and equipment overlap
Statement 3: No equipment is a furniture → equipment and furniture separate

Checking Conclusions:

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

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