Four Statement Complex | Final Worksheet (10/10) - Master Level

Question 1

Statements: Some pharmacists are accountants. All accountants are entrepreneurs. No entrepreneurs is a doctors. All doctors are nurses. Conclusions: I. Some pharmacists are entrepreneurs. II. No accountants is a doctors. III. Some nurses are not entrepreneurs.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some pharmacists are accountants → Partial overlap
2. All accountants are entrepreneurs → accountants inside entrepreneurs
3. No entrepreneurs is a doctors → entrepreneurs and doctors separate
4. All doctors are nurses → doctors inside nurses

Checking Each Conclusion:

✓ Conclusion I: "Some pharmacists are entrepreneurs"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No accountants is a doctors"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some nurses are not entrepreneurs"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 2

Statements: Some structures are patterns. All patterns are ideas. No ideas is a methods. All methods are concepts. Conclusions: I. Some structures are ideas. II. No patterns is a methods. III. Some concepts are not ideas.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some structures are patterns → Partial overlap
2. All patterns are ideas → patterns inside ideas
3. No ideas is a methods → ideas and methods separate
4. All methods are concepts → methods inside concepts

Checking Each Conclusion:

✓ Conclusion I: "Some structures are ideas"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No patterns is a methods"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some concepts are not ideas"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 3

Statements: Some artists are writers. All writers are engineers. No engineers is a entrepreneurs. All entrepreneurs are architects. Conclusions: I. Some artists are engineers. II. No writers is a entrepreneurs. III. Some architects are not engineers.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some artists are writers → Partial overlap
2. All writers are engineers → writers inside engineers
3. No engineers is a entrepreneurs → engineers and entrepreneurs separate
4. All entrepreneurs are architects → entrepreneurs inside architects

Checking Each Conclusion:

✓ Conclusion I: "Some artists are engineers"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No writers is a entrepreneurs"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some architects are not engineers"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 4

Statements: Some electronics are furniture. All furniture are tools. No tools is a devices. All devices are appliances. Conclusions: I. Some electronics are tools. II. No furniture is a devices. III. Some appliances are not tools.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some electronics are furniture → Partial overlap
2. All furniture are tools → furniture inside tools
3. No tools is a devices → tools and devices separate
4. All devices are appliances → devices inside appliances

Checking Each Conclusion:

✓ Conclusion I: "Some electronics are tools"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No furniture is a devices"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some appliances are not tools"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 5

Statements: Some teachers are scientists. All scientists are lawyers. No lawyers is a architects. All architects are artists. Conclusions: I. Some teachers are lawyers. II. No scientists is a architects. III. Some artists are not lawyers.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some teachers are scientists → Partial overlap
2. All scientists are lawyers → scientists inside lawyers
3. No lawyers is a architects → lawyers and architects separate
4. All architects are artists → architects inside artists

Checking Each Conclusion:

✓ Conclusion I: "Some teachers are lawyers"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No scientists is a architects"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some artists are not lawyers"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 6

Statements: Some processes are principles. All principles are theories. No theories is a models. All models are strategies. Conclusions: I. Some processes are theories. II. No principles is a models. III. Some strategies are not theories.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some processes are principles → Partial overlap
2. All principles are theories → principles inside theories
3. No theories is a models → theories and models separate
4. All models are strategies → models inside strategies

Checking Each Conclusion:

✓ Conclusion I: "Some processes are theories"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No principles is a models"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some strategies are not theories"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 7

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

Complex Multi-Statement Analysis:

Statement Chain:
1. Some devices are tools → Partial overlap
2. All tools are instruments → tools inside instruments
3. No instruments is a vehicles → instruments and vehicles separate
4. All vehicles are machines → vehicles inside machines

Checking Each Conclusion:

✓ Conclusion I: "Some devices are instruments"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No tools is a vehicles"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some machines are not instruments"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 8

Statements: Some rare are essential. All essential are innovative. No innovative is a efficient. All efficient are versatile. Conclusions: I. Some rare are innovative. II. No essential is a efficient. III. Some versatile are not innovative.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some rare are essential → Partial overlap
2. All essential are innovative → essential inside innovative
3. No innovative is a efficient → innovative and efficient separate
4. All efficient are versatile → efficient inside versatile

Checking Each Conclusion:

✓ Conclusion I: "Some rare are innovative"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No essential is a efficient"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some versatile are not innovative"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 9

Statements: Some essential are reliable. All reliable are useful. No useful is a durable. All durable are rare. Conclusions: I. Some essential are useful. II. No reliable is a durable. III. Some rare are not useful.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some essential are reliable → Partial overlap
2. All reliable are useful → reliable inside useful
3. No useful is a durable → useful and durable separate
4. All durable are rare → durable inside rare

Checking Each Conclusion:

✓ Conclusion I: "Some essential are useful"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No reliable is a durable"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some rare are not useful"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 10

Statements: Some domestic are fish. All fish are omnivores. No omnivores is a nocturnal. All nocturnal are cold-blooded. Conclusions: I. Some domestic are omnivores. II. No fish is a nocturnal. III. Some cold-blooded are not omnivores.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some domestic are fish → Partial overlap
2. All fish are omnivores → fish inside omnivores
3. No omnivores is a nocturnal → omnivores and nocturnal separate
4. All nocturnal are cold-blooded → nocturnal inside cold-blooded

Checking Each Conclusion:

✓ Conclusion I: "Some domestic are omnivores"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No fish is a nocturnal"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some cold-blooded are not omnivores"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 11

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

Complex Multi-Statement Analysis:

Statement Chain:
1. Some strategies are patterns → Partial overlap
2. All patterns are ideas → patterns inside ideas
3. No ideas is a theories → ideas and theories separate
4. All theories are processes → theories inside processes

Checking Each Conclusion:

✓ Conclusion I: "Some strategies are ideas"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No patterns is a theories"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some processes are not ideas"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 12

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

Complex Multi-Statement Analysis:

Statement Chain:
1. Some innovative are versatile → Partial overlap
2. All versatile are sustainable → versatile inside sustainable
3. No sustainable is a durable → sustainable and durable separate
4. All durable are reliable → durable inside reliable

Checking Each Conclusion:

✓ Conclusion I: "Some innovative are sustainable"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No versatile is a durable"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some reliable are not sustainable"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 13

Statements: Some systems are processes. All processes are frameworks. No frameworks is a structures. All structures are theories. Conclusions: I. Some systems are frameworks. II. No processes is a structures. III. Some theories are not frameworks.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some systems are processes → Partial overlap
2. All processes are frameworks → processes inside frameworks
3. No frameworks is a structures → frameworks and structures separate
4. All structures are theories → structures inside theories

Checking Each Conclusion:

✓ Conclusion I: "Some systems are frameworks"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No processes is a structures"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some theories are not frameworks"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 14

Statements: Some herbivores are amphibians. All amphibians are diurnal. No diurnal is a warm-blooded. All warm-blooded are reptiles. Conclusions: I. Some herbivores are diurnal. II. No amphibians is a warm-blooded. III. Some reptiles are not diurnal.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some herbivores are amphibians → Partial overlap
2. All amphibians are diurnal → amphibians inside diurnal
3. No diurnal is a warm-blooded → diurnal and warm-blooded separate
4. All warm-blooded are reptiles → warm-blooded inside reptiles

Checking Each Conclusion:

✓ Conclusion I: "Some herbivores are diurnal"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No amphibians is a warm-blooded"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some reptiles are not diurnal"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 15

Statements: Some diurnal are wild. All wild are amphibians. No amphibians is a birds. All birds are herbivores. Conclusions: I. Some diurnal are amphibians. II. No wild is a birds. III. Some herbivores are not amphibians.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some diurnal are wild → Partial overlap
2. All wild are amphibians → wild inside amphibians
3. No amphibians is a birds → amphibians and birds separate
4. All birds are herbivores → birds inside herbivores

Checking Each Conclusion:

✓ Conclusion I: "Some diurnal are amphibians"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No wild is a birds"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some herbivores are not amphibians"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 16

Statements: Some valuable are accessible. All accessible are efficient. No efficient is a sustainable. All sustainable are essential. Conclusions: I. Some valuable are efficient. II. No accessible is a sustainable. III. Some essential are not efficient.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some valuable are accessible → Partial overlap
2. All accessible are efficient → accessible inside efficient
3. No efficient is a sustainable → efficient and sustainable separate
4. All sustainable are essential → sustainable inside essential

Checking Each Conclusion:

✓ Conclusion I: "Some valuable are efficient"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No accessible is a sustainable"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some essential are not efficient"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 17

Statements: Some concepts are models. All models are theories. No theories is a ideas. All ideas are principles. Conclusions: I. Some concepts are theories. II. No models is a ideas. III. Some principles are not theories.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some concepts are models → Partial overlap
2. All models are theories → models inside theories
3. No theories is a ideas → theories and ideas separate
4. All ideas are principles → ideas inside principles

Checking Each Conclusion:

✓ Conclusion I: "Some concepts are theories"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No models is a ideas"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some principles are not theories"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 18

Statements: Some architects are athletes. All athletes are nurses. No nurses is a accountants. All accountants are entrepreneurs. Conclusions: I. Some architects are nurses. II. No athletes is a accountants. III. Some entrepreneurs are not nurses.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some architects are athletes → Partial overlap
2. All athletes are nurses → athletes inside nurses
3. No nurses is a accountants → nurses and accountants separate
4. All accountants are entrepreneurs → accountants inside entrepreneurs

Checking Each Conclusion:

✓ Conclusion I: "Some architects are nurses"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No athletes is a accountants"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some entrepreneurs are not nurses"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 19

Statements: Some pilots are accountants. All accountants are musicians. No musicians is a artists. All artists are pharmacists. Conclusions: I. Some pilots are musicians. II. No accountants is a artists. III. Some pharmacists are not musicians.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some pilots are accountants → Partial overlap
2. All accountants are musicians → accountants inside musicians
3. No musicians is a artists → musicians and artists separate
4. All artists are pharmacists → artists inside pharmacists

Checking Each Conclusion:

✓ Conclusion I: "Some pilots are musicians"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No accountants is a artists"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some pharmacists are not musicians"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Question 20

Statements: Some herbivores are warm-blooded. All warm-blooded are fish. No fish is a diurnal. All diurnal are vertebrates. Conclusions: I. Some herbivores are fish. II. No warm-blooded is a diurnal. III. Some vertebrates are not fish.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some herbivores are warm-blooded → Partial overlap
2. All warm-blooded are fish → warm-blooded inside fish
3. No fish is a diurnal → fish and diurnal separate
4. All diurnal are vertebrates → diurnal inside vertebrates

Checking Each Conclusion:

✓ Conclusion I: "Some herbivores are fish"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

✓ Conclusion II: "No warm-blooded is a diurnal"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some vertebrates are not fish"
All D are E (A) + No C is D (E, converted) = A + E = O* - FOLLOWS

Answer: All conclusions I, II and III follow

Four Statement Complex: Worksheet 10 - Expert Practice Four Statement Complex EXPERT

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