Four Statement Complex | Worksheet 3/10 - Beginner skill builder ⚡ ...

Question 1

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

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some doctors 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 2

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

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some diurnal 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 3

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

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some structures are not models"
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 efficient are essential. All essential are rare. No rare is a durable. All durable are useful. Conclusions: I. Some efficient are rare. II. No essential is a durable. III. Some useful are not rare.

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some useful are not rare"
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 processes are models. All models are strategies. No strategies is a methods. All methods are frameworks. Conclusions: I. Some processes are strategies. II. No models is a methods. III. Some frameworks are not strategies.

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some frameworks are not strategies"
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 nurses are musicians. All musicians are engineers. No engineers is a entrepreneurs. All entrepreneurs are doctors. Conclusions: I. Some nurses are engineers. II. No musicians is a entrepreneurs. III. Some doctors are not engineers.

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some doctors 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 7

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

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some essential are not reliable"
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 managers are pharmacists. All pharmacists are scientists. No scientists is a accountants. All accountants are architects. Conclusions: I. Some managers are scientists. II. No pharmacists is a accountants. III. Some architects are not scientists.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some managers are pharmacists → Partial overlap
2. All pharmacists are scientists → pharmacists inside scientists
3. No scientists is a accountants → scientists and accountants separate
4. All accountants are architects → accountants inside architects

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some architects are not scientists"
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 accountants are entrepreneurs. All entrepreneurs are artists. No artists is a lawyers. All lawyers are managers. Conclusions: I. Some accountants are artists. II. No entrepreneurs is a lawyers. III. Some managers are not artists.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some accountants are entrepreneurs → Partial overlap
2. All entrepreneurs are artists → entrepreneurs inside artists
3. No artists is a lawyers → artists and lawyers separate
4. All lawyers are managers → lawyers inside managers

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some managers are not artists"
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 models are principles. All principles are concepts. No concepts is a methods. All methods are structures. Conclusions: I. Some models are concepts. II. No principles is a methods. III. Some structures are not concepts.

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some structures are not concepts"
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 pilots are scientists. All scientists are pharmacists. No pharmacists is a artists. All artists are teachers. Conclusions: I. Some pilots are pharmacists. II. No scientists is a artists. III. Some teachers are not pharmacists.

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some teachers are not pharmacists"
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 rare are valuable. All valuable are accessible. No accessible is a essential. All essential are durable. Conclusions: I. Some rare are accessible. II. No valuable is a essential. III. Some durable are not accessible.

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some durable are not accessible"
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 utensils are devices. All devices are furniture. No furniture is a electronics. All electronics are ornaments. Conclusions: I. Some utensils are furniture. II. No devices is a electronics. III. Some ornaments are not furniture.

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some ornaments are not furniture"
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 essential are beautiful. All beautiful are sustainable. No sustainable is a useful. All useful are rare. Conclusions: I. Some essential are sustainable. II. No beautiful is a useful. III. Some rare are not sustainable.

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some rare 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 15

Statements: Some mammals are omnivores. All omnivores are warm-blooded. No warm-blooded is a vertebrates. All vertebrates are invertebrates. Conclusions: I. Some mammals are warm-blooded. II. No omnivores is a vertebrates. III. Some invertebrates are not warm-blooded.

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

✓ Conclusion I: "Some mammals are warm-blooded"
Some A are B (I) + All B are C (A) = I + A = I - FOLLOWS

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

✓ Conclusion III: "Some invertebrates are not warm-blooded"
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 reptiles are carnivores. All carnivores are fish. No fish is a mammals. All mammals are diurnal. Conclusions: I. Some reptiles are fish. II. No carnivores is a mammals. III. Some diurnal are not fish.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some reptiles are carnivores → Partial overlap
2. All carnivores are fish → carnivores inside fish
3. No fish is a mammals → fish and mammals separate
4. All mammals are diurnal → mammals inside diurnal

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some diurnal 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

Question 17

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

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some scientists 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 18

Statements: Some pharmacists are engineers. All engineers are architects. No architects is a teachers. All teachers are nurses. Conclusions: I. Some pharmacists are architects. II. No engineers is a teachers. III. Some nurses are not architects.

Complex Multi-Statement Analysis:

Statement Chain:
1. Some pharmacists are engineers → Partial overlap
2. All engineers are architects → engineers inside architects
3. No architects is a teachers → architects and teachers separate
4. All teachers are nurses → teachers inside nurses

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some nurses are not architects"
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 equipment are electronics. All electronics are devices. No devices is a ornaments. All ornaments are tools. Conclusions: I. Some equipment are devices. II. No electronics is a ornaments. III. Some tools are not devices.

Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some tools are not devices"
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 innovative are useful. All useful are sustainable. No sustainable is a rare. All rare are essential. Conclusions: I. Some innovative are sustainable. II. No useful is a rare. III. Some essential are not sustainable.

Complex Multi-Statement Analysis:

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

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 useful is a rare"
All B are C (A) + No C is D (E) = A + E = E - FOLLOWS

✓ Conclusion III: "Some essential 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

Master Four Statement Complex - Beginner Level Problems Four Statement Complex BEGINNER

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