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Four Statement Complex - Intermediate Level: tricky scenarios handling Four Statement Complex INTERMEDIATE

This expert challenge 📈 worksheet focuses on Four Statement Complex - a key topic in Syllogism. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve four statement complex, four statement complex tricks, and four statement complex shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Four Statement Complex
Worksheet 5 of 10 (44% complete)

Question 1

Statements: Some furniture are tools. All tools are instruments. No instruments is a gadgets. All gadgets are devices. Conclusions: I. Some furniture are instruments. II. No tools is a gadgets. III. Some devices are not instruments.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some devices 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 2

Statements: Some innovative are reliable. All reliable are efficient. No efficient is a essential. All essential are useful. Conclusions: I. Some innovative are efficient. II. No reliable is a essential. III. Some useful are not efficient.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some useful 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 3

Statements: Some architects are accountants. All accountants are writers. No writers is a pilots. All pilots are pharmacists. Conclusions: I. Some architects are writers. II. No accountants is a pilots. III. Some pharmacists are not writers.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some pharmacists are not writers"
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 patterns are processes. All processes are methods. No methods is a models. All models are theories. Conclusions: I. Some patterns are methods. II. No processes is a models. III. Some theories are not methods.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some theories are not methods"
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 domestic are reptiles. All reptiles are fish. No fish is a carnivores. All carnivores are vertebrates. Conclusions: I. Some domestic are fish. II. No reptiles is a carnivores. III. Some vertebrates are not fish.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

✓ Conclusion II: "No reptiles is a carnivores"
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

Question 6

Statements: Some nurses are accountants. All accountants are teachers. No teachers is a musicians. All musicians are scientists. Conclusions: I. Some nurses are teachers. II. No accountants is a musicians. III. Some scientists are not teachers.
Complex Multi-Statement Analysis:

Statement Chain:
1. Some nurses are accountants → Partial overlap
2. All accountants are teachers → accountants inside teachers
3. No teachers is a musicians → teachers and musicians separate
4. All musicians are scientists → musicians inside scientists

Checking Each Conclusion:

✓ Conclusion I: "Some nurses are teachers"
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 scientists are not teachers"
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 innovative are sustainable. All sustainable are versatile. No versatile is a durable. All durable are useful. Conclusions: I. Some innovative are versatile. II. No sustainable is a durable. III. Some useful are not versatile.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some useful are not versatile"
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 accessible are sustainable. All sustainable are durable. No durable is a versatile. All versatile are rare. Conclusions: I. Some accessible are durable. II. No sustainable is a versatile. III. Some rare are not durable.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some rare are not durable"
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 rare are efficient. All efficient are reliable. No reliable is a accessible. All accessible are sustainable. Conclusions: I. Some rare are reliable. II. No efficient is a accessible. III. Some sustainable are not reliable.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some sustainable 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 10

Statements: Some furniture are electronics. All electronics are instruments. No instruments is a ornaments. All ornaments are gadgets. Conclusions: I. Some furniture are instruments. II. No electronics is a ornaments. III. Some gadgets are not instruments.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

✓ Conclusion I: "Some furniture are instruments"
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 gadgets 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 11

Statements: Some carnivores are cold-blooded. All cold-blooded are domestic. No domestic is a birds. All birds are mammals. Conclusions: I. Some carnivores are domestic. II. No cold-blooded is a birds. III. Some mammals are not domestic.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some mammals are not domestic"
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 diurnal are warm-blooded. All warm-blooded are fish. No fish is a reptiles. All reptiles are nocturnal. Conclusions: I. Some diurnal are fish. II. No warm-blooded is a reptiles. III. Some nocturnal are not fish.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some nocturnal 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 13

Statements: Some reptiles are nocturnal. All nocturnal are mammals. No mammals is a herbivores. All herbivores are fish. Conclusions: I. Some reptiles are mammals. II. No nocturnal is a herbivores. III. Some fish are not mammals.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some fish are not mammals"
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 equipment are utensils. All utensils are appliances. No appliances is a machines. All machines are gadgets. Conclusions: I. Some equipment are appliances. II. No utensils is a machines. III. Some gadgets are not appliances.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some gadgets are not appliances"
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 scientists are pilots. All pilots are writers. No writers is a entrepreneurs. All entrepreneurs are pharmacists. Conclusions: I. Some scientists are writers. II. No pilots is a entrepreneurs. III. Some pharmacists are not writers.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some pharmacists are not writers"
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 warm-blooded are mammals. All mammals are herbivores. No herbivores is a nocturnal. All nocturnal are carnivores. Conclusions: I. Some warm-blooded are herbivores. II. No mammals is a nocturnal. III. Some carnivores are not herbivores.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some carnivores are not herbivores"
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 fish are cold-blooded. All cold-blooded are warm-blooded. No warm-blooded is a mammals. All mammals are domestic. Conclusions: I. Some fish are warm-blooded. II. No cold-blooded is a mammals. III. Some domestic are not warm-blooded.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some domestic 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 18

Statements: Some musicians are artists. All artists are doctors. No doctors is a pilots. All pilots are managers. Conclusions: I. Some musicians are doctors. II. No artists is a pilots. III. Some managers are not doctors.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some managers are not doctors"
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 reptiles are mammals. All mammals are domestic. No domestic is a diurnal. All diurnal are cold-blooded. Conclusions: I. Some reptiles are domestic. II. No mammals is a diurnal. III. Some cold-blooded are not domestic.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

✓ Conclusion III: "Some cold-blooded are not domestic"
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 utensils are machines. All machines are vehicles. No vehicles is a electronics. All electronics are appliances. Conclusions: I. Some utensils are vehicles. II. No machines is a electronics. III. Some appliances are not vehicles.
Complex Multi-Statement Analysis:

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

Checking Each Conclusion:

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

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

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

Answer: All conclusions I, II and III follow
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