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Distribution of Terms - Intermediate Level: tricky scenarios handling Distribution of Terms INTERMEDIATE

This expert challenge 📈 worksheet focuses on Distribution of Terms - 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 distribution of terms, distribution of terms tricks, and distribution of terms 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 Distribution of Terms
Worksheet 5 of 10 (44% complete)

Question 1

Statements: All gadgets are tools. Some gadgets are devices. Conclusions: I. Some tools are devices. II. All tools being devices is a possibility. III. Some devices are tools.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All gadgets are tools" → gadgets DISTRIBUTED, tools UNDISTRIBUTED
Statement 2: "Some gadgets are devices" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some tools are devices" - FOLLOWS
✓ Conclusion II: "All tools being devices is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some devices are tools" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 2

Statements: All ornaments are tools. Some ornaments are machines. Conclusions: I. Some tools are machines. II. All tools being machines is a possibility. III. Some machines are tools.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All ornaments are tools" → ornaments DISTRIBUTED, tools UNDISTRIBUTED
Statement 2: "Some ornaments are machines" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some tools are machines" - FOLLOWS
✓ Conclusion II: "All tools being machines is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some machines are tools" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 3

Statements: All entrepreneurs are nurses. Some entrepreneurs are lawyers. Conclusions: I. Some nurses are lawyers. II. All nurses being lawyers is a possibility. III. Some lawyers are nurses.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All entrepreneurs are nurses" → entrepreneurs DISTRIBUTED, nurses UNDISTRIBUTED
Statement 2: "Some entrepreneurs are lawyers" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some nurses are lawyers" - FOLLOWS
✓ Conclusion II: "All nurses being lawyers is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some lawyers are nurses" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 4

Statements: All cold-blooded are warm-blooded. Some cold-blooded are vertebrates. Conclusions: I. Some warm-blooded are vertebrates. II. All warm-blooded being vertebrates is a possibility. III. Some vertebrates are warm-blooded.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All cold-blooded are warm-blooded" → cold-blooded DISTRIBUTED, warm-blooded UNDISTRIBUTED
Statement 2: "Some cold-blooded are vertebrates" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some warm-blooded are vertebrates" - FOLLOWS
✓ Conclusion II: "All warm-blooded being vertebrates is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some vertebrates are warm-blooded" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 5

Statements: All ornaments are electronics. Some ornaments are gadgets. Conclusions: I. Some electronics are gadgets. II. All electronics being gadgets is a possibility. III. Some gadgets are electronics.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All ornaments are electronics" → ornaments DISTRIBUTED, electronics UNDISTRIBUTED
Statement 2: "Some ornaments are gadgets" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some electronics are gadgets" - FOLLOWS
✓ Conclusion II: "All electronics being gadgets is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some gadgets are electronics" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 6

Statements: All devices are machines. Some devices are tools. Conclusions: I. Some machines are tools. II. All machines being tools is a possibility. III. Some tools are machines.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All devices are machines" → devices DISTRIBUTED, machines UNDISTRIBUTED
Statement 2: "Some devices are tools" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some machines are tools" - FOLLOWS
✓ Conclusion II: "All machines being tools is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some tools are machines" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 7

Statements: All strategies are principles. Some strategies are systems. Conclusions: I. Some principles are systems. II. All principles being systems is a possibility. III. Some systems are principles.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All strategies are principles" → strategies DISTRIBUTED, principles UNDISTRIBUTED
Statement 2: "Some strategies are systems" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some principles are systems" - FOLLOWS
✓ Conclusion II: "All principles being systems is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some systems are principles" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 8

Statements: All teachers are artists. Some teachers are accountants. Conclusions: I. Some artists are accountants. II. All artists being accountants is a possibility. III. Some accountants are artists.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All teachers are artists" → teachers DISTRIBUTED, artists UNDISTRIBUTED
Statement 2: "Some teachers are accountants" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some artists are accountants" - FOLLOWS
✓ Conclusion II: "All artists being accountants is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some accountants are artists" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 9

Statements: All vertebrates are cold-blooded. Some vertebrates are diurnal. Conclusions: I. Some cold-blooded are diurnal. II. All cold-blooded being diurnal is a possibility. III. Some diurnal are cold-blooded.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All vertebrates are cold-blooded" → vertebrates DISTRIBUTED, cold-blooded UNDISTRIBUTED
Statement 2: "Some vertebrates are diurnal" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some cold-blooded are diurnal" - FOLLOWS
✓ Conclusion II: "All cold-blooded being diurnal is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some diurnal are cold-blooded" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 10

Statements: All concepts are strategies. Some concepts are models. Conclusions: I. Some strategies are models. II. All strategies being models is a possibility. III. Some models are strategies.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All concepts are strategies" → concepts DISTRIBUTED, strategies UNDISTRIBUTED
Statement 2: "Some concepts are models" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some strategies are models" - FOLLOWS
✓ Conclusion II: "All strategies being models is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some models are strategies" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 11

Statements: All musicians are writers. Some musicians are athletes. Conclusions: I. Some writers are athletes. II. All writers being athletes is a possibility. III. Some athletes are writers.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All musicians are writers" → musicians DISTRIBUTED, writers UNDISTRIBUTED
Statement 2: "Some musicians are athletes" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some writers are athletes" - FOLLOWS
✓ Conclusion II: "All writers being athletes is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some athletes are writers" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 12

Statements: All furniture are instruments. Some furniture are appliances. Conclusions: I. Some instruments are appliances. II. All instruments being appliances is a possibility. III. Some appliances are instruments.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All furniture are instruments" → furniture DISTRIBUTED, instruments UNDISTRIBUTED
Statement 2: "Some furniture are appliances" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some instruments are appliances" - FOLLOWS
✓ Conclusion II: "All instruments being appliances is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some appliances are instruments" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 13

Statements: All frameworks are processes. Some frameworks are strategies. Conclusions: I. Some processes are strategies. II. All processes being strategies is a possibility. III. Some strategies are processes.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All frameworks are processes" → frameworks DISTRIBUTED, processes UNDISTRIBUTED
Statement 2: "Some frameworks are strategies" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some processes are strategies" - FOLLOWS
✓ Conclusion II: "All processes being strategies is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some strategies are processes" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 14

Statements: All entrepreneurs are engineers. Some entrepreneurs are lawyers. Conclusions: I. Some engineers are lawyers. II. All engineers being lawyers is a possibility. III. Some lawyers are engineers.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All entrepreneurs are engineers" → entrepreneurs DISTRIBUTED, engineers UNDISTRIBUTED
Statement 2: "Some entrepreneurs are lawyers" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some engineers are lawyers" - FOLLOWS
✓ Conclusion II: "All engineers being lawyers is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some lawyers are engineers" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 15

Statements: All entrepreneurs are pilots. Some entrepreneurs are pharmacists. Conclusions: I. Some pilots are pharmacists. II. All pilots being pharmacists is a possibility. III. Some pharmacists are pilots.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All entrepreneurs are pilots" → entrepreneurs DISTRIBUTED, pilots UNDISTRIBUTED
Statement 2: "Some entrepreneurs are pharmacists" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some pilots are pharmacists" - FOLLOWS
✓ Conclusion II: "All pilots being pharmacists is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some pharmacists are pilots" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 16

Statements: All reliable are sustainable. Some reliable are efficient. Conclusions: I. Some sustainable are efficient. II. All sustainable being efficient is a possibility. III. Some efficient are sustainable.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All reliable are sustainable" → reliable DISTRIBUTED, sustainable UNDISTRIBUTED
Statement 2: "Some reliable are efficient" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some sustainable are efficient" - FOLLOWS
✓ Conclusion II: "All sustainable being efficient is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some efficient are sustainable" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 17

Statements: All gadgets are ornaments. Some gadgets are utensils. Conclusions: I. Some ornaments are utensils. II. All ornaments being utensils is a possibility. III. Some utensils are ornaments.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All gadgets are ornaments" → gadgets DISTRIBUTED, ornaments UNDISTRIBUTED
Statement 2: "Some gadgets are utensils" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some ornaments are utensils" - FOLLOWS
✓ Conclusion II: "All ornaments being utensils is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some utensils are ornaments" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 18

Statements: All mammals are herbivores. Some mammals are warm-blooded. Conclusions: I. Some herbivores are warm-blooded. II. All herbivores being warm-blooded is a possibility. III. Some warm-blooded are herbivores.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All mammals are herbivores" → mammals DISTRIBUTED, herbivores UNDISTRIBUTED
Statement 2: "Some mammals are warm-blooded" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some herbivores are warm-blooded" - FOLLOWS
✓ Conclusion II: "All herbivores being warm-blooded is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some warm-blooded are herbivores" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 19

Statements: All strategies are systems. Some strategies are models. Conclusions: I. Some systems are models. II. All systems being models is a possibility. III. Some models are systems.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All strategies are systems" → strategies DISTRIBUTED, systems UNDISTRIBUTED
Statement 2: "Some strategies are models" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some systems are models" - FOLLOWS
✓ Conclusion II: "All systems being models is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some models are systems" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 20

Statements: All processes are concepts. Some processes are structures. Conclusions: I. Some concepts are structures. II. All concepts being structures is a possibility. III. Some structures are concepts.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.

Statement Analysis:
Statement 1: "All processes are concepts" → processes DISTRIBUTED, concepts UNDISTRIBUTED
Statement 2: "Some processes are structures" → Both UNDISTRIBUTED

Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C

Checking Conclusions:
✓ Conclusion I: "Some concepts are structures" - FOLLOWS
✓ Conclusion II: "All concepts being structures is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some structures are concepts" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow
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