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Distribution of Terms - Absolute-Beginner Level: core concept mastery Distribution of Terms ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Distribution of Terms - a key topic in Syllogism. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master distribution of terms problems, distribution of terms reasoning questions, and distribution of terms practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
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Worksheet 1 of 10 (0% complete)

Question 1

Statements: All pilots are managers. Some pilots are doctors. Conclusions: I. Some managers are doctors. II. All managers being doctors is a possibility. III. Some doctors are managers.
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 pilots are managers" → pilots DISTRIBUTED, managers UNDISTRIBUTED
Statement 2: "Some pilots are doctors" → 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 managers are doctors" - FOLLOWS
✓ Conclusion II: "All managers being doctors is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some doctors are managers" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 2

Statements: All scientists are artists. Some scientists are managers. Conclusions: I. Some artists are managers. II. All artists being managers is a possibility. III. Some managers 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 scientists are artists" → scientists DISTRIBUTED, artists UNDISTRIBUTED
Statement 2: "Some scientists are managers" → 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 managers" - FOLLOWS
✓ Conclusion II: "All artists being managers is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some managers are artists" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 3

Statements: All vertebrates are domestic. Some vertebrates are omnivores. Conclusions: I. Some domestic are omnivores. II. All domestic being omnivores is a possibility. III. Some omnivores are domestic.
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 domestic" → vertebrates DISTRIBUTED, domestic UNDISTRIBUTED
Statement 2: "Some vertebrates are omnivores" → 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 domestic are omnivores" - FOLLOWS
✓ Conclusion II: "All domestic being omnivores is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some omnivores are domestic" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 4

Statements: All structures are processes. Some structures are systems. Conclusions: I. Some processes are systems. II. All processes being systems is a possibility. III. Some systems 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 structures are processes" → structures DISTRIBUTED, processes UNDISTRIBUTED
Statement 2: "Some structures 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 processes are systems" - FOLLOWS
✓ Conclusion II: "All processes being systems is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some systems are processes" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 5

Statements: All devices are gadgets. Some devices are utensils. Conclusions: I. Some gadgets are utensils. II. All gadgets being utensils is a possibility. III. Some utensils are gadgets.
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 gadgets" → devices DISTRIBUTED, gadgets UNDISTRIBUTED
Statement 2: "Some devices 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 gadgets are utensils" - FOLLOWS
✓ Conclusion II: "All gadgets being utensils is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some utensils are gadgets" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 6

Statements: All artists are doctors. Some artists are writers. Conclusions: I. Some doctors are writers. II. All doctors being writers is a possibility. III. Some writers are doctors.
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 artists are doctors" → artists DISTRIBUTED, doctors UNDISTRIBUTED
Statement 2: "Some artists are writers" → 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 doctors are writers" - FOLLOWS
✓ Conclusion II: "All doctors being writers is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some writers are doctors" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 7

Statements: All domestic are warm-blooded. Some domestic are cold-blooded. Conclusions: I. Some warm-blooded are cold-blooded. II. All warm-blooded being cold-blooded is a possibility. III. Some cold-blooded 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 domestic are warm-blooded" → domestic DISTRIBUTED, warm-blooded UNDISTRIBUTED
Statement 2: "Some domestic are cold-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 warm-blooded are cold-blooded" - FOLLOWS
✓ Conclusion II: "All warm-blooded being cold-blooded is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some cold-blooded are warm-blooded" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 8

Statements: All theories are principles. Some theories are ideas. Conclusions: I. Some principles are ideas. II. All principles being ideas is a possibility. III. Some ideas 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 theories are principles" → theories DISTRIBUTED, principles UNDISTRIBUTED
Statement 2: "Some theories are ideas" → 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 ideas" - FOLLOWS
✓ Conclusion II: "All principles being ideas is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some ideas are principles" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 9

Statements: All diurnal are invertebrates. Some diurnal are domestic. Conclusions: I. Some invertebrates are domestic. II. All invertebrates being domestic is a possibility. III. Some domestic are invertebrates.
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 diurnal are invertebrates" → diurnal DISTRIBUTED, invertebrates UNDISTRIBUTED
Statement 2: "Some diurnal are domestic" → 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 invertebrates are domestic" - FOLLOWS
✓ Conclusion II: "All invertebrates being domestic is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some domestic are invertebrates" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 10

Statements: All herbivores are warm-blooded. Some herbivores are nocturnal. Conclusions: I. Some warm-blooded are nocturnal. II. All warm-blooded being nocturnal is a possibility. III. Some nocturnal 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 herbivores are warm-blooded" → herbivores DISTRIBUTED, warm-blooded UNDISTRIBUTED
Statement 2: "Some herbivores are nocturnal" → 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 nocturnal" - FOLLOWS
✓ Conclusion II: "All warm-blooded being nocturnal is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some nocturnal are warm-blooded" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 11

Statements: All frameworks are concepts. Some frameworks 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 frameworks are concepts" → frameworks DISTRIBUTED, concepts UNDISTRIBUTED
Statement 2: "Some frameworks 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

Question 12

Statements: All managers are accountants. Some managers are musicians. Conclusions: I. Some accountants are musicians. II. All accountants being musicians is a possibility. III. Some musicians are accountants.
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 managers are accountants" → managers DISTRIBUTED, accountants UNDISTRIBUTED
Statement 2: "Some managers are musicians" → 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 accountants are musicians" - FOLLOWS
✓ Conclusion II: "All accountants being musicians is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some musicians are accountants" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 13

Statements: All mammals are invertebrates. Some mammals are vertebrates. Conclusions: I. Some invertebrates are vertebrates. II. All invertebrates being vertebrates is a possibility. III. Some vertebrates are invertebrates.
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 invertebrates" → mammals DISTRIBUTED, invertebrates UNDISTRIBUTED
Statement 2: "Some mammals 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 invertebrates are vertebrates" - FOLLOWS
✓ Conclusion II: "All invertebrates being vertebrates is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some vertebrates are invertebrates" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 14

Statements: All writers are architects. Some writers are pilots. Conclusions: I. Some architects are pilots. II. All architects being pilots is a possibility. III. Some pilots are architects.
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 writers are architects" → writers DISTRIBUTED, architects UNDISTRIBUTED
Statement 2: "Some writers are pilots" → 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 architects are pilots" - FOLLOWS
✓ Conclusion II: "All architects being pilots is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some pilots are architects" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 15

Statements: All valuable are accessible. Some valuable are efficient. Conclusions: I. Some accessible are efficient. II. All accessible being efficient is a possibility. III. Some efficient are accessible.
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 valuable are accessible" → valuable DISTRIBUTED, accessible UNDISTRIBUTED
Statement 2: "Some valuable 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 accessible are efficient" - FOLLOWS
✓ Conclusion II: "All accessible being efficient is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some efficient are accessible" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 16

Statements: All concepts are theories. Some concepts are patterns. Conclusions: I. Some theories are patterns. II. All theories being patterns is a possibility. III. Some patterns are theories.
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 theories" → concepts DISTRIBUTED, theories UNDISTRIBUTED
Statement 2: "Some concepts are patterns" → 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 theories are patterns" - FOLLOWS
✓ Conclusion II: "All theories being patterns is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some patterns are theories" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 17

Statements: All electronics are vehicles. Some electronics are tools. Conclusions: I. Some vehicles are tools. II. All vehicles being tools is a possibility. III. Some tools are vehicles.
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 electronics are vehicles" → electronics DISTRIBUTED, vehicles UNDISTRIBUTED
Statement 2: "Some electronics 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 vehicles are tools" - FOLLOWS
✓ Conclusion II: "All vehicles being tools is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some tools are vehicles" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 18

Statements: All fish are reptiles. Some fish are amphibians. Conclusions: I. Some reptiles are amphibians. II. All reptiles being amphibians is a possibility. III. Some amphibians are reptiles.
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 fish are reptiles" → fish DISTRIBUTED, reptiles UNDISTRIBUTED
Statement 2: "Some fish are amphibians" → 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 reptiles are amphibians" - FOLLOWS
✓ Conclusion II: "All reptiles being amphibians is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some amphibians are reptiles" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 19

Statements: All devices are vehicles. Some devices are appliances. Conclusions: I. Some vehicles are appliances. II. All vehicles being appliances is a possibility. III. Some appliances are vehicles.
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 vehicles" → devices DISTRIBUTED, vehicles UNDISTRIBUTED
Statement 2: "Some devices 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 vehicles are appliances" - FOLLOWS
✓ Conclusion II: "All vehicles being appliances is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some appliances are vehicles" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow

Question 20

Statements: All fish are warm-blooded. Some fish are domestic. Conclusions: I. Some warm-blooded are domestic. II. All warm-blooded being domestic is a possibility. III. Some domestic 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 fish are warm-blooded" → fish DISTRIBUTED, warm-blooded UNDISTRIBUTED
Statement 2: "Some fish are domestic" → 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 domestic" - FOLLOWS
✓ Conclusion II: "All warm-blooded being domestic is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some domestic are warm-blooded" - Conversion of I - FOLLOWS

Answer: All conclusions I, II and III follow
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