Possibility Case - Absolute-Beginner Level: core concept mastery Possibility Case ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Possibility Case - 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 possibility case problems, possibility case reasoning questions, and possibility case practice through systematic practice.

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

What you'll learn in this worksheet:
Your progress through Possibility Case
Worksheet 1 of 10 (0% complete)

Question 1

Statements: All principles are models. No models is a methods. Conclusions: I. No principles is a methods. II. All methods being principles is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All principles are models → principles inside models
Step 2: No models is a methods → models and methods completely separate
Step 3: Since principles inside models, principles also doesn't touch methods

Analytical Method:
All principles are models (A) + No models is a methods (E) = A + E = E
Result: No principles is a methods

Checking Conclusions:

Conclusion I: "No principles is a methods" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All methods being principles is a possibility"
Since definite negative exists ("No principles is a methods"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 2

Statements: All wild are birds. No birds is a fish. Conclusions: I. No wild is a fish. II. All fish being wild is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All wild are birds → wild inside birds
Step 2: No birds is a fish → birds and fish completely separate
Step 3: Since wild inside birds, wild also doesn't touch fish

Analytical Method:
All wild are birds (A) + No birds is a fish (E) = A + E = E
Result: No wild is a fish

Checking Conclusions:

Conclusion I: "No wild is a fish" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All fish being wild is a possibility"
Since definite negative exists ("No wild is a fish"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 3

Statements: All concepts are frameworks. No frameworks is a ideas. Conclusions: I. No concepts is a ideas. II. All ideas being concepts is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All concepts are frameworks → concepts inside frameworks
Step 2: No frameworks is a ideas → frameworks and ideas completely separate
Step 3: Since concepts inside frameworks, concepts also doesn't touch ideas

Analytical Method:
All concepts are frameworks (A) + No frameworks is a ideas (E) = A + E = E
Result: No concepts is a ideas

Checking Conclusions:

Conclusion I: "No concepts is a ideas" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All ideas being concepts is a possibility"
Since definite negative exists ("No concepts is a ideas"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 4

Statements: All structures are principles. No principles is a ideas. Conclusions: I. No structures is a ideas. II. All ideas being structures is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All structures are principles → structures inside principles
Step 2: No principles is a ideas → principles and ideas completely separate
Step 3: Since structures inside principles, structures also doesn't touch ideas

Analytical Method:
All structures are principles (A) + No principles is a ideas (E) = A + E = E
Result: No structures is a ideas

Checking Conclusions:

Conclusion I: "No structures is a ideas" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All ideas being structures is a possibility"
Since definite negative exists ("No structures is a ideas"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 5

Statements: All accessible are reliable. No reliable is a useful. Conclusions: I. No accessible is a useful. II. All useful being accessible is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All accessible are reliable → accessible inside reliable
Step 2: No reliable is a useful → reliable and useful completely separate
Step 3: Since accessible inside reliable, accessible also doesn't touch useful

Analytical Method:
All accessible are reliable (A) + No reliable is a useful (E) = A + E = E
Result: No accessible is a useful

Checking Conclusions:

Conclusion I: "No accessible is a useful" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All useful being accessible is a possibility"
Since definite negative exists ("No accessible is a useful"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 6

Statements: All versatile are valuable. No valuable is a durable. Conclusions: I. No versatile is a durable. II. All durable being versatile is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All versatile are valuable → versatile inside valuable
Step 2: No valuable is a durable → valuable and durable completely separate
Step 3: Since versatile inside valuable, versatile also doesn't touch durable

Analytical Method:
All versatile are valuable (A) + No valuable is a durable (E) = A + E = E
Result: No versatile is a durable

Checking Conclusions:

Conclusion I: "No versatile is a durable" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All durable being versatile is a possibility"
Since definite negative exists ("No versatile is a durable"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 7

Statements: All methods are concepts. No concepts is a processes. Conclusions: I. No methods is a processes. II. All processes being methods is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All methods are concepts → methods inside concepts
Step 2: No concepts is a processes → concepts and processes completely separate
Step 3: Since methods inside concepts, methods also doesn't touch processes

Analytical Method:
All methods are concepts (A) + No concepts is a processes (E) = A + E = E
Result: No methods is a processes

Checking Conclusions:

Conclusion I: "No methods is a processes" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All processes being methods is a possibility"
Since definite negative exists ("No methods is a processes"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 8

Statements: All useful are rare. No rare is a essential. Conclusions: I. No useful is a essential. II. All essential being useful is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All useful are rare → useful inside rare
Step 2: No rare is a essential → rare and essential completely separate
Step 3: Since useful inside rare, useful also doesn't touch essential

Analytical Method:
All useful are rare (A) + No rare is a essential (E) = A + E = E
Result: No useful is a essential

Checking Conclusions:

Conclusion I: "No useful is a essential" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All essential being useful is a possibility"
Since definite negative exists ("No useful is a essential"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 9

Statements: All doctors are entrepreneurs. No entrepreneurs is a managers. Conclusions: I. No doctors is a managers. II. All managers being doctors is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All doctors are entrepreneurs → doctors inside entrepreneurs
Step 2: No entrepreneurs is a managers → entrepreneurs and managers completely separate
Step 3: Since doctors inside entrepreneurs, doctors also doesn't touch managers

Analytical Method:
All doctors are entrepreneurs (A) + No entrepreneurs is a managers (E) = A + E = E
Result: No doctors is a managers

Checking Conclusions:

Conclusion I: "No doctors is a managers" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All managers being doctors is a possibility"
Since definite negative exists ("No doctors is a managers"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 10

Statements: All nocturnal are herbivores. No herbivores is a birds. Conclusions: I. No nocturnal is a birds. II. All birds being nocturnal is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All nocturnal are herbivores → nocturnal inside herbivores
Step 2: No herbivores is a birds → herbivores and birds completely separate
Step 3: Since nocturnal inside herbivores, nocturnal also doesn't touch birds

Analytical Method:
All nocturnal are herbivores (A) + No herbivores is a birds (E) = A + E = E
Result: No nocturnal is a birds

Checking Conclusions:

Conclusion I: "No nocturnal is a birds" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All birds being nocturnal is a possibility"
Since definite negative exists ("No nocturnal is a birds"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 11

Statements: All lawyers are musicians. No musicians is a artists. Conclusions: I. No lawyers is a artists. II. All artists being lawyers is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All lawyers are musicians → lawyers inside musicians
Step 2: No musicians is a artists → musicians and artists completely separate
Step 3: Since lawyers inside musicians, lawyers also doesn't touch artists

Analytical Method:
All lawyers are musicians (A) + No musicians is a artists (E) = A + E = E
Result: No lawyers is a artists

Checking Conclusions:

Conclusion I: "No lawyers is a artists" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All artists being lawyers is a possibility"
Since definite negative exists ("No lawyers is a artists"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 12

Statements: All ideas are processes. No processes is a concepts. Conclusions: I. No ideas is a concepts. II. All concepts being ideas is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All ideas are processes → ideas inside processes
Step 2: No processes is a concepts → processes and concepts completely separate
Step 3: Since ideas inside processes, ideas also doesn't touch concepts

Analytical Method:
All ideas are processes (A) + No processes is a concepts (E) = A + E = E
Result: No ideas is a concepts

Checking Conclusions:

Conclusion I: "No ideas is a concepts" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All concepts being ideas is a possibility"
Since definite negative exists ("No ideas is a concepts"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 13

Statements: All mammals are reptiles. No reptiles is a herbivores. Conclusions: I. No mammals is a herbivores. II. All herbivores being mammals is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All mammals are reptiles → mammals inside reptiles
Step 2: No reptiles is a herbivores → reptiles and herbivores completely separate
Step 3: Since mammals inside reptiles, mammals also doesn't touch herbivores

Analytical Method:
All mammals are reptiles (A) + No reptiles is a herbivores (E) = A + E = E
Result: No mammals is a herbivores

Checking Conclusions:

Conclusion I: "No mammals is a herbivores" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All herbivores being mammals is a possibility"
Since definite negative exists ("No mammals is a herbivores"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 14

Statements: All architects are scientists. No scientists is a nurses. Conclusions: I. No architects is a nurses. II. All nurses being architects is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All architects are scientists → architects inside scientists
Step 2: No scientists is a nurses → scientists and nurses completely separate
Step 3: Since architects inside scientists, architects also doesn't touch nurses

Analytical Method:
All architects are scientists (A) + No scientists is a nurses (E) = A + E = E
Result: No architects is a nurses

Checking Conclusions:

Conclusion I: "No architects is a nurses" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All nurses being architects is a possibility"
Since definite negative exists ("No architects is a nurses"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 15

Statements: All gadgets are vehicles. No vehicles is a ornaments. Conclusions: I. No gadgets is a ornaments. II. All ornaments being gadgets is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All gadgets are vehicles → gadgets inside vehicles
Step 2: No vehicles is a ornaments → vehicles and ornaments completely separate
Step 3: Since gadgets inside vehicles, gadgets also doesn't touch ornaments

Analytical Method:
All gadgets are vehicles (A) + No vehicles is a ornaments (E) = A + E = E
Result: No gadgets is a ornaments

Checking Conclusions:

Conclusion I: "No gadgets is a ornaments" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All ornaments being gadgets is a possibility"
Since definite negative exists ("No gadgets is a ornaments"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 16

Statements: All pilots are lawyers. No lawyers is a entrepreneurs. Conclusions: I. No pilots is a entrepreneurs. II. All entrepreneurs being pilots is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All pilots are lawyers → pilots inside lawyers
Step 2: No lawyers is a entrepreneurs → lawyers and entrepreneurs completely separate
Step 3: Since pilots inside lawyers, pilots also doesn't touch entrepreneurs

Analytical Method:
All pilots are lawyers (A) + No lawyers is a entrepreneurs (E) = A + E = E
Result: No pilots is a entrepreneurs

Checking Conclusions:

Conclusion I: "No pilots is a entrepreneurs" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All entrepreneurs being pilots is a possibility"
Since definite negative exists ("No pilots is a entrepreneurs"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 17

Statements: All pilots are teachers. No teachers is a accountants. Conclusions: I. No pilots is a accountants. II. All accountants being pilots is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All pilots are teachers → pilots inside teachers
Step 2: No teachers is a accountants → teachers and accountants completely separate
Step 3: Since pilots inside teachers, pilots also doesn't touch accountants

Analytical Method:
All pilots are teachers (A) + No teachers is a accountants (E) = A + E = E
Result: No pilots is a accountants

Checking Conclusions:

Conclusion I: "No pilots is a accountants" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All accountants being pilots is a possibility"
Since definite negative exists ("No pilots is a accountants"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 18

Statements: All theories are structures. No structures is a ideas. Conclusions: I. No theories is a ideas. II. All ideas being theories is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All theories are structures → theories inside structures
Step 2: No structures is a ideas → structures and ideas completely separate
Step 3: Since theories inside structures, theories also doesn't touch ideas

Analytical Method:
All theories are structures (A) + No structures is a ideas (E) = A + E = E
Result: No theories is a ideas

Checking Conclusions:

Conclusion I: "No theories is a ideas" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All ideas being theories is a possibility"
Since definite negative exists ("No theories is a ideas"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 19

Statements: All tools are electronics. No electronics is a appliances. Conclusions: I. No tools is a appliances. II. All appliances being tools is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All tools are electronics → tools inside electronics
Step 2: No electronics is a appliances → electronics and appliances completely separate
Step 3: Since tools inside electronics, tools also doesn't touch appliances

Analytical Method:
All tools are electronics (A) + No electronics is a appliances (E) = A + E = E
Result: No tools is a appliances

Checking Conclusions:

Conclusion I: "No tools is a appliances" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All appliances being tools is a possibility"
Since definite negative exists ("No tools is a appliances"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows

Question 20

Statements: All accessible are durable. No durable is a sustainable. Conclusions: I. No accessible is a sustainable. II. All sustainable being accessible is a possibility.
Definite Conclusion Analysis:

Venn Diagram:
Step 1: All accessible are durable → accessible inside durable
Step 2: No durable is a sustainable → durable and sustainable completely separate
Step 3: Since accessible inside durable, accessible also doesn't touch sustainable

Analytical Method:
All accessible are durable (A) + No durable is a sustainable (E) = A + E = E
Result: No accessible is a sustainable

Checking Conclusions:

Conclusion I: "No accessible is a sustainable" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All sustainable being accessible is a possibility"
Since definite negative exists ("No accessible is a sustainable"), this possibility is IMPOSSIBLE
DOES NOT FOLLOW

Important Rule: When definite negative conclusion exists between terms, positive possibility becomes FALSE.

Answer: Only conclusion I follows
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