Possibility Case Beginner-Intermediate Worksheet: Focus on common variations practice Possibility Case BEGINNER INTERMEDIATE

Level up your Possibility Case skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: possibility case for competitive exams, how to solve possibility case, possibility case tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Possibility Case
Worksheet 4 of 10 (33% complete)

Question 1

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

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

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

Checking Conclusions:

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

Conclusion II: "All reliable being durable is a possibility"
Since definite negative exists ("No durable is a reliable"), 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 invertebrates are amphibians. No amphibians is a nocturnal. Conclusions: I. No invertebrates is a nocturnal. II. All nocturnal being invertebrates is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All nocturnal being invertebrates is a possibility"
Since definite negative exists ("No invertebrates is a nocturnal"), 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 instruments are equipment. No equipment is a devices. Conclusions: I. No instruments is a devices. II. All devices being instruments is a possibility.
Definite Conclusion Analysis:

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

Analytical Method:
All instruments are equipment (A) + No equipment is a devices (E) = A + E = E
Result: No instruments is a devices

Checking Conclusions:

Conclusion I: "No instruments is a devices" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All devices being instruments is a possibility"
Since definite negative exists ("No instruments is a devices"), 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 accountants are artists. No artists is a writers. Conclusions: I. No accountants is a writers. II. All writers being accountants is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All writers being accountants is a possibility"
Since definite negative exists ("No accountants is a writers"), 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 essential are valuable. No valuable is a versatile. Conclusions: I. No essential is a versatile. II. All versatile being essential is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All versatile being essential is a possibility"
Since definite negative exists ("No essential is a versatile"), 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 vehicles are utensils. No utensils is a machines. Conclusions: I. No vehicles is a machines. II. All machines being vehicles is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

Conclusion I: "No vehicles is a machines" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All machines being vehicles is a possibility"
Since definite negative exists ("No vehicles is a machines"), 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 processes are models. No models is a frameworks. Conclusions: I. No processes is a frameworks. II. All frameworks being processes is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All frameworks being processes is a possibility"
Since definite negative exists ("No processes is a frameworks"), 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 instruments are vehicles. No vehicles is a ornaments. Conclusions: I. No instruments is a ornaments. II. All ornaments being instruments is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All ornaments being instruments is a possibility"
Since definite negative exists ("No instruments 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 9

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

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

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

Checking Conclusions:

Conclusion I: "No electronics is a machines" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All machines being electronics is a possibility"
Since definite negative exists ("No electronics is a machines"), 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 machines are furniture. No furniture is a tools. Conclusions: I. No machines is a tools. II. All tools being machines is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All tools being machines is a possibility"
Since definite negative exists ("No machines is a tools"), 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 accountants are scientists. No scientists is a pharmacists. Conclusions: I. No accountants is a pharmacists. II. All pharmacists being accountants is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All pharmacists being accountants is a possibility"
Since definite negative exists ("No accountants is a pharmacists"), 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 durable are rare. No rare is a beautiful. Conclusions: I. No durable is a beautiful. II. All beautiful being durable is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All beautiful being durable is a possibility"
Since definite negative exists ("No durable is a beautiful"), 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 pharmacists are artists. No artists is a writers. Conclusions: I. No pharmacists is a writers. II. All writers being pharmacists is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

Conclusion I: "No pharmacists is a writers" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All writers being pharmacists is a possibility"
Since definite negative exists ("No pharmacists is a writers"), 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 electronics are instruments. No instruments is a equipment. Conclusions: I. No electronics is a equipment. II. All equipment being electronics is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

Conclusion I: "No electronics is a equipment" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All equipment being electronics is a possibility"
Since definite negative exists ("No electronics is a equipment"), 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 innovative are rare. No rare is a essential. Conclusions: I. No innovative is a essential. II. All essential being innovative is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All essential being innovative is a possibility"
Since definite negative exists ("No innovative 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 16

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

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

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

Checking Conclusions:

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

Conclusion II: "All patterns being theories is a possibility"
Since definite negative exists ("No theories is a patterns"), 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 devices are tools. No tools is a vehicles. Conclusions: I. No devices is a vehicles. II. All vehicles being devices is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

Conclusion I: "No devices is a vehicles" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All vehicles being devices is a possibility"
Since definite negative exists ("No devices is a vehicles"), 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 principles are patterns. No patterns is a concepts. Conclusions: I. No principles is a concepts. II. All concepts being principles is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All concepts being principles is a possibility"
Since definite negative exists ("No principles 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 19

Statements: All structures are principles. No principles is a methods. Conclusions: I. No structures is a methods. II. All methods 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 methods → principles and methods completely separate
Step 3: Since structures inside principles, structures also doesn't touch methods

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

Checking Conclusions:

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

Conclusion II: "All methods being structures is a possibility"
Since definite negative exists ("No structures 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 20

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

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

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

Checking Conclusions:

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

Conclusion II: "All equipment being ornaments is a possibility"
Since definite negative exists ("No ornaments is a equipment"), 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
Previous Worksheet Next Worksheet