Possibility Case - Intermediate Level: tricky scenarios handling Possibility Case INTERMEDIATE

This expert challenge 📈 worksheet focuses on Possibility Case - 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 possibility case, possibility case tricks, and possibility case 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 Possibility Case
Worksheet 5 of 10 (44% complete)

Question 1

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

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

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

Checking Conclusions:

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

Conclusion II: "All utensils being appliances is a possibility"
Since definite negative exists ("No appliances is a utensils"), 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 vertebrates are diurnal. No diurnal is a nocturnal. Conclusions: I. No vertebrates is a nocturnal. II. All nocturnal being vertebrates is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All nocturnal being vertebrates is a possibility"
Since definite negative exists ("No vertebrates 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 wild are reptiles. No reptiles is a vertebrates. Conclusions: I. No wild is a vertebrates. II. All vertebrates being wild is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All vertebrates being wild is a possibility"
Since definite negative exists ("No wild is a vertebrates"), 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 pharmacists are athletes. No athletes 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 athletes → pharmacists inside athletes
Step 2: No athletes is a writers → athletes and writers completely separate
Step 3: Since pharmacists inside athletes, pharmacists also doesn't touch writers

Analytical Method:
All pharmacists are athletes (A) + No athletes 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 5

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

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

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

Checking Conclusions:

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

Conclusion II: "All equipment being devices is a possibility"
Since definite negative exists ("No devices 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 6

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

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

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

Checking Conclusions:

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

Conclusion II: "All equipment being tools is a possibility"
Since definite negative exists ("No tools 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 7

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

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

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

Checking Conclusions:

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

Conclusion II: "All electronics being gadgets is a possibility"
Since definite negative exists ("No gadgets is a electronics"), 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 reliable. No reliable is a efficient. Conclusions: I. No useful is a efficient. II. All efficient being useful is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All efficient being useful is a possibility"
Since definite negative exists ("No useful is a efficient"), 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 methods are strategies. No strategies is a ideas. Conclusions: I. No methods is a ideas. II. All ideas being methods is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All ideas being methods is a possibility"
Since definite negative exists ("No methods 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 10

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

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

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

Checking Conclusions:

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

Conclusion II: "All versatile being reliable is a possibility"
Since definite negative exists ("No reliable 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 11

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

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

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

Checking Conclusions:

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

Conclusion II: "All versatile being innovative is a possibility"
Since definite negative exists ("No innovative 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 12

Statements: All durable are rare. No rare 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 rare → durable inside rare
Step 2: No rare is a reliable → rare and reliable completely separate
Step 3: Since durable inside rare, durable also doesn't touch reliable

Analytical Method:
All durable are rare (A) + No rare 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 13

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

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

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

Checking Conclusions:

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

Conclusion II: "All structures being theories is a possibility"
Since definite negative exists ("No theories is a structures"), 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 devices are equipment. No equipment 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 equipment → devices inside equipment
Step 2: No equipment is a vehicles → equipment and vehicles completely separate
Step 3: Since devices inside equipment, devices also doesn't touch vehicles

Analytical Method:
All devices are equipment (A) + No equipment 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 15

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

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

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

Checking Conclusions:

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

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

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

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

Checking Conclusions:

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

Conclusion II: "All machines being tools is a possibility"
Since definite negative exists ("No tools 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 17

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

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

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

Checking Conclusions:

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

Conclusion II: "All devices being tools is a possibility"
Since definite negative exists ("No tools 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 18

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

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

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

Checking Conclusions:

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

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

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

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

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

Checking Conclusions:

Conclusion I: "No models is a systems" - DEFINITE CONCLUSION - FOLLOWS

Conclusion II: "All systems being models is a possibility"
Since definite negative exists ("No models is a systems"), 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 mammals are amphibians. No amphibians is a carnivores. Conclusions: I. No mammals is a carnivores. II. All carnivores being mammals is a possibility.
Definite Conclusion Analysis:

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

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

Checking Conclusions:

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

Conclusion II: "All carnivores being mammals is a possibility"
Since definite negative exists ("No mammals is a carnivores"), 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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