Only Statement Pattern | Final Worksheet (10/10) - Master Level

Question 1

Statements: Only ideas are strategies. All strategies are principles. Conclusions: I. All ideas are principles. II. Some principles are ideas.

Understanding 'Only' Statement:
"Only ideas are strategies" means "All strategies are ideas" (reversal!)

Conversion:
Original: Only ideas are strategies
Converted: All strategies are ideas

Venn Diagram:
Step 1: "All strategies are ideas" → strategies inside ideas
Step 2: "All strategies are principles" → strategies inside principles
Step 3: strategies inside both ideas and principles

Checking Conclusions:

✗ Conclusion I: "All ideas are principles"
We only know strategies is inside both - ideas could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some principles are ideas"
All strategies are ideas and all strategies are principles
The strategies portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 2

Statements: Only electronics are vehicles. All vehicles are tools. Conclusions: I. All electronics are tools. II. Some tools are electronics.

Understanding 'Only' Statement:
"Only electronics are vehicles" means "All vehicles are electronics" (reversal!)

Conversion:
Original: Only electronics are vehicles
Converted: All vehicles are electronics

Venn Diagram:
Step 1: "All vehicles are electronics" → vehicles inside electronics
Step 2: "All vehicles are tools" → vehicles inside tools
Step 3: vehicles inside both electronics and tools

Checking Conclusions:

✗ Conclusion I: "All electronics are tools"
We only know vehicles is inside both - electronics could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some tools are electronics"
All vehicles are electronics and all vehicles are tools
The vehicles portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 3

Statements: Only pharmacists are scientists. All scientists are lawyers. Conclusions: I. All pharmacists are lawyers. II. Some lawyers are pharmacists.

Understanding 'Only' Statement:
"Only pharmacists are scientists" means "All scientists are pharmacists" (reversal!)

Conversion:
Original: Only pharmacists are scientists
Converted: All scientists are pharmacists

Venn Diagram:
Step 1: "All scientists are pharmacists" → scientists inside pharmacists
Step 2: "All scientists are lawyers" → scientists inside lawyers
Step 3: scientists inside both pharmacists and lawyers

Checking Conclusions:

✗ Conclusion I: "All pharmacists are lawyers"
We only know scientists is inside both - pharmacists could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some lawyers are pharmacists"
All scientists are pharmacists and all scientists are lawyers
The scientists portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 4

Statements: Only fish are carnivores. All carnivores are mammals. Conclusions: I. All fish are mammals. II. Some mammals are fish.

Understanding 'Only' Statement:
"Only fish are carnivores" means "All carnivores are fish" (reversal!)

Conversion:
Original: Only fish are carnivores
Converted: All carnivores are fish

Venn Diagram:
Step 1: "All carnivores are fish" → carnivores inside fish
Step 2: "All carnivores are mammals" → carnivores inside mammals
Step 3: carnivores inside both fish and mammals

Checking Conclusions:

✗ Conclusion I: "All fish are mammals"
We only know carnivores is inside both - fish could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some mammals are fish"
All carnivores are fish and all carnivores are mammals
The carnivores portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 5

Statements: Only systems are processes. All processes are principles. Conclusions: I. All systems are principles. II. Some principles are systems.

Understanding 'Only' Statement:
"Only systems are processes" means "All processes are systems" (reversal!)

Conversion:
Original: Only systems are processes
Converted: All processes are systems

Venn Diagram:
Step 1: "All processes are systems" → processes inside systems
Step 2: "All processes are principles" → processes inside principles
Step 3: processes inside both systems and principles

Checking Conclusions:

✗ Conclusion I: "All systems are principles"
We only know processes is inside both - systems could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some principles are systems"
All processes are systems and all processes are principles
The processes portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 6

Statements: Only machines are tools. All tools are gadgets. Conclusions: I. All machines are gadgets. II. Some gadgets are machines.

Understanding 'Only' Statement:
"Only machines are tools" means "All tools are machines" (reversal!)

Conversion:
Original: Only machines are tools
Converted: All tools are machines

Venn Diagram:
Step 1: "All tools are machines" → tools inside machines
Step 2: "All tools are gadgets" → tools inside gadgets
Step 3: tools inside both machines and gadgets

Checking Conclusions:

✗ Conclusion I: "All machines are gadgets"
We only know tools is inside both - machines could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some gadgets are machines"
All tools are machines and all tools are gadgets
The tools portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 7

Statements: Only electronics are ornaments. All ornaments are instruments. Conclusions: I. All electronics are instruments. II. Some instruments are electronics.

Understanding 'Only' Statement:
"Only electronics are ornaments" means "All ornaments are electronics" (reversal!)

Conversion:
Original: Only electronics are ornaments
Converted: All ornaments are electronics

Venn Diagram:
Step 1: "All ornaments are electronics" → ornaments inside electronics
Step 2: "All ornaments are instruments" → ornaments inside instruments
Step 3: ornaments inside both electronics and instruments

Checking Conclusions:

✗ Conclusion I: "All electronics are instruments"
We only know ornaments is inside both - electronics could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some instruments are electronics"
All ornaments are electronics and all ornaments are instruments
The ornaments portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 8

Statements: Only utensils are instruments. All instruments are electronics. Conclusions: I. All utensils are electronics. II. Some electronics are utensils.

Understanding 'Only' Statement:
"Only utensils are instruments" means "All instruments are utensils" (reversal!)

Conversion:
Original: Only utensils are instruments
Converted: All instruments are utensils

Venn Diagram:
Step 1: "All instruments are utensils" → instruments inside utensils
Step 2: "All instruments are electronics" → instruments inside electronics
Step 3: instruments inside both utensils and electronics

Checking Conclusions:

✗ Conclusion I: "All utensils are electronics"
We only know instruments is inside both - utensils could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some electronics are utensils"
All instruments are utensils and all instruments are electronics
The instruments portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 9

Statements: Only carnivores are diurnal. All diurnal are vertebrates. Conclusions: I. All carnivores are vertebrates. II. Some vertebrates are carnivores.

Understanding 'Only' Statement:
"Only carnivores are diurnal" means "All diurnal are carnivores" (reversal!)

Conversion:
Original: Only carnivores are diurnal
Converted: All diurnal are carnivores

Venn Diagram:
Step 1: "All diurnal are carnivores" → diurnal inside carnivores
Step 2: "All diurnal are vertebrates" → diurnal inside vertebrates
Step 3: diurnal inside both carnivores and vertebrates

Checking Conclusions:

✗ Conclusion I: "All carnivores are vertebrates"
We only know diurnal is inside both - carnivores could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some vertebrates are carnivores"
All diurnal are carnivores and all diurnal are vertebrates
The diurnal portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 10

Statements: Only omnivores are amphibians. All amphibians are nocturnal. Conclusions: I. All omnivores are nocturnal. II. Some nocturnal are omnivores.

Understanding 'Only' Statement:
"Only omnivores are amphibians" means "All amphibians are omnivores" (reversal!)

Conversion:
Original: Only omnivores are amphibians
Converted: All amphibians are omnivores

Venn Diagram:
Step 1: "All amphibians are omnivores" → amphibians inside omnivores
Step 2: "All amphibians are nocturnal" → amphibians inside nocturnal
Step 3: amphibians inside both omnivores and nocturnal

Checking Conclusions:

✗ Conclusion I: "All omnivores are nocturnal"
We only know amphibians is inside both - omnivores could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some nocturnal are omnivores"
All amphibians are omnivores and all amphibians are nocturnal
The amphibians portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 11

Statements: Only musicians are architects. All architects are pharmacists. Conclusions: I. All musicians are pharmacists. II. Some pharmacists are musicians.

Understanding 'Only' Statement:
"Only musicians are architects" means "All architects are musicians" (reversal!)

Conversion:
Original: Only musicians are architects
Converted: All architects are musicians

Venn Diagram:
Step 1: "All architects are musicians" → architects inside musicians
Step 2: "All architects are pharmacists" → architects inside pharmacists
Step 3: architects inside both musicians and pharmacists

Checking Conclusions:

✗ Conclusion I: "All musicians are pharmacists"
We only know architects is inside both - musicians could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some pharmacists are musicians"
All architects are musicians and all architects are pharmacists
The architects portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 12

Statements: Only managers are accountants. All accountants are architects. Conclusions: I. All managers are architects. II. Some architects are managers.

Understanding 'Only' Statement:
"Only managers are accountants" means "All accountants are managers" (reversal!)

Conversion:
Original: Only managers are accountants
Converted: All accountants are managers

Venn Diagram:
Step 1: "All accountants are managers" → accountants inside managers
Step 2: "All accountants are architects" → accountants inside architects
Step 3: accountants inside both managers and architects

Checking Conclusions:

✗ Conclusion I: "All managers are architects"
We only know accountants is inside both - managers could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some architects are managers"
All accountants are managers and all accountants are architects
The accountants portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 13

Statements: Only vertebrates are reptiles. All reptiles are fish. Conclusions: I. All vertebrates are fish. II. Some fish are vertebrates.

Understanding 'Only' Statement:
"Only vertebrates are reptiles" means "All reptiles are vertebrates" (reversal!)

Conversion:
Original: Only vertebrates are reptiles
Converted: All reptiles are vertebrates

Venn Diagram:
Step 1: "All reptiles are vertebrates" → reptiles inside vertebrates
Step 2: "All reptiles are fish" → reptiles inside fish
Step 3: reptiles inside both vertebrates and fish

Checking Conclusions:

✗ Conclusion I: "All vertebrates are fish"
We only know reptiles is inside both - vertebrates could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some fish are vertebrates"
All reptiles are vertebrates and all reptiles are fish
The reptiles portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 14

Statements: Only birds are invertebrates. All invertebrates are fish. Conclusions: I. All birds are fish. II. Some fish are birds.

Understanding 'Only' Statement:
"Only birds are invertebrates" means "All invertebrates are birds" (reversal!)

Conversion:
Original: Only birds are invertebrates
Converted: All invertebrates are birds

Venn Diagram:
Step 1: "All invertebrates are birds" → invertebrates inside birds
Step 2: "All invertebrates are fish" → invertebrates inside fish
Step 3: invertebrates inside both birds and fish

Checking Conclusions:

✗ Conclusion I: "All birds are fish"
We only know invertebrates is inside both - birds could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some fish are birds"
All invertebrates are birds and all invertebrates are fish
The invertebrates portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 15

Statements: Only reptiles are vertebrates. All vertebrates are cold-blooded. Conclusions: I. All reptiles are cold-blooded. II. Some cold-blooded are reptiles.

Understanding 'Only' Statement:
"Only reptiles are vertebrates" means "All vertebrates are reptiles" (reversal!)

Conversion:
Original: Only reptiles are vertebrates
Converted: All vertebrates are reptiles

Venn Diagram:
Step 1: "All vertebrates are reptiles" → vertebrates inside reptiles
Step 2: "All vertebrates are cold-blooded" → vertebrates inside cold-blooded
Step 3: vertebrates inside both reptiles and cold-blooded

Checking Conclusions:

✗ Conclusion I: "All reptiles are cold-blooded"
We only know vertebrates is inside both - reptiles could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some cold-blooded are reptiles"
All vertebrates are reptiles and all vertebrates are cold-blooded
The vertebrates portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 16

Statements: Only essential are innovative. All innovative are versatile. Conclusions: I. All essential are versatile. II. Some versatile are essential.

Understanding 'Only' Statement:
"Only essential are innovative" means "All innovative are essential" (reversal!)

Conversion:
Original: Only essential are innovative
Converted: All innovative are essential

Venn Diagram:
Step 1: "All innovative are essential" → innovative inside essential
Step 2: "All innovative are versatile" → innovative inside versatile
Step 3: innovative inside both essential and versatile

Checking Conclusions:

✗ Conclusion I: "All essential are versatile"
We only know innovative is inside both - essential could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some versatile are essential"
All innovative are essential and all innovative are versatile
The innovative portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 17

Statements: Only patterns are structures. All structures are principles. Conclusions: I. All patterns are principles. II. Some principles are patterns.

Understanding 'Only' Statement:
"Only patterns are structures" means "All structures are patterns" (reversal!)

Conversion:
Original: Only patterns are structures
Converted: All structures are patterns

Venn Diagram:
Step 1: "All structures are patterns" → structures inside patterns
Step 2: "All structures are principles" → structures inside principles
Step 3: structures inside both patterns and principles

Checking Conclusions:

✗ Conclusion I: "All patterns are principles"
We only know structures is inside both - patterns could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some principles are patterns"
All structures are patterns and all structures are principles
The structures portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 18

Statements: Only pilots are scientists. All scientists are engineers. Conclusions: I. All pilots are engineers. II. Some engineers are pilots.

Understanding 'Only' Statement:
"Only pilots are scientists" means "All scientists are pilots" (reversal!)

Conversion:
Original: Only pilots are scientists
Converted: All scientists are pilots

Venn Diagram:
Step 1: "All scientists are pilots" → scientists inside pilots
Step 2: "All scientists are engineers" → scientists inside engineers
Step 3: scientists inside both pilots and engineers

Checking Conclusions:

✗ Conclusion I: "All pilots are engineers"
We only know scientists is inside both - pilots could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some engineers are pilots"
All scientists are pilots and all scientists are engineers
The scientists portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 19

Statements: Only theories are patterns. All patterns are systems. Conclusions: I. All theories are systems. II. Some systems are theories.

Understanding 'Only' Statement:
"Only theories are patterns" means "All patterns are theories" (reversal!)

Conversion:
Original: Only theories are patterns
Converted: All patterns are theories

Venn Diagram:
Step 1: "All patterns are theories" → patterns inside theories
Step 2: "All patterns are systems" → patterns inside systems
Step 3: patterns inside both theories and systems

Checking Conclusions:

✗ Conclusion I: "All theories are systems"
We only know patterns is inside both - theories could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some systems are theories"
All patterns are theories and all patterns are systems
The patterns portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Question 20

Statements: Only pharmacists are teachers. All teachers are musicians. Conclusions: I. All pharmacists are musicians. II. Some musicians are pharmacists.

Understanding 'Only' Statement:
"Only pharmacists are teachers" means "All teachers are pharmacists" (reversal!)

Conversion:
Original: Only pharmacists are teachers
Converted: All teachers are pharmacists

Venn Diagram:
Step 1: "All teachers are pharmacists" → teachers inside pharmacists
Step 2: "All teachers are musicians" → teachers inside musicians
Step 3: teachers inside both pharmacists and musicians

Checking Conclusions:

✗ Conclusion I: "All pharmacists are musicians"
We only know teachers is inside both - pharmacists could be larger - DOES NOT FOLLOW

✓ Conclusion II: "Some musicians are pharmacists"
All teachers are pharmacists and all teachers are musicians
The teachers portion is common to both - FOLLOWS

Answer: Only conclusion II follows

Only Statement Pattern: Worksheet 10 - Expert Practice Only Statement Pattern EXPERT

What you'll learn in this worksheet: