A Copper conducts electricity
B All conductors are metals
C Some metals don\'t conduct
D Copper is not a metal
Explanation: By syllogism, copper must conduct electricity.
A Exercise is good
B John also smokes
C Healthy people exercise
D Exercise is popular
Explanation: If John also smokes, his health could be negatively affected despite exercise.
A Some X are Z
B No X are Z
C Some X may not be Z
D All X are Z
Explanation: We can only say some X may not be Z, not that no X are Z.
A Ad hominem
B Non sequitur
C Straw man
D Circular reasoning
Explanation: Being rich does not logically lead to being happy; the conclusion doesn\'t follow.
A B is false
B B is true
C Both are false
D Both are true
Explanation: By disjunctive syllogism, if A or B is true and A is false, B must be true.
A All roses need water
B Some roses need water
C Not all roses need water
D Roses don\'t need water
Explanation: By syllogism, all roses need water.
A It\'s raining
B Rain comes from clouds
C We need an umbrella
D Clouds produce rain
Explanation: The final claim that we need an umbrella is the conclusion supported by the premises.
A P is true
B P is false
C Nothing about P
D P is unknown
Explanation: Affirming the consequent is a fallacy. Q being true doesn\'t prove P is true.
A All dogs are furry
B Some dogs are furry
C No dogs are furry
D All furry animals are dogs
Explanation: Since some dogs are brown and all brown animals are furry, some dogs are furry.
A Everyone can vote
B Civic duty is important
C Voting is the only civic duty
D Not everyone wants to vote
Explanation: The argument assumes that civic duty is important enough to motivate voting.
A Some A are B
B All A are not B
C Some B are A
D All B are not A
Explanation: If no A are B, then all A are not B (equivalent statement).
A Invalid
B Valid
C A fallacy
D Cannot determine
Explanation: This is a valid syllogism following the transitive property.
A It is cold
B It is not cold
C I like the cold
D Nothing follows
Explanation: By modus tollens, if cold→jacket and no jacket, then not cold.
A Ali passed
B Ali might have passed
C Ali failed
D Not all students passed
Explanation: By syllogism, since all students passed and Ali is a student, Ali passed.
A Education reduces crime
B Crime is bad
C Funding education works
D All of the above
Explanation: The argument requires all these assumptions to hold for the conclusion to follow.
A False
B True
C Unknown
D Contradictory
Explanation: In logic, \'or\' is inclusive. If both A and B are true, A or B is true.
A All cats are beautiful
B Some cats are beautiful
C No cats are beautiful
D All beautiful animals are cats
Explanation: Since some cats are black and all black animals are beautiful, some cats are beautiful.
A A valid argument
B A hasty generalization
C A sound argument
D A logical deduction
Explanation: Assuming all politicians are corrupt based on stereotypes is a hasty generalization.
A P or Q is true
B P or Q is false
C Contradiction
D Cannot determine
Explanation: If both P and Q are false, then P or Q must be false.
A Sharks live in water
B All water creatures are fish
C Some fish live on land
D Sharks don\'t need water
Explanation: By syllogism, sharks live in water.