A Some A are C
B No A are C
C All A are C
D Some C are A
Explanation: If no A are B and all B are C, then no A can be C.
A All students succeed
B Some students succeed
C No students succeed
D All successful people are students
Explanation: Since some students are intelligent and all intelligent people succeed, some students succeed.
A Private schools are expensive
B Their students come from wealthier families
C Public schools have more students
D Scores matter
Explanation: If wealthier families provide more resources, the higher scores may not be due to school quality.
A A is true
B A is false
C B is true
D A is unknown
Explanation: By modus tollens, if A→B and ¬B, then ¬A.
A All books have text
B Some books have text
C No books have text
D All text is in books
Explanation: Since all books have pages and some pages have text, some books have text.
A A valid argument
B An appeal to emotion
C A logical deduction
D A factual statement
Explanation: Labeling dissenters as unpatriotic is an emotional manipulation, not logical reasoning.
A Q is false
B Q is true
C P is true
D Both are false
Explanation: By disjunctive syllogism, if P∨Q and ¬P, then Q.
A All cars are fast
B Some cars are fast
C No cars are fast
D All fast vehicles are cars
Explanation: Since some cars are red and all red vehicles are fast, some cars are fast.
A Fossil fuels will run out
B Solar energy is viable
C Investment helps development
D All of the above
Explanation: The argument requires all these assumptions for the conclusion to follow logically.
A B is true
B B is false
C A is false
D Both are true
Explanation: If A and B are mutually exclusive and A is true, B must be false.
A Sharks swim
B All swimming things are fish
C Some fish don\'t swim
D Sharks don\'t swim
Explanation: By syllogism, sharks swim.
A A valid argument
B Judging by appearance
C A logical conclusion
D A proven fact
Explanation: Concluding guilt from appearance is a logical fallacy.
A P is always true
B Q is always false
C P and Q are equivalent
D P and Q are unrelated
Explanation: If P implies Q and Q implies P, then P and Q are logically equivalent.
A All birds fly
B Some birds don\'t fly
C No birds fly
D Penguins are not birds
Explanation: Since some birds are penguins and no penguins fly, some birds don\'t fly.
A Slippery slope
B Ad hominem
C Straw man
D Circular reasoning
Explanation: Assuming one action leads to a chain of extreme consequences is a slippery slope.
A A or B is false
B A or B is true
C Contradiction
D Cannot determine
Explanation: In inclusive \'or\', if both are true, the disjunction is true.
A Earth orbits the sun
B All things orbit the sun
C Some planets don\'t orbit the sun
D The sun orbits Earth
Explanation: By syllogism, Earth orbits the sun.
A A logical argument
B An appeal to tradition
C A scientific claim
D An objective fact
Explanation: Assuming traditional methods are better simply because they are traditional is an appeal to tradition.
A Q is true
B Q is false
C Q is unknown
D Q is contradictory
Explanation: Denying the antecedent doesn\'t tell us anything about Q.
A All animals are warm-blooded
B Some animals are warm-blooded
C No animals are warm-blooded
D All warm-blooded things are animals
Explanation: Since some animals are mammals and all mammals are warm-blooded, some animals are warm-blooded.