A All volunteers benefit everyone
B Some volunteers may benefit everyone
C No volunteers benefit everyone
D All community benefits come from volunteers
Explanation: We can only conclude that some volunteers may benefit everyone.
A Preschool is popular
B Better school performance indicates improved outcomes
C Outcomes matter
D Preschool is accessible
Explanation: If better school performance indicates improved outcomes, this strengthens the education-outcome link.
A A is true
B B is true
C C is true
D All of the above
Explanation: D→A and D true means A true. E→B and E true means B true. A∧B→C means C true.
A All motivational books create impact
B Some motivational books may create impact
C No motivational books create impact
D All impact comes from motivational books
Explanation: All motivational books inspire action, which drives change, which creates impact.
A Slippery slope
B Ad hominem
C Straw man
D Circular reasoning
Explanation: Assuming technology leads to human obsolescence is a slippery slope.
A A is false
B B is false
C D is false
D Both B and D are false
Explanation: A∧B→C and C is false means A∧B is false. Since B is true, A must be false. Similarly, A∧D→E and E is false with D true also means A is false.
A All developing countries will grow economically
B Some developing countries may grow economically
C No developing countries will grow economically
D All economic growth comes from developing countries
Explanation: We can only conclude that some developing countries may grow economically.
A Art provides creative expression
B Creative expression processes emotions
C Emotional processing heals
D All of the above
Explanation: For the argument to hold, all these assumptions must be true.
A P is true
B P is false
C R is true
D R is false
Explanation: Q∧R→S and S is false means Q∧R is false. Since Q is true, R must be false.
A All artists drive innovation
B Some artists may drive innovation
C No artists drive innovation
D All innovation comes from artists
Explanation: We can only conclude that some artists may drive innovation.
A EVs are clean
B Battery production has carbon costs
C Gasoline is harmful
D Carbon footprints matter
Explanation: If battery production has carbon costs, EVs may not reduce overall carbon footprints as much as claimed.
A C is true
B D is unknown
C E is unknown
D Both A and C are true
Explanation: A∧B→C and both true means C true. A is already given as true.
A All island nations affect the environment
B Some island nations may affect the environment
C No island nations affect the environment
D All environmental impact comes from islands
Explanation: All island nations depend on imports, which require shipping, which affects the environment.
A Renewable energy reduces emissions
B Emissions cause climate change
C We should invest in renewables
D Climate change is bad
Explanation: The recommendation to invest in renewables is the conclusion supported by the premises.
A Q is true
B R is true
C S is true
D All of Q-S are false
Explanation: By modus tollens backwards, T false means S false, R false, Q false.
Explanation: If P→Q→R→P forms a cycle, all must have the same truth value. If only one is true, contradiction. So none can be true.
A Between B and D
B Opposite A
C Between A and B
D Next to D
Explanation: If A is opposite C in a circle, C is directly across from A.
A AI is more efficient
B Efficiency determines hiring
C Most jobs can be automated
D All of the above
Explanation: For the conclusion to follow, efficiency must determine hiring and most jobs must be automatable.
A Statement 1 is true
B Statement 5 is false
C Statements 1, 2, 5 are true
D Cannot determine specific truths
Explanation: Without knowing which 3 are true, we cannot determine the truth values of individual statements.
A Both true
B Both false
C One true, one false
D Cannot determine
Explanation: R being true doesn\'t determine P or Q. They could be true or false independently.