A P is true
B T is true
C All are true
D Exactly one is false
Explanation: Equivalence means all must have the same truth value. Having exactly 4 true is impossible.
A All deep learning requires computation
B Some deep learning may require computation
C No deep learning requires computation
D All computation is deep learning
Explanation: All deep learning uses neural networks, which process data, which requires computation.
A Space exploration drives innovation
B Innovation boosts economies
C Governments should fund space programs
D Space exploration is expensive
Explanation: The recommendation to fund space programs is the conclusion.
A Statement 1 is true
B Statement 2 is true
C Statement 3 is true
D Cannot determine
Explanation: Since 1↔2 and 3↔4, either both true or both false in each pair. With exactly 3 true, one pair is fully true and the other has one true, but equivalence means both must be same. Contradiction. So this is impossible.
A B and C
B B, C, and D
C B, C, D, and E
D B only
Explanation: A leads B and C directly. D reports to B, E reports to C.
A AI can optimize resources
B Optimization improves distribution
C Poverty has political causes
D Resource distribution matters
Explanation: If poverty has political causes, AI optimization alone may not solve it.
A All are false
B B is true
C C is true
D Cannot determine
Explanation: If A is false and they form a cycle, all must be false by modus tollens.
A All vaccines reduce healthcare costs
B Some vaccines may reduce healthcare costs
C No vaccines reduce healthcare costs
D All cost reduction comes from vaccines
Explanation: All vaccines prevent disease, which improves health, which reduces healthcare costs.
A Fusion produces minimal waste
B Minimal waste means clean energy
C Fusion is feasible
D All of the above
Explanation: For the argument to hold, all these assumptions must be true.
A All are true
B All are false
C Alternating values
D Cannot determine
Explanation: If P is true and they form a cycle, all must be true by modus ponens.
Explanation: The VP (B) is second in command after the president.
A Slippery slope
B Ad hominem
C Straw man
D Circular reasoning
Explanation: Assuming regulation leads to innovation stopping is a slippery slope.
A Statement 1 is true
B Statement 2 is true
C Statement 3 is true
D Cannot determine
Explanation: If 1 is true, both 2 and 3 are true (3 true, contradiction). So 1 is false. Then 2 and 3 can be independently true or false. With exactly 2 true, both 2 and 3 must be true.
A All startups will provide returns
B Some startups may provide returns
C No startups will provide returns
D All returns come from startups
Explanation: Some startups need funding from investors who expect returns, so some startups may provide returns.
A Education reduces inequality
B Inequality threatens democracy
C We must invest in education
D Democracy is valuable
Explanation: The call to invest in education is the conclusion.
A A is true
B E is true
C Contradiction
D Two are false
Explanation: Equivalence means all must have the same truth value. Having exactly 3 true is impossible.
A R is true
B R is false
C R is unknown
D Contradiction
Explanation: P∧Q→R and both P and Q true means R must be true.
A Drones can fly directly
B Direct flight is faster
C Speed revolutionizes delivery
D All of the above
Explanation: For the argument to hold, all these assumptions must be true.
A All are true
B All are false
C Alternating values
D Cannot determine
Explanation: If A is true and they form a cycle, all must be true by modus ponens.
A A
B B
C D
D None, they are equal
Explanation: All C-level executives (B, C, D, E) are typically equal in rank, below the CEO.