All numbers divisible by 100 are divisible by 25.
All numbers divisible by 25 are divisible by 5.
Conjecture: All numbers divisible by 100 are divisible by 5. Use deductive reasoning to verify the conjecture, or provide a counterexample if the conjecture is false.
A. true; law of detachment
B. true; law of syllogism
C. false; 75 is divisible by 5, but 75 is not divisible by 100
D. false; 200 is not divisible by 5