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