Mathematics

Johnathan Carlson

8 May, 16:49

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