Answer:
B. Law of syllogism.
Explanation:
The deductive reasoning behind the set of arguments is the Law of Syllogism, defined by the following logical rule:
1) [tex]\alpha \Rightarrow \beta[/tex]
2) [tex]\beta \Rightarrow \gamma[/tex]
Hence,
3) [tex]\alpha \Rightarrow \gamma[/tex]
In this case, we have three simple propositions:
[tex]\alpha =[/tex] A number ends in 0.
[tex]\beta =[/tex] A number is divisible by 10.
[tex]\gamma =[/tex] A number is divisible by 5.
The reasoning represented by the consecutive arguments is:
1) If a number ends in 0, then it is divisible by 10.
2) If a number is divisible by 10, then it is divisible by 5.
Hence,
3) If a number ends in 0, then it is divisible by 5.
