What form of deductive reasoning is used in the given argument? If a number ends in 0, then it is divisible by 10. If a number is divisible by 10, then it is divisible by 5. If a number ends in 0, then it is divisible by 5. A. Law of detachment B. Law of syllogism C. Law of contrapositive D. Identification of counterexample

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)

2)

Hence,

3)

In this case, we have three simple propositions:

A number ends in 0.

A number is divisible by 10.

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.