Question

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

Explanation:

The argument links three conditional statements: it takes the form "If P, then Q; If Q, then R; therefore If P, then R", which matches the structure of the law of syllogism, a form of deductive reasoning that chains conditional statements together. The law of detachment uses a single conditional and a premise affirming the antecedent, the contrapositive involves reversing and negating a conditional, and a counterexample disproves a statement, none of which apply here.

Answer:

B. law of syllogism