Question

Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3."

Which statements are true regarding his work? Select three options.

The hypothesis of the statement is "the sum of the digits in a number is divisible by 3."
An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."
The statement is not a conditional statement because it does not include both an "if" and a "then" clause.
The statement can be proven true or false.
The conclusion of the statement is written before the hypothesis.

Answer 1

Correct choices: 1, 2, and 4.

- 1 is true: the hypothesis (antecedent) is "the sum of the digits in a number is divisible by 3."
- 2 is true: adding "then" yields an equivalent conditional statement.
- 4 is true: this is a mathematical claim that can be proved true (and in fact is a standard divisibility theorem).

Options 3 and 5 are false: the sentence is a conditional (even if "then" is omitted) and the conclusion follows the hypothesis, not the other way around.