Write an equivalent sentence for the statement.
-An number n is divisible by 3 if and only if the sum of the digits of n is divisible by 3. (Hint: Use The fact that (p → q) ∧ (q → p) is equivalent to p ↔ q.)
A) The sum of the digits of n is divisible by 3 or the number n is divisible by 3.
B) If a number n is divisible by 3 then the sum of the digits of n is divisible by 3, and if the sum of the digits of n is divisible by 3 then the number n is divisible by 3.
C) If a number n is divisible by 3 then the sum of the digits of n is divisible by 3, or if the sum of the digits of n is divisible by 3 then the number n is divisible by 3.
D) A number n is divisible by 3 and the sum of the digits of n is divisible by 3.

Question

Quizplus · Accepted Answer

Option B correctly rephrases the given statement using the logical equivalence of "if and only if" (↔) as a combination of two conditional statements (→ and ←), which matches the hint provided.

Write an Equivalent Sentence for the Statement