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Write an Equivalent Sentence for the Statement

Question 201

Multiple Choice

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.

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