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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Definitions:

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The percentage of an amount of money which is charged for its use per a given period, typically expressed as an annual percentage.

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An American stock market index based on the market capitalizations of 500 large companies listed on the NYSE or NASDAQ.

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A standardized contract to buy or sell a specific currency at a specified price on a future date, used for hedging or speculation on currency movements.