Question

Consider the statement, if $n$ is divisible by $30$ then $n$ is divisible by $2,3$ and by $5$. Which of the following statements is equivalent to this statement?

• A. If $n$ is not divisible by $30$ then $n$ is divisible by $2$ or divisible by $3$ or divisible by $5$.
• B. If $n$ is not divisible by $30$ then $n$ is not divisible by $2$ or not divisible by $3$ or not divisible by $5$.
• C. If $n$ is divisible by $2$ and divisible by $3$ and divisible by $5$ then $n$ is divisible by $30$.
• D. If $n$ is not divisible by $2$ or not divisible by $3$ or not divisible by $5$ then $n$ is not divisible by $30$.

Answer 1

Answer: (D)

If $n$ is not divisible by $2$ or not divisible by $3$ or not divisible by $5$ then $n$ is not divisible by $30$.

If $n$ is not divisible by $2$ or divisible by $3$ or not divisible by $5$ then $n$ is divisible by $30$.